id	sid	tid	token	lemma	pos
ejpam-1206	1	1	1_paris.dvi	1_paris.dvi	PROPN
ejpam-1206	1	2	european	european	ADJ
ejpam-1206	1	3	journal	journal	PROPN
ejpam-1206	1	4	of	of	ADP
ejpam-1206	1	5	pure	pure	ADJ
ejpam-1206	1	6	and	and	CCONJ
ejpam-1206	1	7	applied	apply	VERB
ejpam-1206	1	8	mathematics	mathematic	NOUN
ejpam-1206	1	9	vol	vol	NOUN
ejpam-1206	1	10	.	.	PROPN
ejpam-1206	1	11	5	5	NUM
ejpam-1206	1	12	,	,	PUNCT
ejpam-1206	1	13	no	no	INTJ
ejpam-1206	1	14	.	.	NOUN
ejpam-1206	1	15	3	3	NUM
ejpam-1206	1	16	,	,	PUNCT
ejpam-1206	1	17	2012	2012	NUM
ejpam-1206	1	18	,	,	PUNCT
ejpam-1206	1	19	260	260	NUM
ejpam-1206	1	20	-	-	SYM
ejpam-1206	1	21	281	281	NUM
ejpam-1206	1	22	issn	issn	PROPN
ejpam-1206	1	23	1307	1307	NUM
ejpam-1206	1	24	-	-	SYM
ejpam-1206	1	25	5543	5543	NUM
ejpam-1206	1	26	–	–	PUNCT
ejpam-1206	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1206	1	28	on	on	ADP
ejpam-1206	1	29	the	the	DET
ejpam-1206	1	30	asymptotics	asymptotic	NOUN
ejpam-1206	1	31	and	and	CCONJ
ejpam-1206	1	32	zeros	zero	NOUN
ejpam-1206	1	33	of	of	ADP
ejpam-1206	1	34	a	a	DET
ejpam-1206	1	35	class	class	NOUN
ejpam-1206	1	36	of	of	ADP
ejpam-1206	1	37	fourier	fourier	NOUN
ejpam-1206	1	38	integrals	integrals	PROPN
ejpam-1206	1	39	richard	richard	PROPN
ejpam-1206	1	40	b.	b.	PROPN
ejpam-1206	1	41	paris	paris	PROPN
ejpam-1206	1	42	university	university	PROPN
ejpam-1206	1	43	of	of	ADP
ejpam-1206	1	44	abertay	abertay	PROPN
ejpam-1206	1	45	dundee	dundee	PROPN
ejpam-1206	1	46	,	,	PUNCT
ejpam-1206	1	47	dundee	dundee	PROPN
ejpam-1206	1	48	dd1	dd1	PROPN
ejpam-1206	1	49	1hg	1hg	PROPN
ejpam-1206	1	50	,	,	PUNCT
ejpam-1206	1	51	uk	uk	PROPN
ejpam-1206	1	52	abstract	abstract	NOUN
ejpam-1206	1	53	.	.	PUNCT
ejpam-1206	2	1	we	we	PRON
ejpam-1206	2	2	obtain	obtain	VERB
ejpam-1206	2	3	the	the	DET
ejpam-1206	2	4	asymptotic	asymptotic	ADJ
ejpam-1206	2	5	expansion	expansion	NOUN
ejpam-1206	2	6	of	of	ADP
ejpam-1206	2	7	the	the	DET
ejpam-1206	2	8	fourier	fourier	NOUN
ejpam-1206	2	9	integrals	integral	NOUN
ejpam-1206	2	10	∫	∫	PROPN
ejpam-1206	2	11	∞	∞	NUM
ejpam-1206	2	12	0	0	PUNCT
ejpam-1206	2	13	tν−1	tν−1	PROPN
ejpam-1206	2	14	cos	cos	PROPN
ejpam-1206	2	15	sin	sin	NOUN
ejpam-1206	2	16	(	(	PUNCT
ejpam-1206	2	17	x	x	NOUN
ejpam-1206	2	18	t	t	PROPN
ejpam-1206	2	19	)	)	PUNCT
ejpam-1206	2	20	exp	exp	NOUN
ejpam-1206	2	21	(	(	PUNCT
ejpam-1206	2	22	−tn	−tn	NOUN
ejpam-1206	2	23	/	/	SYM
ejpam-1206	2	24	n	n	CCONJ
ejpam-1206	2	25	)	)	PUNCT
ejpam-1206	2	26	d	d	PROPN
ejpam-1206	2	27	t	t	PROPN
ejpam-1206	2	28	for	for	ADP
ejpam-1206	2	29	large	large	ADJ
ejpam-1206	2	30	complex	complex	ADJ
ejpam-1206	2	31	values	value	NOUN
ejpam-1206	2	32	of	of	ADP
ejpam-1206	2	33	x	x	PUNCT
ejpam-1206	2	34	and	and	CCONJ
ejpam-1206	2	35	integer	integer	PROPN
ejpam-1206	2	36	n	n	CCONJ
ejpam-1206	2	37	>	>	X
ejpam-1206	2	38	2	2	NUM
ejpam-1206	2	39	by	by	ADP
ejpam-1206	2	40	means	mean	NOUN
ejpam-1206	2	41	of	of	ADP
ejpam-1206	2	42	the	the	DET
ejpam-1206	2	43	asymptotic	asymptotic	ADJ
ejpam-1206	2	44	theory	theory	NOUN
ejpam-1206	2	45	of	of	ADP
ejpam-1206	2	46	the	the	DET
ejpam-1206	2	47	wright	wright	PROPN
ejpam-1206	2	48	function	function	PROPN
ejpam-1206	2	49	.	.	PUNCT
ejpam-1206	3	1	asymptotic	asymptotic	ADJ
ejpam-1206	3	2	approximations	approximation	NOUN
ejpam-1206	3	3	for	for	ADP
ejpam-1206	3	4	both	both	CCONJ
ejpam-1206	3	5	the	the	DET
ejpam-1206	3	6	real	real	ADJ
ejpam-1206	3	7	and	and	CCONJ
ejpam-1206	3	8	complex	complex	ADJ
ejpam-1206	3	9	zeros	zero	NOUN
ejpam-1206	3	10	of	of	ADP
ejpam-1206	3	11	these	these	DET
ejpam-1206	3	12	integrals	integral	NOUN
ejpam-1206	3	13	are	be	AUX
ejpam-1206	3	14	considered	consider	VERB
ejpam-1206	3	15	.	.	PUNCT
ejpam-1206	4	1	these	these	DET
ejpam-1206	4	2	results	result	NOUN
ejpam-1206	4	3	are	be	AUX
ejpam-1206	4	4	extended	extend	VERB
ejpam-1206	4	5	to	to	ADP
ejpam-1206	4	6	p	p	ADJ
ejpam-1206	4	7	-	-	PUNCT
ejpam-1206	4	8	dimensional	dimensional	ADJ
ejpam-1206	4	9	fourier	fourier	NOUN
ejpam-1206	4	10	integrals	integral	NOUN
ejpam-1206	4	11	of	of	ADP
ejpam-1206	4	12	a	a	DET
ejpam-1206	4	13	similar	similar	ADJ
ejpam-1206	4	14	structure	structure	NOUN
ejpam-1206	4	15	.	.	PUNCT
ejpam-1206	5	1	2010	2010	NUM
ejpam-1206	5	2	mathematics	mathematic	NOUN
ejpam-1206	5	3	subject	subject	NOUN
ejpam-1206	5	4	classifications	classification	NOUN
ejpam-1206	5	5	:	:	PUNCT
ejpam-1206	5	6	30e15	30e15	NUM
ejpam-1206	5	7	,	,	PUNCT
ejpam-1206	5	8	33b10	33b10	NUM
ejpam-1206	5	9	,	,	PUNCT
ejpam-1206	5	10	33c70	33c70	NUM
ejpam-1206	5	11	,	,	PUNCT
ejpam-1206	5	12	34e05	34e05	NUM
ejpam-1206	5	13	,	,	PUNCT
ejpam-1206	5	14	41a60	41a60	NUM
ejpam-1206	5	15	key	key	ADJ
ejpam-1206	5	16	words	word	NOUN
ejpam-1206	5	17	and	and	CCONJ
ejpam-1206	5	18	phrases	phrase	NOUN
ejpam-1206	5	19	:	:	PUNCT
ejpam-1206	5	20	fourier	fourier	NOUN
ejpam-1206	5	21	integrals	integral	NOUN
ejpam-1206	5	22	,	,	PUNCT
ejpam-1206	5	23	asymptotic	asymptotic	ADJ
ejpam-1206	5	24	expansion	expansion	NOUN
ejpam-1206	5	25	,	,	PUNCT
ejpam-1206	5	26	zeros	zero	NOUN
ejpam-1206	5	27	,	,	PUNCT
ejpam-1206	5	28	wright	wright	PROPN
ejpam-1206	5	29	function	function	VERB
ejpam-1206	5	30	1	1	NUM
ejpam-1206	5	31	.	.	PUNCT
ejpam-1206	6	1	introduction	introduction	NOUN
ejpam-1206	6	2	the	the	DET
ejpam-1206	6	3	asymptotic	asymptotic	ADJ
ejpam-1206	6	4	expansion	expansion	NOUN
ejpam-1206	6	5	of	of	ADP
ejpam-1206	6	6	the	the	DET
ejpam-1206	6	7	fourier	fourier	NOUN
ejpam-1206	6	8	integrals	integral	NOUN
ejpam-1206	6	9	∫	∫	PROPN
ejpam-1206	6	10	∞	∞	NUM
ejpam-1206	6	11	0	0	PUNCT
ejpam-1206	7	1	cos	cos	PROPN
ejpam-1206	7	2	sin	sin	PROPN
ejpam-1206	7	3	(	(	PUNCT
ejpam-1206	7	4	x	x	NOUN
ejpam-1206	7	5	t	t	PROPN
ejpam-1206	7	6	)	)	PUNCT
ejpam-1206	7	7	exp	exp	NOUN
ejpam-1206	7	8	(	(	PUNCT
ejpam-1206	7	9	−tn	−tn	NOUN
ejpam-1206	7	10	/	/	SYM
ejpam-1206	7	11	n	n	CCONJ
ejpam-1206	7	12	)	)	PUNCT
ejpam-1206	7	13	d	d	PROPN
ejpam-1206	7	14	t	t	PROPN
ejpam-1206	7	15	(	(	PUNCT
ejpam-1206	7	16	1	1	NUM
ejpam-1206	7	17	)	)	PUNCT
ejpam-1206	7	18	for	for	ADP
ejpam-1206	7	19	large	large	ADJ
ejpam-1206	7	20	complex	complex	ADJ
ejpam-1206	7	21	values	value	NOUN
ejpam-1206	7	22	of	of	ADP
ejpam-1206	7	23	x	x	PUNCT
ejpam-1206	7	24	and	and	CCONJ
ejpam-1206	7	25	integer	integer	PROPN
ejpam-1206	7	26	n	n	PRON
ejpam-1206	7	27	≥	≥	NUM
ejpam-1206	7	28	2	2	NUM
ejpam-1206	7	29	has	have	AUX
ejpam-1206	7	30	been	be	AUX
ejpam-1206	7	31	considered	consider	VERB
ejpam-1206	7	32	in	in	ADP
ejpam-1206	7	33	[	[	X
ejpam-1206	7	34	1	1	NUM
ejpam-1206	7	35	,	,	PUNCT
ejpam-1206	7	36	3	3	NUM
ejpam-1206	7	37	,	,	PUNCT
ejpam-1206	7	38	5	5	NUM
ejpam-1206	7	39	]	]	PUNCT
ejpam-1206	7	40	and	and	CCONJ
ejpam-1206	7	41	,	,	PUNCT
ejpam-1206	7	42	in	in	ADP
ejpam-1206	7	43	the	the	DET
ejpam-1206	7	44	case	case	NOUN
ejpam-1206	7	45	of	of	ADP
ejpam-1206	7	46	the	the	DET
ejpam-1206	7	47	cosine	cosine	NOUN
ejpam-1206	7	48	integral	integral	ADJ
ejpam-1206	7	49	,	,	PUNCT
ejpam-1206	7	50	more	more	ADV
ejpam-1206	7	51	recently	recently	ADV
ejpam-1206	7	52	in	in	ADP
ejpam-1206	7	53	[	[	X
ejpam-1206	7	54	15	15	NUM
ejpam-1206	7	55	]	]	PUNCT
ejpam-1206	7	56	.	.	PUNCT
ejpam-1206	8	1	all	all	DET
ejpam-1206	8	2	these	these	DET
ejpam-1206	8	3	authors	author	NOUN
ejpam-1206	8	4	employed	employ	VERB
ejpam-1206	8	5	the	the	DET
ejpam-1206	8	6	method	method	NOUN
ejpam-1206	8	7	of	of	ADP
ejpam-1206	8	8	steepest	steep	ADJ
ejpam-1206	8	9	descents	descent	NOUN
ejpam-1206	8	10	to	to	PART
ejpam-1206	8	11	derive	derive	VERB
ejpam-1206	8	12	the	the	DET
ejpam-1206	8	13	asymptotics	asymptotic	NOUN
ejpam-1206	8	14	which	which	PRON
ejpam-1206	8	15	resulted	result	VERB
ejpam-1206	8	16	in	in	ADP
ejpam-1206	8	17	long	long	ADJ
ejpam-1206	8	18	and	and	CCONJ
ejpam-1206	8	19	detailed	detailed	ADJ
ejpam-1206	8	20	calculations	calculation	NOUN
ejpam-1206	8	21	.	.	PUNCT
ejpam-1206	9	1	considerable	considerable	ADJ
ejpam-1206	9	2	interest	interest	NOUN
ejpam-1206	9	3	in	in	ADP
ejpam-1206	9	4	the	the	DET
ejpam-1206	9	5	real	real	ADJ
ejpam-1206	9	6	zeros	zero	NOUN
ejpam-1206	9	7	of	of	ADP
ejpam-1206	9	8	fourier	fourier	NOUN
ejpam-1206	9	9	integrals	integral	NOUN
ejpam-1206	9	10	originated	originate	VERB
ejpam-1206	9	11	with	with	ADP
ejpam-1206	9	12	the	the	DET
ejpam-1206	9	13	seminal	seminal	ADJ
ejpam-1206	9	14	study	study	NOUN
ejpam-1206	9	15	of	of	ADP
ejpam-1206	9	16	pólya	pólya	NOUN
ejpam-1206	9	17	[	[	X
ejpam-1206	9	18	14	14	NUM
ejpam-1206	9	19	]	]	X
ejpam-1206	9	20	,	,	PUNCT
ejpam-1206	9	21	who	who	PRON
ejpam-1206	9	22	showed	show	VERB
ejpam-1206	9	23	that	that	SCONJ
ejpam-1206	9	24	the	the	DET
ejpam-1206	9	25	cosine	cosine	NOUN
ejpam-1206	9	26	integral	integral	NOUN
ejpam-1206	9	27	in	in	ADP
ejpam-1206	9	28	(	(	PUNCT
ejpam-1206	9	29	1	1	NUM
ejpam-1206	9	30	)	)	PUNCT
ejpam-1206	9	31	when	when	SCONJ
ejpam-1206	9	32	n	n	X
ejpam-1206	9	33	=	=	SYM
ejpam-1206	9	34	4,6	4,6	NUM
ejpam-1206	9	35	,	,	PUNCT
ejpam-1206	9	36	.	.	PUNCT
ejpam-1206	9	37	.	.	PUNCT
ejpam-1206	10	1	.	.	PUNCT
ejpam-1206	11	1	has	have	AUX
ejpam-1206	11	2	infinitely	infinitely	ADV
ejpam-1206	11	3	many	many	ADJ
ejpam-1206	11	4	real	real	ADJ
ejpam-1206	11	5	zeros	zero	NOUN
ejpam-1206	11	6	;	;	PUNCT
ejpam-1206	11	7	generalisations	generalisation	NOUN
ejpam-1206	11	8	of	of	ADP
ejpam-1206	11	9	these	these	DET
ejpam-1206	11	10	results	result	NOUN
ejpam-1206	11	11	have	have	AUX
ejpam-1206	11	12	been	be	AUX
ejpam-1206	11	13	obtained	obtain	VERB
ejpam-1206	11	14	in	in	ADP
ejpam-1206	11	15	[	[	X
ejpam-1206	11	16	4	4	NUM
ejpam-1206	11	17	]	]	PUNCT
ejpam-1206	11	18	and	and	CCONJ
ejpam-1206	11	19	more	more	ADV
ejpam-1206	11	20	recently	recently	ADV
ejpam-1206	11	21	in	in	ADP
ejpam-1206	11	22	[	[	X
ejpam-1206	11	23	6	6	NUM
ejpam-1206	11	24	,	,	PUNCT
ejpam-1206	11	25	7	7	NUM
ejpam-1206	11	26	,	,	PUNCT
ejpam-1206	11	27	8	8	NUM
ejpam-1206	11	28	]	]	PUNCT
ejpam-1206	11	29	.	.	PUNCT
ejpam-1206	12	1	the	the	DET
ejpam-1206	12	2	first	first	ADJ
ejpam-1206	12	3	-	-	PUNCT
ejpam-1206	12	4	order	order	NOUN
ejpam-1206	12	5	asymptotics	asymptotic	NOUN
ejpam-1206	12	6	for	for	ADP
ejpam-1206	12	7	the	the	DET
ejpam-1206	12	8	location	location	NOUN
ejpam-1206	12	9	of	of	ADP
ejpam-1206	12	10	the	the	DET
ejpam-1206	12	11	zeros	zero	NOUN
ejpam-1206	12	12	of	of	ADP
ejpam-1206	12	13	the	the	DET
ejpam-1206	12	14	cosine	cosine	NOUN
ejpam-1206	12	15	integral	integral	NOUN
ejpam-1206	12	16	in	in	ADP
ejpam-1206	12	17	(	(	PUNCT
ejpam-1206	12	18	1	1	NUM
ejpam-1206	12	19	)	)	PUNCT
ejpam-1206	12	20	were	be	AUX
ejpam-1206	12	21	obtained	obtain	VERB
ejpam-1206	12	22	in	in	ADP
ejpam-1206	12	23	[	[	X
ejpam-1206	12	24	5	5	NUM
ejpam-1206	12	25	]	]	PUNCT
ejpam-1206	12	26	,	,	PUNCT
ejpam-1206	12	27	with	with	ADP
ejpam-1206	12	28	higher	high	ADJ
ejpam-1206	12	29	-	-	PUNCT
ejpam-1206	12	30	order	order	NOUN
ejpam-1206	12	31	approximations	approximation	NOUN
ejpam-1206	12	32	for	for	SCONJ
ejpam-1206	12	33	these	these	DET
ejpam-1206	12	34	zeros	zero	NOUN
ejpam-1206	12	35	being	be	AUX
ejpam-1206	12	36	given	give	VERB
ejpam-1206	12	37	in	in	ADP
ejpam-1206	12	38	[	[	X
ejpam-1206	12	39	15	15	NUM
ejpam-1206	12	40	]	]	PUNCT
ejpam-1206	12	41	.	.	PUNCT
ejpam-1206	13	1	our	our	PRON
ejpam-1206	13	2	aim	aim	NOUN
ejpam-1206	13	3	in	in	ADP
ejpam-1206	13	4	this	this	DET
ejpam-1206	13	5	paper	paper	NOUN
ejpam-1206	13	6	is	be	AUX
ejpam-1206	13	7	to	to	PART
ejpam-1206	13	8	show	show	VERB
ejpam-1206	13	9	that	that	SCONJ
ejpam-1206	13	10	the	the	DET
ejpam-1206	13	11	large	large	ADJ
ejpam-1206	13	12	-	-	PUNCT
ejpam-1206	13	13	x	x	NOUN
ejpam-1206	13	14	asymptotics	asymptotic	NOUN
ejpam-1206	13	15	of	of	ADP
ejpam-1206	13	16	the	the	DET
ejpam-1206	13	17	above	above	ADJ
ejpam-1206	13	18	integrals	integral	NOUN
ejpam-1206	13	19	can	can	AUX
ejpam-1206	13	20	be	be	AUX
ejpam-1206	13	21	more	more	ADV
ejpam-1206	13	22	readily	readily	ADV
ejpam-1206	13	23	obtained	obtain	VERB
ejpam-1206	13	24	by	by	ADP
ejpam-1206	13	25	making	make	VERB
ejpam-1206	13	26	use	use	NOUN
ejpam-1206	13	27	of	of	ADP
ejpam-1206	13	28	the	the	DET
ejpam-1206	13	29	well	well	ADV
ejpam-1206	13	30	-	-	PUNCT
ejpam-1206	13	31	established	establish	VERB
ejpam-1206	13	32	asymptotic	asymptotic	ADJ
ejpam-1206	13	33	theory	theory	NOUN
ejpam-1206	13	34	of	of	ADP
ejpam-1206	13	35	the	the	DET
ejpam-1206	13	36	wright	wright	PROPN
ejpam-1206	13	37	email	email	NOUN
ejpam-1206	13	38	address	address	NOUN
ejpam-1206	13	39	:	:	PUNCT
ejpam-1206	13	40	r.paris	r.paris	VERB
ejpam-1206	13	41	�	�	PROPN
ejpam-1206	13	42	abertay.a	abertay.a	PRON
ejpam-1206	13	43	.uk	.uk	PUNCT
ejpam-1206	14	1	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1206	15	1	260	260	NUM
ejpam-1206	16	1	c	c	X
ejpam-1206	16	2	©	©	PROPN
ejpam-1206	16	3	2012	2012	NUM
ejpam-1206	16	4	ejpam	ejpam	VERB
ejpam-1206	16	5	all	all	DET
ejpam-1206	16	6	rights	right	NOUN
ejpam-1206	16	7	reserved	reserve	VERB
ejpam-1206	16	8	.	.	PUNCT
ejpam-1206	17	1	r.	r.	PROPN
ejpam-1206	17	2	paris	paris	PROPN
ejpam-1206	17	3	/	/	SYM
ejpam-1206	17	4	eur	eur	PROPN
ejpam-1206	17	5	.	.	PUNCT
ejpam-1206	18	1	j.	j.	PROPN
ejpam-1206	18	2	pure	pure	PROPN
ejpam-1206	18	3	appl	appl	PROPN
ejpam-1206	18	4	.	.	PROPN
ejpam-1206	18	5	math	math	PROPN
ejpam-1206	18	6	,	,	PUNCT
ejpam-1206	18	7	5	5	NUM
ejpam-1206	18	8	(	(	PUNCT
ejpam-1206	18	9	2012	2012	NUM
ejpam-1206	18	10	)	)	PUNCT
ejpam-1206	18	11	,	,	PUNCT
ejpam-1206	18	12	260	260	NUM
ejpam-1206	18	13	-	-	SYM
ejpam-1206	18	14	281	281	NUM
ejpam-1206	18	15	261	261	NUM
ejpam-1206	18	16	function	function	NOUN
ejpam-1206	18	17	defined	define	VERB
ejpam-1206	18	18	below	below	ADV
ejpam-1206	18	19	.	.	PUNCT
ejpam-1206	19	1	we	we	PRON
ejpam-1206	19	2	make	make	VERB
ejpam-1206	19	3	a	a	DET
ejpam-1206	19	4	generalisation	generalisation	NOUN
ejpam-1206	19	5	in	in	ADP
ejpam-1206	19	6	(	(	PUNCT
ejpam-1206	19	7	1	1	NUM
ejpam-1206	19	8	)	)	PUNCT
ejpam-1206	19	9	to	to	PART
ejpam-1206	19	10	include	include	VERB
ejpam-1206	19	11	an	an	DET
ejpam-1206	19	12	algebraic	algebraic	ADJ
ejpam-1206	19	13	power	power	NOUN
ejpam-1206	19	14	of	of	ADP
ejpam-1206	19	15	t	t	PROPN
ejpam-1206	19	16	in	in	ADP
ejpam-1206	19	17	the	the	DET
ejpam-1206	19	18	integrand	integrand	NOUN
ejpam-1206	19	19	and	and	CCONJ
ejpam-1206	19	20	consider	consider	VERB
ejpam-1206	19	21	the	the	DET
ejpam-1206	19	22	integrals	integral	NOUN
ejpam-1206	19	23	cn,1	cn,1	PROPN
ejpam-1206	19	24	sn,1	sn,1	PROPN
ejpam-1206	19	25	(	(	PUNCT
ejpam-1206	19	26	x	x	NOUN
ejpam-1206	19	27	;	;	PUNCT
ejpam-1206	19	28	ν	ν	X
ejpam-1206	19	29	)	)	PUNCT
ejpam-1206	19	30	=	=	SYM
ejpam-1206	20	1	∫	∫	PROPN
ejpam-1206	21	1	∞	∞	PROPN
ejpam-1206	21	2	0	0	NUM
ejpam-1206	21	3	tν−1	tν−1	PROPN
ejpam-1206	21	4	cos	cos	PROPN
ejpam-1206	21	5	sin	sin	NOUN
ejpam-1206	21	6	(	(	PUNCT
ejpam-1206	21	7	x	x	NOUN
ejpam-1206	21	8	t	t	PROPN
ejpam-1206	21	9	)	)	PUNCT
ejpam-1206	21	10	exp	exp	NOUN
ejpam-1206	21	11	(	(	PUNCT
ejpam-1206	21	12	−tn	−tn	NOUN
ejpam-1206	21	13	/	/	SYM
ejpam-1206	21	14	n	n	CCONJ
ejpam-1206	21	15	)	)	PUNCT
ejpam-1206	21	16	d	d	PROPN
ejpam-1206	21	17	t	t	PROPN
ejpam-1206	21	18	,	,	PUNCT
ejpam-1206	21	19	re	re	X
ejpam-1206	21	20	(	(	PUNCT
ejpam-1206	21	21	ν	ν	NOUN
ejpam-1206	21	22	)	)	PUNCT
ejpam-1206	21	23	>	>	X
ejpam-1206	21	24	¨	¨	NOUN
ejpam-1206	21	25	0	0	NUM
ejpam-1206	21	26	−1	−1	NOUN
ejpam-1206	21	27	,	,	PUNCT
ejpam-1206	21	28	(	(	PUNCT
ejpam-1206	21	29	2	2	X
ejpam-1206	21	30	)	)	PUNCT
ejpam-1206	21	31	where	where	SCONJ
ejpam-1206	21	32	the	the	DET
ejpam-1206	21	33	subscript	subscript	NOUN
ejpam-1206	21	34	1	1	NUM
ejpam-1206	21	35	denotes	denote	VERB
ejpam-1206	21	36	the	the	DET
ejpam-1206	21	37	dimension	dimension	NOUN
ejpam-1206	21	38	of	of	ADP
ejpam-1206	21	39	the	the	DET
ejpam-1206	21	40	integral	integral	NOUN
ejpam-1206	21	41	.	.	PUNCT
ejpam-1206	22	1	we	we	PRON
ejpam-1206	22	2	then	then	ADV
ejpam-1206	22	3	use	use	VERB
ejpam-1206	22	4	the	the	DET
ejpam-1206	22	5	asymptotics	asymptotic	NOUN
ejpam-1206	22	6	of	of	ADP
ejpam-1206	22	7	the	the	DET
ejpam-1206	22	8	integrals	integral	NOUN
ejpam-1206	22	9	in	in	ADP
ejpam-1206	22	10	(	(	PUNCT
ejpam-1206	22	11	2	2	NUM
ejpam-1206	22	12	)	)	PUNCT
ejpam-1206	22	13	to	to	PART
ejpam-1206	22	14	examine	examine	VERB
ejpam-1206	22	15	their	their	PRON
ejpam-1206	22	16	real	real	ADJ
ejpam-1206	22	17	and	and	CCONJ
ejpam-1206	22	18	complex	complex	ADJ
ejpam-1206	22	19	zeros	zero	NOUN
ejpam-1206	22	20	.	.	PUNCT
ejpam-1206	23	1	an	an	DET
ejpam-1206	23	2	advantage	advantage	NOUN
ejpam-1206	23	3	of	of	ADP
ejpam-1206	23	4	this	this	DET
ejpam-1206	23	5	approach	approach	NOUN
ejpam-1206	23	6	is	be	AUX
ejpam-1206	23	7	that	that	SCONJ
ejpam-1206	23	8	the	the	DET
ejpam-1206	23	9	same	same	ADJ
ejpam-1206	23	10	procedure	procedure	NOUN
ejpam-1206	23	11	can	can	AUX
ejpam-1206	23	12	be	be	AUX
ejpam-1206	23	13	applied	apply	VERB
ejpam-1206	23	14	with	with	ADP
ejpam-1206	23	15	little	little	ADJ
ejpam-1206	23	16	additional	additional	ADJ
ejpam-1206	23	17	effort	effort	NOUN
ejpam-1206	23	18	to	to	ADP
ejpam-1206	23	19	the	the	DET
ejpam-1206	23	20	p	p	ADJ
ejpam-1206	23	21	-	-	PUNCT
ejpam-1206	23	22	dimensional	dimensional	ADJ
ejpam-1206	23	23	integrals	integral	NOUN
ejpam-1206	23	24	possessing	possess	VERB
ejpam-1206	23	25	a	a	DET
ejpam-1206	23	26	similar	similar	ADJ
ejpam-1206	23	27	structure	structure	NOUN
ejpam-1206	23	28	given	give	VERB
ejpam-1206	23	29	by	by	ADP
ejpam-1206	23	30	cn	cn	PROPN
ejpam-1206	23	31	,	,	PUNCT
ejpam-1206	23	32	p	p	PROPN
ejpam-1206	23	33	sn	sn	PROPN
ejpam-1206	23	34	,	,	PUNCT
ejpam-1206	23	35	p	p	X
ejpam-1206	23	36	(	(	PUNCT
ejpam-1206	23	37	x	x	X
ejpam-1206	23	38	;	;	PUNCT
ejpam-1206	23	39	~ν	~ν	NUM
ejpam-1206	23	40	)	)	PUNCT
ejpam-1206	24	1	=	=	SYM
ejpam-1206	25	1	∫	∫	PROPN
ejpam-1206	26	1	∞	∞	NUM
ejpam-1206	26	2	0	0	NUM
ejpam-1206	26	3	.	.	PUNCT
ejpam-1206	26	4	.	.	PUNCT
ejpam-1206	26	5	.	.	PUNCT
ejpam-1206	27	1	∫	∫	PROPN
ejpam-1206	28	1	∞	∞	PROPN
ejpam-1206	28	2	0	0	NUM
ejpam-1206	28	3	t	t	NOUN
ejpam-1206	28	4	ν1−1	ν1−1	ADV
ejpam-1206	28	5	1	1	NUM
ejpam-1206	28	6	.	.	PUNCT
ejpam-1206	28	7	.	.	PUNCT
ejpam-1206	28	8	.	.	PUNCT
ejpam-1206	29	1	t	t	PROPN
ejpam-1206	29	2	νp−1	νp−1	PROPN
ejpam-1206	29	3	p	p	PROPN
ejpam-1206	29	4	cos	cos	PROPN
ejpam-1206	29	5	sin	sin	NOUN
ejpam-1206	29	6	(	(	PUNCT
ejpam-1206	29	7	x	x	X
ejpam-1206	29	8	t1	t1	NOUN
ejpam-1206	29	9	.	.	PUNCT
ejpam-1206	29	10	.	.	PUNCT
ejpam-1206	29	11	.	.	PUNCT
ejpam-1206	30	1	tp	tp	X
ejpam-1206	30	2	)	)	PUNCT
ejpam-1206	30	3	exp	exp	NOUN
ejpam-1206	31	1	[	[	X
ejpam-1206	31	2	−(tn	−(tn	PROPN
ejpam-1206	31	3	1	1	NUM
ejpam-1206	31	4	+	+	CCONJ
ejpam-1206	31	5	·	·	PUNCT
ejpam-1206	31	6	·	·	PUNCT
ejpam-1206	31	7	·	·	PUNCT
ejpam-1206	31	8	+	+	NUM
ejpam-1206	31	9	tn	tn	NUM
ejpam-1206	31	10	p)/n	p)/n	PROPN
ejpam-1206	31	11	]	]	PUNCT
ejpam-1206	32	1	d	d	X
ejpam-1206	32	2	t1	t1	NOUN
ejpam-1206	32	3	.	.	PUNCT
ejpam-1206	32	4	.	.	PUNCT
ejpam-1206	32	5	.	.	PUNCT
ejpam-1206	33	1	d	d	NOUN
ejpam-1206	33	2	tp	tp	NOUN
ejpam-1206	33	3	,	,	PUNCT
ejpam-1206	33	4	(	(	PUNCT
ejpam-1206	33	5	3	3	X
ejpam-1206	33	6	)	)	PUNCT
ejpam-1206	33	7	where	where	SCONJ
ejpam-1206	33	8	~ν	~ν	PUNCT
ejpam-1206	33	9	=	=	SYM
ejpam-1206	33	10	(	(	PUNCT
ejpam-1206	33	11	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	33	12	,	,	PUNCT
ejpam-1206	33	13	.	.	PUNCT
ejpam-1206	33	14	.	.	PUNCT
ejpam-1206	33	15	.	.	PUNCT
ejpam-1206	34	1	,	,	PUNCT
ejpam-1206	34	2	νp	νp	NOUN
ejpam-1206	34	3	)	)	PUNCT
ejpam-1206	34	4	,	,	PUNCT
ejpam-1206	34	5	n≥	n≥	PROPN
ejpam-1206	34	6	2	2	NUM
ejpam-1206	34	7	is	be	AUX
ejpam-1206	34	8	an	an	DET
ejpam-1206	34	9	integer	integer	NOUN
ejpam-1206	34	10	and	and	CCONJ
ejpam-1206	34	11	it	it	PRON
ejpam-1206	34	12	is	be	AUX
ejpam-1206	34	13	supposed	suppose	VERB
ejpam-1206	34	14	for	for	ADP
ejpam-1206	34	15	cn	cn	PROPN
ejpam-1206	34	16	,	,	PUNCT
ejpam-1206	34	17	p(x	p(x	PROPN
ejpam-1206	34	18	;	;	PUNCT
ejpam-1206	34	19	~ν	~ν	NUM
ejpam-1206	34	20	)	)	PUNCT
ejpam-1206	34	21	that	that	PRON
ejpam-1206	34	22	re(νr	re(νr	VERB
ejpam-1206	34	23	)	)	PUNCT
ejpam-1206	34	24	>	>	X
ejpam-1206	34	25	0	0	PUNCT
ejpam-1206	35	1	and	and	CCONJ
ejpam-1206	35	2	for	for	ADP
ejpam-1206	35	3	sn	sn	PROPN
ejpam-1206	35	4	,	,	PUNCT
ejpam-1206	35	5	p(x	p(x	PROPN
ejpam-1206	35	6	;	;	PUNCT
ejpam-1206	35	7	~ν	~ν	NUM
ejpam-1206	35	8	)	)	PUNCT
ejpam-1206	35	9	that	that	PRON
ejpam-1206	35	10	re(νr	re(νr	VERB
ejpam-1206	35	11	)	)	PUNCT
ejpam-1206	35	12	>	>	X
ejpam-1206	36	1	−1	−1	NOUN
ejpam-1206	36	2	(	(	PUNCT
ejpam-1206	36	3	1≤	1≤	NUM
ejpam-1206	36	4	r	r	NOUN
ejpam-1206	36	5	≤	≤	NOUN
ejpam-1206	36	6	p	p	X
ejpam-1206	36	7	)	)	PUNCT
ejpam-1206	36	8	.	.	PUNCT
ejpam-1206	37	1	an	an	DET
ejpam-1206	37	2	integral	integral	NOUN
ejpam-1206	37	3	of	of	ADP
ejpam-1206	37	4	this	this	DET
ejpam-1206	37	5	type	type	NOUN
ejpam-1206	37	6	with	with	ADP
ejpam-1206	37	7	p	p	NOUN
ejpam-1206	37	8	=	=	SYM
ejpam-1206	37	9	2	2	NUM
ejpam-1206	37	10	was	be	AUX
ejpam-1206	37	11	given	give	VERB
ejpam-1206	37	12	as	as	ADP
ejpam-1206	37	13	the	the	DET
ejpam-1206	37	14	solution	solution	NOUN
ejpam-1206	37	15	of	of	ADP
ejpam-1206	37	16	a	a	DET
ejpam-1206	37	17	certain	certain	ADJ
ejpam-1206	37	18	nth	nth	NOUN
ejpam-1206	37	19	-	-	PUNCT
ejpam-1206	37	20	order	order	NOUN
ejpam-1206	37	21	differential	differential	ADJ
ejpam-1206	37	22	equation	equation	NOUN
ejpam-1206	37	23	by	by	ADP
ejpam-1206	37	24	spitzer	spitzer	PROPN
ejpam-1206	37	25	[	[	X
ejpam-1206	37	26	17	17	NUM
ejpam-1206	37	27	]	]	X
ejpam-1206	37	28	well	well	ADV
ejpam-1206	37	29	over	over	ADP
ejpam-1206	37	30	a	a	DET
ejpam-1206	37	31	century	century	NOUN
ejpam-1206	37	32	ago	ago	ADV
ejpam-1206	37	33	.	.	PUNCT
ejpam-1206	38	1	the	the	DET
ejpam-1206	38	2	wright	wright	PROPN
ejpam-1206	38	3	function	function	PROPN
ejpam-1206	38	4	pψq(z	pψq(z	PROPN
ejpam-1206	38	5	)	)	PUNCT
ejpam-1206	38	6	(	(	PUNCT
ejpam-1206	38	7	a	a	DET
ejpam-1206	38	8	generalised	generalise	VERB
ejpam-1206	38	9	hypergeometric	hypergeometric	ADJ
ejpam-1206	38	10	function	function	NOUN
ejpam-1206	38	11	)	)	PUNCT
ejpam-1206	38	12	is	be	AUX
ejpam-1206	38	13	defined	define	VERB
ejpam-1206	38	14	by	by	ADP
ejpam-1206	38	15	pψq(z	pψq(z	PROPN
ejpam-1206	38	16	)	)	PUNCT
ejpam-1206	39	1	=	=	SYM
ejpam-1206	39	2	∞	∞	NUM
ejpam-1206	39	3	∑	∑	PUNCT
ejpam-1206	39	4	k=0	k=0	PROPN
ejpam-1206	39	5	∏p	∏p	PRON
ejpam-1206	39	6	r=1	r=1	VERB
ejpam-1206	39	7	γ(αr	γ(αr	PROPN
ejpam-1206	39	8	k+	k+	X
ejpam-1206	39	9	ar	ar	PROPN
ejpam-1206	39	10	)	)	PUNCT
ejpam-1206	39	11	∏q	∏q	PART
ejpam-1206	40	1	r=1	r=1	NOUN
ejpam-1206	40	2	γ(βr	γ(βr	X
ejpam-1206	40	3	k+	k+	NOUN
ejpam-1206	40	4	br	br	NOUN
ejpam-1206	40	5	)	)	PUNCT
ejpam-1206	40	6	zk	zk	PROPN
ejpam-1206	41	1	k	k	PROPN
ejpam-1206	41	2	!	!	PROPN
ejpam-1206	41	3	,	,	PUNCT
ejpam-1206	41	4	αr	αr	PROPN
ejpam-1206	41	5	k+	k+	PROPN
ejpam-1206	41	6	ar	ar	PROPN
ejpam-1206	41	7	6=	6=	PROPN
ejpam-1206	41	8	0,−1,−2	0,−1,−2	NUM
ejpam-1206	41	9	,	,	PUNCT
ejpam-1206	41	10	.	.	PUNCT
ejpam-1206	41	11	.	.	PUNCT
ejpam-1206	41	12	.	.	PUNCT
ejpam-1206	42	1	(	(	PUNCT
ejpam-1206	42	2	4	4	X
ejpam-1206	42	3	)	)	PUNCT
ejpam-1206	42	4	where	where	SCONJ
ejpam-1206	42	5	p	p	NOUN
ejpam-1206	42	6	and	and	CCONJ
ejpam-1206	42	7	q	q	NOUN
ejpam-1206	42	8	are	be	AUX
ejpam-1206	42	9	nonnegative	nonnegative	ADJ
ejpam-1206	42	10	integers	integer	NOUN
ejpam-1206	42	11	,	,	PUNCT
ejpam-1206	42	12	the	the	DET
ejpam-1206	42	13	parameters	parameter	NOUN
ejpam-1206	42	14	αr	αr	VERB
ejpam-1206	42	15	and	and	CCONJ
ejpam-1206	42	16	βr	βr	PRON
ejpam-1206	42	17	are	be	AUX
ejpam-1206	42	18	real	real	ADJ
ejpam-1206	42	19	and	and	CCONJ
ejpam-1206	42	20	positive	positive	ADJ
ejpam-1206	42	21	and	and	CCONJ
ejpam-1206	42	22	ar	ar	NOUN
ejpam-1206	42	23	and	and	CCONJ
ejpam-1206	42	24	br	br	PROPN
ejpam-1206	42	25	are	be	AUX
ejpam-1206	42	26	arbitrary	arbitrary	ADJ
ejpam-1206	42	27	complex	complex	ADJ
ejpam-1206	42	28	numbers	number	NOUN
ejpam-1206	42	29	.	.	PUNCT
ejpam-1206	43	1	in	in	ADP
ejpam-1206	43	2	the	the	DET
ejpam-1206	43	3	special	special	ADJ
ejpam-1206	43	4	case	case	NOUN
ejpam-1206	43	5	αr	αr	ADP
ejpam-1206	43	6	=	=	SYM
ejpam-1206	43	7	βr	βr	NOUN
ejpam-1206	43	8	=	=	NUM
ejpam-1206	43	9	1	1	NUM
ejpam-1206	43	10	,	,	PUNCT
ejpam-1206	43	11	the	the	DET
ejpam-1206	43	12	function	function	NOUN
ejpam-1206	43	13	pψq(z	pψq(z	NOUN
ejpam-1206	43	14	)	)	PUNCT
ejpam-1206	43	15	reduces	reduce	VERB
ejpam-1206	43	16	to	to	ADP
ejpam-1206	43	17	a	a	DET
ejpam-1206	43	18	multiple	multiple	NOUN
ejpam-1206	43	19	of	of	ADP
ejpam-1206	43	20	the	the	DET
ejpam-1206	43	21	ordinary	ordinary	ADJ
ejpam-1206	43	22	hypergeometric	hypergeometric	ADJ
ejpam-1206	43	23	function	function	NOUN
ejpam-1206	43	24	pfq((a)p	pfq((a)p	ADV
ejpam-1206	43	25	;	;	PUNCT
ejpam-1206	43	26	(	(	PUNCT
ejpam-1206	43	27	b)q	b)q	X
ejpam-1206	43	28	;	;	PUNCT
ejpam-1206	43	29	z	z	X
ejpam-1206	43	30	)	)	PUNCT
ejpam-1206	44	1	[	[	X
ejpam-1206	44	2	16	16	NUM
ejpam-1206	44	3	,	,	PUNCT
ejpam-1206	44	4	p.	p.	NOUN
ejpam-1206	44	5	40	40	NUM
ejpam-1206	44	6	]	]	PUNCT
ejpam-1206	44	7	.	.	PUNCT
ejpam-1206	45	1	the	the	DET
ejpam-1206	45	2	particular	particular	ADJ
ejpam-1206	45	3	function	function	NOUN
ejpam-1206	45	4	of	of	ADP
ejpam-1206	45	5	this	this	DET
ejpam-1206	45	6	class	class	NOUN
ejpam-1206	45	7	that	that	PRON
ejpam-1206	45	8	we	we	PRON
ejpam-1206	45	9	shall	shall	AUX
ejpam-1206	45	10	use	use	VERB
ejpam-1206	45	11	has	have	VERB
ejpam-1206	45	12	q	q	NOUN
ejpam-1206	45	13	=	=	SYM
ejpam-1206	45	14	0	0	NUM
ejpam-1206	45	15	and	and	CCONJ
ejpam-1206	45	16	the	the	DET
ejpam-1206	45	17	parameters	parameter	NOUN
ejpam-1206	45	18	αr	αr	ADP
ejpam-1206	45	19	=	=	SYM
ejpam-1206	45	20	1	1	NUM
ejpam-1206	45	21	/	/	SYM
ejpam-1206	45	22	n	n	CCONJ
ejpam-1206	45	23	,	,	PUNCT
ejpam-1206	45	24	ar	ar	NOUN
ejpam-1206	45	25	=	=	ADJ
ejpam-1206	45	26	νr	νr	PROPN
ejpam-1206	45	27	/	/	SYM
ejpam-1206	45	28	n.	n.	NOUN
ejpam-1206	45	29	following	follow	VERB
ejpam-1206	45	30	the	the	DET
ejpam-1206	45	31	notation	notation	NOUN
ejpam-1206	45	32	used	use	VERB
ejpam-1206	45	33	in	in	ADP
ejpam-1206	45	34	[	[	X
ejpam-1206	45	35	12	12	NUM
ejpam-1206	45	36	,	,	PUNCT
ejpam-1206	45	37	chapter	chapter	NOUN
ejpam-1206	45	38	3	3	NUM
ejpam-1206	45	39	]	]	PUNCT
ejpam-1206	45	40	for	for	ADP
ejpam-1206	45	41	the	the	DET
ejpam-1206	45	42	solution	solution	NOUN
ejpam-1206	45	43	of	of	ADP
ejpam-1206	45	44	a	a	DET
ejpam-1206	45	45	certain	certain	ADJ
ejpam-1206	45	46	nth	nth	NOUN
ejpam-1206	45	47	-	-	PUNCT
ejpam-1206	45	48	order	order	NOUN
ejpam-1206	45	49	differential	differential	NOUN
ejpam-1206	45	50	equation	equation	NOUN
ejpam-1206	45	51	,	,	PUNCT
ejpam-1206	45	52	we	we	PRON
ejpam-1206	45	53	denote	denote	VERB
ejpam-1206	45	54	this	this	DET
ejpam-1206	45	55	function	function	NOUN
ejpam-1206	45	56	by	by	ADP
ejpam-1206	45	57	un	un	PROPN
ejpam-1206	45	58	,	,	PUNCT
ejpam-1206	45	59	p(z	p(z	ADV
ejpam-1206	45	60	;	;	PUNCT
ejpam-1206	45	61	~ν	~ν	NUM
ejpam-1206	45	62	)	)	PUNCT
ejpam-1206	45	63	,	,	PUNCT
ejpam-1206	45	64	where	where	SCONJ
ejpam-1206	45	65	un	un	PROPN
ejpam-1206	45	66	,	,	PUNCT
ejpam-1206	45	67	p(z	p(z	NOUN
ejpam-1206	45	68	;	;	PUNCT
ejpam-1206	45	69	~ν	~ν	NUM
ejpam-1206	45	70	)	)	PUNCT
ejpam-1206	46	1	=	=	SYM
ejpam-1206	46	2	∞	∞	NUM
ejpam-1206	46	3	∑	∑	PUNCT
ejpam-1206	46	4	k=0	k=0	X
ejpam-1206	46	5	(	(	PUNCT
ejpam-1206	46	6	np	np	INTJ
ejpam-1206	46	7	/	/	SYM
ejpam-1206	46	8	nz)k	nz)k	PROPN
ejpam-1206	46	9	k	k	NOUN
ejpam-1206	46	10	!	!	PUNCT
ejpam-1206	47	1	p	p	X
ejpam-1206	47	2	∏	∏	PROPN
ejpam-1206	47	3	r=1	r=1	PROPN
ejpam-1206	47	4	γ	γ	X
ejpam-1206	47	5	�	�	PROPN
ejpam-1206	47	6	k+	k+	NOUN
ejpam-1206	47	7	νr	νr	ADP
ejpam-1206	47	8	n	n	PRON
ejpam-1206	47	9	�	�	PROPN
ejpam-1206	47	10	(	(	PUNCT
ejpam-1206	47	11	n	n	CCONJ
ejpam-1206	47	12	>	>	X
ejpam-1206	47	13	p	p	X
ejpam-1206	47	14	≥	≥	NUM
ejpam-1206	47	15	1	1	NUM
ejpam-1206	47	16	;	;	PUNCT
ejpam-1206	47	17	|z|	|z|	NOUN
ejpam-1206	47	18	<	<	NOUN
ejpam-1206	47	19	∞	∞	NUM
ejpam-1206	47	20	)	)	PUNCT
ejpam-1206	47	21	.	.	PUNCT
ejpam-1206	48	1	the	the	DET
ejpam-1206	48	2	integrals	integral	NOUN
ejpam-1206	48	3	cn	cn	PROPN
ejpam-1206	48	4	,	,	PUNCT
ejpam-1206	48	5	p(x	p(x	PROPN
ejpam-1206	48	6	;	;	PUNCT
ejpam-1206	48	7	~ν	~ν	NUM
ejpam-1206	48	8	)	)	PUNCT
ejpam-1206	48	9	and	and	CCONJ
ejpam-1206	48	10	sn	sn	PROPN
ejpam-1206	48	11	,	,	PUNCT
ejpam-1206	48	12	p(x	p(x	PROPN
ejpam-1206	48	13	;	;	PUNCT
ejpam-1206	48	14	~ν	~ν	NUM
ejpam-1206	48	15	)	)	PUNCT
ejpam-1206	48	16	in	in	ADP
ejpam-1206	48	17	(	(	PUNCT
ejpam-1206	48	18	3	3	X
ejpam-1206	48	19	)	)	PUNCT
ejpam-1206	48	20	will	will	AUX
ejpam-1206	48	21	be	be	AUX
ejpam-1206	48	22	shown	show	VERB
ejpam-1206	48	23	to	to	PART
ejpam-1206	48	24	be	be	AUX
ejpam-1206	48	25	expressed	express	VERB
ejpam-1206	48	26	respectively	respectively	ADV
ejpam-1206	48	27	in	in	ADP
ejpam-1206	48	28	terms	term	NOUN
ejpam-1206	48	29	of	of	ADP
ejpam-1206	48	30	the	the	DET
ejpam-1206	48	31	even	even	ADJ
ejpam-1206	48	32	and	and	CCONJ
ejpam-1206	48	33	odd	odd	ADJ
ejpam-1206	48	34	combinations	combination	NOUN
ejpam-1206	48	35	un	un	PROPN
ejpam-1206	48	36	,	,	PUNCT
ejpam-1206	48	37	p(i	p(i	PROPN
ejpam-1206	48	38	x	x	X
ejpam-1206	48	39	;	;	PUNCT
ejpam-1206	48	40	~ν)±	~ν)±	PRON
ejpam-1206	48	41	un	un	PROPN
ejpam-1206	48	42	,	,	PUNCT
ejpam-1206	48	43	p(−i	p(−i	NOUN
ejpam-1206	48	44	x	x	X
ejpam-1206	48	45	;	;	PUNCT
ejpam-1206	48	46	~ν	~ν	NUM
ejpam-1206	48	47	)	)	PUNCT
ejpam-1206	48	48	,	,	PUNCT
ejpam-1206	48	49	whence	whence	SCONJ
ejpam-1206	48	50	the	the	DET
ejpam-1206	48	51	asymptotics	asymptotic	NOUN
ejpam-1206	48	52	for	for	ADP
ejpam-1206	48	53	large	large	ADJ
ejpam-1206	48	54	complex	complex	NOUN
ejpam-1206	48	55	x	x	PRON
ejpam-1206	48	56	can	can	AUX
ejpam-1206	48	57	be	be	AUX
ejpam-1206	48	58	easily	easily	ADV
ejpam-1206	48	59	constructed	construct	VERB
ejpam-1206	48	60	from	from	ADP
ejpam-1206	48	61	knowledge	knowledge	NOUN
ejpam-1206	48	62	of	of	ADP
ejpam-1206	48	63	that	that	PRON
ejpam-1206	48	64	of	of	ADP
ejpam-1206	48	65	un	un	PROPN
ejpam-1206	48	66	,	,	PUNCT
ejpam-1206	48	67	p(z	p(z	ADV
ejpam-1206	48	68	;	;	PUNCT
ejpam-1206	48	69	~ν	~ν	NUM
ejpam-1206	48	70	)	)	PUNCT
ejpam-1206	48	71	.	.	PUNCT
ejpam-1206	49	1	it	it	PRON
ejpam-1206	49	2	will	will	AUX
ejpam-1206	49	3	be	be	AUX
ejpam-1206	49	4	established	establish	VERB
ejpam-1206	49	5	that	that	SCONJ
ejpam-1206	49	6	,	,	PUNCT
ejpam-1206	49	7	for	for	ADP
ejpam-1206	49	8	general	general	ADJ
ejpam-1206	49	9	values	value	NOUN
ejpam-1206	49	10	of	of	ADP
ejpam-1206	49	11	the	the	DET
ejpam-1206	49	12	parameters	parameter	NOUN
ejpam-1206	49	13	νr	νr	VERB
ejpam-1206	49	14	and	and	CCONJ
ejpam-1206	49	15	p	p	X
ejpam-1206	49	16	≥	≥	NUM
ejpam-1206	49	17	1	1	NUM
ejpam-1206	49	18	,	,	PUNCT
ejpam-1206	49	19	the	the	DET
ejpam-1206	49	20	integrals	integral	NOUN
ejpam-1206	49	21	cn	cn	PROPN
ejpam-1206	49	22	,	,	PUNCT
ejpam-1206	49	23	p(x	p(x	PROPN
ejpam-1206	49	24	;	;	PUNCT
ejpam-1206	49	25	~ν	~ν	NUM
ejpam-1206	49	26	)	)	PUNCT
ejpam-1206	49	27	and	and	CCONJ
ejpam-1206	49	28	sn	sn	PROPN
ejpam-1206	49	29	,	,	PUNCT
ejpam-1206	49	30	p(x	p(x	PROPN
ejpam-1206	49	31	;	;	PUNCT
ejpam-1206	49	32	~ν	~ν	NUM
ejpam-1206	49	33	)	)	PUNCT
ejpam-1206	49	34	possess	possess	VERB
ejpam-1206	49	35	a	a	DET
ejpam-1206	49	36	dominant	dominant	ADJ
ejpam-1206	49	37	algebraic	algebraic	ADJ
ejpam-1206	49	38	expansion	expansion	NOUN
ejpam-1206	49	39	in	in	ADP
ejpam-1206	49	40	the	the	DET
ejpam-1206	49	41	sectors	sector	NOUN
ejpam-1206	49	42	|arg	|arg	NOUN
ejpam-1206	49	43	(	(	PUNCT
ejpam-1206	49	44	±x)|	±x)|	X
ejpam-1206	49	45	<	<	X
ejpam-1206	49	46	πp/(2n	πp/(2n	NOUN
ejpam-1206	49	47	)	)	PUNCT
ejpam-1206	49	48	and	and	CCONJ
ejpam-1206	49	49	an	an	DET
ejpam-1206	49	50	exponentially	exponentially	ADV
ejpam-1206	49	51	large	large	ADJ
ejpam-1206	49	52	expansion	expansion	NOUN
ejpam-1206	49	53	in	in	ADP
ejpam-1206	49	54	the	the	DET
ejpam-1206	49	55	complementary	complementary	ADJ
ejpam-1206	49	56	sectors	sector	NOUN
ejpam-1206	49	57	|arg	|arg	NOUN
ejpam-1206	49	58	(	(	PUNCT
ejpam-1206	49	59	±i	±i	PROPN
ejpam-1206	49	60	x)|	x)|	PROPN
ejpam-1206	49	61	<	<	X
ejpam-1206	49	62	1	1	NUM
ejpam-1206	49	63	2	2	NUM
ejpam-1206	49	64	π(1−	π(1−	NOUN
ejpam-1206	49	65	p	p	X
ejpam-1206	49	66	/	/	SYM
ejpam-1206	49	67	n	n	CCONJ
ejpam-1206	49	68	)	)	PUNCT
ejpam-1206	49	69	.	.	PUNCT
ejpam-1206	50	1	an	an	DET
ejpam-1206	50	2	infinite	infinite	ADJ
ejpam-1206	50	3	sequence	sequence	NOUN
ejpam-1206	50	4	of	of	ADP
ejpam-1206	50	5	complex	complex	ADJ
ejpam-1206	50	6	zeros	zero	NOUN
ejpam-1206	50	7	of	of	ADP
ejpam-1206	50	8	these	these	DET
ejpam-1206	50	9	integrals	integral	NOUN
ejpam-1206	50	10	is	be	AUX
ejpam-1206	50	11	found	find	VERB
ejpam-1206	50	12	r.	r.	PROPN
ejpam-1206	50	13	paris	paris	PROPN
ejpam-1206	50	14	/	/	SYM
ejpam-1206	50	15	eur	eur	PROPN
ejpam-1206	50	16	.	.	PUNCT
ejpam-1206	51	1	j.	j.	PROPN
ejpam-1206	51	2	pure	pure	PROPN
ejpam-1206	51	3	appl	appl	PROPN
ejpam-1206	51	4	.	.	PROPN
ejpam-1206	51	5	math	math	PROPN
ejpam-1206	51	6	,	,	PUNCT
ejpam-1206	51	7	5	5	NUM
ejpam-1206	51	8	(	(	PUNCT
ejpam-1206	51	9	2012	2012	NUM
ejpam-1206	51	10	)	)	PUNCT
ejpam-1206	51	11	,	,	PUNCT
ejpam-1206	51	12	260	260	NUM
ejpam-1206	51	13	-	-	SYM
ejpam-1206	51	14	281	281	NUM
ejpam-1206	51	15	262	262	NUM
ejpam-1206	51	16	in	in	ADP
ejpam-1206	51	17	the	the	DET
ejpam-1206	51	18	neighbourhood	neighbourhood	NOUN
ejpam-1206	51	19	of	of	ADP
ejpam-1206	51	20	the	the	DET
ejpam-1206	51	21	anti	anti	ADJ
ejpam-1206	51	22	-	-	ADJ
ejpam-1206	51	23	stokes	stokes	ADJ
ejpam-1206	51	24	lines	line	NOUN
ejpam-1206	51	25	arg	arg	VERB
ejpam-1206	51	26	x	x	PUNCT
ejpam-1206	51	27	=	=	SYM
ejpam-1206	51	28	±πp/(2n	±πp/(2n	PROPN
ejpam-1206	51	29	)	)	PUNCT
ejpam-1206	51	30	(	(	PUNCT
ejpam-1206	51	31	together	together	ADV
ejpam-1206	51	32	with	with	ADP
ejpam-1206	51	33	a	a	DET
ejpam-1206	51	34	symmetrical	symmetrical	ADJ
ejpam-1206	51	35	distribution	distribution	NOUN
ejpam-1206	51	36	in	in	ADP
ejpam-1206	51	37	re(x	re(x	NOUN
ejpam-1206	51	38	)	)	PUNCT
ejpam-1206	51	39	<	<	X
ejpam-1206	51	40	0	0	NUM
ejpam-1206	51	41	)	)	PUNCT
ejpam-1206	51	42	,	,	PUNCT
ejpam-1206	51	43	where	where	SCONJ
ejpam-1206	51	44	the	the	DET
ejpam-1206	51	45	exponential	exponential	ADJ
ejpam-1206	51	46	and	and	CCONJ
ejpam-1206	51	47	algebraic	algebraic	ADJ
ejpam-1206	51	48	expansions	expansion	NOUN
ejpam-1206	51	49	are	be	AUX
ejpam-1206	51	50	of	of	ADP
ejpam-1206	51	51	comparable	comparable	ADJ
ejpam-1206	51	52	magnitude	magnitude	NOUN
ejpam-1206	51	53	.	.	PUNCT
ejpam-1206	52	1	for	for	ADP
ejpam-1206	52	2	certain	certain	ADJ
ejpam-1206	52	3	values	value	NOUN
ejpam-1206	52	4	of	of	ADP
ejpam-1206	52	5	νr	νr	NOUN
ejpam-1206	52	6	when	when	SCONJ
ejpam-1206	52	7	n	n	PRON
ejpam-1206	52	8	is	be	AUX
ejpam-1206	52	9	even	even	ADV
ejpam-1206	52	10	,	,	PUNCT
ejpam-1206	52	11	however	however	ADV
ejpam-1206	52	12	,	,	PUNCT
ejpam-1206	52	13	the	the	DET
ejpam-1206	52	14	algebraic	algebraic	ADJ
ejpam-1206	52	15	expansion	expansion	NOUN
ejpam-1206	52	16	vanishes	vanish	VERB
ejpam-1206	52	17	to	to	PART
ejpam-1206	52	18	leave	leave	VERB
ejpam-1206	52	19	an	an	DET
ejpam-1206	52	20	exponentially	exponentially	ADV
ejpam-1206	52	21	small	small	ADJ
ejpam-1206	52	22	behaviour	behaviour	NOUN
ejpam-1206	52	23	in	in	ADP
ejpam-1206	52	24	the	the	DET
ejpam-1206	52	25	sectors	sector	NOUN
ejpam-1206	52	26	|arg	|arg	NOUN
ejpam-1206	52	27	(	(	PUNCT
ejpam-1206	52	28	±x)|	±x)|	PROPN
ejpam-1206	52	29	<	<	X
ejpam-1206	52	30	πp/(2n	πp/(2n	NOUN
ejpam-1206	52	31	)	)	PUNCT
ejpam-1206	52	32	.	.	PUNCT
ejpam-1206	53	1	in	in	ADP
ejpam-1206	53	2	these	these	DET
ejpam-1206	53	3	cases	case	NOUN
ejpam-1206	53	4	,	,	PUNCT
ejpam-1206	53	5	the	the	DET
ejpam-1206	53	6	integrals	integral	NOUN
ejpam-1206	53	7	cn	cn	PROPN
ejpam-1206	53	8	,	,	PUNCT
ejpam-1206	53	9	p(x	p(x	PROPN
ejpam-1206	53	10	;	;	PUNCT
ejpam-1206	53	11	~ν	~ν	NUM
ejpam-1206	53	12	)	)	PUNCT
ejpam-1206	53	13	and	and	CCONJ
ejpam-1206	53	14	sn	sn	PROPN
ejpam-1206	53	15	,	,	PUNCT
ejpam-1206	53	16	p(x	p(x	PROPN
ejpam-1206	53	17	;	;	PUNCT
ejpam-1206	53	18	~ν	~ν	NUM
ejpam-1206	53	19	)	)	PUNCT
ejpam-1206	53	20	are	be	AUX
ejpam-1206	53	21	found	find	VERB
ejpam-1206	53	22	to	to	PART
ejpam-1206	53	23	have	have	VERB
ejpam-1206	53	24	an	an	DET
ejpam-1206	53	25	infinite	infinite	ADJ
ejpam-1206	53	26	sequence	sequence	NOUN
ejpam-1206	53	27	of	of	ADP
ejpam-1206	53	28	real	real	ADJ
ejpam-1206	53	29	zeros	zero	NOUN
ejpam-1206	53	30	.	.	PUNCT
ejpam-1206	54	1	asymptotic	asymptotic	ADJ
ejpam-1206	54	2	approximations	approximation	NOUN
ejpam-1206	54	3	to	to	ADP
ejpam-1206	54	4	the	the	DET
ejpam-1206	54	5	zeros	zero	NOUN
ejpam-1206	54	6	are	be	AUX
ejpam-1206	54	7	obtained	obtain	VERB
ejpam-1206	54	8	both	both	PRON
ejpam-1206	54	9	in	in	ADP
ejpam-1206	54	10	the	the	DET
ejpam-1206	54	11	general	general	ADJ
ejpam-1206	54	12	case	case	NOUN
ejpam-1206	54	13	and	and	CCONJ
ejpam-1206	54	14	in	in	ADP
ejpam-1206	54	15	the	the	DET
ejpam-1206	54	16	exponentially	exponentially	ADV
ejpam-1206	54	17	small	small	ADJ
ejpam-1206	54	18	case	case	NOUN
ejpam-1206	54	19	.	.	PUNCT
ejpam-1206	55	1	the	the	DET
ejpam-1206	55	2	structure	structure	NOUN
ejpam-1206	55	3	of	of	ADP
ejpam-1206	55	4	the	the	DET
ejpam-1206	55	5	paper	paper	NOUN
ejpam-1206	55	6	is	be	AUX
ejpam-1206	55	7	as	as	SCONJ
ejpam-1206	55	8	follows	follow	VERB
ejpam-1206	55	9	.	.	PUNCT
ejpam-1206	56	1	in	in	ADP
ejpam-1206	56	2	section	section	NOUN
ejpam-1206	56	3	2	2	NUM
ejpam-1206	56	4	we	we	PRON
ejpam-1206	56	5	present	present	VERB
ejpam-1206	56	6	the	the	DET
ejpam-1206	56	7	asymptotic	asymptotic	ADJ
ejpam-1206	56	8	expansion	expansion	NOUN
ejpam-1206	56	9	of	of	ADP
ejpam-1206	56	10	the	the	DET
ejpam-1206	56	11	function	function	NOUN
ejpam-1206	56	12	un	un	PROPN
ejpam-1206	56	13	,	,	PUNCT
ejpam-1206	56	14	p(z	p(z	ADV
ejpam-1206	56	15	;	;	PUNCT
ejpam-1206	56	16	~ν	~ν	NUM
ejpam-1206	56	17	)	)	PUNCT
ejpam-1206	56	18	for	for	ADP
ejpam-1206	56	19	large	large	ADJ
ejpam-1206	56	20	complex	complex	ADJ
ejpam-1206	56	21	values	value	NOUN
ejpam-1206	56	22	of	of	ADP
ejpam-1206	56	23	z.	z.	PROPN
ejpam-1206	56	24	from	from	ADP
ejpam-1206	56	25	this	this	PRON
ejpam-1206	56	26	we	we	PRON
ejpam-1206	56	27	construct	construct	VERB
ejpam-1206	56	28	the	the	DET
ejpam-1206	56	29	asymptotics	asymptotic	NOUN
ejpam-1206	56	30	of	of	ADP
ejpam-1206	56	31	the	the	DET
ejpam-1206	56	32	integrals	integral	NOUN
ejpam-1206	56	33	(	(	PUNCT
ejpam-1206	56	34	3	3	NUM
ejpam-1206	56	35	)	)	PUNCT
ejpam-1206	56	36	for	for	ADP
ejpam-1206	56	37	large	large	ADJ
ejpam-1206	56	38	complex	complex	ADJ
ejpam-1206	56	39	x	x	PUNCT
ejpam-1206	56	40	in	in	ADP
ejpam-1206	56	41	section	section	NOUN
ejpam-1206	56	42	3	3	NUM
ejpam-1206	56	43	.	.	PUNCT
ejpam-1206	57	1	the	the	DET
ejpam-1206	57	2	zeros	zero	NOUN
ejpam-1206	57	3	(	(	PUNCT
ejpam-1206	57	4	both	both	CCONJ
ejpam-1206	57	5	real	real	ADJ
ejpam-1206	57	6	and	and	CCONJ
ejpam-1206	57	7	complex	complex	ADJ
ejpam-1206	57	8	)	)	PUNCT
ejpam-1206	57	9	in	in	ADP
ejpam-1206	57	10	the	the	DET
ejpam-1206	57	11	one	one	NUM
ejpam-1206	57	12	-	-	PUNCT
ejpam-1206	57	13	dimensional	dimensional	ADJ
ejpam-1206	57	14	case	case	NOUN
ejpam-1206	57	15	p	p	X
ejpam-1206	57	16	=	=	SYM
ejpam-1206	57	17	1	1	NUM
ejpam-1206	57	18	are	be	AUX
ejpam-1206	57	19	examined	examine	VERB
ejpam-1206	57	20	in	in	ADP
ejpam-1206	57	21	section	section	NOUN
ejpam-1206	57	22	4	4	NUM
ejpam-1206	57	23	.	.	PUNCT
ejpam-1206	58	1	finally	finally	ADV
ejpam-1206	58	2	,	,	PUNCT
ejpam-1206	58	3	in	in	ADP
ejpam-1206	58	4	section	section	NOUN
ejpam-1206	58	5	5	5	NUM
ejpam-1206	58	6	we	we	PRON
ejpam-1206	58	7	investigate	investigate	VERB
ejpam-1206	58	8	the	the	DET
ejpam-1206	58	9	zeros	zero	NOUN
ejpam-1206	58	10	when	when	SCONJ
ejpam-1206	58	11	p	p	PROPN
ejpam-1206	58	12	=	=	NOUN
ejpam-1206	58	13	2	2	NUM
ejpam-1206	58	14	in	in	ADP
ejpam-1206	58	15	particular	particular	ADJ
ejpam-1206	58	16	cases	case	NOUN
ejpam-1206	58	17	and	and	CCONJ
ejpam-1206	58	18	make	make	VERB
ejpam-1206	58	19	a	a	DET
ejpam-1206	58	20	conjecture	conjecture	NOUN
ejpam-1206	58	21	on	on	ADP
ejpam-1206	58	22	the	the	DET
ejpam-1206	58	23	real	real	ADJ
ejpam-1206	58	24	zeros	zero	NOUN
ejpam-1206	58	25	for	for	ADP
ejpam-1206	58	26	general	general	ADJ
ejpam-1206	58	27	p.	p.	NOUN
ejpam-1206	58	28	2	2	NUM
ejpam-1206	58	29	.	.	PUNCT
ejpam-1206	59	1	the	the	DET
ejpam-1206	59	2	asymptotic	asymptotic	ADJ
ejpam-1206	59	3	properties	property	NOUN
ejpam-1206	59	4	of	of	ADP
ejpam-1206	59	5	un	un	PROPN
ejpam-1206	59	6	,	,	PUNCT
ejpam-1206	59	7	p(z	p(z	ADV
ejpam-1206	59	8	;	;	PUNCT
ejpam-1206	59	9	~ν	~ν	X
ejpam-1206	59	10	)	)	PUNCT
ejpam-1206	59	11	we	we	PRON
ejpam-1206	59	12	present	present	VERB
ejpam-1206	59	13	in	in	ADP
ejpam-1206	59	14	this	this	DET
ejpam-1206	59	15	section	section	NOUN
ejpam-1206	59	16	the	the	DET
ejpam-1206	59	17	asymptotic	asymptotic	ADJ
ejpam-1206	59	18	expansion	expansion	NOUN
ejpam-1206	59	19	of	of	ADP
ejpam-1206	59	20	the	the	DET
ejpam-1206	59	21	function	function	NOUN
ejpam-1206	59	22	un	un	PROPN
ejpam-1206	59	23	,	,	PUNCT
ejpam-1206	59	24	p(z	p(z	ADV
ejpam-1206	59	25	;	;	PUNCT
ejpam-1206	59	26	~ν	~ν	X
ejpam-1206	59	27	)	)	PUNCT
ejpam-1206	59	28	which	which	PRON
ejpam-1206	59	29	is	be	AUX
ejpam-1206	59	30	fundamental	fundamental	ADJ
ejpam-1206	59	31	in	in	ADP
ejpam-1206	59	32	our	our	PRON
ejpam-1206	59	33	discussion	discussion	NOUN
ejpam-1206	59	34	of	of	ADP
ejpam-1206	59	35	the	the	DET
ejpam-1206	59	36	fourier	fourier	NOUN
ejpam-1206	59	37	integrals	integral	NOUN
ejpam-1206	59	38	cn	cn	PROPN
ejpam-1206	59	39	,	,	PUNCT
ejpam-1206	59	40	p(x	p(x	PROPN
ejpam-1206	59	41	;	;	PUNCT
ejpam-1206	59	42	~ν	~ν	NUM
ejpam-1206	59	43	)	)	PUNCT
ejpam-1206	59	44	and	and	CCONJ
ejpam-1206	59	45	sn	sn	PROPN
ejpam-1206	59	46	,	,	PUNCT
ejpam-1206	59	47	p(x	p(x	PROPN
ejpam-1206	59	48	;	;	PUNCT
ejpam-1206	59	49	~ν	~ν	NUM
ejpam-1206	59	50	)	)	PUNCT
ejpam-1206	59	51	.	.	PUNCT
ejpam-1206	60	1	it	it	PRON
ejpam-1206	60	2	was	be	AUX
ejpam-1206	60	3	introduced	introduce	VERB
ejpam-1206	60	4	in	in	ADP
ejpam-1206	60	5	[	[	X
ejpam-1206	60	6	11	11	NUM
ejpam-1206	60	7	,	,	PUNCT
ejpam-1206	60	8	12	12	NUM
ejpam-1206	60	9	]	]	PUNCT
ejpam-1206	60	10	as	as	ADP
ejpam-1206	60	11	the	the	DET
ejpam-1206	60	12	solution	solution	NOUN
ejpam-1206	60	13	of	of	ADP
ejpam-1206	60	14	the	the	DET
ejpam-1206	60	15	nth	nth	NOUN
ejpam-1206	60	16	-	-	PUNCT
ejpam-1206	60	17	order	order	NOUN
ejpam-1206	60	18	differential	differential	ADJ
ejpam-1206	60	19	equations∗	equations∗	X
ejpam-1206	60	20	u(n	u(n	NOUN
ejpam-1206	60	21	)	)	PUNCT
ejpam-1206	61	1	∓	∓	PROPN
ejpam-1206	61	2	p	p	NOUN
ejpam-1206	61	3	∑	∑	PROPN
ejpam-1206	61	4	r=0	r=0	PROPN
ejpam-1206	61	5	arz	arz	PROPN
ejpam-1206	61	6	r	r	NOUN
ejpam-1206	61	7	u(r	u(r	NOUN
ejpam-1206	61	8	)	)	PUNCT
ejpam-1206	62	1	=	=	SYM
ejpam-1206	62	2	0	0	PUNCT
ejpam-1206	63	1	(	(	PUNCT
ejpam-1206	63	2	n	n	CCONJ
ejpam-1206	63	3	>	>	X
ejpam-1206	63	4	p	p	X
ejpam-1206	63	5	≥	≥	NUM
ejpam-1206	63	6	1	1	NUM
ejpam-1206	63	7	)	)	PUNCT
ejpam-1206	63	8	,	,	PUNCT
ejpam-1206	63	9	(	(	PUNCT
ejpam-1206	63	10	5	5	X
ejpam-1206	63	11	)	)	PUNCT
ejpam-1206	63	12	where	where	SCONJ
ejpam-1206	63	13	z	z	NOUN
ejpam-1206	63	14	is	be	AUX
ejpam-1206	63	15	the	the	DET
ejpam-1206	63	16	independent	independent	ADJ
ejpam-1206	63	17	variable	variable	NOUN
ejpam-1206	63	18	and	and	CCONJ
ejpam-1206	63	19	the	the	DET
ejpam-1206	63	20	coefficients	coefficient	NOUN
ejpam-1206	63	21	ar	ar	PROPN
ejpam-1206	63	22	(	(	PUNCT
ejpam-1206	63	23	1	1	NUM
ejpam-1206	63	24	≤	≤	NOUN
ejpam-1206	63	25	r	r	NOUN
ejpam-1206	63	26	≤	≤	NOUN
ejpam-1206	64	1	p	p	PRON
ejpam-1206	64	2	−	−	PROPN
ejpam-1206	64	3	1	1	NUM
ejpam-1206	64	4	)	)	PUNCT
ejpam-1206	64	5	are	be	AUX
ejpam-1206	64	6	arbitrary	arbitrary	ADJ
ejpam-1206	64	7	constants	constant	NOUN
ejpam-1206	64	8	with	with	ADP
ejpam-1206	64	9	a0	a0	PROPN
ejpam-1206	64	10	6=	6=	ADP
ejpam-1206	64	11	0	0	NUM
ejpam-1206	64	12	and	and	CCONJ
ejpam-1206	64	13	(	(	PUNCT
ejpam-1206	64	14	without	without	ADP
ejpam-1206	64	15	loss	loss	NOUN
ejpam-1206	64	16	of	of	ADP
ejpam-1206	64	17	generality	generality	NOUN
ejpam-1206	64	18	)	)	PUNCT
ejpam-1206	64	19	ap	ap	NOUN
ejpam-1206	65	1	=	=	NOUN
ejpam-1206	65	2	1	1	NUM
ejpam-1206	65	3	.	.	X
ejpam-1206	65	4	four	four	NUM
ejpam-1206	65	5	classes	class	NOUN
ejpam-1206	65	6	of	of	ADP
ejpam-1206	65	7	solution	solution	NOUN
ejpam-1206	65	8	of	of	ADP
ejpam-1206	65	9	(	(	PUNCT
ejpam-1206	65	10	5	5	NUM
ejpam-1206	65	11	)	)	PUNCT
ejpam-1206	65	12	,	,	PUNCT
ejpam-1206	65	13	exhibiting	exhibit	VERB
ejpam-1206	65	14	different	different	ADJ
ejpam-1206	65	15	types	type	NOUN
ejpam-1206	65	16	of	of	ADP
ejpam-1206	65	17	asymptotic	asymptotic	ADJ
ejpam-1206	65	18	behaviour	behaviour	NOUN
ejpam-1206	65	19	for	for	ADP
ejpam-1206	65	20	large	large	ADJ
ejpam-1206	65	21	|z|	|z|	NOUN
ejpam-1206	65	22	,	,	PUNCT
ejpam-1206	65	23	have	have	AUX
ejpam-1206	65	24	been	be	AUX
ejpam-1206	65	25	discussed	discuss	VERB
ejpam-1206	65	26	in	in	ADP
ejpam-1206	65	27	detail	detail	NOUN
ejpam-1206	65	28	in	in	ADP
ejpam-1206	65	29	[	[	X
ejpam-1206	65	30	12	12	NUM
ejpam-1206	65	31	,	,	PUNCT
ejpam-1206	65	32	chapter	chapter	NOUN
ejpam-1206	65	33	3	3	NUM
ejpam-1206	65	34	]	]	PUNCT
ejpam-1206	65	35	.	.	PUNCT
ejpam-1206	66	1	the	the	DET
ejpam-1206	66	2	polynomial	polynomial	ADJ
ejpam-1206	66	3	g(s	g(s	PROPN
ejpam-1206	66	4	)	)	PUNCT
ejpam-1206	66	5	of	of	ADP
ejpam-1206	66	6	degree	degree	NOUN
ejpam-1206	66	7	p	p	NOUN
ejpam-1206	66	8	associated	associate	VERB
ejpam-1206	66	9	with	with	ADP
ejpam-1206	66	10	(	(	PUNCT
ejpam-1206	66	11	5	5	NUM
ejpam-1206	66	12	)	)	PUNCT
ejpam-1206	66	13	is	be	AUX
ejpam-1206	66	14	defined	define	VERB
ejpam-1206	66	15	by	by	ADP
ejpam-1206	66	16	g(s	g(	NOUN
ejpam-1206	66	17	)	)	PUNCT
ejpam-1206	66	18	=	=	PUNCT
ejpam-1206	67	1	p	p	NOUN
ejpam-1206	67	2	∑	∑	PROPN
ejpam-1206	67	3	r=0	r=0	PROPN
ejpam-1206	67	4	(	(	PUNCT
ejpam-1206	67	5	−)r	−)r	X
ejpam-1206	67	6	ar(−s)r	ar(−s)r	VERB
ejpam-1206	67	7	=	=	X
ejpam-1206	68	1	p	p	X
ejpam-1206	68	2	∏	∏	PROPN
ejpam-1206	68	3	r=1	r=1	NOUN
ejpam-1206	68	4	(	(	PUNCT
ejpam-1206	68	5	s+	s+	ADV
ejpam-1206	68	6	νr	νr	PROPN
ejpam-1206	68	7	)	)	PUNCT
ejpam-1206	68	8	,	,	PUNCT
ejpam-1206	68	9	(	(	PUNCT
ejpam-1206	68	10	6	6	NUM
ejpam-1206	68	11	)	)	PUNCT
ejpam-1206	68	12	where	where	SCONJ
ejpam-1206	68	13	(	(	PUNCT
ejpam-1206	68	14	α)r	α)r	X
ejpam-1206	68	15	=	=	PUNCT
ejpam-1206	68	16	γ(α+	γ(α+	PRON
ejpam-1206	68	17	r)/γ(α	r)/γ(α	NOUN
ejpam-1206	68	18	)	)	PUNCT
ejpam-1206	68	19	is	be	AUX
ejpam-1206	68	20	the	the	DET
ejpam-1206	68	21	pochhammer	pochhammer	NOUN
ejpam-1206	68	22	symbol	symbol	NOUN
ejpam-1206	68	23	and	and	CCONJ
ejpam-1206	68	24	−νr	−νr	NOUN
ejpam-1206	68	25	(	(	PUNCT
ejpam-1206	68	26	1≤	1≤	NUM
ejpam-1206	68	27	r	r	NOUN
ejpam-1206	68	28	≤	≤	NOUN
ejpam-1206	68	29	p	p	X
ejpam-1206	68	30	)	)	PUNCT
ejpam-1206	68	31	are	be	AUX
ejpam-1206	68	32	the	the	DET
ejpam-1206	68	33	zeros	zero	NOUN
ejpam-1206	68	34	of	of	ADP
ejpam-1206	68	35	g(s	g(s	PROPN
ejpam-1206	68	36	)	)	PUNCT
ejpam-1206	68	37	.	.	PUNCT
ejpam-1206	69	1	with	with	ADP
ejpam-1206	69	2	θ	θ	PROPN
ejpam-1206	69	3	≡	≡	PROPN
ejpam-1206	69	4	zd	zd	PROPN
ejpam-1206	69	5	/	/	SYM
ejpam-1206	69	6	dz	dz	PROPN
ejpam-1206	69	7	,	,	PUNCT
ejpam-1206	69	8	so	so	SCONJ
ejpam-1206	69	9	that	that	SCONJ
ejpam-1206	69	10	the	the	DET
ejpam-1206	69	11	differential	differential	ADJ
ejpam-1206	69	12	operator	operator	NOUN
ejpam-1206	69	13	zr(d	zr(d	NOUN
ejpam-1206	69	14	/	/	SYM
ejpam-1206	69	15	dz)r	dz)r	PROPN
ejpam-1206	69	16	=	=	SYM
ejpam-1206	69	17	θ(θ−	θ(θ−	PROPN
ejpam-1206	69	18	1	1	NUM
ejpam-1206	69	19	)	)	PUNCT
ejpam-1206	69	20	.	.	PUNCT
ejpam-1206	69	21	.	.	PUNCT
ejpam-1206	70	1	.	.	PUNCT
ejpam-1206	71	1	(	(	PUNCT
ejpam-1206	71	2	θ−	θ−	INTJ
ejpam-1206	71	3	r	r	NOUN
ejpam-1206	71	4	+	+	PROPN
ejpam-1206	71	5	1	1	NUM
ejpam-1206	71	6	)	)	PUNCT
ejpam-1206	71	7	,	,	PUNCT
ejpam-1206	71	8	the	the	DET
ejpam-1206	71	9	equation	equation	NOUN
ejpam-1206	71	10	(	(	PUNCT
ejpam-1206	71	11	5	5	X
ejpam-1206	71	12	)	)	PUNCT
ejpam-1206	71	13	can	can	AUX
ejpam-1206	71	14	be	be	AUX
ejpam-1206	71	15	written	write	VERB
ejpam-1206	71	16	in	in	ADP
ejpam-1206	71	17	the	the	DET
ejpam-1206	71	18	alternative	alternative	ADJ
ejpam-1206	71	19	form	form	NOUN
ejpam-1206	71	20	u(n	u(n	NOUN
ejpam-1206	71	21	)	)	PUNCT
ejpam-1206	72	1	∓	∓	PROPN
ejpam-1206	72	2	p	p	X
ejpam-1206	72	3	∏	∏	PROPN
ejpam-1206	72	4	r=1	r=1	X
ejpam-1206	72	5	(	(	PUNCT
ejpam-1206	72	6	θ+	θ+	NUM
ejpam-1206	72	7	νr)u=	νr)u=	NOUN
ejpam-1206	72	8	0	0	NUM
ejpam-1206	72	9	,	,	PUNCT
ejpam-1206	72	10	(	(	PUNCT
ejpam-1206	72	11	7	7	X
ejpam-1206	72	12	)	)	PUNCT
ejpam-1206	72	13	which	which	PRON
ejpam-1206	72	14	is	be	AUX
ejpam-1206	72	15	a	a	DET
ejpam-1206	72	16	transformation	transformation	NOUN
ejpam-1206	72	17	of	of	ADP
ejpam-1206	72	18	the	the	DET
ejpam-1206	72	19	generalised	generalise	VERB
ejpam-1206	72	20	hypergeometric	hypergeometric	ADJ
ejpam-1206	72	21	differential	differential	NOUN
ejpam-1206	72	22	equation	equation	NOUN
ejpam-1206	72	23	[	[	X
ejpam-1206	72	24	16	16	NUM
ejpam-1206	72	25	,	,	PUNCT
ejpam-1206	72	26	p.	p.	NOUN
ejpam-1206	72	27	42	42	NUM
ejpam-1206	72	28	]	]	PUNCT
ejpam-1206	72	29	.	.	PUNCT
ejpam-1206	73	1	the	the	DET
ejpam-1206	73	2	solution	solution	NOUN
ejpam-1206	73	3	of	of	ADP
ejpam-1206	73	4	(	(	PUNCT
ejpam-1206	73	5	5	5	NUM
ejpam-1206	73	6	)	)	PUNCT
ejpam-1206	73	7	and	and	CCONJ
ejpam-1206	73	8	(	(	PUNCT
ejpam-1206	73	9	7	7	X
ejpam-1206	73	10	)	)	PUNCT
ejpam-1206	73	11	with	with	ADP
ejpam-1206	73	12	the	the	DET
ejpam-1206	73	13	upper	upper	ADJ
ejpam-1206	73	14	sign	sign	NOUN
ejpam-1206	73	15	that	that	SCONJ
ejpam-1206	73	16	we	we	PRON
ejpam-1206	73	17	consider	consider	VERB
ejpam-1206	73	18	here	here	ADV
ejpam-1206	73	19	has	have	VERB
ejpam-1206	73	20	the	the	DET
ejpam-1206	73	21	series	series	PROPN
ejpam-1206	73	22	expansion	expansion	NOUN
ejpam-1206	73	23	un	un	PROPN
ejpam-1206	73	24	,	,	PUNCT
ejpam-1206	73	25	p(z	p(z	ADV
ejpam-1206	73	26	;	;	PUNCT
ejpam-1206	73	27	~ν	~ν	NUM
ejpam-1206	73	28	)	)	PUNCT
ejpam-1206	74	1	=	=	SYM
ejpam-1206	74	2	∞	∞	NUM
ejpam-1206	74	3	∑	∑	PUNCT
ejpam-1206	74	4	k=0	k=0	X
ejpam-1206	74	5	(	(	PUNCT
ejpam-1206	74	6	np	np	INTJ
ejpam-1206	74	7	/	/	SYM
ejpam-1206	74	8	nz)k	nz)k	PROPN
ejpam-1206	74	9	k	k	NOUN
ejpam-1206	74	10	!	!	PUNCT
ejpam-1206	75	1	p	p	X
ejpam-1206	75	2	∏	∏	PROPN
ejpam-1206	75	3	r=1	r=1	PROPN
ejpam-1206	75	4	γ	γ	X
ejpam-1206	75	5	�	�	PROPN
ejpam-1206	75	6	k+	k+	NOUN
ejpam-1206	75	7	νr	νr	ADP
ejpam-1206	75	8	n	n	PRON
ejpam-1206	75	9	�	�	PROPN
ejpam-1206	75	10	(	(	PUNCT
ejpam-1206	75	11	n	n	CCONJ
ejpam-1206	75	12	>	>	X
ejpam-1206	75	13	p	p	X
ejpam-1206	75	14	≥	≥	NUM
ejpam-1206	75	15	1	1	NUM
ejpam-1206	75	16	)	)	PUNCT
ejpam-1206	75	17	.	.	PUNCT
ejpam-1206	76	1	(	(	PUNCT
ejpam-1206	76	2	8)	8)	NUM
ejpam-1206	76	3	∗we	∗we	PUNCT
ejpam-1206	76	4	exclude	exclude	VERB
ejpam-1206	76	5	the	the	DET
ejpam-1206	76	6	trivial	trivial	ADJ
ejpam-1206	76	7	case	case	NOUN
ejpam-1206	76	8	p	p	X
ejpam-1206	76	9	=	=	NOUN
ejpam-1206	76	10	0	0	X
ejpam-1206	76	11	.	.	PUNCT
ejpam-1206	76	12	r.	r.	PROPN
ejpam-1206	76	13	paris	paris	PROPN
ejpam-1206	76	14	/	/	SYM
ejpam-1206	76	15	eur	eur	PROPN
ejpam-1206	76	16	.	.	PUNCT
ejpam-1206	77	1	j.	j.	PROPN
ejpam-1206	77	2	pure	pure	PROPN
ejpam-1206	77	3	appl	appl	PROPN
ejpam-1206	77	4	.	.	PROPN
ejpam-1206	77	5	math	math	PROPN
ejpam-1206	77	6	,	,	PUNCT
ejpam-1206	77	7	5	5	NUM
ejpam-1206	77	8	(	(	PUNCT
ejpam-1206	77	9	2012	2012	NUM
ejpam-1206	77	10	)	)	PUNCT
ejpam-1206	77	11	,	,	PUNCT
ejpam-1206	77	12	260	260	NUM
ejpam-1206	77	13	-	-	SYM
ejpam-1206	77	14	281	281	NUM
ejpam-1206	77	15	263	263	NUM
ejpam-1206	77	16	provided	provide	VERB
ejpam-1206	77	17	we	we	PRON
ejpam-1206	77	18	impose	impose	VERB
ejpam-1206	77	19	the	the	DET
ejpam-1206	77	20	restriction	restriction	NOUN
ejpam-1206	77	21	that	that	SCONJ
ejpam-1206	77	22	none	none	NOUN
ejpam-1206	77	23	of	of	ADP
ejpam-1206	77	24	the	the	DET
ejpam-1206	77	25	νr	νr	NOUN
ejpam-1206	77	26	equals	equal	VERB
ejpam-1206	77	27	a	a	DET
ejpam-1206	77	28	negative	negative	ADJ
ejpam-1206	77	29	integer	integer	NOUN
ejpam-1206	77	30	(	(	PUNCT
ejpam-1206	77	31	νr	νr	ADP
ejpam-1206	77	32	6=	6=	NUM
ejpam-1206	77	33	0	0	NUM
ejpam-1206	77	34	by	by	ADP
ejpam-1206	77	35	hypothesis	hypothesis	NOUN
ejpam-1206	77	36	,	,	PUNCT
ejpam-1206	77	37	since	since	SCONJ
ejpam-1206	77	38	a0	a0	PROPN
ejpam-1206	77	39	6=	6=	PROPN
ejpam-1206	77	40	0	0	NUM
ejpam-1206	77	41	)	)	PUNCT
ejpam-1206	77	42	,	,	PUNCT
ejpam-1206	77	43	then	then	ADV
ejpam-1206	77	44	(	(	PUNCT
ejpam-1206	77	45	8)	8)	NUM
ejpam-1206	77	46	defines	define	NOUN
ejpam-1206	77	47	un	un	PROPN
ejpam-1206	77	48	,	,	PUNCT
ejpam-1206	77	49	p(z	p(z	ADV
ejpam-1206	77	50	;	;	PUNCT
ejpam-1206	77	51	~ν	~ν	NUM
ejpam-1206	77	52	)	)	PUNCT
ejpam-1206	77	53	as	as	ADP
ejpam-1206	77	54	a	a	DET
ejpam-1206	77	55	uniformly	uniformly	ADJ
ejpam-1206	77	56	and	and	CCONJ
ejpam-1206	77	57	absolutely	absolutely	ADV
ejpam-1206	77	58	convergent	convergent	ADJ
ejpam-1206	77	59	series	series	NOUN
ejpam-1206	77	60	throughout	throughout	ADP
ejpam-1206	77	61	the	the	DET
ejpam-1206	77	62	finite	finite	ADJ
ejpam-1206	77	63	z	z	NOUN
ejpam-1206	77	64	-	-	NOUN
ejpam-1206	77	65	plane	plane	NOUN
ejpam-1206	77	66	.	.	PUNCT
ejpam-1206	78	1	comparison	comparison	NOUN
ejpam-1206	78	2	with	with	ADP
ejpam-1206	78	3	(	(	PUNCT
ejpam-1206	78	4	4	4	X
ejpam-1206	78	5	)	)	PUNCT
ejpam-1206	78	6	shows	show	VERB
ejpam-1206	78	7	that	that	SCONJ
ejpam-1206	78	8	un	un	PROPN
ejpam-1206	78	9	,	,	PUNCT
ejpam-1206	78	10	p(z	p(z	NOUN
ejpam-1206	78	11	;	;	PUNCT
ejpam-1206	78	12	~ν	~ν	NUM
ejpam-1206	78	13	)	)	PUNCT
ejpam-1206	78	14	is	be	AUX
ejpam-1206	78	15	a	a	DET
ejpam-1206	78	16	particular	particular	ADJ
ejpam-1206	78	17	case	case	NOUN
ejpam-1206	78	18	of	of	ADP
ejpam-1206	78	19	the	the	DET
ejpam-1206	78	20	wright	wright	PROPN
ejpam-1206	78	21	function	function	VERB
ejpam-1206	78	22	with	with	ADP
ejpam-1206	78	23	q	q	PROPN
ejpam-1206	78	24	=	=	SYM
ejpam-1206	78	25	0	0	NUM
ejpam-1206	78	26	,	,	PUNCT
ejpam-1206	78	27	αr	αr	NUM
ejpam-1206	78	28	=	=	SYM
ejpam-1206	78	29	1	1	NUM
ejpam-1206	78	30	/	/	SYM
ejpam-1206	78	31	n	n	CCONJ
ejpam-1206	78	32	,	,	PUNCT
ejpam-1206	78	33	ar	ar	NOUN
ejpam-1206	78	34	=	=	NOUN
ejpam-1206	78	35	νr	νr	PROPN
ejpam-1206	78	36	/	/	SYM
ejpam-1206	78	37	n	n	NOUN
ejpam-1206	78	38	and	and	CCONJ
ejpam-1206	78	39	argument	argument	VERB
ejpam-1206	78	40	np	np	INTJ
ejpam-1206	78	41	/	/	SYM
ejpam-1206	78	42	nz	nz	NOUN
ejpam-1206	78	43	.	.	PUNCT
ejpam-1206	79	1	it	it	PRON
ejpam-1206	79	2	is	be	AUX
ejpam-1206	79	3	easily	easily	ADV
ejpam-1206	79	4	verified	verify	VERB
ejpam-1206	79	5	by	by	ADP
ejpam-1206	79	6	differentiation	differentiation	NOUN
ejpam-1206	79	7	of	of	ADP
ejpam-1206	79	8	the	the	DET
ejpam-1206	79	9	right	right	ADJ
ejpam-1206	79	10	-	-	PUNCT
ejpam-1206	79	11	hand	hand	NOUN
ejpam-1206	79	12	side	side	NOUN
ejpam-1206	79	13	of	of	ADP
ejpam-1206	79	14	(	(	PUNCT
ejpam-1206	79	15	8)	8)	NUM
ejpam-1206	79	16	that	that	DET
ejpam-1206	79	17	un	un	PROPN
ejpam-1206	79	18	,	,	PUNCT
ejpam-1206	79	19	p(z	p(z	ADV
ejpam-1206	79	20	;	;	PUNCT
ejpam-1206	79	21	~ν	~ν	NUM
ejpam-1206	79	22	)	)	PUNCT
ejpam-1206	79	23	satisfies	satisfy	VERB
ejpam-1206	79	24	the	the	DET
ejpam-1206	79	25	differential	differential	ADJ
ejpam-1206	79	26	equation	equation	NOUN
ejpam-1206	79	27	(	(	PUNCT
ejpam-1206	79	28	7	7	NUM
ejpam-1206	79	29	)	)	PUNCT
ejpam-1206	79	30	with	with	ADP
ejpam-1206	79	31	the	the	DET
ejpam-1206	79	32	upper	upper	ADJ
ejpam-1206	79	33	sign	sign	NOUN
ejpam-1206	79	34	.	.	PUNCT
ejpam-1206	80	1	since	since	SCONJ
ejpam-1206	80	2	(	(	PUNCT
ejpam-1206	80	3	5	5	NUM
ejpam-1206	80	4	)	)	PUNCT
ejpam-1206	80	5	is	be	AUX
ejpam-1206	80	6	unaltered	unaltere	VERB
ejpam-1206	80	7	if	if	SCONJ
ejpam-1206	80	8	z	z	NOUN
ejpam-1206	80	9	is	be	AUX
ejpam-1206	80	10	replaced	replace	VERB
ejpam-1206	80	11	by	by	ADP
ejpam-1206	80	12	ωz	ωz	ADP
ejpam-1206	80	13	,	,	PUNCT
ejpam-1206	80	14	where	where	SCONJ
ejpam-1206	80	15	ω	ω	PROPN
ejpam-1206	80	16	denotes	denote	VERB
ejpam-1206	80	17	an	an	DET
ejpam-1206	80	18	nth	nth	NOUN
ejpam-1206	80	19	root	root	NOUN
ejpam-1206	80	20	of	of	ADP
ejpam-1206	80	21	unity	unity	NOUN
ejpam-1206	80	22	,	,	PUNCT
ejpam-1206	80	23	a	a	DET
ejpam-1206	80	24	fundamental	fundamental	ADJ
ejpam-1206	80	25	system	system	NOUN
ejpam-1206	80	26	of	of	ADP
ejpam-1206	80	27	solutions	solution	NOUN
ejpam-1206	80	28	of	of	ADP
ejpam-1206	80	29	(	(	PUNCT
ejpam-1206	80	30	5	5	NUM
ejpam-1206	80	31	)	)	PUNCT
ejpam-1206	80	32	is	be	AUX
ejpam-1206	80	33	given	give	VERB
ejpam-1206	80	34	by	by	ADP
ejpam-1206	80	35	un	un	PROPN
ejpam-1206	80	36	,	,	PUNCT
ejpam-1206	80	37	p(ω	p(ω	PROPN
ejpam-1206	80	38	jz	jz	PROPN
ejpam-1206	80	39	)	)	PUNCT
ejpam-1206	80	40	un	un	PROPN
ejpam-1206	80	41	,	,	PUNCT
ejpam-1206	80	42	p(e	p(e	PROPN
ejpam-1206	80	43	πi	πi	ADV
ejpam-1206	80	44	/	/	SYM
ejpam-1206	80	45	nω	nω	NOUN
ejpam-1206	80	46	jz	jz	PROPN
ejpam-1206	80	47	)	)	PUNCT
ejpam-1206	80	48	«	«	PUNCT
ejpam-1206	80	49	,	,	PUNCT
ejpam-1206	80	50	ω	ω	NUM
ejpam-1206	80	51	j	j	X
ejpam-1206	80	52	=	=	SYM
ejpam-1206	80	53	exp(2πi	exp(2πi	PROPN
ejpam-1206	80	54	j	j	PROPN
ejpam-1206	80	55	/	/	SYM
ejpam-1206	80	56	n	n	CCONJ
ejpam-1206	80	57	)	)	PUNCT
ejpam-1206	80	58	,	,	PUNCT
ejpam-1206	80	59	j	j	PROPN
ejpam-1206	80	60	=	=	SYM
ejpam-1206	80	61	0,1	0,1	NUM
ejpam-1206	80	62	,	,	PUNCT
ejpam-1206	80	63	.	.	PUNCT
ejpam-1206	80	64	.	.	PUNCT
ejpam-1206	80	65	.	.	PUNCT
ejpam-1206	81	1	,	,	PUNCT
ejpam-1206	81	2	n−	n−	NOUN
ejpam-1206	81	3	1	1	NUM
ejpam-1206	81	4	(	(	PUNCT
ejpam-1206	81	5	9	9	NUM
ejpam-1206	81	6	)	)	PUNCT
ejpam-1206	81	7	where	where	SCONJ
ejpam-1206	81	8	the	the	DET
ejpam-1206	81	9	upper	upper	ADJ
ejpam-1206	81	10	and	and	CCONJ
ejpam-1206	81	11	lower	low	ADJ
ejpam-1206	81	12	sets	set	NOUN
ejpam-1206	81	13	of	of	ADP
ejpam-1206	81	14	solutions	solution	NOUN
ejpam-1206	81	15	correspond	correspond	VERB
ejpam-1206	81	16	to	to	ADP
ejpam-1206	81	17	the	the	DET
ejpam-1206	81	18	upper	upper	ADJ
ejpam-1206	81	19	and	and	CCONJ
ejpam-1206	81	20	lower	low	ADJ
ejpam-1206	81	21	signs	sign	NOUN
ejpam-1206	81	22	,	,	PUNCT
ejpam-1206	81	23	respectively	respectively	ADV
ejpam-1206	81	24	.	.	PUNCT
ejpam-1206	82	1	an	an	DET
ejpam-1206	82	2	integral	integral	ADJ
ejpam-1206	82	3	representation	representation	NOUN
ejpam-1206	82	4	of	of	ADP
ejpam-1206	82	5	the	the	DET
ejpam-1206	82	6	solution	solution	NOUN
ejpam-1206	82	7	is	be	AUX
ejpam-1206	82	8	given	give	VERB
ejpam-1206	82	9	by	by	ADP
ejpam-1206	82	10	the	the	DET
ejpam-1206	82	11	mellin	mellin	PROPN
ejpam-1206	82	12	-	-	PUNCT
ejpam-1206	82	13	barnes	barne	NOUN
ejpam-1206	82	14	integral	integral	ADJ
ejpam-1206	82	15	[	[	X
ejpam-1206	82	16	12	12	NUM
ejpam-1206	82	17	,	,	PUNCT
ejpam-1206	82	18	p.	p.	NOUN
ejpam-1206	82	19	61	61	NUM
ejpam-1206	82	20	]	]	PUNCT
ejpam-1206	82	21	un	un	PROPN
ejpam-1206	82	22	,	,	PUNCT
ejpam-1206	82	23	p(z	p(z	ADV
ejpam-1206	82	24	;	;	PUNCT
ejpam-1206	82	25	~ν	~ν	NUM
ejpam-1206	82	26	)	)	PUNCT
ejpam-1206	82	27	=	=	SYM
ejpam-1206	82	28	1	1	NUM
ejpam-1206	82	29	2πi	2πi	NOUN
ejpam-1206	82	30	∫	∫	PROPN
ejpam-1206	82	31	∞i	∞i	NUM
ejpam-1206	82	32	−∞i	−∞i	PUNCT
ejpam-1206	82	33	γ(−s	γ(−	NOUN
ejpam-1206	82	34	)	)	PUNCT
ejpam-1206	82	35	p	p	X
ejpam-1206	82	36	∏	∏	PROPN
ejpam-1206	82	37	r=1	r=1	PROPN
ejpam-1206	82	38	γ	γ	X
ejpam-1206	82	39	�	�	PROPN
ejpam-1206	82	40	s+	s+	PUNCT
ejpam-1206	82	41	νr	νr	ADP
ejpam-1206	82	42	n	n	PRON
ejpam-1206	82	43	�	�	PROPN
ejpam-1206	82	44	(	(	PUNCT
ejpam-1206	82	45	−np	−np	NOUN
ejpam-1206	82	46	/	/	SYM
ejpam-1206	82	47	nz)−sds	nz)−sds	PROPN
ejpam-1206	82	48	(	(	PUNCT
ejpam-1206	82	49	10	10	NUM
ejpam-1206	82	50	)	)	PUNCT
ejpam-1206	82	51	valid	valid	NOUN
ejpam-1206	82	52	in	in	ADP
ejpam-1206	82	53	the	the	DET
ejpam-1206	82	54	sector	sector	NOUN
ejpam-1206	82	55	|arg	|arg	NOUN
ejpam-1206	82	56	(	(	PUNCT
ejpam-1206	82	57	−z)|	−z)|	NOUN
ejpam-1206	82	58	<	<	X
ejpam-1206	82	59	1	1	NUM
ejpam-1206	82	60	2	2	NUM
ejpam-1206	82	61	π(1	π(1	NOUN
ejpam-1206	82	62	+	+	NOUN
ejpam-1206	82	63	p	p	NOUN
ejpam-1206	82	64	/	/	SYM
ejpam-1206	82	65	n	n	CCONJ
ejpam-1206	82	66	)	)	PUNCT
ejpam-1206	82	67	,	,	PUNCT
ejpam-1206	82	68	where	where	SCONJ
ejpam-1206	82	69	,	,	PUNCT
ejpam-1206	82	70	with	with	ADP
ejpam-1206	82	71	the	the	DET
ejpam-1206	82	72	above	above	ADV
ejpam-1206	82	73	-	-	PUNCT
ejpam-1206	82	74	mentioned	mention	VERB
ejpam-1206	82	75	restrictions	restriction	NOUN
ejpam-1206	82	76	on	on	ADP
ejpam-1206	82	77	νr	νr	PRON
ejpam-1206	82	78	,	,	PUNCT
ejpam-1206	82	79	the	the	DET
ejpam-1206	82	80	path	path	NOUN
ejpam-1206	82	81	of	of	ADP
ejpam-1206	82	82	integration	integration	NOUN
ejpam-1206	82	83	can	can	AUX
ejpam-1206	82	84	always	always	ADV
ejpam-1206	82	85	be	be	AUX
ejpam-1206	82	86	chosen	choose	VERB
ejpam-1206	82	87	to	to	PART
ejpam-1206	82	88	separate	separate	VERB
ejpam-1206	82	89	the	the	DET
ejpam-1206	82	90	poles	pole	NOUN
ejpam-1206	82	91	of	of	ADP
ejpam-1206	82	92	γ(−s	γ(−	NOUN
ejpam-1206	82	93	)	)	PUNCT
ejpam-1206	82	94	from	from	ADP
ejpam-1206	82	95	those	those	PRON
ejpam-1206	82	96	of	of	ADP
ejpam-1206	82	97	γ((s+	γ((s+	NOUN
ejpam-1206	82	98	νr)/n	νr)/n	NOUN
ejpam-1206	82	99	)	)	PUNCT
ejpam-1206	83	1	(	(	PUNCT
ejpam-1206	83	2	1≤	1≤	NUM
ejpam-1206	83	3	r	r	NOUN
ejpam-1206	83	4	≤	≤	NOUN
ejpam-1206	83	5	p	p	X
ejpam-1206	83	6	)	)	PUNCT
ejpam-1206	83	7	.	.	PUNCT
ejpam-1206	84	1	the	the	DET
ejpam-1206	84	2	asymptotic	asymptotic	ADJ
ejpam-1206	84	3	expansion	expansion	NOUN
ejpam-1206	84	4	of	of	ADP
ejpam-1206	84	5	un	un	PROPN
ejpam-1206	84	6	,	,	PUNCT
ejpam-1206	84	7	p(z	p(z	ADV
ejpam-1206	84	8	;	;	PUNCT
ejpam-1206	84	9	~ν	~ν	NUM
ejpam-1206	84	10	)	)	PUNCT
ejpam-1206	84	11	for	for	ADP
ejpam-1206	84	12	large	large	ADJ
ejpam-1206	84	13	|z|	|z|	NOUN
ejpam-1206	84	14	follows	follow	VERB
ejpam-1206	84	15	from	from	ADP
ejpam-1206	84	16	that	that	PRON
ejpam-1206	84	17	of	of	ADP
ejpam-1206	84	18	the	the	DET
ejpam-1206	84	19	wright	wright	PROPN
ejpam-1206	84	20	function	function	PROPN
ejpam-1206	84	21	pψq(z	pψq(z	PROPN
ejpam-1206	84	22	)	)	PUNCT
ejpam-1206	84	23	in	in	ADP
ejpam-1206	84	24	(	(	PUNCT
ejpam-1206	84	25	4	4	X
ejpam-1206	84	26	)	)	PUNCT
ejpam-1206	84	27	[	[	X
ejpam-1206	84	28	18	18	NUM
ejpam-1206	84	29	,	,	PUNCT
ejpam-1206	84	30	2	2	NUM
ejpam-1206	84	31	]	]	PUNCT
ejpam-1206	84	32	;	;	PUNCT
ejpam-1206	84	33	see	see	VERB
ejpam-1206	84	34	also	also	ADV
ejpam-1206	84	35	[	[	X
ejpam-1206	84	36	10	10	NUM
ejpam-1206	84	37	]	]	PUNCT
ejpam-1206	84	38	.	.	PUNCT
ejpam-1206	85	1	we	we	PRON
ejpam-1206	85	2	define	define	VERB
ejpam-1206	85	3	the	the	DET
ejpam-1206	85	4	parameters	parameter	NOUN
ejpam-1206	85	5	κ	κ	X
ejpam-1206	85	6	=	=	SYM
ejpam-1206	85	7	1−	1−	NUM
ejpam-1206	85	8	p	p	NOUN
ejpam-1206	85	9	n	n	NOUN
ejpam-1206	85	10	,	,	PUNCT
ejpam-1206	85	11	ϑ	ϑ	X
ejpam-1206	85	12	=	=	SYM
ejpam-1206	85	13	1	1	NUM
ejpam-1206	85	14	n	n	NOUN
ejpam-1206	85	15	p	p	NOUN
ejpam-1206	85	16	∑	∑	PUNCT
ejpam-1206	85	17	r=1	r=1	NOUN
ejpam-1206	85	18	νr	νr	ADP
ejpam-1206	85	19	−	−	NUM
ejpam-1206	85	20	1	1	NUM
ejpam-1206	85	21	2	2	NUM
ejpam-1206	85	22	p	p	NOUN
ejpam-1206	85	23	(	(	PUNCT
ejpam-1206	85	24	11	11	NUM
ejpam-1206	85	25	)	)	PUNCT
ejpam-1206	85	26	and	and	CCONJ
ejpam-1206	85	27	introduce	introduce	VERB
ejpam-1206	85	28	the	the	DET
ejpam-1206	85	29	formal	formal	ADJ
ejpam-1206	85	30	exponential	exponential	NOUN
ejpam-1206	85	31	and	and	CCONJ
ejpam-1206	85	32	algebraic	algebraic	ADJ
ejpam-1206	85	33	asymptotic	asymptotic	ADJ
ejpam-1206	85	34	expansions	expansion	NOUN
ejpam-1206	85	35	defined	define	VERB
ejpam-1206	85	36	respectively	respectively	ADV
ejpam-1206	85	37	by	by	ADP
ejpam-1206	85	38	e(z	e(z	PROPN
ejpam-1206	85	39	)	)	PUNCT
ejpam-1206	85	40	:	:	PUNCT
ejpam-1206	86	1	=	=	SYM
ejpam-1206	86	2	(	(	PUNCT
ejpam-1206	86	3	2π)p/2κ−	2π)p/2κ−	NUM
ejpam-1206	86	4	1	1	NUM
ejpam-1206	86	5	2	2	NUM
ejpam-1206	86	6	(	(	PUNCT
ejpam-1206	86	7	z1	z1	PROPN
ejpam-1206	86	8	/	/	SYM
ejpam-1206	86	9	κ	κ	NOUN
ejpam-1206	86	10	/	/	SYM
ejpam-1206	86	11	n)ϑ	n)ϑ	X
ejpam-1206	86	12	exp	exp	NOUN
ejpam-1206	86	13	(	(	PUNCT
ejpam-1206	86	14	κz1	κz1	NOUN
ejpam-1206	86	15	/	/	SYM
ejpam-1206	86	16	κ	κ	NOUN
ejpam-1206	86	17	)	)	PUNCT
ejpam-1206	86	18	∞	∞	PROPN
ejpam-1206	86	19	∑	∑	PUNCT
ejpam-1206	86	20	j=0	j=0	PROPN
ejpam-1206	86	21	c	c	PROPN
ejpam-1206	86	22	j(κz1	j(κz1	PROPN
ejpam-1206	86	23	/	/	SYM
ejpam-1206	86	24	κ)−	κ)−	PROPN
ejpam-1206	86	25	j	j	PROPN
ejpam-1206	86	26	,	,	PUNCT
ejpam-1206	86	27	(	(	PUNCT
ejpam-1206	86	28	12	12	NUM
ejpam-1206	86	29	)	)	PUNCT
ejpam-1206	86	30	h(z	h(z	NOUN
ejpam-1206	86	31	)	)	PUNCT
ejpam-1206	86	32	:	:	PUNCT
ejpam-1206	87	1	=	=	SYM
ejpam-1206	87	2	n	n	CCONJ
ejpam-1206	87	3	p	p	NOUN
ejpam-1206	87	4	∑	∑	PUNCT
ejpam-1206	87	5	r=1	r=1	PROPN
ejpam-1206	87	6	(	(	PUNCT
ejpam-1206	87	7	np	np	PROPN
ejpam-1206	87	8	/	/	SYM
ejpam-1206	87	9	nz)−νr	nz)−νr	NOUN
ejpam-1206	87	10	tn	tn	NOUN
ejpam-1206	87	11	,	,	PUNCT
ejpam-1206	87	12	p(z	p(z	PROPN
ejpam-1206	87	13	;	;	PUNCT
ejpam-1206	87	14	~ν	~ν	NUM
ejpam-1206	87	15	)	)	PUNCT
ejpam-1206	87	16	,	,	PUNCT
ejpam-1206	87	17	(	(	PUNCT
ejpam-1206	87	18	13	13	NUM
ejpam-1206	87	19	)	)	PUNCT
ejpam-1206	87	20	where	where	SCONJ
ejpam-1206	87	21	,	,	PUNCT
ejpam-1206	87	22	provided	provide	VERB
ejpam-1206	87	23	no	no	DET
ejpam-1206	87	24	two	two	NUM
ejpam-1206	87	25	of	of	ADP
ejpam-1206	87	26	the	the	DET
ejpam-1206	87	27	νr	νr	NOUN
ejpam-1206	87	28	either	either	CCONJ
ejpam-1206	87	29	coincide	coincide	VERB
ejpam-1206	87	30	or	or	CCONJ
ejpam-1206	87	31	differ	differ	VERB
ejpam-1206	87	32	by	by	ADP
ejpam-1206	87	33	an	an	DET
ejpam-1206	87	34	integer	integer	NOUN
ejpam-1206	87	35	multiple	multiple	NOUN
ejpam-1206	87	36	of	of	ADP
ejpam-1206	87	37	n	n	CCONJ
ejpam-1206	87	38	,	,	PUNCT
ejpam-1206	87	39	tn	tn	PROPN
ejpam-1206	87	40	,	,	PUNCT
ejpam-1206	87	41	p(z	p(z	PROPN
ejpam-1206	87	42	;	;	PUNCT
ejpam-1206	87	43	~ν	~ν	NUM
ejpam-1206	87	44	)	)	PUNCT
ejpam-1206	87	45	:	:	PUNCT
ejpam-1206	88	1	=	=	SYM
ejpam-1206	88	2	∞	∞	NUM
ejpam-1206	88	3	∑	∑	PUNCT
ejpam-1206	88	4	k=0	k=0	PROPN
ejpam-1206	88	5	(	(	PUNCT
ejpam-1206	88	6	−)k	−)k	PROPN
ejpam-1206	88	7	k	k	PROPN
ejpam-1206	88	8	!	!	PUNCT
ejpam-1206	88	9	γ(nk+	γ(nk+	PROPN
ejpam-1206	88	10	νr	νr	X
ejpam-1206	88	11	)	)	PUNCT
ejpam-1206	88	12	p	p	X
ejpam-1206	88	13	∏	∏	NUM
ejpam-1206	88	14	j=1	j=1	NOUN
ejpam-1206	88	15	′	′	NUM
ejpam-1206	88	16	γ	γ	PROPN
ejpam-1206	88	17	�	�	PROPN
ejpam-1206	88	18	ν	ν	PROPN
ejpam-1206	88	19	j	j	PROPN
ejpam-1206	88	20	−	−	PROPN
ejpam-1206	88	21	νr	νr	ADP
ejpam-1206	89	1	n	n	PRON
ejpam-1206	89	2	−	−	PROPN
ejpam-1206	89	3	k	k	PROPN
ejpam-1206	89	4	�	�	PROPN
ejpam-1206	89	5	(	(	PUNCT
ejpam-1206	89	6	np	np	PROPN
ejpam-1206	89	7	/	/	SYM
ejpam-1206	89	8	nz)−nk	nz)−nk	NOUN
ejpam-1206	89	9	with	with	ADP
ejpam-1206	89	10	the	the	DET
ejpam-1206	89	11	prime	prime	NOUN
ejpam-1206	89	12	denoting	denote	VERB
ejpam-1206	89	13	the	the	DET
ejpam-1206	89	14	omission	omission	NOUN
ejpam-1206	89	15	of	of	ADP
ejpam-1206	89	16	the	the	DET
ejpam-1206	89	17	term	term	NOUN
ejpam-1206	89	18	corresponding	correspond	VERB
ejpam-1206	89	19	to	to	ADP
ejpam-1206	89	20	j	j	PROPN
ejpam-1206	89	21	=	=	NOUN
ejpam-1206	89	22	r	r	NOUN
ejpam-1206	89	23	in	in	ADP
ejpam-1206	89	24	the	the	DET
ejpam-1206	89	25	product	product	NOUN
ejpam-1206	89	26	.	.	PUNCT
ejpam-1206	90	1	the	the	DET
ejpam-1206	90	2	algebraic	algebraic	ADJ
ejpam-1206	90	3	expansion	expansion	NOUN
ejpam-1206	90	4	h(z	h(z	NOUN
ejpam-1206	90	5	)	)	PUNCT
ejpam-1206	90	6	results	result	NOUN
ejpam-1206	90	7	from	from	ADP
ejpam-1206	90	8	displacement	displacement	NOUN
ejpam-1206	90	9	of	of	ADP
ejpam-1206	90	10	the	the	DET
ejpam-1206	90	11	integration	integration	NOUN
ejpam-1206	90	12	path	path	NOUN
ejpam-1206	90	13	in	in	ADP
ejpam-1206	90	14	(	(	PUNCT
ejpam-1206	90	15	10	10	NUM
ejpam-1206	90	16	)	)	PUNCT
ejpam-1206	90	17	over	over	ADP
ejpam-1206	90	18	the	the	DET
ejpam-1206	90	19	poles	pole	NOUN
ejpam-1206	90	20	of	of	ADP
ejpam-1206	90	21	the	the	DET
ejpam-1206	90	22	product	product	NOUN
ejpam-1206	90	23	of	of	ADP
ejpam-1206	90	24	gamma	gamma	NOUN
ejpam-1206	90	25	functions	function	NOUN
ejpam-1206	90	26	and	and	CCONJ
ejpam-1206	90	27	evaluation	evaluation	NOUN
ejpam-1206	90	28	of	of	ADP
ejpam-1206	90	29	the	the	DET
ejpam-1206	90	30	residues	residue	NOUN
ejpam-1206	90	31	.	.	PUNCT
ejpam-1206	91	1	when	when	SCONJ
ejpam-1206	91	2	these	these	DET
ejpam-1206	91	3	r.	r.	PROPN
ejpam-1206	91	4	paris	paris	PROPN
ejpam-1206	91	5	/	/	SYM
ejpam-1206	91	6	eur	eur	PROPN
ejpam-1206	91	7	.	.	PUNCT
ejpam-1206	92	1	j.	j.	PROPN
ejpam-1206	92	2	pure	pure	PROPN
ejpam-1206	92	3	appl	appl	PROPN
ejpam-1206	92	4	.	.	PROPN
ejpam-1206	92	5	math	math	PROPN
ejpam-1206	92	6	,	,	PUNCT
ejpam-1206	92	7	5	5	NUM
ejpam-1206	92	8	(	(	PUNCT
ejpam-1206	92	9	2012	2012	NUM
ejpam-1206	92	10	)	)	PUNCT
ejpam-1206	92	11	,	,	PUNCT
ejpam-1206	92	12	260	260	NUM
ejpam-1206	92	13	-	-	SYM
ejpam-1206	92	14	281	281	NUM
ejpam-1206	92	15	264	264	NUM
ejpam-1206	92	16	restrictions	restriction	NOUN
ejpam-1206	92	17	on	on	ADP
ejpam-1206	92	18	νr	νr	ADV
ejpam-1206	92	19	are	be	AUX
ejpam-1206	92	20	not	not	PART
ejpam-1206	92	21	satisfied	satisfied	ADJ
ejpam-1206	92	22	,	,	PUNCT
ejpam-1206	92	23	the	the	DET
ejpam-1206	92	24	algebraic	algebraic	ADJ
ejpam-1206	92	25	expansion	expansion	NOUN
ejpam-1206	92	26	is	be	AUX
ejpam-1206	92	27	modified	modify	VERB
ejpam-1206	92	28	by	by	ADP
ejpam-1206	92	29	the	the	DET
ejpam-1206	92	30	presence	presence	NOUN
ejpam-1206	92	31	of	of	ADP
ejpam-1206	92	32	logarithmic	logarithmic	ADJ
ejpam-1206	92	33	terms	term	NOUN
ejpam-1206	92	34	arising	arise	VERB
ejpam-1206	92	35	from	from	ADP
ejpam-1206	92	36	the	the	DET
ejpam-1206	92	37	formation	formation	NOUN
ejpam-1206	92	38	higher	high	ADJ
ejpam-1206	92	39	-	-	PUNCT
ejpam-1206	92	40	order	order	NOUN
ejpam-1206	92	41	poles	pole	NOUN
ejpam-1206	92	42	in	in	ADP
ejpam-1206	92	43	the	the	DET
ejpam-1206	92	44	integrand	integrand	NOUN
ejpam-1206	92	45	of	of	ADP
ejpam-1206	92	46	(	(	PUNCT
ejpam-1206	92	47	10	10	NUM
ejpam-1206	92	48	)	)	PUNCT
ejpam-1206	92	49	.	.	PUNCT
ejpam-1206	93	1	the	the	DET
ejpam-1206	93	2	coefficients	coefficient	NOUN
ejpam-1206	93	3	c	c	AUX
ejpam-1206	93	4	j	j	NOUN
ejpam-1206	93	5	appearing	appear	VERB
ejpam-1206	93	6	in	in	ADP
ejpam-1206	93	7	the	the	DET
ejpam-1206	93	8	exponential	exponential	ADJ
ejpam-1206	93	9	expansion	expansion	NOUN
ejpam-1206	93	10	e(z	e(z	NOUN
ejpam-1206	93	11	)	)	PUNCT
ejpam-1206	93	12	are	be	AUX
ejpam-1206	93	13	independent	independent	ADJ
ejpam-1206	93	14	of	of	ADP
ejpam-1206	93	15	z	z	PROPN
ejpam-1206	93	16	with	with	ADP
ejpam-1206	93	17	c0	c0	PROPN
ejpam-1206	93	18	=	=	SYM
ejpam-1206	93	19	1	1	NUM
ejpam-1206	93	20	and	and	CCONJ
ejpam-1206	93	21	are	be	AUX
ejpam-1206	93	22	generated	generate	VERB
ejpam-1206	93	23	by	by	ADP
ejpam-1206	93	24	the	the	DET
ejpam-1206	93	25	n	n	CCONJ
ejpam-1206	93	26	-	-	PUNCT
ejpam-1206	93	27	term	term	NOUN
ejpam-1206	93	28	recurrence	recurrence	NOUN
ejpam-1206	93	29	relation	relation	NOUN
ejpam-1206	93	30	[	[	X
ejpam-1206	93	31	12	12	NUM
ejpam-1206	93	32	,	,	PUNCT
ejpam-1206	93	33	§	§	NOUN
ejpam-1206	93	34	3.4	3.4	NUM
ejpam-1206	93	35	]	]	PUNCT
ejpam-1206	93	36	c	c	PROPN
ejpam-1206	93	37	j	j	PROPN
ejpam-1206	93	38	=	=	SYM
ejpam-1206	93	39	1	1	NUM
ejpam-1206	93	40	nκ	nκ	PROPN
ejpam-1206	93	41	j	j	PROPN
ejpam-1206	93	42	(	(	PUNCT
ejpam-1206	93	43	n−1	n−1	PROPN
ejpam-1206	93	44	∑	∑	PUNCT
ejpam-1206	93	45	s=1	s=1	PROPN
ejpam-1206	93	46	c	c	PRON
ejpam-1206	93	47	j−sp	j−sp	NOUN
ejpam-1206	93	48	(	(	PUNCT
ejpam-1206	93	49	n	n	CCONJ
ejpam-1206	93	50	)	)	PUNCT
ejpam-1206	93	51	s+1(s−	s+1(s−	NOUN
ejpam-1206	94	1	j)−	j)−	PROPN
ejpam-1206	94	2	p−1	p−1	PROPN
ejpam-1206	94	3	∑	∑	PROPN
ejpam-1206	95	1	s=1	s=1	PROPN
ejpam-1206	95	2	c	c	PROPN
ejpam-1206	95	3	j−sqs+1(s−	j−sqs+1(s−	PROPN
ejpam-1206	95	4	j	j	PROPN
ejpam-1206	95	5	)	)	PUNCT
ejpam-1206	95	6	)	)	PUNCT
ejpam-1206	96	1	(	(	PUNCT
ejpam-1206	96	2	j	j	X
ejpam-1206	96	3	≥	≥	NUM
ejpam-1206	96	4	1	1	NUM
ejpam-1206	96	5	)	)	PUNCT
ejpam-1206	96	6	(	(	PUNCT
ejpam-1206	96	7	14	14	NUM
ejpam-1206	96	8	)	)	PUNCT
ejpam-1206	96	9	with	with	ADP
ejpam-1206	96	10	c−1	c−1	PROPN
ejpam-1206	96	11	=	=	SYM
ejpam-1206	96	12	c−2	c−2	PROPN
ejpam-1206	96	13	=	=	PUNCT
ejpam-1206	96	14	.	.	PUNCT
ejpam-1206	96	15	.	.	PUNCT
ejpam-1206	96	16	.	.	PUNCT
ejpam-1206	97	1	=	=	PUNCT
ejpam-1206	97	2	c2−n	c2−n	PROPN
ejpam-1206	97	3	=	=	SYM
ejpam-1206	97	4	0	0	PROPN
ejpam-1206	97	5	,	,	PUNCT
ejpam-1206	97	6	where	where	SCONJ
ejpam-1206	97	7	p(n)s	p(n)s	PROPN
ejpam-1206	97	8	(	(	PUNCT
ejpam-1206	97	9	χ	χ	X
ejpam-1206	97	10	)	)	PUNCT
ejpam-1206	97	11	=	=	SYM
ejpam-1206	97	12	s	s	X
ejpam-1206	97	13	∑	∑	PUNCT
ejpam-1206	97	14	r=0	r=0	PROPN
ejpam-1206	97	15	r	r	NOUN
ejpam-1206	97	16	∑	∑	PUNCT
ejpam-1206	97	17	k=0	k=0	PROPN
ejpam-1206	97	18	(	(	PUNCT
ejpam-1206	97	19	ϑ+χ)r−kκk	ϑ+χ)r−kκk	PROPN
ejpam-1206	97	20	�	�	PROPN
ejpam-1206	97	21	n−	n−	NOUN
ejpam-1206	97	22	k	k	NOUN
ejpam-1206	97	23	r	r	NOUN
ejpam-1206	97	24	−	−	PROPN
ejpam-1206	97	25	k	k	PROPN
ejpam-1206	97	26	�	�	PROPN
ejpam-1206	97	27	s(n−k	s(n−k	PROPN
ejpam-1206	97	28	)	)	PUNCT
ejpam-1206	97	29	n	n	NOUN
ejpam-1206	97	30	s/	s/	NOUN
ejpam-1206	97	31	(	(	PUNCT
ejpam-1206	97	32	n−s	n−s	ADJ
ejpam-1206	97	33	)	)	PUNCT
ejpam-1206	97	34	n−r	n−r	NOUN
ejpam-1206	97	35	,	,	PUNCT
ejpam-1206	97	36	qs(χ	qs(χ	NOUN
ejpam-1206	97	37	)	)	PUNCT
ejpam-1206	98	1	=	=	SYM
ejpam-1206	98	2	s	s	X
ejpam-1206	98	3	∑	∑	PROPN
ejpam-1206	98	4	r=0	r=0	PROPN
ejpam-1206	98	5	ap−rκ	ap−rκ	PROPN
ejpam-1206	98	6	r	r	NOUN
ejpam-1206	98	7	p	p	X
ejpam-1206	98	8	(	(	PUNCT
ejpam-1206	98	9	p−r	p−r	NOUN
ejpam-1206	98	10	)	)	PUNCT
ejpam-1206	98	11	s−r	s−r	PROPN
ejpam-1206	98	12	(	(	PUNCT
ejpam-1206	98	13	χ	χ	NOUN
ejpam-1206	98	14	)	)	PUNCT
ejpam-1206	98	15	,	,	PUNCT
ejpam-1206	98	16	the	the	DET
ejpam-1206	98	17	ar	ar	NOUN
ejpam-1206	98	18	are	be	AUX
ejpam-1206	98	19	the	the	DET
ejpam-1206	98	20	coefficients	coefficient	NOUN
ejpam-1206	98	21	in	in	ADP
ejpam-1206	98	22	the	the	DET
ejpam-1206	98	23	differential	differential	ADJ
ejpam-1206	98	24	equation	equation	NOUN
ejpam-1206	98	25	(	(	PUNCT
ejpam-1206	98	26	5	5	NUM
ejpam-1206	98	27	)	)	PUNCT
ejpam-1206	98	28	and	and	CCONJ
ejpam-1206	98	29	s(m)n	s(m)n	PROPN
ejpam-1206	98	30	,	,	PUNCT
ejpam-1206	98	31	s/(m)n	s/(m)n	NUM
ejpam-1206	98	32	are	be	AUX
ejpam-1206	98	33	respectively	respectively	ADV
ejpam-1206	98	34	the	the	DET
ejpam-1206	98	35	stirling	stirling	NOUN
ejpam-1206	98	36	numbers	number	NOUN
ejpam-1206	98	37	of	of	ADP
ejpam-1206	98	38	the	the	DET
ejpam-1206	98	39	first	first	ADJ
ejpam-1206	98	40	and	and	CCONJ
ejpam-1206	98	41	second	second	ADJ
ejpam-1206	98	42	kind	kind	NOUN
ejpam-1206	98	43	.	.	PUNCT
ejpam-1206	99	1	alternatively	alternatively	ADV
ejpam-1206	99	2	,	,	PUNCT
ejpam-1206	99	3	these	these	DET
ejpam-1206	99	4	coefficients	coefficient	NOUN
ejpam-1206	99	5	may	may	AUX
ejpam-1206	99	6	be	be	AUX
ejpam-1206	99	7	obtained	obtain	VERB
ejpam-1206	99	8	by	by	ADP
ejpam-1206	99	9	means	mean	NOUN
ejpam-1206	99	10	of	of	ADP
ejpam-1206	99	11	the	the	DET
ejpam-1206	99	12	algorithm	algorithm	NOUN
ejpam-1206	99	13	described	describe	VERB
ejpam-1206	99	14	in	in	ADP
ejpam-1206	99	15	[	[	X
ejpam-1206	99	16	10	10	NUM
ejpam-1206	99	17	]	]	PUNCT
ejpam-1206	99	18	;	;	PUNCT
ejpam-1206	99	19	see	see	VERB
ejpam-1206	99	20	also	also	ADV
ejpam-1206	99	21	[	[	X
ejpam-1206	99	22	13	13	NUM
ejpam-1206	99	23	,	,	PUNCT
ejpam-1206	99	24	§	§	NOUN
ejpam-1206	99	25	2.2.4	2.2.4	NUM
ejpam-1206	99	26	]	]	X
ejpam-1206	99	27	.	.	PUNCT
ejpam-1206	100	1	from	from	ADP
ejpam-1206	100	2	[	[	X
ejpam-1206	100	3	10	10	NUM
ejpam-1206	100	4	,	,	PUNCT
ejpam-1206	100	5	appendix	appendix	VERB
ejpam-1206	100	6	a	a	PRON
ejpam-1206	100	7	]	]	X
ejpam-1206	100	8	,	,	PUNCT
ejpam-1206	100	9	we	we	PRON
ejpam-1206	100	10	have	have	VERB
ejpam-1206	100	11	the	the	DET
ejpam-1206	100	12	explicit	explicit	ADJ
ejpam-1206	100	13	representation	representation	NOUN
ejpam-1206	100	14	of	of	ADP
ejpam-1206	100	15	the	the	DET
ejpam-1206	100	16	coefficient	coefficient	NOUN
ejpam-1206	100	17	c1	c1	PROPN
ejpam-1206	100	18	in	in	ADP
ejpam-1206	100	19	the	the	DET
ejpam-1206	100	20	form	form	NOUN
ejpam-1206	100	21	c1	c1	NOUN
ejpam-1206	100	22	=	=	NOUN
ejpam-1206	100	23	1	1	NUM
ejpam-1206	100	24	2	2	NUM
ejpam-1206	100	25	κ	κ	NOUN
ejpam-1206	100	26	(	(	PUNCT
ejpam-1206	100	27	p	p	NOUN
ejpam-1206	100	28	∑	∑	PUNCT
ejpam-1206	100	29	r=1	r=1	NOUN
ejpam-1206	100	30	νr	νr	ADP
ejpam-1206	100	31	�	�	PROPN
ejpam-1206	100	32	νr	νr	ADP
ejpam-1206	100	33	n	n	PRON
ejpam-1206	100	34	−	−	PROPN
ejpam-1206	100	35	1	1	NUM
ejpam-1206	100	36	�	�	PROPN
ejpam-1206	100	37	−	−	PROPN
ejpam-1206	100	38	ϑ(1−	ϑ(1−	NOUN
ejpam-1206	100	39	ϑ	ϑ	NOUN
ejpam-1206	100	40	)	)	PUNCT
ejpam-1206	100	41	κ	κ	NOUN
ejpam-1206	100	42	)	)	PUNCT
ejpam-1206	101	1	+	+	CCONJ
ejpam-1206	101	2	p	p	NOUN
ejpam-1206	101	3	12n	12n	NOUN
ejpam-1206	101	4	(	(	PUNCT
ejpam-1206	101	5	n2−	n2−	NUM
ejpam-1206	101	6	np+	np+	NOUN
ejpam-1206	101	7	1	1	NUM
ejpam-1206	101	8	)	)	PUNCT
ejpam-1206	101	9	.	.	PUNCT
ejpam-1206	102	1	(	(	PUNCT
ejpam-1206	102	2	15	15	NUM
ejpam-1206	102	3	)	)	PUNCT
ejpam-1206	102	4	the	the	DET
ejpam-1206	102	5	first	first	ADJ
ejpam-1206	102	6	few	few	ADJ
ejpam-1206	102	7	values	value	NOUN
ejpam-1206	102	8	of	of	ADP
ejpam-1206	102	9	the	the	DET
ejpam-1206	102	10	coefficients	coefficient	NOUN
ejpam-1206	102	11	c	c	PROPN
ejpam-1206	102	12	j	j	PROPN
ejpam-1206	102	13	obtained	obtain	VERB
ejpam-1206	102	14	from	from	ADP
ejpam-1206	102	15	(	(	PUNCT
ejpam-1206	102	16	14	14	NUM
ejpam-1206	102	17	)	)	PUNCT
ejpam-1206	102	18	for	for	ADP
ejpam-1206	102	19	different	different	ADJ
ejpam-1206	102	20	n	n	CCONJ
ejpam-1206	102	21	,	,	PUNCT
ejpam-1206	102	22	p	p	PROPN
ejpam-1206	102	23	and	and	CCONJ
ejpam-1206	102	24	~ν	~ν	PROPN
ejpam-1206	102	25	are	be	AUX
ejpam-1206	102	26	given	give	VERB
ejpam-1206	102	27	in	in	ADP
ejpam-1206	102	28	table	table	NOUN
ejpam-1206	102	29	1	1	NUM
ejpam-1206	102	30	.	.	PUNCT
ejpam-1206	102	31	table	table	NOUN
ejpam-1206	102	32	1	1	NUM
ejpam-1206	102	33	:	:	PUNCT
ejpam-1206	102	34	the	the	DET
ejpam-1206	102	35	coefficients	coefficient	NOUN
ejpam-1206	102	36	c	c	PROPN
ejpam-1206	102	37	j	j	PROPN
ejpam-1206	102	38	(	(	PUNCT
ejpam-1206	102	39	1≤	1≤	NUM
ejpam-1206	102	40	j	j	PROPN
ejpam-1206	102	41	≤	≤	ADV
ejpam-1206	102	42	5	5	NUM
ejpam-1206	102	43	)	)	PUNCT
ejpam-1206	102	44	for	for	ADP
ejpam-1206	102	45	different	different	ADJ
ejpam-1206	102	46	n	n	CCONJ
ejpam-1206	102	47	,	,	PUNCT
ejpam-1206	102	48	p	p	PROPN
ejpam-1206	102	49	and	and	CCONJ
ejpam-1206	102	50	~ν	~ν	PROPN
ejpam-1206	102	51	.	.	PUNCT
ejpam-1206	103	1	n=	n=	ADJ
ejpam-1206	103	2	4	4	NUM
ejpam-1206	103	3	,	,	PUNCT
ejpam-1206	103	4	p	p	NOUN
ejpam-1206	103	5	=	=	SYM
ejpam-1206	103	6	1	1	NUM
ejpam-1206	103	7	n=	n=	ADJ
ejpam-1206	103	8	6	6	NUM
ejpam-1206	103	9	,	,	PUNCT
ejpam-1206	103	10	p	p	NOUN
ejpam-1206	103	11	=	=	SYM
ejpam-1206	103	12	2	2	NUM
ejpam-1206	103	13	n=	n=	ADJ
ejpam-1206	103	14	6	6	NUM
ejpam-1206	103	15	,	,	PUNCT
ejpam-1206	103	16	p	p	NOUN
ejpam-1206	103	17	=	=	SYM
ejpam-1206	103	18	3	3	NUM
ejpam-1206	103	19	j	j	NOUN
ejpam-1206	103	20	ν	ν	NOUN
ejpam-1206	103	21	=	=	SYM
ejpam-1206	103	22	1	1	NUM
ejpam-1206	103	23	~ν	~ν	PUNCT
ejpam-1206	103	24	=	=	SYM
ejpam-1206	103	25	(	(	PUNCT
ejpam-1206	103	26	1	1	NUM
ejpam-1206	103	27	2	2	NUM
ejpam-1206	103	28	,	,	PUNCT
ejpam-1206	103	29	2	2	NUM
ejpam-1206	103	30	)	)	PUNCT
ejpam-1206	103	31	~ν	~ν	PUNCT
ejpam-1206	103	32	=	=	PUNCT
ejpam-1206	103	33	(	(	PUNCT
ejpam-1206	103	34	1	1	NUM
ejpam-1206	103	35	2	2	NUM
ejpam-1206	103	36	,	,	PUNCT
ejpam-1206	103	37	3	3	NUM
ejpam-1206	103	38	2	2	NUM
ejpam-1206	103	39	,	,	PUNCT
ejpam-1206	103	40	4	4	NUM
ejpam-1206	103	41	)	)	PUNCT
ejpam-1206	103	42	1	1	NUM
ejpam-1206	103	43	7	7	NUM
ejpam-1206	103	44	48	48	NUM
ejpam-1206	103	45	161	161	NUM
ejpam-1206	103	46	288	288	NUM
ejpam-1206	103	47	7	7	NUM
ejpam-1206	103	48	16	16	NUM
ejpam-1206	103	49	2	2	NUM
ejpam-1206	103	50	385	385	NUM
ejpam-1206	103	51	4608	4608	NUM
ejpam-1206	103	52	114625	114625	NUM
ejpam-1206	103	53	165888	165888	NUM
ejpam-1206	103	54	289	289	NUM
ejpam-1206	103	55	512	512	NUM
ejpam-1206	103	56	3	3	NUM
ejpam-1206	103	57	39655	39655	NUM
ejpam-1206	103	58	663552	663552	NUM
ejpam-1206	103	59	189038465	189038465	NUM
ejpam-1206	103	60	143327232	143327232	NUM
ejpam-1206	103	61	10061	10061	NUM
ejpam-1206	103	62	8192	8192	NUM
ejpam-1206	103	63	4	4	NUM
ejpam-1206	103	64	665665	665665	NUM
ejpam-1206	103	65	127401984	127401984	NUM
ejpam-1206	103	66	608738148865	608738148865	NUM
ejpam-1206	103	67	165112971264	165112971264	NUM
ejpam-1206	103	68	2011691	2011691	NUM
ejpam-1206	103	69	524288	524288	NUM
ejpam-1206	103	70	5	5	NUM
ejpam-1206	103	71	−1375739365	−1375739365	NOUN
ejpam-1206	103	72	6115295232	6115295232	NUM
ejpam-1206	103	73	704282046029485	704282046029485	NUM
ejpam-1206	103	74	47552535724032	47552535724032	NUM
ejpam-1206	103	75	132834185	132834185	NUM
ejpam-1206	103	76	8388608	8388608	NUM
ejpam-1206	103	77	then	then	ADV
ejpam-1206	103	78	,	,	PUNCT
ejpam-1206	103	79	we	we	PRON
ejpam-1206	103	80	have	have	VERB
ejpam-1206	103	81	the	the	DET
ejpam-1206	103	82	asymptotic	asymptotic	ADJ
ejpam-1206	103	83	expansion	expansion	NOUN
ejpam-1206	103	84	given	give	VERB
ejpam-1206	103	85	by	by	ADP
ejpam-1206	103	86	r.	r.	PROPN
ejpam-1206	103	87	paris	paris	PROPN
ejpam-1206	103	88	/	/	SYM
ejpam-1206	103	89	eur	eur	PROPN
ejpam-1206	103	90	.	.	PUNCT
ejpam-1206	104	1	j.	j.	PROPN
ejpam-1206	104	2	pure	pure	PROPN
ejpam-1206	104	3	appl	appl	PROPN
ejpam-1206	104	4	.	.	PROPN
ejpam-1206	104	5	math	math	PROPN
ejpam-1206	104	6	,	,	PUNCT
ejpam-1206	104	7	5	5	NUM
ejpam-1206	104	8	(	(	PUNCT
ejpam-1206	104	9	2012	2012	NUM
ejpam-1206	104	10	)	)	PUNCT
ejpam-1206	104	11	,	,	PUNCT
ejpam-1206	104	12	260	260	NUM
ejpam-1206	104	13	-	-	SYM
ejpam-1206	104	14	281	281	NUM
ejpam-1206	104	15	265	265	NUM
ejpam-1206	104	16	theorem	theorem	NOUN
ejpam-1206	104	17	1	1	NUM
ejpam-1206	104	18	.	.	PUNCT
ejpam-1206	104	19	for	for	ADP
ejpam-1206	104	20	n	n	PRON
ejpam-1206	104	21	>	>	X
ejpam-1206	104	22	p	p	X
ejpam-1206	104	23	≥	≥	NUM
ejpam-1206	104	24	1	1	NUM
ejpam-1206	104	25	and	and	CCONJ
ejpam-1206	104	26	|z|	|z|	NOUN
ejpam-1206	104	27	→	→	SYM
ejpam-1206	104	28	∞	∞	PROPN
ejpam-1206	104	29	,	,	PUNCT
ejpam-1206	104	30	the	the	DET
ejpam-1206	104	31	function	function	NOUN
ejpam-1206	104	32	un	un	VERB
ejpam-1206	104	33	,	,	PUNCT
ejpam-1206	104	34	p(z	p(z	ADV
ejpam-1206	104	35	;	;	PUNCT
ejpam-1206	104	36	~ν	~ν	NUM
ejpam-1206	104	37	)	)	PUNCT
ejpam-1206	104	38	possesses	possess	VERB
ejpam-1206	104	39	the	the	DET
ejpam-1206	104	40	asymptotic	asymptotic	ADJ
ejpam-1206	104	41	expansion†	expansion†	NOUN
ejpam-1206	104	42	un	un	PROPN
ejpam-1206	104	43	,	,	PUNCT
ejpam-1206	104	44	p(z	p(z	PROPN
ejpam-1206	104	45	;	;	PUNCT
ejpam-1206	105	1	~ν)∼	~ν)∼	DET
ejpam-1206	105	2	(	(	PUNCT
ejpam-1206	105	3	e(z	e(z	PROPN
ejpam-1206	105	4	)	)	PUNCT
ejpam-1206	105	5	+	+	NOUN
ejpam-1206	105	6	h(ze∓πi	h(ze∓πi	NOUN
ejpam-1206	105	7	)	)	PUNCT
ejpam-1206	105	8	|arg	|arg	VERB
ejpam-1206	105	9	z|	z|	PROPN
ejpam-1206	105	10	<	<	X
ejpam-1206	105	11	π	π	PROPN
ejpam-1206	105	12	�	�	PROPN
ejpam-1206	105	13	1−	1−	NUM
ejpam-1206	105	14	p	p	NOUN
ejpam-1206	105	15	n	n	DET
ejpam-1206	105	16	�	�	PROPN
ejpam-1206	105	17	h(ze∓πi	h(ze∓πi	NOUN
ejpam-1206	105	18	)	)	PUNCT
ejpam-1206	105	19	|arg	|arg	NOUN
ejpam-1206	105	20	(	(	PUNCT
ejpam-1206	105	21	−z)|	−z)|	NOUN
ejpam-1206	105	22	<	<	X
ejpam-1206	105	23	1	1	NUM
ejpam-1206	105	24	2	2	NUM
ejpam-1206	105	25	π	π	X
ejpam-1206	105	26	�	�	PROPN
ejpam-1206	105	27	1	1	NUM
ejpam-1206	105	28	+	+	CCONJ
ejpam-1206	105	29	p	p	NOUN
ejpam-1206	105	30	n	n	DET
ejpam-1206	105	31	�	�	PROPN
ejpam-1206	105	32	,	,	PUNCT
ejpam-1206	105	33	(	(	PUNCT
ejpam-1206	105	34	16	16	NUM
ejpam-1206	105	35	)	)	PUNCT
ejpam-1206	105	36	where	where	SCONJ
ejpam-1206	105	37	the	the	DET
ejpam-1206	105	38	upper	upper	ADJ
ejpam-1206	105	39	or	or	CCONJ
ejpam-1206	105	40	lower	low	ADJ
ejpam-1206	105	41	signs	sign	NOUN
ejpam-1206	105	42	in	in	ADP
ejpam-1206	105	43	(	(	PUNCT
ejpam-1206	105	44	16	16	NUM
ejpam-1206	105	45	)	)	PUNCT
ejpam-1206	105	46	are	be	AUX
ejpam-1206	105	47	chosen	choose	VERB
ejpam-1206	105	48	according	accord	VERB
ejpam-1206	105	49	as	as	ADP
ejpam-1206	105	50	arg	arg	NOUN
ejpam-1206	105	51	z	z	NOUN
ejpam-1206	105	52	>	>	X
ejpam-1206	105	53	0	0	NUM
ejpam-1206	105	54	or	or	CCONJ
ejpam-1206	105	55	arg	arg	NOUN
ejpam-1206	105	56	z	z	NOUN
ejpam-1206	105	57	<	<	X
ejpam-1206	105	58	0	0	NUM
ejpam-1206	105	59	,	,	PUNCT
ejpam-1206	105	60	respectively	respectively	ADV
ejpam-1206	105	61	.	.	PUNCT
ejpam-1206	106	1	the	the	DET
ejpam-1206	106	2	expansion	expansion	NOUN
ejpam-1206	106	3	of	of	ADP
ejpam-1206	106	4	the	the	DET
ejpam-1206	106	5	fundamental	fundamental	ADJ
ejpam-1206	106	6	systems	system	NOUN
ejpam-1206	106	7	in	in	ADP
ejpam-1206	106	8	(	(	PUNCT
ejpam-1206	106	9	9	9	NUM
ejpam-1206	106	10	)	)	PUNCT
ejpam-1206	106	11	follows	follow	VERB
ejpam-1206	106	12	immediately	immediately	ADV
ejpam-1206	106	13	by	by	ADP
ejpam-1206	106	14	rotation	rotation	NOUN
ejpam-1206	106	15	of	of	ADP
ejpam-1206	106	16	the	the	DET
ejpam-1206	106	17	argument	argument	NOUN
ejpam-1206	106	18	z	z	X
ejpam-1206	106	19	by	by	ADP
ejpam-1206	106	20	2π	2π	PROPN
ejpam-1206	106	21	j	j	PROPN
ejpam-1206	106	22	/	/	SYM
ejpam-1206	106	23	n	n	PROPN
ejpam-1206	106	24	and	and	CCONJ
ejpam-1206	106	25	(	(	PUNCT
ejpam-1206	106	26	2	2	NUM
ejpam-1206	106	27	j+	j+	NUM
ejpam-1206	106	28	1)π	1)π	NUM
ejpam-1206	106	29	/	/	SYM
ejpam-1206	106	30	n.	n.	NOUN
ejpam-1206	106	31	the	the	DET
ejpam-1206	106	32	function	function	NOUN
ejpam-1206	106	33	un	un	PROPN
ejpam-1206	106	34	,	,	PUNCT
ejpam-1206	106	35	p(z	p(z	ADV
ejpam-1206	106	36	;	;	PUNCT
ejpam-1206	106	37	~ν	~ν	NUM
ejpam-1206	106	38	)	)	PUNCT
ejpam-1206	106	39	is	be	AUX
ejpam-1206	106	40	exponentially	exponentially	ADV
ejpam-1206	106	41	large	large	ADJ
ejpam-1206	106	42	as	as	ADP
ejpam-1206	106	43	|z|	|z|	NOUN
ejpam-1206	106	44	→	→	SYM
ejpam-1206	106	45	∞	∞	NUM
ejpam-1206	106	46	in	in	ADP
ejpam-1206	106	47	the	the	DET
ejpam-1206	106	48	sector	sector	NOUN
ejpam-1206	106	49	|arg	|arg	NOUN
ejpam-1206	106	50	z|	z|	PROPN
ejpam-1206	106	51	<	<	X
ejpam-1206	106	52	1	1	NUM
ejpam-1206	106	53	2	2	NUM
ejpam-1206	106	54	πκ	πκ	NOUN
ejpam-1206	106	55	,	,	PUNCT
ejpam-1206	106	56	whereas	whereas	SCONJ
ejpam-1206	106	57	in	in	ADP
ejpam-1206	106	58	the	the	DET
ejpam-1206	106	59	complementary	complementary	ADJ
ejpam-1206	106	60	sector	sector	NOUN
ejpam-1206	106	61	|arg(−z)|	|arg(−z)|	PUNCT
ejpam-1206	106	62	<	<	X
ejpam-1206	106	63	1	1	NUM
ejpam-1206	106	64	2	2	NUM
ejpam-1206	106	65	π(2	π(2	PROPN
ejpam-1206	106	66	−	−	NOUN
ejpam-1206	106	67	κ	κ	NOUN
ejpam-1206	106	68	)	)	PUNCT
ejpam-1206	106	69	the	the	DET
ejpam-1206	106	70	dominant	dominant	ADJ
ejpam-1206	106	71	asymptotic	asymptotic	ADJ
ejpam-1206	106	72	behaviour	behaviour	NOUN
ejpam-1206	106	73	consists	consist	VERB
ejpam-1206	106	74	(	(	PUNCT
ejpam-1206	106	75	in	in	ADP
ejpam-1206	106	76	general	general	ADJ
ejpam-1206	106	77	)	)	PUNCT
ejpam-1206	106	78	of	of	ADP
ejpam-1206	106	79	p	p	DET
ejpam-1206	106	80	algebraic	algebraic	ADJ
ejpam-1206	106	81	expansions	expansion	NOUN
ejpam-1206	106	82	,	,	PUNCT
ejpam-1206	106	83	each	each	PRON
ejpam-1206	106	84	with	with	ADP
ejpam-1206	106	85	the	the	DET
ejpam-1206	106	86	controlling	control	VERB
ejpam-1206	106	87	behaviour	behaviour	NOUN
ejpam-1206	106	88	z−νr	z−νr	NOUN
ejpam-1206	106	89	,	,	PUNCT
ejpam-1206	106	90	r	r	NOUN
ejpam-1206	106	91	=	=	SYM
ejpam-1206	106	92	1,2	1,2	NUM
ejpam-1206	106	93	,	,	PUNCT
ejpam-1206	106	94	.	.	PUNCT
ejpam-1206	106	95	.	.	PUNCT
ejpam-1206	107	1	.	.	PUNCT
ejpam-1206	108	1	,	,	PUNCT
ejpam-1206	108	2	p.	p.	NOUN
ejpam-1206	108	3	in	in	ADP
ejpam-1206	108	4	the	the	DET
ejpam-1206	108	5	common	common	ADJ
ejpam-1206	108	6	sectors	sector	NOUN
ejpam-1206	108	7	of	of	ADP
ejpam-1206	108	8	validity	validity	NOUN
ejpam-1206	108	9	,	,	PUNCT
ejpam-1206	108	10	1	1	NUM
ejpam-1206	108	11	2	2	NUM
ejpam-1206	108	12	πκ	πκ	NOUN
ejpam-1206	108	13	<	<	X
ejpam-1206	108	14	|arg	|arg	NOUN
ejpam-1206	108	15	z|	z|	PROPN
ejpam-1206	108	16	<	<	X
ejpam-1206	108	17	πκ	πκ	INTJ
ejpam-1206	108	18	,	,	PUNCT
ejpam-1206	108	19	the	the	DET
ejpam-1206	108	20	expansions	expansion	NOUN
ejpam-1206	108	21	in	in	ADP
ejpam-1206	108	22	(	(	PUNCT
ejpam-1206	108	23	16	16	NUM
ejpam-1206	108	24	)	)	PUNCT
ejpam-1206	108	25	differ	differ	VERB
ejpam-1206	108	26	only	only	ADV
ejpam-1206	108	27	through	through	ADP
ejpam-1206	108	28	the	the	DET
ejpam-1206	108	29	presence	presence	NOUN
ejpam-1206	108	30	of	of	ADP
ejpam-1206	108	31	the	the	DET
ejpam-1206	108	32	series	series	NOUN
ejpam-1206	108	33	e(z	e(z	PROPN
ejpam-1206	108	34	)	)	PUNCT
ejpam-1206	108	35	,	,	PUNCT
ejpam-1206	108	36	which	which	PRON
ejpam-1206	108	37	is	be	AUX
ejpam-1206	108	38	exponentially	exponentially	ADV
ejpam-1206	108	39	small	small	ADJ
ejpam-1206	108	40	in	in	ADP
ejpam-1206	108	41	these	these	DET
ejpam-1206	108	42	sectors	sector	NOUN
ejpam-1206	108	43	.	.	PUNCT
ejpam-1206	109	1	the	the	DET
ejpam-1206	109	2	rays	ray	NOUN
ejpam-1206	109	3	arg	arg	VERB
ejpam-1206	109	4	z	z	NOUN
ejpam-1206	109	5	=	=	PUNCT
ejpam-1206	109	6	±πκ	±πκ	NOUN
ejpam-1206	109	7	are	be	AUX
ejpam-1206	109	8	stokes	stoke	NOUN
ejpam-1206	109	9	lines	line	NOUN
ejpam-1206	109	10	on	on	ADP
ejpam-1206	109	11	which	which	PRON
ejpam-1206	109	12	the	the	DET
ejpam-1206	109	13	expansion	expansion	NOUN
ejpam-1206	109	14	e(z	e(z	NOUN
ejpam-1206	109	15	)	)	PUNCT
ejpam-1206	109	16	is	be	AUX
ejpam-1206	109	17	maximally	maximally	ADV
ejpam-1206	109	18	subdominant	subdominant	ADJ
ejpam-1206	109	19	.	.	PUNCT
ejpam-1206	110	1	it	it	PRON
ejpam-1206	110	2	was	be	AUX
ejpam-1206	110	3	established	establish	VERB
ejpam-1206	110	4	in	in	ADP
ejpam-1206	110	5	[	[	X
ejpam-1206	110	6	9	9	NUM
ejpam-1206	110	7	]	]	PUNCT
ejpam-1206	110	8	that	that	SCONJ
ejpam-1206	110	9	(	(	PUNCT
ejpam-1206	110	10	in	in	ADP
ejpam-1206	110	11	the	the	DET
ejpam-1206	110	12	sense	sense	NOUN
ejpam-1206	110	13	of	of	ADP
ejpam-1206	110	14	increasing	increase	VERB
ejpam-1206	110	15	|arg	|arg	NOUN
ejpam-1206	110	16	z|	z|	PROPN
ejpam-1206	110	17	)	)	PUNCT
ejpam-1206	110	18	the	the	DET
ejpam-1206	110	19	expansion	expansion	NOUN
ejpam-1206	110	20	e(z	e(z	NOUN
ejpam-1206	110	21	)	)	PUNCT
ejpam-1206	110	22	switches	switch	VERB
ejpam-1206	110	23	off	off	ADP
ejpam-1206	110	24	smoothly	smoothly	ADV
ejpam-1206	110	25	as	as	SCONJ
ejpam-1206	110	26	these	these	DET
ejpam-1206	110	27	stokes	stoke	NOUN
ejpam-1206	110	28	lines	line	NOUN
ejpam-1206	110	29	are	be	AUX
ejpam-1206	110	30	crossed	cross	VERB
ejpam-1206	110	31	.	.	PUNCT
ejpam-1206	111	1	the	the	DET
ejpam-1206	111	2	positive	positive	ADJ
ejpam-1206	111	3	real	real	ADJ
ejpam-1206	111	4	axis	axis	NOUN
ejpam-1206	111	5	is	be	AUX
ejpam-1206	111	6	also	also	ADV
ejpam-1206	111	7	a	a	DET
ejpam-1206	111	8	stokes	stoke	NOUN
ejpam-1206	111	9	line	line	NOUN
ejpam-1206	111	10	where	where	SCONJ
ejpam-1206	111	11	the	the	DET
ejpam-1206	111	12	algebraic	algebraic	ADJ
ejpam-1206	111	13	expansion	expansion	NOUN
ejpam-1206	111	14	is	be	AUX
ejpam-1206	111	15	maximally	maximally	ADV
ejpam-1206	111	16	subdominant	subdominant	ADJ
ejpam-1206	111	17	.	.	PUNCT
ejpam-1206	112	1	the	the	DET
ejpam-1206	112	2	sectorial	sectorial	ADJ
ejpam-1206	112	3	behaviour	behaviour	NOUN
ejpam-1206	112	4	of	of	ADP
ejpam-1206	112	5	un	un	PROPN
ejpam-1206	112	6	,	,	PUNCT
ejpam-1206	112	7	p(z	p(z	ADV
ejpam-1206	112	8	;	;	PUNCT
ejpam-1206	112	9	~ν	~ν	NUM
ejpam-1206	112	10	)	)	PUNCT
ejpam-1206	112	11	is	be	AUX
ejpam-1206	112	12	illustrated	illustrate	VERB
ejpam-1206	112	13	in	in	ADP
ejpam-1206	112	14	fig	fig	NOUN
ejpam-1206	112	15	.	.	PUNCT
ejpam-1206	113	1	1	1	X
ejpam-1206	113	2	.	.	X
ejpam-1206	113	3	exponentially	exponentially	ADV
ejpam-1206	113	4	large	large	ADJ
ejpam-1206	113	5	+	+	CCONJ
ejpam-1206	113	6	algebraic	algebraic	ADJ
ejpam-1206	113	7	exponentially	exponentially	ADV
ejpam-1206	113	8	small	small	ADJ
ejpam-1206	114	1	+	+	CCONJ
ejpam-1206	114	2	algebraic	algebraic	ADJ
ejpam-1206	114	3	algebraic	algebraic	ADJ
ejpam-1206	114	4	exponentially	exponentially	ADV
ejpam-1206	114	5	small	small	ADJ
ejpam-1206	115	1	+	+	CCONJ
ejpam-1206	115	2	algebraic	algebraic	PROPN
ejpam-1206	115	3	stokes	stoke	NOUN
ejpam-1206	115	4	line	line	PROPN
ejpam-1206	115	5	stokes	stokes	PROPN
ejpam-1206	115	6	line	line	PROPN
ejpam-1206	115	7	stokes	stokes	PROPN
ejpam-1206	115	8	line	line	NOUN
ejpam-1206	115	9	πκ	πκ	INTJ
ejpam-1206	115	10	−	−	NOUN
ejpam-1206	115	11	πκ	πκ	INTJ
ejpam-1206	115	12	πκ/2	πκ/2	ADV
ejpam-1206	115	13	−πκ/2	−πκ/2	PART
ejpam-1206	115	14	figure	figure	VERB
ejpam-1206	115	15	1	1	NUM
ejpam-1206	115	16	:	:	PUNCT
ejpam-1206	115	17	the	the	DET
ejpam-1206	115	18	sectorial	sectorial	ADJ
ejpam-1206	115	19	behaviour	behaviour	NOUN
ejpam-1206	115	20	of	of	ADP
ejpam-1206	115	21	un	un	PROPN
ejpam-1206	115	22	,	,	PUNCT
ejpam-1206	115	23	p(z	p(z	ADV
ejpam-1206	115	24	;	;	PUNCT
ejpam-1206	115	25	~ν	~ν	NUM
ejpam-1206	115	26	)	)	PUNCT
ejpam-1206	115	27	for	for	ADP
ejpam-1206	115	28	large	large	ADJ
ejpam-1206	115	29	|z|	|z|	NOUN
ejpam-1206	115	30	.	.	PUNCT
ejpam-1206	116	1	finally	finally	ADV
ejpam-1206	116	2	,	,	PUNCT
ejpam-1206	116	3	it	it	PRON
ejpam-1206	116	4	is	be	AUX
ejpam-1206	116	5	worth	worth	ADJ
ejpam-1206	116	6	remarking	remark	VERB
ejpam-1206	116	7	that	that	SCONJ
ejpam-1206	116	8	the	the	DET
ejpam-1206	116	9	expansion	expansion	NOUN
ejpam-1206	116	10	in	in	ADP
ejpam-1206	116	11	(	(	PUNCT
ejpam-1206	116	12	16	16	NUM
ejpam-1206	116	13	)	)	PUNCT
ejpam-1206	116	14	remains	remain	VERB
ejpam-1206	116	15	valid	valid	ADJ
ejpam-1206	116	16	for	for	ADP
ejpam-1206	116	17	noninteger	noninteger	NOUN
ejpam-1206	116	18	values	value	NOUN
ejpam-1206	116	19	of	of	ADP
ejpam-1206	116	20	n	n	PROPN
ejpam-1206	116	21	>	>	X
ejpam-1206	116	22	p	p	X
ejpam-1206	116	23	;	;	PUNCT
ejpam-1206	116	24	in	in	ADP
ejpam-1206	116	25	this	this	DET
ejpam-1206	116	26	case	case	NOUN
ejpam-1206	116	27	,	,	PUNCT
ejpam-1206	116	28	of	of	ADP
ejpam-1206	116	29	course	course	NOUN
ejpam-1206	116	30	,	,	PUNCT
ejpam-1206	116	31	the	the	DET
ejpam-1206	116	32	function	function	NOUN
ejpam-1206	116	33	un	un	VERB
ejpam-1206	116	34	,	,	PUNCT
ejpam-1206	116	35	p(z	p(z	ADV
ejpam-1206	116	36	;	;	PUNCT
ejpam-1206	116	37	~ν	~ν	NUM
ejpam-1206	116	38	)	)	PUNCT
ejpam-1206	116	39	is	be	AUX
ejpam-1206	116	40	not	not	PART
ejpam-1206	116	41	a	a	DET
ejpam-1206	116	42	solution	solution	NOUN
ejpam-1206	116	43	of	of	ADP
ejpam-1206	116	44	(	(	PUNCT
ejpam-1206	116	45	5	5	NUM
ejpam-1206	116	46	)	)	PUNCT
ejpam-1206	116	47	and	and	CCONJ
ejpam-1206	116	48	the	the	DET
ejpam-1206	116	49	recurrence	recurrence	NOUN
ejpam-1206	116	50	relation	relation	NOUN
ejpam-1206	116	51	(	(	PUNCT
ejpam-1206	116	52	14	14	NUM
ejpam-1206	116	53	)	)	PUNCT
ejpam-1206	116	54	can	can	AUX
ejpam-1206	116	55	no	no	ADV
ejpam-1206	116	56	longer	long	ADV
ejpam-1206	116	57	be	be	AUX
ejpam-1206	116	58	employed	employ	VERB
ejpam-1206	116	59	.	.	PUNCT
ejpam-1206	117	1	the	the	DET
ejpam-1206	117	2	coefficients	coefficient	NOUN
ejpam-1206	117	3	c	c	PROPN
ejpam-1206	117	4	j	j	PROPN
ejpam-1206	117	5	in	in	ADP
ejpam-1206	117	6	this	this	DET
ejpam-1206	117	7	case	case	NOUN
ejpam-1206	117	8	can	can	AUX
ejpam-1206	117	9	be	be	AUX
ejpam-1206	117	10	obtained	obtain	VERB
ejpam-1206	117	11	by	by	ADP
ejpam-1206	117	12	the	the	DET
ejpam-1206	117	13	algorithm	algorithm	NOUN
ejpam-1206	117	14	described	describe	VERB
ejpam-1206	117	15	in	in	ADP
ejpam-1206	117	16	[	[	X
ejpam-1206	117	17	10	10	NUM
ejpam-1206	117	18	]	]	X
ejpam-1206	117	19	.	.	PUNCT
ejpam-1206	118	1	†we	†we	PUNCT
ejpam-1206	118	2	remark	remark	VERB
ejpam-1206	118	3	that	that	SCONJ
ejpam-1206	118	4	the	the	DET
ejpam-1206	118	5	first	first	ADJ
ejpam-1206	118	6	expansion	expansion	NOUN
ejpam-1206	118	7	in	in	ADP
ejpam-1206	118	8	(	(	PUNCT
ejpam-1206	118	9	16	16	NUM
ejpam-1206	118	10	)	)	PUNCT
ejpam-1206	118	11	was	be	AUX
ejpam-1206	118	12	given	give	VERB
ejpam-1206	118	13	in	in	ADP
ejpam-1206	118	14	[	[	X
ejpam-1206	118	15	12	12	NUM
ejpam-1206	118	16	,	,	PUNCT
ejpam-1206	118	17	11	11	NUM
ejpam-1206	118	18	]	]	PUNCT
ejpam-1206	118	19	only	only	ADV
ejpam-1206	118	20	in	in	ADP
ejpam-1206	118	21	the	the	DET
ejpam-1206	118	22	narrower	narrow	ADJ
ejpam-1206	118	23	sector	sector	NOUN
ejpam-1206	118	24	|arg	|arg	VERB
ejpam-1206	118	25	z|	z|	PROPN
ejpam-1206	118	26	≤	≤	NOUN
ejpam-1206	118	27	1	1	NUM
ejpam-1206	118	28	2	2	NUM
ejpam-1206	118	29	πκ	πκ	INTJ
ejpam-1206	118	30	where	where	SCONJ
ejpam-1206	118	31	the	the	DET
ejpam-1206	118	32	exponential	exponential	ADJ
ejpam-1206	118	33	expansion	expansion	NOUN
ejpam-1206	118	34	e(z	e(z	NOUN
ejpam-1206	118	35	)	)	PUNCT
ejpam-1206	118	36	is	be	AUX
ejpam-1206	118	37	dominant	dominant	ADJ
ejpam-1206	118	38	.	.	PUNCT
ejpam-1206	119	1	r.	r.	PROPN
ejpam-1206	119	2	paris	paris	PROPN
ejpam-1206	119	3	/	/	SYM
ejpam-1206	119	4	eur	eur	PROPN
ejpam-1206	119	5	.	.	PUNCT
ejpam-1206	120	1	j.	j.	PROPN
ejpam-1206	120	2	pure	pure	PROPN
ejpam-1206	120	3	appl	appl	PROPN
ejpam-1206	120	4	.	.	PROPN
ejpam-1206	120	5	math	math	PROPN
ejpam-1206	120	6	,	,	PUNCT
ejpam-1206	120	7	5	5	NUM
ejpam-1206	120	8	(	(	PUNCT
ejpam-1206	120	9	2012	2012	NUM
ejpam-1206	120	10	)	)	PUNCT
ejpam-1206	120	11	,	,	PUNCT
ejpam-1206	120	12	260	260	NUM
ejpam-1206	120	13	-	-	SYM
ejpam-1206	120	14	281	281	NUM
ejpam-1206	120	15	266	266	NUM
ejpam-1206	120	16	3	3	NUM
ejpam-1206	120	17	.	.	PUNCT
ejpam-1206	121	1	the	the	DET
ejpam-1206	121	2	asymptotic	asymptotic	ADJ
ejpam-1206	121	3	expansion	expansion	NOUN
ejpam-1206	121	4	of	of	ADP
ejpam-1206	121	5	cn	cn	PROPN
ejpam-1206	121	6	,	,	PUNCT
ejpam-1206	121	7	p(x	p(x	PROPN
ejpam-1206	121	8	;	;	PUNCT
ejpam-1206	121	9	~ν	~ν	NUM
ejpam-1206	121	10	)	)	PUNCT
ejpam-1206	121	11	and	and	CCONJ
ejpam-1206	121	12	sn	sn	PROPN
ejpam-1206	121	13	,	,	PUNCT
ejpam-1206	121	14	p(x	p(x	PROPN
ejpam-1206	121	15	;	;	PUNCT
ejpam-1206	121	16	~ν	~ν	NUM
ejpam-1206	121	17	)	)	PUNCT
ejpam-1206	121	18	for	for	ADP
ejpam-1206	121	19	|x	|x	NOUN
ejpam-1206	121	20	|	|	ADV
ejpam-1206	121	21	→∞	→∞	PROPN
ejpam-1206	121	22	a	a	DET
ejpam-1206	121	23	laplace	laplace	NOUN
ejpam-1206	121	24	integral	integral	ADJ
ejpam-1206	121	25	representation	representation	NOUN
ejpam-1206	121	26	for	for	ADP
ejpam-1206	121	27	un	un	PROPN
ejpam-1206	121	28	,	,	PUNCT
ejpam-1206	121	29	p(z	p(z	NOUN
ejpam-1206	121	30	;	;	PUNCT
ejpam-1206	121	31	~ν	~ν	NUM
ejpam-1206	121	32	)	)	PUNCT
ejpam-1206	121	33	has	have	AUX
ejpam-1206	121	34	been	be	AUX
ejpam-1206	121	35	given	give	VERB
ejpam-1206	121	36	in	in	ADP
ejpam-1206	121	37	[	[	X
ejpam-1206	121	38	12	12	NUM
ejpam-1206	121	39	,	,	PUNCT
ejpam-1206	121	40	p.	p.	NOUN
ejpam-1206	121	41	124	124	NUM
ejpam-1206	121	42	]	]	PUNCT
ejpam-1206	121	43	.	.	PUNCT
ejpam-1206	122	1	when	when	SCONJ
ejpam-1206	122	2	p	p	NOUN
ejpam-1206	122	3	=	=	NOUN
ejpam-1206	122	4	1	1	NUM
ejpam-1206	122	5	,	,	PUNCT
ejpam-1206	122	6	this	this	PRON
ejpam-1206	122	7	takes	take	VERB
ejpam-1206	122	8	the	the	DET
ejpam-1206	122	9	form	form	NOUN
ejpam-1206	122	10	un,1(z;ν	un,1(z;ν	PROPN
ejpam-1206	122	11	)	)	PUNCT
ejpam-1206	122	12	=	=	SYM
ejpam-1206	123	1	n	n	CCONJ
ejpam-1206	123	2	1	1	NUM
ejpam-1206	123	3	2	2	NUM
ejpam-1206	123	4	−ϑ	−ϑ	NOUN
ejpam-1206	123	5	∫	∫	PROPN
ejpam-1206	123	6	∞	∞	NOUN
ejpam-1206	123	7	0	0	PUNCT
ejpam-1206	124	1	tν−1ezt−tn	tν−1ezt−tn	PROPN
ejpam-1206	124	2	/	/	SYM
ejpam-1206	124	3	n	n	PROPN
ejpam-1206	124	4	d	d	PROPN
ejpam-1206	124	5	t	t	PROPN
ejpam-1206	124	6	(	(	PUNCT
ejpam-1206	124	7	re	re	X
ejpam-1206	124	8	(	(	PUNCT
ejpam-1206	124	9	ν	ν	NOUN
ejpam-1206	124	10	)	)	PUNCT
ejpam-1206	124	11	>	>	X
ejpam-1206	124	12	0	0	NUM
ejpam-1206	124	13	)	)	PUNCT
ejpam-1206	124	14	,	,	PUNCT
ejpam-1206	124	15	(	(	PUNCT
ejpam-1206	124	16	17	17	NUM
ejpam-1206	124	17	)	)	PUNCT
ejpam-1206	124	18	which	which	PRON
ejpam-1206	124	19	may	may	AUX
ejpam-1206	124	20	be	be	AUX
ejpam-1206	124	21	easily	easily	ADV
ejpam-1206	124	22	verified	verify	VERB
ejpam-1206	124	23	by	by	ADP
ejpam-1206	124	24	expanding	expand	VERB
ejpam-1206	124	25	ezt	ezt	PROPN
ejpam-1206	124	26	as	as	ADP
ejpam-1206	124	27	a	a	DET
ejpam-1206	124	28	maclaurin	maclaurin	NOUN
ejpam-1206	124	29	series	series	NOUN
ejpam-1206	124	30	followed	follow	VERB
ejpam-1206	124	31	by	by	ADP
ejpam-1206	124	32	term	term	NOUN
ejpam-1206	124	33	-	-	PUNCT
ejpam-1206	124	34	by	by	ADP
ejpam-1206	124	35	-	-	PUNCT
ejpam-1206	124	36	term	term	NOUN
ejpam-1206	124	37	integration	integration	NOUN
ejpam-1206	124	38	.	.	PUNCT
ejpam-1206	125	1	in	in	ADP
ejpam-1206	125	2	a	a	DET
ejpam-1206	125	3	similar	similar	ADJ
ejpam-1206	125	4	manner	manner	NOUN
ejpam-1206	125	5	,	,	PUNCT
ejpam-1206	125	6	we	we	PRON
ejpam-1206	125	7	may	may	AUX
ejpam-1206	125	8	establish	establish	VERB
ejpam-1206	125	9	that	that	DET
ejpam-1206	125	10	un	un	PROPN
ejpam-1206	125	11	,	,	PUNCT
ejpam-1206	125	12	p(z	p(z	NOUN
ejpam-1206	125	13	;	;	PUNCT
ejpam-1206	125	14	~ν	~ν	NUM
ejpam-1206	125	15	)	)	PUNCT
ejpam-1206	125	16	=	=	PUNCT
ejpam-1206	125	17	np/2−ϑ	np/2−ϑ	X
ejpam-1206	125	18	∫	∫	PROPN
ejpam-1206	125	19	∞	∞	PROPN
ejpam-1206	125	20	0	0	NUM
ejpam-1206	125	21	.	.	PUNCT
ejpam-1206	125	22	.	.	PUNCT
ejpam-1206	126	1	.	.	PUNCT
ejpam-1206	127	1	∫	∫	PROPN
ejpam-1206	128	1	∞	∞	PROPN
ejpam-1206	128	2	0	0	NUM
ejpam-1206	128	3	t	t	NOUN
ejpam-1206	128	4	ν1−1	ν1−1	ADV
ejpam-1206	128	5	1	1	NUM
ejpam-1206	128	6	.	.	PUNCT
ejpam-1206	128	7	.	.	PUNCT
ejpam-1206	128	8	.	.	PUNCT
ejpam-1206	129	1	t	t	PROPN
ejpam-1206	129	2	νp−1	νp−1	PROPN
ejpam-1206	129	3	p	p	PROPN
ejpam-1206	129	4	ezt1	ezt1	PROPN
ejpam-1206	129	5	...	...	PUNCT
ejpam-1206	130	1	tp	tp	X
ejpam-1206	130	2	exp	exp	NOUN
ejpam-1206	131	1	[	[	X
ejpam-1206	131	2	−(tn	−(tn	PROPN
ejpam-1206	131	3	1	1	NUM
ejpam-1206	131	4	+	+	CCONJ
ejpam-1206	131	5	.	.	PUNCT
ejpam-1206	131	6	.	.	PUNCT
ejpam-1206	132	1	.+	.+	PROPN
ejpam-1206	132	2	tn	tn	NOUN
ejpam-1206	132	3	p)/n	p)/n	PROPN
ejpam-1206	132	4	]	]	PUNCT
ejpam-1206	133	1	d	d	X
ejpam-1206	133	2	t1	t1	NOUN
ejpam-1206	133	3	.	.	PUNCT
ejpam-1206	133	4	.	.	PUNCT
ejpam-1206	133	5	.	.	PUNCT
ejpam-1206	134	1	d	d	NOUN
ejpam-1206	134	2	tp	tp	X
ejpam-1206	134	3	(	(	PUNCT
ejpam-1206	134	4	18	18	NUM
ejpam-1206	134	5	)	)	PUNCT
ejpam-1206	134	6	for	for	ADP
ejpam-1206	134	7	re	re	ADJ
ejpam-1206	134	8	(	(	PUNCT
ejpam-1206	134	9	νr	νr	PROPN
ejpam-1206	134	10	)	)	PUNCT
ejpam-1206	134	11	>	>	X
ejpam-1206	134	12	0	0	NUM
ejpam-1206	134	13	,	,	PUNCT
ejpam-1206	134	14	1≤	1≤	NUM
ejpam-1206	134	15	r	r	NOUN
ejpam-1206	134	16	≤	≤	NOUN
ejpam-1206	134	17	p	p	X
ejpam-1206	134	18	;	;	PUNCT
ejpam-1206	134	19	see	see	VERB
ejpam-1206	134	20	[	[	X
ejpam-1206	134	21	12	12	NUM
ejpam-1206	134	22	,	,	PUNCT
ejpam-1206	134	23	p.	p.	NOUN
ejpam-1206	134	24	133	133	NUM
ejpam-1206	134	25	]	]	PUNCT
ejpam-1206	134	26	.	.	PUNCT
ejpam-1206	135	1	this	this	PRON
ejpam-1206	135	2	integral	integral	ADJ
ejpam-1206	135	3	in	in	ADP
ejpam-1206	135	4	the	the	DET
ejpam-1206	135	5	case	case	NOUN
ejpam-1206	135	6	p	p	X
ejpam-1206	135	7	=	=	SYM
ejpam-1206	135	8	2	2	NUM
ejpam-1206	135	9	was	be	AUX
ejpam-1206	135	10	first	first	ADV
ejpam-1206	135	11	considered	consider	VERB
ejpam-1206	135	12	in	in	ADP
ejpam-1206	135	13	[	[	X
ejpam-1206	135	14	17	17	NUM
ejpam-1206	135	15	]	]	PUNCT
ejpam-1206	135	16	as	as	ADP
ejpam-1206	135	17	the	the	DET
ejpam-1206	135	18	solution	solution	NOUN
ejpam-1206	135	19	of	of	ADP
ejpam-1206	135	20	a	a	DET
ejpam-1206	135	21	certain	certain	ADJ
ejpam-1206	135	22	nth	nth	NOUN
ejpam-1206	135	23	-	-	PUNCT
ejpam-1206	135	24	order	order	NOUN
ejpam-1206	135	25	differential	differential	ADJ
ejpam-1206	135	26	equation	equation	NOUN
ejpam-1206	135	27	.	.	PUNCT
ejpam-1206	136	1	from	from	ADP
ejpam-1206	136	2	(	(	PUNCT
ejpam-1206	136	3	17	17	NUM
ejpam-1206	136	4	)	)	PUNCT
ejpam-1206	136	5	and	and	CCONJ
ejpam-1206	136	6	(	(	PUNCT
ejpam-1206	136	7	18	18	NUM
ejpam-1206	136	8	)	)	PUNCT
ejpam-1206	136	9	,	,	PUNCT
ejpam-1206	136	10	it	it	PRON
ejpam-1206	136	11	then	then	ADV
ejpam-1206	136	12	follows	follow	VERB
ejpam-1206	136	13	from	from	ADP
ejpam-1206	136	14	the	the	DET
ejpam-1206	136	15	definition	definition	NOUN
ejpam-1206	136	16	of	of	ADP
ejpam-1206	136	17	the	the	DET
ejpam-1206	136	18	integrals	integral	NOUN
ejpam-1206	136	19	cn	cn	PROPN
ejpam-1206	136	20	,	,	PUNCT
ejpam-1206	136	21	p(x	p(x	PROPN
ejpam-1206	136	22	;	;	PUNCT
ejpam-1206	136	23	~ν	~ν	NUM
ejpam-1206	136	24	)	)	PUNCT
ejpam-1206	136	25	and	and	CCONJ
ejpam-1206	136	26	sn	sn	PROPN
ejpam-1206	136	27	,	,	PUNCT
ejpam-1206	136	28	p(x	p(x	PROPN
ejpam-1206	136	29	;	;	PUNCT
ejpam-1206	136	30	~ν	~ν	NUM
ejpam-1206	136	31	)	)	PUNCT
ejpam-1206	136	32	in	in	ADP
ejpam-1206	136	33	(	(	PUNCT
ejpam-1206	136	34	3	3	X
ejpam-1206	136	35	)	)	PUNCT
ejpam-1206	136	36	that	that	SCONJ
ejpam-1206	136	37	cn	cn	PROPN
ejpam-1206	136	38	,	,	PUNCT
ejpam-1206	136	39	p	p	PROPN
ejpam-1206	136	40	sn	sn	PROPN
ejpam-1206	136	41	,	,	PUNCT
ejpam-1206	136	42	p	p	X
ejpam-1206	136	43	(	(	PUNCT
ejpam-1206	136	44	x	x	X
ejpam-1206	136	45	;	;	PUNCT
ejpam-1206	136	46	~ν	~ν	NUM
ejpam-1206	136	47	)	)	PUNCT
ejpam-1206	137	1	=	=	PUNCT
ejpam-1206	137	2	ξnϑ−	ξnϑ−	NUM
ejpam-1206	137	3	1	1	NUM
ejpam-1206	137	4	2	2	NUM
ejpam-1206	137	5	p{un	p{un	PROPN
ejpam-1206	137	6	,	,	PUNCT
ejpam-1206	137	7	p(i	p(i	PROPN
ejpam-1206	137	8	x	x	X
ejpam-1206	137	9	;	;	PUNCT
ejpam-1206	137	10	~ν)±	~ν)±	PRON
ejpam-1206	137	11	un	un	PROPN
ejpam-1206	137	12	,	,	PUNCT
ejpam-1206	137	13	p(−i	p(−i	NOUN
ejpam-1206	137	14	x	x	X
ejpam-1206	137	15	;	;	PUNCT
ejpam-1206	137	16	~ν	~ν	NUM
ejpam-1206	137	17	)	)	PUNCT
ejpam-1206	137	18	}	}	PUNCT
ejpam-1206	137	19	,	,	PUNCT
ejpam-1206	137	20	(	(	PUNCT
ejpam-1206	137	21	19	19	NUM
ejpam-1206	137	22	)	)	PUNCT
ejpam-1206	137	23	where	where	SCONJ
ejpam-1206	137	24	ξ	ξ	X
ejpam-1206	137	25	=	=	SYM
ejpam-1206	137	26	2−1	2−1	NUM
ejpam-1206	137	27	for	for	ADP
ejpam-1206	137	28	cn	cn	PROPN
ejpam-1206	137	29	,	,	PUNCT
ejpam-1206	137	30	p(x	p(x	PROPN
ejpam-1206	137	31	;	;	PUNCT
ejpam-1206	137	32	~ν	~ν	NUM
ejpam-1206	137	33	)	)	PUNCT
ejpam-1206	137	34	and	and	CCONJ
ejpam-1206	137	35	ξ	ξ	X
ejpam-1206	137	36	=	=	SYM
ejpam-1206	137	37	(	(	PUNCT
ejpam-1206	137	38	2i)−1	2i)−1	NOUN
ejpam-1206	137	39	for	for	ADP
ejpam-1206	137	40	sn	sn	PROPN
ejpam-1206	137	41	,	,	PUNCT
ejpam-1206	137	42	p(x	p(x	PROPN
ejpam-1206	137	43	;	;	PUNCT
ejpam-1206	137	44	~ν	~ν	NUM
ejpam-1206	137	45	)	)	PUNCT
ejpam-1206	137	46	.	.	PUNCT
ejpam-1206	138	1	from	from	ADP
ejpam-1206	138	2	(	(	PUNCT
ejpam-1206	138	3	8)	8)	NUM
ejpam-1206	138	4	,	,	PUNCT
ejpam-1206	138	5	we	we	PRON
ejpam-1206	138	6	obtain	obtain	VERB
ejpam-1206	138	7	the	the	DET
ejpam-1206	138	8	series	series	NOUN
ejpam-1206	138	9	representations	representation	NOUN
ejpam-1206	138	10	cn	cn	PROPN
ejpam-1206	138	11	,	,	PUNCT
ejpam-1206	138	12	p	p	PROPN
ejpam-1206	138	13	sn	sn	PROPN
ejpam-1206	138	14	,	,	PUNCT
ejpam-1206	138	15	p	p	X
ejpam-1206	138	16	(	(	PUNCT
ejpam-1206	138	17	x	x	X
ejpam-1206	138	18	;	;	PUNCT
ejpam-1206	138	19	~ν	~ν	NUM
ejpam-1206	138	20	)	)	PUNCT
ejpam-1206	139	1	=	=	PUNCT
ejpam-1206	139	2	nϑ−p/2	nϑ−p/2	ADJ
ejpam-1206	139	3	∞	∞	PROPN
ejpam-1206	139	4	∑	∑	PUNCT
ejpam-1206	139	5	k=0	k=0	PROPN
ejpam-1206	139	6	(	(	PUNCT
ejpam-1206	139	7	np	np	INTJ
ejpam-1206	139	8	/	/	SYM
ejpam-1206	139	9	nx)k	nx)k	PROPN
ejpam-1206	139	10	k	k	NOUN
ejpam-1206	139	11	!	!	PUNCT
ejpam-1206	140	1	p	p	X
ejpam-1206	140	2	∏	∏	PROPN
ejpam-1206	140	3	r=1	r=1	PROPN
ejpam-1206	140	4	γ	γ	X
ejpam-1206	140	5	�	�	PROPN
ejpam-1206	140	6	k+	k+	NOUN
ejpam-1206	140	7	νr	νr	ADP
ejpam-1206	140	8	n	n	PRON
ejpam-1206	140	9	�	�	PROPN
ejpam-1206	140	10	cos	cos	PROPN
ejpam-1206	140	11	sin	sin	PROPN
ejpam-1206	140	12	(	(	PUNCT
ejpam-1206	140	13	1	1	NUM
ejpam-1206	140	14	2	2	NUM
ejpam-1206	140	15	πk	πk	NOUN
ejpam-1206	140	16	)	)	PUNCT
ejpam-1206	140	17	.	.	PUNCT
ejpam-1206	141	1	(	(	PUNCT
ejpam-1206	141	2	20	20	NUM
ejpam-1206	141	3	)	)	PUNCT
ejpam-1206	141	4	as	as	SCONJ
ejpam-1206	141	5	these	these	DET
ejpam-1206	141	6	integrals	integral	NOUN
ejpam-1206	141	7	are	be	AUX
ejpam-1206	141	8	respectively	respectively	ADV
ejpam-1206	141	9	even	even	ADV
ejpam-1206	141	10	and	and	CCONJ
ejpam-1206	141	11	odd	odd	ADJ
ejpam-1206	141	12	functions	function	NOUN
ejpam-1206	141	13	of	of	ADP
ejpam-1206	141	14	x	x	X
ejpam-1206	141	15	,	,	PUNCT
ejpam-1206	141	16	it	it	PRON
ejpam-1206	141	17	is	be	AUX
ejpam-1206	141	18	sufficient	sufficient	ADJ
ejpam-1206	141	19	to	to	PART
ejpam-1206	141	20	restrict	restrict	VERB
ejpam-1206	141	21	our	our	PRON
ejpam-1206	141	22	attention	attention	NOUN
ejpam-1206	141	23	to	to	ADP
ejpam-1206	141	24	the	the	DET
ejpam-1206	141	25	sector	sector	NOUN
ejpam-1206	141	26	|arg	|arg	NOUN
ejpam-1206	141	27	x	x	PROPN
ejpam-1206	141	28	|	|	ADV
ejpam-1206	141	29	≤	≤	NUM
ejpam-1206	141	30	1	1	NUM
ejpam-1206	141	31	2	2	NUM
ejpam-1206	141	32	π	π	NOUN
ejpam-1206	141	33	.	.	PUNCT
ejpam-1206	142	1	we	we	PRON
ejpam-1206	142	2	now	now	ADV
ejpam-1206	142	3	introduce	introduce	VERB
ejpam-1206	142	4	the	the	DET
ejpam-1206	142	5	formal	formal	ADJ
ejpam-1206	142	6	asymptotic	asymptotic	ADJ
ejpam-1206	142	7	expansions	expansion	NOUN
ejpam-1206	142	8	e±	e±	ADV
ejpam-1206	142	9	:	:	PUNCT
ejpam-1206	142	10	=	=	SYM
ejpam-1206	142	11	κ−1/2−ϑ	κ−1/2−ϑ	PROPN
ejpam-1206	142	12	�	�	PROPN
ejpam-1206	142	13	2π	2π	PROPN
ejpam-1206	142	14	n	n	PRON
ejpam-1206	142	15	�	�	NOUN
ejpam-1206	142	16	p/2	p/2	NOUN
ejpam-1206	142	17	x	x	SYM
ejpam-1206	142	18	ϑ	ϑ	X
ejpam-1206	142	19	exp	exp	NOUN
ejpam-1206	142	20	(	(	PUNCT
ejpam-1206	142	21	x	x	NOUN
ejpam-1206	142	22	e±πi/(2κ	e±πi/(2κ	NUM
ejpam-1206	142	23	)	)	PUNCT
ejpam-1206	142	24	)	)	PUNCT
ejpam-1206	143	1	∞	∞	NUM
ejpam-1206	143	2	∑	∑	PUNCT
ejpam-1206	143	3	j=0	j=0	PROPN
ejpam-1206	143	4	c	c	PROPN
ejpam-1206	143	5	jx	jx	PROPN
ejpam-1206	143	6	−	−	PROPN
ejpam-1206	143	7	j	j	PROPN
ejpam-1206	143	8	e±πi(ϑ−	e±πi(ϑ−	ADP
ejpam-1206	143	9	j)/(2κ	j)/(2κ	PROPN
ejpam-1206	143	10	)	)	PUNCT
ejpam-1206	143	11	,	,	PUNCT
ejpam-1206	143	12	(	(	PUNCT
ejpam-1206	143	13	21	21	NUM
ejpam-1206	143	14	)	)	PUNCT
ejpam-1206	143	15	hc	hc	PROPN
ejpam-1206	143	16	,	,	PUNCT
ejpam-1206	143	17	s	s	PART
ejpam-1206	143	18	:	:	PUNCT
ejpam-1206	143	19	=	=	PUNCT
ejpam-1206	143	20	n1+ϑ−	n1+ϑ−	NOUN
ejpam-1206	143	21	1	1	NUM
ejpam-1206	143	22	2	2	NUM
ejpam-1206	143	23	p	p	NOUN
ejpam-1206	143	24	p	p	X
ejpam-1206	143	25	∑	∑	PUNCT
ejpam-1206	143	26	r=1	r=1	PROPN
ejpam-1206	143	27	(	(	PUNCT
ejpam-1206	143	28	np	np	NOUN
ejpam-1206	143	29	/	/	SYM
ejpam-1206	143	30	n	n	NOUN
ejpam-1206	143	31	x)−νr	x)−νr	NOUN
ejpam-1206	144	1	t	t	NOUN
ejpam-1206	144	2	(	(	PUNCT
ejpam-1206	144	3	c	c	X
ejpam-1206	144	4	,	,	PUNCT
ejpam-1206	144	5	s	s	NOUN
ejpam-1206	144	6	)	)	PUNCT
ejpam-1206	144	7	n	n	CCONJ
ejpam-1206	144	8	,	,	PUNCT
ejpam-1206	144	9	p	p	X
ejpam-1206	144	10	(	(	PUNCT
ejpam-1206	144	11	x	x	X
ejpam-1206	144	12	;	;	PUNCT
ejpam-1206	144	13	~ν	~ν	NUM
ejpam-1206	144	14	)	)	PUNCT
ejpam-1206	144	15	,	,	PUNCT
ejpam-1206	144	16	(	(	PUNCT
ejpam-1206	144	17	22	22	NUM
ejpam-1206	144	18	)	)	PUNCT
ejpam-1206	144	19	where	where	SCONJ
ejpam-1206	144	20	the	the	DET
ejpam-1206	144	21	variable	variable	NOUN
ejpam-1206	144	22	x	x	PUNCT
ejpam-1206	144	23	is	be	AUX
ejpam-1206	144	24	defined	define	VERB
ejpam-1206	144	25	by	by	ADP
ejpam-1206	144	26	x	x	X
ejpam-1206	144	27	:	:	PUNCT
ejpam-1206	144	28	=	=	PUNCT
ejpam-1206	144	29	κx1	κx1	PROPN
ejpam-1206	144	30	/	/	SYM
ejpam-1206	144	31	κ	κ	NOUN
ejpam-1206	144	32	,	,	PUNCT
ejpam-1206	144	33	t	t	PROPN
ejpam-1206	144	34	(	(	PUNCT
ejpam-1206	144	35	c	c	X
ejpam-1206	144	36	,	,	PUNCT
ejpam-1206	144	37	s	s	NOUN
ejpam-1206	144	38	)	)	PUNCT
ejpam-1206	144	39	n	n	CCONJ
ejpam-1206	144	40	,	,	PUNCT
ejpam-1206	144	41	p	p	X
ejpam-1206	144	42	(	(	PUNCT
ejpam-1206	144	43	x	x	X
ejpam-1206	144	44	;	;	PUNCT
ejpam-1206	144	45	~ν	~ν	NUM
ejpam-1206	144	46	)	)	PUNCT
ejpam-1206	144	47	:	:	PUNCT
ejpam-1206	145	1	=	=	SYM
ejpam-1206	145	2	∞	∞	NUM
ejpam-1206	145	3	∑	∑	PUNCT
ejpam-1206	145	4	k=0	k=0	PROPN
ejpam-1206	145	5	(	(	PUNCT
ejpam-1206	145	6	−)k	−)k	PROPN
ejpam-1206	145	7	k	k	PROPN
ejpam-1206	145	8	!	!	PUNCT
ejpam-1206	145	9	γ(nk+	γ(nk+	PROPN
ejpam-1206	145	10	νr	νr	X
ejpam-1206	145	11	)	)	PUNCT
ejpam-1206	145	12	p	p	X
ejpam-1206	145	13	∏	∏	NUM
ejpam-1206	145	14	j=1	j=1	NOUN
ejpam-1206	145	15	′	′	NUM
ejpam-1206	145	16	γ	γ	PROPN
ejpam-1206	145	17	�	�	PROPN
ejpam-1206	145	18	ν	ν	PROPN
ejpam-1206	145	19	j	j	PROPN
ejpam-1206	145	20	−	−	PROPN
ejpam-1206	145	21	νr	νr	ADP
ejpam-1206	146	1	n	n	PRON
ejpam-1206	146	2	−	−	PROPN
ejpam-1206	146	3	k	k	PROPN
ejpam-1206	146	4	�	�	PROPN
ejpam-1206	146	5	(	(	PUNCT
ejpam-1206	146	6	np	np	PROPN
ejpam-1206	146	7	/	/	SYM
ejpam-1206	146	8	n	n	NOUN
ejpam-1206	146	9	x)−nk	x)−nk	PUNCT
ejpam-1206	147	1	cos	cos	ADP
ejpam-1206	147	2	sin	sin	NOUN
ejpam-1206	147	3	1	1	NUM
ejpam-1206	147	4	2	2	NUM
ejpam-1206	147	5	π(nk+	π(nk+	NOUN
ejpam-1206	147	6	νr	νr	NOUN
ejpam-1206	147	7	)	)	PUNCT
ejpam-1206	147	8	(	(	PUNCT
ejpam-1206	147	9	23	23	NUM
ejpam-1206	147	10	)	)	PUNCT
ejpam-1206	147	11	and	and	CCONJ
ejpam-1206	147	12	the	the	DET
ejpam-1206	147	13	suband	suband	NOUN
ejpam-1206	147	14	superscripts	superscript	NOUN
ejpam-1206	147	15	c	c	X
ejpam-1206	147	16	,	,	PUNCT
ejpam-1206	147	17	s	s	PRON
ejpam-1206	147	18	refer	refer	NOUN
ejpam-1206	147	19	to	to	ADP
ejpam-1206	147	20	the	the	DET
ejpam-1206	147	21	expansion	expansion	NOUN
ejpam-1206	147	22	with	with	ADP
ejpam-1206	147	23	cosine	cosine	NOUN
ejpam-1206	147	24	and	and	CCONJ
ejpam-1206	147	25	sine	sine	NOUN
ejpam-1206	147	26	,	,	PUNCT
ejpam-1206	147	27	respectively	respectively	ADV
ejpam-1206	147	28	.	.	PUNCT
ejpam-1206	148	1	in	in	ADP
ejpam-1206	148	2	addition	addition	NOUN
ejpam-1206	148	3	,	,	PUNCT
ejpam-1206	148	4	we	we	PRON
ejpam-1206	148	5	introduce	introduce	VERB
ejpam-1206	148	6	the	the	DET
ejpam-1206	148	7	expansions	expansion	NOUN
ejpam-1206	148	8	ec	ec	X
ejpam-1206	148	9	:	:	PUNCT
ejpam-1206	148	10	=	=	SYM
ejpam-1206	148	11	1	1	NUM
ejpam-1206	148	12	2	2	NUM
ejpam-1206	148	13	(	(	PUNCT
ejpam-1206	148	14	e+	e+	X
ejpam-1206	148	15	+	+	CCONJ
ejpam-1206	148	16	e−	e−	NOUN
ejpam-1206	148	17	)	)	PUNCT
ejpam-1206	148	18	,	,	PUNCT
ejpam-1206	148	19	es	es	ADP
ejpam-1206	148	20	:	:	PUNCT
ejpam-1206	148	21	=	=	SYM
ejpam-1206	148	22	1	1	NUM
ejpam-1206	148	23	2i	2i	NUM
ejpam-1206	148	24	(	(	PUNCT
ejpam-1206	148	25	e+−	e+−	NUM
ejpam-1206	148	26	e−	e−	NOUN
ejpam-1206	148	27	)	)	PUNCT
ejpam-1206	148	28	,	,	PUNCT
ejpam-1206	148	29	r.	r.	PROPN
ejpam-1206	148	30	paris	paris	PROPN
ejpam-1206	148	31	/	/	SYM
ejpam-1206	148	32	eur	eur	PROPN
ejpam-1206	148	33	.	.	PUNCT
ejpam-1206	149	1	j.	j.	PROPN
ejpam-1206	149	2	pure	pure	PROPN
ejpam-1206	149	3	appl	appl	PROPN
ejpam-1206	149	4	.	.	PROPN
ejpam-1206	149	5	math	math	PROPN
ejpam-1206	149	6	,	,	PUNCT
ejpam-1206	149	7	5	5	NUM
ejpam-1206	149	8	(	(	PUNCT
ejpam-1206	149	9	2012	2012	NUM
ejpam-1206	149	10	)	)	PUNCT
ejpam-1206	149	11	,	,	PUNCT
ejpam-1206	149	12	260	260	NUM
ejpam-1206	149	13	-	-	SYM
ejpam-1206	149	14	281	281	NUM
ejpam-1206	149	15	267	267	NUM
ejpam-1206	150	1	so	so	SCONJ
ejpam-1206	150	2	that	that	SCONJ
ejpam-1206	150	3	ec	ec	PROPN
ejpam-1206	150	4	,	,	PUNCT
ejpam-1206	150	5	s	s	PART
ejpam-1206	150	6	=	=	SYM
ejpam-1206	150	7	κ	κ	PART
ejpam-1206	150	8	−1/2−ϑ	−1/2−ϑ	X
ejpam-1206	150	9	�	�	PROPN
ejpam-1206	150	10	2π	2π	PROPN
ejpam-1206	150	11	n	n	PRON
ejpam-1206	150	12	�	�	NOUN
ejpam-1206	150	13	p/2	p/2	NOUN
ejpam-1206	150	14	x	x	SYM
ejpam-1206	150	15	ϑ	ϑ	PRON
ejpam-1206	150	16	exp	exp	PRON
ejpam-1206	150	17	�	�	PROPN
ejpam-1206	150	18	x	x	PUNCT
ejpam-1206	150	19	cos	cos	PROPN
ejpam-1206	150	20	π	π	PROPN
ejpam-1206	150	21	2κ	2κ	PROPN
ejpam-1206	150	22	�	�	PROPN
ejpam-1206	150	23	∞	∞	PROPN
ejpam-1206	150	24	∑	∑	PUNCT
ejpam-1206	150	25	j=0	j=0	PROPN
ejpam-1206	150	26	c	c	PROPN
ejpam-1206	150	27	jx	jx	PROPN
ejpam-1206	151	1	−	−	PROPN
ejpam-1206	151	2	j	j	PROPN
ejpam-1206	151	3	cos	cos	PROPN
ejpam-1206	151	4	sin	sin	PROPN
ejpam-1206	151	5	�	�	PROPN
ejpam-1206	151	6	x	x	PUNCT
ejpam-1206	151	7	sin	sin	NOUN
ejpam-1206	151	8	π	π	X
ejpam-1206	151	9	2κ	2κ	NOUN
ejpam-1206	152	1	+	+	CCONJ
ejpam-1206	152	2	π	π	PROPN
ejpam-1206	152	3	2κ	2κ	NOUN
ejpam-1206	152	4	(	(	PUNCT
ejpam-1206	152	5	ϑ−	ϑ−	PROPN
ejpam-1206	152	6	j	j	NOUN
ejpam-1206	152	7	)	)	PUNCT
ejpam-1206	152	8	�	�	PROPN
ejpam-1206	152	9	.	.	PUNCT
ejpam-1206	153	1	(	(	PUNCT
ejpam-1206	153	2	24	24	NUM
ejpam-1206	153	3	)	)	PUNCT
ejpam-1206	153	4	then	then	ADV
ejpam-1206	153	5	from	from	ADP
ejpam-1206	153	6	theorem	theorem	NOUN
ejpam-1206	153	7	1	1	NUM
ejpam-1206	153	8	,	,	PUNCT
ejpam-1206	153	9	the	the	DET
ejpam-1206	153	10	asymptotic	asymptotic	ADJ
ejpam-1206	153	11	expansion	expansion	NOUN
ejpam-1206	153	12	of	of	ADP
ejpam-1206	153	13	cn	cn	PROPN
ejpam-1206	153	14	,	,	PUNCT
ejpam-1206	153	15	p(x	p(x	PROPN
ejpam-1206	153	16	;	;	PUNCT
ejpam-1206	153	17	~ν	~ν	NUM
ejpam-1206	153	18	)	)	PUNCT
ejpam-1206	153	19	and	and	CCONJ
ejpam-1206	153	20	sn	sn	PROPN
ejpam-1206	153	21	,	,	PUNCT
ejpam-1206	153	22	p(x	p(x	PROPN
ejpam-1206	153	23	;	;	PUNCT
ejpam-1206	153	24	~ν	~ν	NUM
ejpam-1206	153	25	)	)	PUNCT
ejpam-1206	153	26	when	when	SCONJ
ejpam-1206	153	27	p	p	X
ejpam-1206	153	28	/	/	SYM
ejpam-1206	153	29	n	n	CCONJ
ejpam-1206	153	30	≤	≤	NUM
ejpam-1206	153	31	1	1	NUM
ejpam-1206	153	32	2	2	NUM
ejpam-1206	153	33	(	(	PUNCT
ejpam-1206	153	34	κ	κ	X
ejpam-1206	153	35	≥	≥	NOUN
ejpam-1206	153	36	1	1	NUM
ejpam-1206	153	37	2	2	NUM
ejpam-1206	153	38	)	)	PUNCT
ejpam-1206	153	39	is	be	AUX
ejpam-1206	153	40	cn	cn	PROPN
ejpam-1206	153	41	,	,	PUNCT
ejpam-1206	153	42	p	p	PROPN
ejpam-1206	153	43	sn	sn	PROPN
ejpam-1206	153	44	,	,	PUNCT
ejpam-1206	153	45	p	p	X
ejpam-1206	153	46	(	(	PUNCT
ejpam-1206	153	47	x	x	X
ejpam-1206	153	48	;	;	PUNCT
ejpam-1206	153	49	~ν)∼	~ν)∼	NUM
ejpam-1206	153	50			PROPN
ejpam-1206	153	51			VERB
ejpam-1206	153	52			NOUN
ejpam-1206	153	53	hc	hc	PROPN
ejpam-1206	153	54	,	,	PUNCT
ejpam-1206	153	55	s	s	PART
ejpam-1206	153	56	+	+	CCONJ
ejpam-1206	153	57	ec	ec	PROPN
ejpam-1206	153	58	,	,	PUNCT
ejpam-1206	153	59	s	s	AUX
ejpam-1206	153	60	|arg	|arg	NOUN
ejpam-1206	153	61	x	x	PROPN
ejpam-1206	153	62	|	|	ADV
ejpam-1206	153	63	≤	≤	ADV
ejpam-1206	153	64	π(1	π(1	X
ejpam-1206	153	65	2	2	NUM
ejpam-1206	153	66	−	−	NOUN
ejpam-1206	153	67	p	p	PROPN
ejpam-1206	153	68	n	n	PROPN
ejpam-1206	153	69	)	)	PUNCT
ejpam-1206	153	70	hc	hc	PROPN
ejpam-1206	153	71	,	,	PUNCT
ejpam-1206	153	72	s	s	VERB
ejpam-1206	153	73	±ξe−	±ξe−	NOUN
ejpam-1206	153	74	π(1	π(1	PROPN
ejpam-1206	153	75	2	2	NUM
ejpam-1206	153	76	−	−	NOUN
ejpam-1206	153	77	p	p	NOUN
ejpam-1206	153	78	n	n	NOUN
ejpam-1206	153	79	)	)	PUNCT
ejpam-1206	153	80	<	<	X
ejpam-1206	153	81	arg	arg	NOUN
ejpam-1206	153	82	x	x	SYM
ejpam-1206	153	83	≤	≤	NUM
ejpam-1206	153	84	1	1	NUM
ejpam-1206	153	85	2	2	NUM
ejpam-1206	153	86	π	π	SYM
ejpam-1206	153	87	hc	hc	PROPN
ejpam-1206	153	88	,	,	PUNCT
ejpam-1206	153	89	s	s	PART
ejpam-1206	153	90	+	+	ADJ
ejpam-1206	153	91	ξe+	ξe+	ADJ
ejpam-1206	153	92	−1	−1	NOUN
ejpam-1206	153	93	2	2	NUM
ejpam-1206	153	94	π	π	PROPN
ejpam-1206	153	95	≤	≤	NUM
ejpam-1206	153	96	arg	arg	NOUN
ejpam-1206	153	97	x	x	X
ejpam-1206	153	98	<	<	X
ejpam-1206	153	99	π(1	π(1	X
ejpam-1206	153	100	2	2	NUM
ejpam-1206	153	101	−	−	NOUN
ejpam-1206	153	102	p	p	NOUN
ejpam-1206	153	103	n	n	NOUN
ejpam-1206	153	104	)	)	PUNCT
ejpam-1206	153	105	(	(	PUNCT
ejpam-1206	153	106	25	25	NUM
ejpam-1206	153	107	)	)	PUNCT
ejpam-1206	153	108	and	and	CCONJ
ejpam-1206	153	109	when	when	SCONJ
ejpam-1206	153	110	p	p	X
ejpam-1206	153	111	/	/	SYM
ejpam-1206	153	112	n	n	CCONJ
ejpam-1206	153	113	>	>	X
ejpam-1206	153	114	1	1	NUM
ejpam-1206	153	115	2	2	NUM
ejpam-1206	153	116	(	(	PUNCT
ejpam-1206	153	117	κ	κ	X
ejpam-1206	153	118	<	<	X
ejpam-1206	153	119	1	1	NUM
ejpam-1206	153	120	2	2	NUM
ejpam-1206	153	121	)	)	PUNCT
ejpam-1206	153	122	cn	cn	PROPN
ejpam-1206	153	123	,	,	PUNCT
ejpam-1206	153	124	p	p	PROPN
ejpam-1206	153	125	sn	sn	PROPN
ejpam-1206	153	126	,	,	PUNCT
ejpam-1206	153	127	p	p	X
ejpam-1206	153	128	(	(	PUNCT
ejpam-1206	153	129	x	x	X
ejpam-1206	153	130	;	;	PUNCT
ejpam-1206	153	131	~ν)∼	~ν)∼	NUM
ejpam-1206	153	132			PROPN
ejpam-1206	153	133			VERB
ejpam-1206	153	134			NOUN
ejpam-1206	153	135	hc	hc	PROPN
ejpam-1206	153	136	,	,	PUNCT
ejpam-1206	153	137	s	s	PART
ejpam-1206	153	138	|arg	|arg	NOUN
ejpam-1206	153	139	x	x	PROPN
ejpam-1206	153	140	|	|	ADV
ejpam-1206	153	141	≤	≤	PUNCT
ejpam-1206	153	142	π	π	PROPN
ejpam-1206	153	143	(	(	PUNCT
ejpam-1206	153	144	p	p	NOUN
ejpam-1206	153	145	n	n	CCONJ
ejpam-1206	153	146	−	−	NUM
ejpam-1206	153	147	1	1	NUM
ejpam-1206	153	148	2	2	NUM
ejpam-1206	153	149	)	)	PUNCT
ejpam-1206	153	150	hc	hc	PROPN
ejpam-1206	153	151	,	,	PUNCT
ejpam-1206	153	152	s	s	VERB
ejpam-1206	153	153	±ξe−	±ξe−	PROPN
ejpam-1206	153	154	π	π	NOUN
ejpam-1206	153	155	(	(	PUNCT
ejpam-1206	153	156	p	p	NOUN
ejpam-1206	153	157	n	n	CCONJ
ejpam-1206	153	158	−	−	NUM
ejpam-1206	153	159	1	1	NUM
ejpam-1206	153	160	2	2	NUM
ejpam-1206	153	161	)	)	PUNCT
ejpam-1206	153	162	<	<	X
ejpam-1206	153	163	arg	arg	NOUN
ejpam-1206	153	164	x	x	SYM
ejpam-1206	153	165	≤	≤	NUM
ejpam-1206	153	166	1	1	NUM
ejpam-1206	153	167	2	2	NUM
ejpam-1206	153	168	π	π	SYM
ejpam-1206	153	169	hc	hc	PROPN
ejpam-1206	153	170	,	,	PUNCT
ejpam-1206	153	171	s	s	PART
ejpam-1206	153	172	+	+	ADJ
ejpam-1206	153	173	ξe+	ξe+	ADJ
ejpam-1206	153	174	−1	−1	NOUN
ejpam-1206	153	175	2	2	NUM
ejpam-1206	153	176	π	π	PROPN
ejpam-1206	153	177	≤	≤	NUM
ejpam-1206	153	178	arg	arg	NOUN
ejpam-1206	153	179	x	x	X
ejpam-1206	153	180	<	<	X
ejpam-1206	153	181	π	π	X
ejpam-1206	153	182	(	(	PUNCT
ejpam-1206	153	183	p	p	NOUN
ejpam-1206	153	184	n	n	CCONJ
ejpam-1206	153	185	−	−	NUM
ejpam-1206	153	186	1	1	NUM
ejpam-1206	153	187	2	2	NUM
ejpam-1206	153	188	)	)	PUNCT
ejpam-1206	153	189	(	(	PUNCT
ejpam-1206	153	190	26	26	NUM
ejpam-1206	153	191	)	)	PUNCT
ejpam-1206	153	192	as	as	ADP
ejpam-1206	153	193	x	x	X
ejpam-1206	153	194	→	→	SYM
ejpam-1206	153	195	∞	∞	NUM
ejpam-1206	153	196	;	;	PUNCT
ejpam-1206	153	197	compare	compare	VERB
ejpam-1206	153	198	[	[	X
ejpam-1206	153	199	12	12	NUM
ejpam-1206	153	200	,	,	PUNCT
ejpam-1206	153	201	§	§	NOUN
ejpam-1206	153	202	3.8.2	3.8.2	NUM
ejpam-1206	153	203	]	]	PUNCT
ejpam-1206	153	204	.	.	PUNCT
ejpam-1206	154	1	the	the	DET
ejpam-1206	154	2	asymptotic	asymptotic	ADJ
ejpam-1206	154	3	structure	structure	NOUN
ejpam-1206	154	4	of	of	ADP
ejpam-1206	154	5	cn	cn	PROPN
ejpam-1206	154	6	,	,	PUNCT
ejpam-1206	154	7	p(x	p(x	PROPN
ejpam-1206	154	8	;	;	PUNCT
ejpam-1206	154	9	~ν	~ν	NUM
ejpam-1206	154	10	)	)	PUNCT
ejpam-1206	154	11	and	and	CCONJ
ejpam-1206	154	12	sn	sn	PROPN
ejpam-1206	154	13	,	,	PUNCT
ejpam-1206	154	14	p(x	p(x	PROPN
ejpam-1206	154	15	;	;	PUNCT
ejpam-1206	154	16	~ν	~ν	NUM
ejpam-1206	154	17	)	)	PUNCT
ejpam-1206	154	18	as	as	ADP
ejpam-1206	154	19	|x	|x	NOUN
ejpam-1206	154	20	|	|	ADV
ejpam-1206	154	21	→	→	SYM
ejpam-1206	154	22	∞	∞	PROPN
ejpam-1206	154	23	is	be	AUX
ejpam-1206	154	24	summarised	summarise	VERB
ejpam-1206	154	25	in	in	ADP
ejpam-1206	154	26	fig	fig	NOUN
ejpam-1206	154	27	.	.	PUNCT
ejpam-1206	155	1	2	2	NUM
ejpam-1206	155	2	.	.	X
ejpam-1206	155	3	when	when	SCONJ
ejpam-1206	155	4	κ	κ	X
ejpam-1206	155	5	≥	≥	NOUN
ejpam-1206	155	6	1	1	NUM
ejpam-1206	155	7	2	2	NUM
ejpam-1206	155	8	,	,	PUNCT
ejpam-1206	155	9	this	this	PRON
ejpam-1206	155	10	is	be	AUX
ejpam-1206	155	11	seen	see	VERB
ejpam-1206	155	12	to	to	PART
ejpam-1206	155	13	consist	consist	VERB
ejpam-1206	155	14	of	of	ADP
ejpam-1206	155	15	an	an	DET
ejpam-1206	155	16	algebraic	algebraic	ADJ
ejpam-1206	155	17	and	and	CCONJ
ejpam-1206	155	18	a	a	DET
ejpam-1206	155	19	subdominant	subdominant	ADJ
ejpam-1206	155	20	exponentially	exponentially	ADV
ejpam-1206	155	21	small	small	ADJ
ejpam-1206	155	22	expansion	expansion	NOUN
ejpam-1206	155	23	in	in	ADP
ejpam-1206	155	24	the	the	DET
ejpam-1206	155	25	sectors	sector	NOUN
ejpam-1206	155	26	|arg	|arg	NOUN
ejpam-1206	155	27	(	(	PUNCT
ejpam-1206	155	28	±x)|	±x)|	X
ejpam-1206	155	29	<	<	X
ejpam-1206	155	30	πp/(2n	πp/(2n	NOUN
ejpam-1206	155	31	)	)	PUNCT
ejpam-1206	155	32	and	and	CCONJ
ejpam-1206	155	33	an	an	DET
ejpam-1206	155	34	exponentially	exponentially	ADV
ejpam-1206	155	35	large	large	ADJ
ejpam-1206	155	36	expansion	expansion	NOUN
ejpam-1206	155	37	(	(	PUNCT
ejpam-1206	155	38	with	with	ADP
ejpam-1206	155	39	a	a	DET
ejpam-1206	155	40	subdominant	subdominant	ADJ
ejpam-1206	155	41	algebraic	algebraic	ADJ
ejpam-1206	155	42	expansion	expansion	NOUN
ejpam-1206	155	43	)	)	PUNCT
ejpam-1206	155	44	in	in	ADP
ejpam-1206	155	45	the	the	DET
ejpam-1206	155	46	sectors	sector	NOUN
ejpam-1206	155	47	|arg	|arg	NOUN
ejpam-1206	155	48	(	(	PUNCT
ejpam-1206	155	49	±i	±i	PROPN
ejpam-1206	155	50	x)|	x)|	PROPN
ejpam-1206	155	51	<	<	X
ejpam-1206	155	52	1	1	NUM
ejpam-1206	155	53	2	2	NUM
ejpam-1206	155	54	πκ	πκ	NOUN
ejpam-1206	155	55	.	.	PUNCT
ejpam-1206	156	1	when	when	SCONJ
ejpam-1206	156	2	κ	κ	X
ejpam-1206	156	3	<	<	X
ejpam-1206	156	4	1	1	NUM
ejpam-1206	156	5	2	2	NUM
ejpam-1206	156	6	,	,	PUNCT
ejpam-1206	156	7	there	there	PRON
ejpam-1206	156	8	is	be	VERB
ejpam-1206	156	9	a	a	DET
ejpam-1206	156	10	purely	purely	ADV
ejpam-1206	156	11	algebraic	algebraic	ADJ
ejpam-1206	156	12	expansion	expansion	NOUN
ejpam-1206	156	13	in	in	ADP
ejpam-1206	156	14	the	the	DET
ejpam-1206	156	15	sectors	sector	NOUN
ejpam-1206	156	16	|arg	|arg	NOUN
ejpam-1206	156	17	(	(	PUNCT
ejpam-1206	156	18	±x)|	±x)|	X
ejpam-1206	156	19	<	<	X
ejpam-1206	156	20	π(p	π(p	PROPN
ejpam-1206	156	21	/	/	SYM
ejpam-1206	156	22	n	n	CCONJ
ejpam-1206	156	23	−	−	PROPN
ejpam-1206	156	24	1	1	NUM
ejpam-1206	156	25	2	2	NUM
ejpam-1206	156	26	)	)	PUNCT
ejpam-1206	156	27	and	and	CCONJ
ejpam-1206	156	28	an	an	DET
ejpam-1206	156	29	exponentially	exponentially	ADV
ejpam-1206	156	30	large	large	ADJ
ejpam-1206	156	31	(	(	PUNCT
ejpam-1206	156	32	with	with	ADP
ejpam-1206	156	33	a	a	DET
ejpam-1206	156	34	subdominant	subdominant	ADJ
ejpam-1206	156	35	algebraic	algebraic	ADJ
ejpam-1206	156	36	expansion	expansion	NOUN
ejpam-1206	156	37	)	)	PUNCT
ejpam-1206	156	38	in	in	ADP
ejpam-1206	156	39	the	the	DET
ejpam-1206	156	40	sectors	sector	NOUN
ejpam-1206	156	41	|arg	|arg	NOUN
ejpam-1206	156	42	(	(	PUNCT
ejpam-1206	156	43	±i	±i	PROPN
ejpam-1206	156	44	x)|	x)|	PROPN
ejpam-1206	156	45	<	<	X
ejpam-1206	156	46	πκ	πκ	NOUN
ejpam-1206	156	47	.	.	PUNCT
ejpam-1206	156	48	algebraic	algebraic	PROPN
ejpam-1206	156	49	+	+	CCONJ
ejpam-1206	156	50	exponentially	exponentially	ADV
ejpam-1206	156	51	small	small	ADJ
ejpam-1206	156	52	exponentially	exponentially	ADV
ejpam-1206	156	53	large	large	ADJ
ejpam-1206	156	54	algebraic	algebraic	ADJ
ejpam-1206	156	55	+	+	CCONJ
ejpam-1206	156	56	exponentially	exponentially	ADV
ejpam-1206	156	57	small	small	ADJ
ejpam-1206	156	58	exponentially	exponentially	ADV
ejpam-1206	156	59	large	large	ADJ
ejpam-1206	156	60	π	π	PROPN
ejpam-1206	156	61	−π	−π	ADJ
ejpam-1206	156	62	p/(2n	p/(2n	NOUN
ejpam-1206	156	63	)	)	PUNCT
ejpam-1206	156	64	p/(2n	p/(2n	NOUN
ejpam-1206	156	65	)	)	PUNCT
ejpam-1206	156	66	(	(	PUNCT
ejpam-1206	156	67	a	a	X
ejpam-1206	156	68	)	)	PUNCT
ejpam-1206	156	69	κ≥	κ≥	NOUN
ejpam-1206	156	70	1	1	NUM
ejpam-1206	156	71	2	2	NUM
ejpam-1206	156	72	algebraic	algebraic	ADV
ejpam-1206	156	73	exponentially	exponentially	ADV
ejpam-1206	156	74	large	large	ADJ
ejpam-1206	156	75	algebraic	algebraic	ADJ
ejpam-1206	156	76	exponentially	exponentially	ADV
ejpam-1206	156	77	large	large	ADJ
ejpam-1206	156	78	1/2	1/2	NUM
ejpam-1206	156	79	1/2	1/2	NUM
ejpam-1206	156	80	π	π	NOUN
ejpam-1206	156	81	−π	−π	NOUN
ejpam-1206	156	82	(	(	PUNCT
ejpam-1206	156	83	p	p	X
ejpam-1206	156	84	/	/	SYM
ejpam-1206	156	85	n	n	NOUN
ejpam-1206	156	86	)	)	PUNCT
ejpam-1206	156	87	(	(	PUNCT
ejpam-1206	156	88	p	p	NOUN
ejpam-1206	156	89	/	/	SYM
ejpam-1206	156	90	n	n	NOUN
ejpam-1206	156	91	)	)	PUNCT
ejpam-1206	156	92	(	(	PUNCT
ejpam-1206	156	93	b	b	X
ejpam-1206	156	94	)	)	PUNCT
ejpam-1206	156	95	κ	κ	X
ejpam-1206	156	96	<	<	X
ejpam-1206	156	97	1	1	NUM
ejpam-1206	156	98	2	2	NUM
ejpam-1206	156	99	figure	figure	NOUN
ejpam-1206	156	100	2	2	NUM
ejpam-1206	156	101	:	:	PUNCT
ejpam-1206	156	102	the	the	DET
ejpam-1206	156	103	sectorial	sectorial	ADJ
ejpam-1206	156	104	behaviour	behaviour	NOUN
ejpam-1206	156	105	of	of	ADP
ejpam-1206	156	106	cn	cn	PROPN
ejpam-1206	156	107	,	,	PUNCT
ejpam-1206	156	108	p(z	p(z	PROPN
ejpam-1206	156	109	;	;	PUNCT
ejpam-1206	156	110	~ν	~ν	NUM
ejpam-1206	156	111	)	)	PUNCT
ejpam-1206	156	112	and	and	CCONJ
ejpam-1206	156	113	sn	sn	NOUN
ejpam-1206	156	114	,	,	PUNCT
ejpam-1206	156	115	p(z	p(z	PROPN
ejpam-1206	156	116	;	;	PUNCT
ejpam-1206	156	117	~ν	~ν	NUM
ejpam-1206	156	118	)	)	PUNCT
ejpam-1206	156	119	for	for	ADP
ejpam-1206	156	120	large	large	ADJ
ejpam-1206	156	121	|x	|x	NOUN
ejpam-1206	156	122	|	|	ADV
ejpam-1206	156	123	.	.	PUNCT
ejpam-1206	157	1	we	we	PRON
ejpam-1206	157	2	remark	remark	VERB
ejpam-1206	157	3	that	that	SCONJ
ejpam-1206	157	4	the	the	DET
ejpam-1206	157	5	above	above	ADJ
ejpam-1206	157	6	expansions	expansion	NOUN
ejpam-1206	157	7	take	take	VERB
ejpam-1206	157	8	into	into	ADP
ejpam-1206	157	9	account	account	NOUN
ejpam-1206	157	10	the	the	DET
ejpam-1206	157	11	switching	switching	NOUN
ejpam-1206	157	12	on	on	ADP
ejpam-1206	157	13	or	or	CCONJ
ejpam-1206	157	14	off	off	ADP
ejpam-1206	157	15	of	of	ADP
ejpam-1206	157	16	the	the	DET
ejpam-1206	157	17	exponential	exponential	ADJ
ejpam-1206	157	18	expansions	expansion	NOUN
ejpam-1206	157	19	due	due	ADP
ejpam-1206	157	20	to	to	ADP
ejpam-1206	157	21	the	the	DET
ejpam-1206	157	22	stokes	stoke	NOUN
ejpam-1206	157	23	phenomenon	phenomenon	NOUN
ejpam-1206	157	24	as	as	ADP
ejpam-1206	157	25	one	one	NUM
ejpam-1206	157	26	crosses	crosse	NOUN
ejpam-1206	157	27	the	the	DET
ejpam-1206	157	28	rays	ray	NOUN
ejpam-1206	157	29	arg	arg	VERB
ejpam-1206	157	30	x	x	PUNCT
ejpam-1206	157	31	=	=	SYM
ejpam-1206	157	32	±π(1	±π(1	NOUN
ejpam-1206	157	33	2	2	NUM
ejpam-1206	157	34	−	−	NOUN
ejpam-1206	157	35	p	p	NOUN
ejpam-1206	157	36	/	/	SYM
ejpam-1206	157	37	n	n	CCONJ
ejpam-1206	157	38	)	)	PUNCT
ejpam-1206	157	39	.	.	PUNCT
ejpam-1206	158	1	however	however	ADV
ejpam-1206	158	2	,	,	PUNCT
ejpam-1206	158	3	the	the	DET
ejpam-1206	158	4	details	detail	NOUN
ejpam-1206	158	5	of	of	ADP
ejpam-1206	158	6	the	the	DET
ejpam-1206	158	7	transition	transition	NOUN
ejpam-1206	158	8	across	across	ADP
ejpam-1206	158	9	these	these	DET
ejpam-1206	158	10	rays	ray	NOUN
ejpam-1206	158	11	,	,	PUNCT
ejpam-1206	158	12	together	together	ADV
ejpam-1206	158	13	with	with	ADP
ejpam-1206	158	14	those	those	PRON
ejpam-1206	158	15	associated	associate	VERB
ejpam-1206	158	16	with	with	ADP
ejpam-1206	158	17	the	the	DET
ejpam-1206	158	18	algebraic	algebraic	ADJ
ejpam-1206	158	19	expansions	expansion	NOUN
ejpam-1206	158	20	on	on	ADP
ejpam-1206	158	21	arg	arg	NOUN
ejpam-1206	158	22	x	x	PUNCT
ejpam-1206	158	23	=	=	PRON
ejpam-1206	158	24	±1	±1	VERB
ejpam-1206	158	25	2	2	NUM
ejpam-1206	158	26	π	π	PROPN
ejpam-1206	158	27	,	,	PUNCT
ejpam-1206	158	28	would	would	AUX
ejpam-1206	158	29	require	require	VERB
ejpam-1206	158	30	further	further	ADJ
ejpam-1206	158	31	investigation	investigation	NOUN
ejpam-1206	158	32	of	of	ADP
ejpam-1206	158	33	the	the	DET
ejpam-1206	158	34	stokes	stoke	NOUN
ejpam-1206	158	35	phenomenon	phenomenon	NOUN
ejpam-1206	158	36	on	on	ADP
ejpam-1206	158	37	the	the	DET
ejpam-1206	158	38	lines	line	NOUN
ejpam-1206	158	39	of	of	ADP
ejpam-1206	158	40	that	that	PRON
ejpam-1206	158	41	given	give	VERB
ejpam-1206	158	42	in	in	ADP
ejpam-1206	158	43	[	[	NOUN
ejpam-1206	158	44	9	9	NUM
ejpam-1206	158	45	]	]	PUNCT
ejpam-1206	158	46	.	.	PUNCT
ejpam-1206	159	1	finally	finally	ADV
ejpam-1206	159	2	,	,	PUNCT
ejpam-1206	159	3	if	if	SCONJ
ejpam-1206	159	4	some	some	PRON
ejpam-1206	159	5	of	of	ADP
ejpam-1206	159	6	the	the	DET
ejpam-1206	159	7	νr	νr	NOUN
ejpam-1206	159	8	are	be	AUX
ejpam-1206	159	9	equal	equal	ADJ
ejpam-1206	159	10	,	,	PUNCT
ejpam-1206	159	11	or	or	CCONJ
ejpam-1206	159	12	differ	differ	VERB
ejpam-1206	159	13	by	by	ADP
ejpam-1206	159	14	integer	integer	NOUN
ejpam-1206	159	15	multiples	multiple	NOUN
ejpam-1206	159	16	of	of	ADP
ejpam-1206	159	17	n	n	CCONJ
ejpam-1206	159	18	,	,	PUNCT
ejpam-1206	159	19	then	then	ADV
ejpam-1206	159	20	higher	high	ADJ
ejpam-1206	159	21	order	order	NOUN
ejpam-1206	159	22	poles	pole	NOUN
ejpam-1206	159	23	will	will	AUX
ejpam-1206	159	24	arise	arise	VERB
ejpam-1206	159	25	in	in	ADP
ejpam-1206	159	26	the	the	DET
ejpam-1206	159	27	integrand	integrand	NOUN
ejpam-1206	159	28	of	of	ADP
ejpam-1206	159	29	(	(	PUNCT
ejpam-1206	159	30	10	10	NUM
ejpam-1206	159	31	)	)	PUNCT
ejpam-1206	159	32	and	and	CCONJ
ejpam-1206	159	33	the	the	DET
ejpam-1206	159	34	algebraic	algebraic	ADJ
ejpam-1206	159	35	expansions	expansion	VERB
ejpam-1206	159	36	hc	hc	PROPN
ejpam-1206	159	37	,	,	PUNCT
ejpam-1206	159	38	s	s	PART
ejpam-1206	159	39	will	will	AUX
ejpam-1206	159	40	be	be	AUX
ejpam-1206	159	41	modified	modify	VERB
ejpam-1206	159	42	by	by	ADP
ejpam-1206	159	43	the	the	DET
ejpam-1206	159	44	presence	presence	NOUN
ejpam-1206	159	45	of	of	ADP
ejpam-1206	159	46	logarithmic	logarithmic	ADJ
ejpam-1206	159	47	terms	term	NOUN
ejpam-1206	159	48	;	;	PUNCT
ejpam-1206	159	49	see	see	VERB
ejpam-1206	159	50	section	section	NOUN
ejpam-1206	159	51	5	5	NUM
ejpam-1206	159	52	for	for	ADP
ejpam-1206	159	53	an	an	DET
ejpam-1206	159	54	example	example	NOUN
ejpam-1206	159	55	.	.	PUNCT
ejpam-1206	160	1	r.	r.	PROPN
ejpam-1206	160	2	paris	paris	PROPN
ejpam-1206	160	3	/	/	SYM
ejpam-1206	160	4	eur	eur	PROPN
ejpam-1206	160	5	.	.	PUNCT
ejpam-1206	161	1	j.	j.	PROPN
ejpam-1206	161	2	pure	pure	PROPN
ejpam-1206	161	3	appl	appl	PROPN
ejpam-1206	161	4	.	.	PROPN
ejpam-1206	161	5	math	math	PROPN
ejpam-1206	161	6	,	,	PUNCT
ejpam-1206	161	7	5	5	NUM
ejpam-1206	161	8	(	(	PUNCT
ejpam-1206	161	9	2012	2012	NUM
ejpam-1206	161	10	)	)	PUNCT
ejpam-1206	161	11	,	,	PUNCT
ejpam-1206	161	12	260	260	NUM
ejpam-1206	161	13	-	-	SYM
ejpam-1206	161	14	281	281	NUM
ejpam-1206	161	15	268	268	NUM
ejpam-1206	161	16	4	4	NUM
ejpam-1206	161	17	.	.	PUNCT
ejpam-1206	162	1	the	the	DET
ejpam-1206	162	2	zeros	zero	NOUN
ejpam-1206	162	3	in	in	ADP
ejpam-1206	162	4	the	the	DET
ejpam-1206	162	5	case	case	NOUN
ejpam-1206	162	6	p	p	X
ejpam-1206	162	7	=	=	NOUN
ejpam-1206	162	8	1	1	NUM
ejpam-1206	162	9	we	we	PRON
ejpam-1206	162	10	first	first	ADV
ejpam-1206	162	11	examine	examine	VERB
ejpam-1206	162	12	the	the	DET
ejpam-1206	162	13	case	case	NOUN
ejpam-1206	162	14	with	with	ADP
ejpam-1206	162	15	p	p	NOUN
ejpam-1206	162	16	=	=	NOUN
ejpam-1206	162	17	1	1	NUM
ejpam-1206	162	18	,	,	PUNCT
ejpam-1206	162	19	where	where	SCONJ
ejpam-1206	162	20	from	from	ADP
ejpam-1206	162	21	(	(	PUNCT
ejpam-1206	162	22	19	19	NUM
ejpam-1206	162	23	)	)	PUNCT
ejpam-1206	162	24	cn,1	cn,1	PROPN
ejpam-1206	162	25	sn,1	sn,1	PROPN
ejpam-1206	162	26	(	(	PUNCT
ejpam-1206	162	27	x	x	NOUN
ejpam-1206	162	28	;	;	PUNCT
ejpam-1206	162	29	ν	ν	X
ejpam-1206	162	30	)	)	PUNCT
ejpam-1206	162	31	=	=	SYM
ejpam-1206	163	1	∫	∫	PROPN
ejpam-1206	164	1	∞	∞	PROPN
ejpam-1206	164	2	0	0	NUM
ejpam-1206	164	3	tν−1	tν−1	PROPN
ejpam-1206	164	4	cos	cos	PROPN
ejpam-1206	164	5	sin	sin	NOUN
ejpam-1206	164	6	(	(	PUNCT
ejpam-1206	164	7	x	x	NOUN
ejpam-1206	164	8	t	t	PROPN
ejpam-1206	164	9	)	)	PUNCT
ejpam-1206	164	10	exp	exp	NOUN
ejpam-1206	164	11	(	(	PUNCT
ejpam-1206	164	12	−tn	−tn	NOUN
ejpam-1206	164	13	/	/	SYM
ejpam-1206	164	14	n	n	CCONJ
ejpam-1206	164	15	)	)	PUNCT
ejpam-1206	164	16	d	d	PROPN
ejpam-1206	164	17	t	t	PROPN
ejpam-1206	164	18	,	,	PUNCT
ejpam-1206	164	19	re	re	X
ejpam-1206	164	20	(	(	PUNCT
ejpam-1206	164	21	ν	ν	NOUN
ejpam-1206	164	22	)	)	PUNCT
ejpam-1206	164	23	>	>	X
ejpam-1206	164	24	¨	¨	NOUN
ejpam-1206	164	25	0	0	NUM
ejpam-1206	164	26	−1	−1	NOUN
ejpam-1206	164	27	=	=	SYM
ejpam-1206	164	28	ξnϑ−	ξnϑ−	PROPN
ejpam-1206	164	29	1	1	NUM
ejpam-1206	164	30	2	2	NUM
ejpam-1206	164	31	{	{	PUNCT
ejpam-1206	164	32	un,1(i	un,1(i	NOUN
ejpam-1206	164	33	x	x	X
ejpam-1206	164	34	;	;	PUNCT
ejpam-1206	164	35	ν)±	ν)±	PROPN
ejpam-1206	164	36	un,1(−i	un,1(−i	PROPN
ejpam-1206	164	37	x	x	SYM
ejpam-1206	164	38	;	;	PUNCT
ejpam-1206	164	39	ν	ν	X
ejpam-1206	164	40	)	)	PUNCT
ejpam-1206	164	41	}	}	PUNCT
ejpam-1206	164	42	.	.	PUNCT
ejpam-1206	165	1	(	(	PUNCT
ejpam-1206	165	2	27	27	NUM
ejpam-1206	165	3	)	)	PUNCT
ejpam-1206	165	4	in	in	ADP
ejpam-1206	165	5	this	this	DET
ejpam-1206	165	6	case	case	NOUN
ejpam-1206	165	7	the	the	DET
ejpam-1206	165	8	algebraic	algebraic	ADJ
ejpam-1206	165	9	expansions	expansion	NOUN
ejpam-1206	165	10	in	in	ADP
ejpam-1206	165	11	(	(	PUNCT
ejpam-1206	165	12	22	22	NUM
ejpam-1206	165	13	)	)	PUNCT
ejpam-1206	165	14	simplify	simplify	NOUN
ejpam-1206	165	15	to	to	ADP
ejpam-1206	165	16	hc	hc	PROPN
ejpam-1206	165	17	,	,	PUNCT
ejpam-1206	165	18	s	s	PART
ejpam-1206	165	19	=	=	PROPN
ejpam-1206	165	20	x−ν	x−ν	PROPN
ejpam-1206	165	21	∞	∞	PROPN
ejpam-1206	165	22	∑	∑	PROPN
ejpam-1206	165	23	k=0	k=0	PROPN
ejpam-1206	165	24	(	(	PUNCT
ejpam-1206	165	25	−)k	−)k	PROPN
ejpam-1206	165	26	k	k	PROPN
ejpam-1206	165	27	!	!	PUNCT
ejpam-1206	165	28	γ(nk+	γ(nk+	PROPN
ejpam-1206	166	1	ν	ν	NOUN
ejpam-1206	166	2	)	)	PUNCT
ejpam-1206	166	3	(	(	PUNCT
ejpam-1206	166	4	n1	n1	NOUN
ejpam-1206	166	5	/	/	SYM
ejpam-1206	166	6	n	n	NOUN
ejpam-1206	166	7	x)−nk	x)−nk	PUNCT
ejpam-1206	167	1	cos	cos	ADP
ejpam-1206	167	2	sin	sin	NOUN
ejpam-1206	167	3	1	1	NUM
ejpam-1206	167	4	2	2	NUM
ejpam-1206	167	5	π(nk+	π(nk+	NOUN
ejpam-1206	167	6	ν	ν	NOUN
ejpam-1206	167	7	)	)	PUNCT
ejpam-1206	167	8	.	.	PUNCT
ejpam-1206	168	1	(	(	PUNCT
ejpam-1206	168	2	28	28	NUM
ejpam-1206	168	3	)	)	PUNCT
ejpam-1206	168	4	then	then	ADV
ejpam-1206	168	5	,	,	PUNCT
ejpam-1206	168	6	from	from	ADP
ejpam-1206	168	7	(	(	PUNCT
ejpam-1206	168	8	25	25	NUM
ejpam-1206	168	9	)	)	PUNCT
ejpam-1206	168	10	,	,	PUNCT
ejpam-1206	168	11	we	we	PRON
ejpam-1206	168	12	have	have	VERB
ejpam-1206	168	13	the	the	DET
ejpam-1206	168	14	asymptotic	asymptotic	ADJ
ejpam-1206	168	15	expansion‡	expansion‡	NOUN
ejpam-1206	168	16	for	for	ADP
ejpam-1206	168	17	n	n	CCONJ
ejpam-1206	168	18	>	>	X
ejpam-1206	168	19	2	2	NUM
ejpam-1206	168	20	(	(	PUNCT
ejpam-1206	168	21	κ	κ	X
ejpam-1206	168	22	>	>	X
ejpam-1206	168	23	1	1	NUM
ejpam-1206	168	24	2	2	NUM
ejpam-1206	168	25	)	)	PUNCT
ejpam-1206	168	26	given	give	VERB
ejpam-1206	168	27	by	by	ADP
ejpam-1206	168	28	cn,1	cn,1	PROPN
ejpam-1206	168	29	sn,1	sn,1	PROPN
ejpam-1206	168	30	(	(	PUNCT
ejpam-1206	168	31	x	x	PROPN
ejpam-1206	168	32	;	;	PUNCT
ejpam-1206	168	33	ν)∼	ν)∼	PROPN
ejpam-1206	168	34			PROPN
ejpam-1206	168	35			VERB
ejpam-1206	168	36			NOUN
ejpam-1206	168	37	hc	hc	PROPN
ejpam-1206	168	38	,	,	PUNCT
ejpam-1206	168	39	s	s	PART
ejpam-1206	168	40	+	+	CCONJ
ejpam-1206	168	41	ec	ec	PROPN
ejpam-1206	168	42	,	,	PUNCT
ejpam-1206	168	43	s	s	PART
ejpam-1206	168	44	|arg	|arg	NOUN
ejpam-1206	168	45	x	x	PROPN
ejpam-1206	168	46	|	|	ADV
ejpam-1206	168	47	≤	≤	ADV
ejpam-1206	168	48	π(1	π(1	X
ejpam-1206	168	49	2	2	NUM
ejpam-1206	168	50	−	−	NOUN
ejpam-1206	168	51	1	1	NUM
ejpam-1206	168	52	n	n	NOUN
ejpam-1206	168	53	)	)	PUNCT
ejpam-1206	168	54	hc	hc	PROPN
ejpam-1206	168	55	,	,	PUNCT
ejpam-1206	168	56	s	s	PART
ejpam-1206	168	57	±	±	NOUN
ejpam-1206	168	58	ξe−	ξe−	NUM
ejpam-1206	168	59	π(1	π(1	PROPN
ejpam-1206	168	60	2	2	NUM
ejpam-1206	168	61	−	−	NOUN
ejpam-1206	168	62	1	1	NUM
ejpam-1206	168	63	n	n	NOUN
ejpam-1206	168	64	)	)	PUNCT
ejpam-1206	168	65	<	<	X
ejpam-1206	168	66	arg	arg	NOUN
ejpam-1206	168	67	x	x	SYM
ejpam-1206	168	68	≤	≤	NUM
ejpam-1206	168	69	1	1	NUM
ejpam-1206	168	70	2	2	NUM
ejpam-1206	168	71	π	π	PROPN
ejpam-1206	168	72	hc	hc	PROPN
ejpam-1206	168	73	,	,	PUNCT
ejpam-1206	168	74	s	s	PART
ejpam-1206	168	75	+	+	X
ejpam-1206	168	76	ξe+	ξe+	ADJ
ejpam-1206	168	77	−1	−1	NOUN
ejpam-1206	168	78	2	2	NUM
ejpam-1206	168	79	π≤	π≤	DET
ejpam-1206	168	80	arg	arg	NOUN
ejpam-1206	168	81	x	x	X
ejpam-1206	168	82	<	<	X
ejpam-1206	168	83	π(1	π(1	X
ejpam-1206	168	84	2	2	NUM
ejpam-1206	168	85	−	−	NOUN
ejpam-1206	168	86	1	1	NUM
ejpam-1206	168	87	n	n	NOUN
ejpam-1206	168	88	)	)	PUNCT
ejpam-1206	168	89	(	(	PUNCT
ejpam-1206	168	90	29	29	NUM
ejpam-1206	168	91	)	)	PUNCT
ejpam-1206	168	92	as	as	ADP
ejpam-1206	168	93	|x	|x	NOUN
ejpam-1206	169	1	|	|	ADV
ejpam-1206	169	2	→∞.	→∞.	PROPN
ejpam-1206	170	1	the	the	DET
ejpam-1206	170	2	coefficients	coefficient	NOUN
ejpam-1206	171	1	c	c	PROPN
ejpam-1206	171	2	j	j	PROPN
ejpam-1206	171	3	in	in	ADP
ejpam-1206	171	4	the	the	DET
ejpam-1206	171	5	exponential	exponential	ADJ
ejpam-1206	171	6	expansions	expansion	NOUN
ejpam-1206	171	7	e±	e±	PROPN
ejpam-1206	171	8	and	and	CCONJ
ejpam-1206	171	9	ec	ec	PROPN
ejpam-1206	171	10	,	,	PUNCT
ejpam-1206	171	11	s	s	PART
ejpam-1206	171	12	in	in	X
ejpam-1206	171	13	(	(	PUNCT
ejpam-1206	171	14	21	21	NUM
ejpam-1206	171	15	)	)	PUNCT
ejpam-1206	171	16	and	and	CCONJ
ejpam-1206	171	17	(	(	PUNCT
ejpam-1206	171	18	24	24	NUM
ejpam-1206	171	19	)	)	PUNCT
ejpam-1206	171	20	can	can	AUX
ejpam-1206	171	21	be	be	AUX
ejpam-1206	171	22	computed	compute	VERB
ejpam-1206	171	23	by	by	ADP
ejpam-1206	171	24	the	the	DET
ejpam-1206	171	25	recurrence	recurrence	NOUN
ejpam-1206	171	26	relation	relation	NOUN
ejpam-1206	171	27	(	(	PUNCT
ejpam-1206	171	28	14	14	NUM
ejpam-1206	171	29	)	)	PUNCT
ejpam-1206	171	30	.	.	PUNCT
ejpam-1206	172	1	the	the	DET
ejpam-1206	172	2	first	first	ADJ
ejpam-1206	172	3	few	few	ADJ
ejpam-1206	172	4	values	value	NOUN
ejpam-1206	172	5	of	of	ADP
ejpam-1206	172	6	these	these	DET
ejpam-1206	172	7	coefficients	coefficient	NOUN
ejpam-1206	172	8	when	when	SCONJ
ejpam-1206	172	9	n=	n=	ADJ
ejpam-1206	172	10	4	4	NUM
ejpam-1206	172	11	and	and	CCONJ
ejpam-1206	172	12	ν	ν	X
ejpam-1206	172	13	=	=	SYM
ejpam-1206	172	14	1	1	NUM
ejpam-1206	172	15	are	be	AUX
ejpam-1206	172	16	given	give	VERB
ejpam-1206	172	17	in	in	ADP
ejpam-1206	172	18	the	the	DET
ejpam-1206	172	19	first	first	ADJ
ejpam-1206	172	20	column	column	NOUN
ejpam-1206	172	21	of	of	ADP
ejpam-1206	172	22	table	table	NOUN
ejpam-1206	172	23	1	1	NUM
ejpam-1206	172	24	.	.	NOUN
ejpam-1206	172	25	4.1	4.1	NUM
ejpam-1206	172	26	.	.	PUNCT
ejpam-1206	173	1	real	real	ADJ
ejpam-1206	173	2	zeros	zero	NOUN
ejpam-1206	173	3	when	when	SCONJ
ejpam-1206	173	4	n	n	X
ejpam-1206	173	5	is	be	AUX
ejpam-1206	173	6	even	even	ADV
ejpam-1206	173	7	and	and	CCONJ
ejpam-1206	173	8	the	the	DET
ejpam-1206	173	9	parameter	parameter	NOUN
ejpam-1206	173	10	ν	ν	PROPN
ejpam-1206	173	11	is	be	AUX
ejpam-1206	173	12	an	an	DET
ejpam-1206	173	13	odd	odd	ADJ
ejpam-1206	173	14	(	(	PUNCT
ejpam-1206	173	15	resp	resp	NOUN
ejpam-1206	173	16	.	.	PUNCT
ejpam-1206	174	1	even	even	ADV
ejpam-1206	174	2	)	)	PUNCT
ejpam-1206	174	3	integer	integer	NOUN
ejpam-1206	174	4	for	for	ADP
ejpam-1206	174	5	cn,1(x	cn,1(x	NOUN
ejpam-1206	174	6	;	;	PUNCT
ejpam-1206	174	7	ν	ν	X
ejpam-1206	174	8	)	)	PUNCT
ejpam-1206	174	9	(	(	PUNCT
ejpam-1206	174	10	resp	resp	NOUN
ejpam-1206	174	11	.	.	PUNCT
ejpam-1206	175	1	sn,1(x	sn,1(x	NOUN
ejpam-1206	175	2	;	;	PUNCT
ejpam-1206	175	3	ν	ν	NOUN
ejpam-1206	175	4	)	)	PUNCT
ejpam-1206	175	5	)	)	PUNCT
ejpam-1206	175	6	,	,	PUNCT
ejpam-1206	175	7	the	the	DET
ejpam-1206	175	8	algebraic	algebraic	ADJ
ejpam-1206	175	9	expansion	expansion	NOUN
ejpam-1206	175	10	hc	hc	PROPN
ejpam-1206	175	11	(	(	PUNCT
ejpam-1206	175	12	resp	resp	PROPN
ejpam-1206	175	13	.	.	PUNCT
ejpam-1206	175	14	hs	hs	PROPN
ejpam-1206	175	15	)	)	PUNCT
ejpam-1206	175	16	in	in	ADP
ejpam-1206	175	17	(	(	PUNCT
ejpam-1206	175	18	28	28	NUM
ejpam-1206	175	19	)	)	PUNCT
ejpam-1206	175	20	vanishes	vanish	VERB
ejpam-1206	175	21	to	to	PART
ejpam-1206	175	22	leave	leave	VERB
ejpam-1206	175	23	an	an	DET
ejpam-1206	175	24	exponentially	exponentially	ADV
ejpam-1206	175	25	small	small	ADJ
ejpam-1206	175	26	expansion	expansion	NOUN
ejpam-1206	175	27	in	in	ADP
ejpam-1206	175	28	the	the	DET
ejpam-1206	175	29	sector	sector	NOUN
ejpam-1206	175	30	|arg	|arg	NOUN
ejpam-1206	175	31	x	x	PROPN
ejpam-1206	175	32	|	|	ADV
ejpam-1206	175	33	<	<	X
ejpam-1206	175	34	π(1	π(1	X
ejpam-1206	175	35	2	2	NUM
ejpam-1206	175	36	−	−	NOUN
ejpam-1206	175	37	1	1	NUM
ejpam-1206	175	38	/	/	SYM
ejpam-1206	175	39	n	n	CCONJ
ejpam-1206	175	40	)	)	PUNCT
ejpam-1206	175	41	.	.	PUNCT
ejpam-1206	176	1	from	from	ADP
ejpam-1206	176	2	(	(	PUNCT
ejpam-1206	176	3	29	29	NUM
ejpam-1206	176	4	)	)	PUNCT
ejpam-1206	176	5	and	and	CCONJ
ejpam-1206	176	6	(	(	PUNCT
ejpam-1206	176	7	24	24	NUM
ejpam-1206	176	8	)	)	PUNCT
ejpam-1206	176	9	,	,	PUNCT
ejpam-1206	176	10	we	we	PRON
ejpam-1206	176	11	then	then	ADV
ejpam-1206	176	12	have	have	VERB
ejpam-1206	176	13	when	when	SCONJ
ejpam-1206	176	14	κ	κ	X
ejpam-1206	176	15	>	>	X
ejpam-1206	176	16	1	1	NUM
ejpam-1206	176	17	2	2	NUM
ejpam-1206	176	18	cn,1	cn,1	PROPN
ejpam-1206	176	19	sn,1	sn,1	PROPN
ejpam-1206	176	20	(	(	PUNCT
ejpam-1206	176	21	x	x	PROPN
ejpam-1206	176	22	;	;	PUNCT
ejpam-1206	176	23	ν)∼	ν)∼	PROPN
ejpam-1206	176	24	κ−ϑ	κ−ϑ	PROPN
ejpam-1206	176	25	�	�	PROPN
ejpam-1206	176	26	2π	2π	PROPN
ejpam-1206	176	27	nκ	nκ	PROPN
ejpam-1206	176	28	�	�	PROPN
ejpam-1206	176	29	1/2	1/2	NUM
ejpam-1206	176	30	x	x	X
ejpam-1206	176	31	ϑ	ϑ	X
ejpam-1206	176	32	exp	exp	PRON
ejpam-1206	176	33	�	�	PROPN
ejpam-1206	176	34	x	x	PUNCT
ejpam-1206	176	35	cos	cos	PROPN
ejpam-1206	176	36	π	π	PROPN
ejpam-1206	176	37	2κ	2κ	PROPN
ejpam-1206	176	38	�	�	PROPN
ejpam-1206	176	39	∞	∞	PROPN
ejpam-1206	176	40	∑	∑	PUNCT
ejpam-1206	176	41	j=0	j=0	PROPN
ejpam-1206	176	42	c	c	PROPN
ejpam-1206	176	43	j	j	PROPN
ejpam-1206	176	44	x	x	X
ejpam-1206	176	45	−	−	PROPN
ejpam-1206	176	46	j	j	PROPN
ejpam-1206	176	47	cos	cos	PROPN
ejpam-1206	176	48	sin	sin	PROPN
ejpam-1206	176	49	�	�	PROPN
ejpam-1206	176	50	x	x	PUNCT
ejpam-1206	176	51	sin	sin	NOUN
ejpam-1206	176	52	π	π	X
ejpam-1206	176	53	2κ	2κ	NOUN
ejpam-1206	177	1	+	+	CCONJ
ejpam-1206	177	2	π	π	PROPN
ejpam-1206	177	3	2κ	2κ	NOUN
ejpam-1206	177	4	(	(	PUNCT
ejpam-1206	177	5	ϑ−	ϑ−	PROPN
ejpam-1206	177	6	j	j	NOUN
ejpam-1206	177	7	)	)	PUNCT
ejpam-1206	177	8	�	�	PROPN
ejpam-1206	177	9	(	(	PUNCT
ejpam-1206	177	10	30	30	NUM
ejpam-1206	177	11	)	)	PUNCT
ejpam-1206	177	12	n	n	CCONJ
ejpam-1206	177	13	even	even	ADV
ejpam-1206	177	14	,	,	PUNCT
ejpam-1206	177	15	ν	ν	X
ejpam-1206	177	16	=	=	SYM
ejpam-1206	177	17	¨	¨	NOUN
ejpam-1206	177	18	2m+	2m+	NUM
ejpam-1206	177	19	1	1	NUM
ejpam-1206	177	20	2m+	2m+	NUM
ejpam-1206	177	21	2	2	NUM
ejpam-1206	177	22	(	(	PUNCT
ejpam-1206	177	23	m	m	NOUN
ejpam-1206	177	24	=	=	NOUN
ejpam-1206	177	25	0,1,2	0,1,2	NUM
ejpam-1206	177	26	,	,	PUNCT
ejpam-1206	177	27	.	.	PUNCT
ejpam-1206	177	28	.	.	PUNCT
ejpam-1206	177	29	.	.	PUNCT
ejpam-1206	177	30	)	)	PUNCT
ejpam-1206	178	1	as	as	ADP
ejpam-1206	178	2	|x	|x	NOUN
ejpam-1206	178	3	|	|	ADV
ejpam-1206	178	4	→	→	SYM
ejpam-1206	178	5	∞	∞	PROPN
ejpam-1206	178	6	in	in	ADP
ejpam-1206	178	7	|arg	|arg	NOUN
ejpam-1206	178	8	x	x	PUNCT
ejpam-1206	178	9	|	|	ADV
ejpam-1206	178	10	<	<	X
ejpam-1206	178	11	π(1	π(1	X
ejpam-1206	178	12	2	2	NUM
ejpam-1206	178	13	−	−	NOUN
ejpam-1206	178	14	1	1	NUM
ejpam-1206	178	15	/	/	SYM
ejpam-1206	178	16	n	n	CCONJ
ejpam-1206	178	17	)	)	PUNCT
ejpam-1206	178	18	.	.	PUNCT
ejpam-1206	179	1	in	in	ADP
ejpam-1206	179	2	this	this	DET
ejpam-1206	179	3	case	case	NOUN
ejpam-1206	179	4	,	,	PUNCT
ejpam-1206	179	5	cn,1(x	cn,1(x	NOUN
ejpam-1206	179	6	;	;	PUNCT
ejpam-1206	179	7	ν	ν	NOUN
ejpam-1206	179	8	)	)	PUNCT
ejpam-1206	179	9	and	and	CCONJ
ejpam-1206	179	10	sn,1(x	sn,1(x	NOUN
ejpam-1206	179	11	;	;	PUNCT
ejpam-1206	179	12	ν	ν	X
ejpam-1206	179	13	)	)	PUNCT
ejpam-1206	179	14	possess	possess	VERB
ejpam-1206	179	15	an	an	DET
ejpam-1206	179	16	infinite	infinite	ADJ
ejpam-1206	179	17	sequence	sequence	NOUN
ejpam-1206	179	18	of	of	ADP
ejpam-1206	179	19	real	real	ADJ
ejpam-1206	179	20	zeros	zero	NOUN
ejpam-1206	179	21	;	;	PUNCT
ejpam-1206	179	22	see	see	VERB
ejpam-1206	179	23	the	the	DET
ejpam-1206	179	24	appendix	appendix	NOUN
ejpam-1206	179	25	.	.	PUNCT
ejpam-1206	180	1	the	the	DET
ejpam-1206	180	2	leading	lead	VERB
ejpam-1206	180	3	-	-	PUNCT
ejpam-1206	180	4	order	order	NOUN
ejpam-1206	180	5	approximation	approximation	NOUN
ejpam-1206	180	6	for	for	ADP
ejpam-1206	180	7	the	the	DET
ejpam-1206	180	8	real	real	ADJ
ejpam-1206	180	9	zeros	zero	NOUN
ejpam-1206	180	10	is	be	AUX
ejpam-1206	180	11	then	then	ADV
ejpam-1206	180	12	given	give	VERB
ejpam-1206	180	13	by	by	ADP
ejpam-1206	180	14	cos	cos	PROPN
ejpam-1206	180	15	sin	sin	PROPN
ejpam-1206	180	16	ψ	ψ	X
ejpam-1206	180	17	=	=	SYM
ejpam-1206	180	18	0	0	NUM
ejpam-1206	180	19	,	,	PUNCT
ejpam-1206	180	20	ψ	ψ	X
ejpam-1206	180	21	=	=	NOUN
ejpam-1206	180	22	x	x	SYM
ejpam-1206	180	23	sin	sin	NOUN
ejpam-1206	180	24	π	π	X
ejpam-1206	180	25	2κ	2κ	NOUN
ejpam-1206	180	26	+	+	CCONJ
ejpam-1206	180	27	πϑ	πϑ	X
ejpam-1206	180	28	2κ	2κ	NOUN
ejpam-1206	180	29	‡we	‡we	PROPN
ejpam-1206	180	30	exclude	exclude	VERB
ejpam-1206	180	31	the	the	DET
ejpam-1206	180	32	case	case	NOUN
ejpam-1206	180	33	n	n	NOUN
ejpam-1206	180	34	=	=	SYM
ejpam-1206	180	35	2	2	NUM
ejpam-1206	180	36	(	(	PUNCT
ejpam-1206	180	37	κ	κ	NOUN
ejpam-1206	180	38	=	=	SYM
ejpam-1206	180	39	1	1	NUM
ejpam-1206	180	40	2	2	NUM
ejpam-1206	180	41	)	)	PUNCT
ejpam-1206	180	42	since	since	SCONJ
ejpam-1206	180	43	the	the	DET
ejpam-1206	180	44	integrals	integral	NOUN
ejpam-1206	180	45	in	in	ADP
ejpam-1206	180	46	(	(	PUNCT
ejpam-1206	180	47	27	27	NUM
ejpam-1206	180	48	)	)	PUNCT
ejpam-1206	180	49	can	can	AUX
ejpam-1206	180	50	be	be	AUX
ejpam-1206	180	51	evaluated	evaluate	VERB
ejpam-1206	180	52	in	in	ADP
ejpam-1206	180	53	terms	term	NOUN
ejpam-1206	180	54	of	of	ADP
ejpam-1206	180	55	parabolic	parabolic	ADJ
ejpam-1206	180	56	cylinder	cylinder	NOUN
ejpam-1206	180	57	functions	function	NOUN
ejpam-1206	180	58	.	.	PUNCT
ejpam-1206	181	1	r.	r.	PROPN
ejpam-1206	181	2	paris	paris	PROPN
ejpam-1206	181	3	/	/	SYM
ejpam-1206	181	4	eur	eur	PROPN
ejpam-1206	181	5	.	.	PUNCT
ejpam-1206	182	1	j.	j.	PROPN
ejpam-1206	182	2	pure	pure	PROPN
ejpam-1206	182	3	appl	appl	PROPN
ejpam-1206	182	4	.	.	PROPN
ejpam-1206	182	5	math	math	PROPN
ejpam-1206	182	6	,	,	PUNCT
ejpam-1206	182	7	5	5	NUM
ejpam-1206	182	8	(	(	PUNCT
ejpam-1206	182	9	2012	2012	NUM
ejpam-1206	182	10	)	)	PUNCT
ejpam-1206	182	11	,	,	PUNCT
ejpam-1206	182	12	260	260	NUM
ejpam-1206	182	13	-	-	SYM
ejpam-1206	182	14	281	281	NUM
ejpam-1206	182	15	269	269	NUM
ejpam-1206	182	16	to	to	PART
ejpam-1206	182	17	produce	produce	VERB
ejpam-1206	182	18	the	the	DET
ejpam-1206	182	19	zeroth	zeroth	ADJ
ejpam-1206	182	20	-	-	PUNCT
ejpam-1206	182	21	order	order	NOUN
ejpam-1206	182	22	approximation	approximation	NOUN
ejpam-1206	182	23	ψ(0	ψ(0	NOUN
ejpam-1206	182	24	)	)	PUNCT
ejpam-1206	182	25	=	=	SYM
ejpam-1206	182	26	(	(	PUNCT
ejpam-1206	182	27	k+	k+	NOUN
ejpam-1206	182	28	ε)π	ε)π	NOUN
ejpam-1206	182	29	,	,	PUNCT
ejpam-1206	182	30	ε=	ε=	ADJ
ejpam-1206	182	31	¨	¨	NOUN
ejpam-1206	182	32	1	1	NUM
ejpam-1206	182	33	2	2	NUM
ejpam-1206	182	34	1	1	NUM
ejpam-1206	182	35	(	(	PUNCT
ejpam-1206	182	36	k	k	NOUN
ejpam-1206	182	37	=	=	NOUN
ejpam-1206	182	38	0,1,2	0,1,2	NUM
ejpam-1206	182	39	,	,	PUNCT
ejpam-1206	182	40	.	.	PUNCT
ejpam-1206	182	41	.	.	PUNCT
ejpam-1206	182	42	.	.	PUNCT
ejpam-1206	182	43	)	)	PUNCT
ejpam-1206	182	44	.	.	PUNCT
ejpam-1206	183	1	to	to	ADP
ejpam-1206	183	2	next	next	ADJ
ejpam-1206	183	3	order	order	NOUN
ejpam-1206	183	4	we	we	PRON
ejpam-1206	183	5	have	have	VERB
ejpam-1206	183	6	cos	cos	PROPN
ejpam-1206	183	7	sin	sin	PROPN
ejpam-1206	183	8	ψ+	ψ+	PUNCT
ejpam-1206	183	9	c1	c1	NOUN
ejpam-1206	183	10	x	x	PUNCT
ejpam-1206	183	11	cos	cos	PROPN
ejpam-1206	183	12	sin	sin	PROPN
ejpam-1206	183	13	�	�	PROPN
ejpam-1206	183	14	ψ−	ψ−	PROPN
ejpam-1206	183	15	π	π	PROPN
ejpam-1206	183	16	2κ	2κ	NUM
ejpam-1206	183	17	�	�	PROPN
ejpam-1206	183	18	=	=	SYM
ejpam-1206	183	19	0	0	PROPN
ejpam-1206	183	20	,	,	PUNCT
ejpam-1206	183	21	which	which	PRON
ejpam-1206	183	22	leads	lead	VERB
ejpam-1206	183	23	to	to	PART
ejpam-1206	183	24	ψ(1	ψ(1	PRON
ejpam-1206	183	25	)	)	PUNCT
ejpam-1206	184	1	=	=	SYM
ejpam-1206	184	2	(	(	PUNCT
ejpam-1206	184	3	k+	k+	PROPN
ejpam-1206	184	4	1)π∓	1)π∓	NUM
ejpam-1206	184	5	arctan	arctan	PROPN
ejpam-1206	184	6	�	�	PROPN
ejpam-1206	184	7	λ	λ	PROPN
ejpam-1206	184	8	λ−1	λ−1	PROPN
ejpam-1206	184	9	�	�	PROPN
ejpam-1206	184	10	,	,	PUNCT
ejpam-1206	184	11	λ	λ	X
ejpam-1206	184	12	=	=	PUNCT
ejpam-1206	184	13	x	x	SYM
ejpam-1206	184	14	+	+	NUM
ejpam-1206	184	15	c1	c1	PROPN
ejpam-1206	184	16	cos	cos	PROPN
ejpam-1206	185	1	π	π	PROPN
ejpam-1206	185	2	2κ	2κ	PROPN
ejpam-1206	185	3	c1	c1	PROPN
ejpam-1206	185	4	sin	sin	VERB
ejpam-1206	185	5	π	π	PROPN
ejpam-1206	185	6	2κ	2κ	NOUN
ejpam-1206	185	7	.	.	PUNCT
ejpam-1206	186	1	thus	thus	ADV
ejpam-1206	186	2	we	we	PRON
ejpam-1206	186	3	obtain	obtain	VERB
ejpam-1206	186	4	for	for	ADP
ejpam-1206	186	5	x	x	SYM
ejpam-1206	186	6	→∞	→∞	X
ejpam-1206	186	7	ψ(1	ψ(1	PROPN
ejpam-1206	186	8	)	)	PUNCT
ejpam-1206	186	9	=	=	SYM
ejpam-1206	186	10	ψ(0	ψ(0	NOUN
ejpam-1206	186	11	)	)	PUNCT
ejpam-1206	187	1	+	+	CCONJ
ejpam-1206	187	2	c1	c1	NOUN
ejpam-1206	187	3	x	x	PUNCT
ejpam-1206	187	4	sin	sin	PROPN
ejpam-1206	187	5	π	π	PROPN
ejpam-1206	187	6	2κ	2κ	NOUN
ejpam-1206	187	7	.	.	PUNCT
ejpam-1206	188	1	this	this	PRON
ejpam-1206	188	2	yields	yield	VERB
ejpam-1206	188	3	the	the	DET
ejpam-1206	188	4	zeroth	zeroth	ADJ
ejpam-1206	188	5	and	and	CCONJ
ejpam-1206	188	6	first	first	ADJ
ejpam-1206	188	7	-	-	PUNCT
ejpam-1206	188	8	order	order	NOUN
ejpam-1206	188	9	approximations	approximation	NOUN
ejpam-1206	188	10	x	x	X
ejpam-1206	188	11	(	(	PUNCT
ejpam-1206	188	12	0	0	NUM
ejpam-1206	188	13	)	)	PUNCT
ejpam-1206	188	14	,	,	PUNCT
ejpam-1206	188	15	x	x	X
ejpam-1206	188	16	(	(	PUNCT
ejpam-1206	188	17	1	1	NUM
ejpam-1206	188	18	)	)	PUNCT
ejpam-1206	188	19	to	to	ADP
ejpam-1206	188	20	the	the	DET
ejpam-1206	188	21	(	(	PUNCT
ejpam-1206	188	22	positive	positive	ADJ
ejpam-1206	188	23	)	)	PUNCT
ejpam-1206	188	24	real	real	ADJ
ejpam-1206	188	25	zeros	zero	NOUN
ejpam-1206	188	26	of	of	ADP
ejpam-1206	188	27	cn,1(x	cn,1(x	NOUN
ejpam-1206	188	28	;	;	PUNCT
ejpam-1206	188	29	ν	ν	X
ejpam-1206	188	30	)	)	PUNCT
ejpam-1206	188	31	and	and	CCONJ
ejpam-1206	188	32	sn,1(x	sn,1(x	NOUN
ejpam-1206	188	33	;	;	PUNCT
ejpam-1206	188	34	ν	ν	X
ejpam-1206	188	35	)	)	PUNCT
ejpam-1206	188	36	given	give	VERB
ejpam-1206	188	37	by	by	ADP
ejpam-1206	188	38	x	x	SYM
ejpam-1206	188	39	(	(	PUNCT
ejpam-1206	188	40	0	0	NUM
ejpam-1206	188	41	)	)	PUNCT
ejpam-1206	188	42	=	=	SYM
ejpam-1206	188	43	�	�	PROPN
ejpam-1206	188	44	k+	k+	NOUN
ejpam-1206	188	45	ε−	ε−	PROPN
ejpam-1206	188	46	ϑ	ϑ	ADP
ejpam-1206	188	47	2κ	2κ	NOUN
ejpam-1206	188	48	�	�	PROPN
ejpam-1206	188	49	π	π	NOUN
ejpam-1206	188	50	sin	sin	NOUN
ejpam-1206	188	51	π	π	PROPN
ejpam-1206	188	52	2κ	2κ	NOUN
ejpam-1206	188	53	,	,	PUNCT
ejpam-1206	188	54	x	x	X
ejpam-1206	188	55	(	(	PUNCT
ejpam-1206	188	56	1	1	NUM
ejpam-1206	188	57	)	)	PUNCT
ejpam-1206	188	58	=	=	SYM
ejpam-1206	188	59	x	x	SYM
ejpam-1206	188	60	(	(	PUNCT
ejpam-1206	188	61	0	0	NUM
ejpam-1206	188	62	)	)	PUNCT
ejpam-1206	188	63	+	+	CCONJ
ejpam-1206	188	64	c1	c1	NOUN
ejpam-1206	188	65	x	x	SYM
ejpam-1206	188	66	(	(	PUNCT
ejpam-1206	188	67	0	0	NUM
ejpam-1206	188	68	)	)	PUNCT
ejpam-1206	188	69	(	(	PUNCT
ejpam-1206	188	70	x	x	X
ejpam-1206	188	71	=	=	SYM
ejpam-1206	188	72	κx1	κx1	PROPN
ejpam-1206	188	73	/	/	SYM
ejpam-1206	188	74	κ	κ	NOUN
ejpam-1206	188	75	)	)	PUNCT
ejpam-1206	188	76	.	.	PUNCT
ejpam-1206	189	1	(	(	PUNCT
ejpam-1206	189	2	31	31	NUM
ejpam-1206	189	3	)	)	PUNCT
ejpam-1206	189	4	this	this	DET
ejpam-1206	189	5	approximation	approximation	NOUN
ejpam-1206	189	6	procedure	procedure	NOUN
ejpam-1206	189	7	in	in	ADP
ejpam-1206	189	8	the	the	DET
ejpam-1206	189	9	case	case	NOUN
ejpam-1206	189	10	of	of	ADP
ejpam-1206	189	11	the	the	DET
ejpam-1206	189	12	real	real	ADJ
ejpam-1206	189	13	zeros	zero	NOUN
ejpam-1206	189	14	of	of	ADP
ejpam-1206	189	15	cn,1(x	cn,1(x	NOUN
ejpam-1206	189	16	;	;	PUNCT
ejpam-1206	189	17	1	1	X
ejpam-1206	189	18	)	)	PUNCT
ejpam-1206	189	19	for	for	ADP
ejpam-1206	189	20	even	even	ADV
ejpam-1206	189	21	n	n	PRON
ejpam-1206	189	22	has	have	AUX
ejpam-1206	189	23	been	be	AUX
ejpam-1206	189	24	carried	carry	VERB
ejpam-1206	189	25	out	out	ADP
ejpam-1206	189	26	to	to	ADP
ejpam-1206	189	27	fourth	fourth	ADJ
ejpam-1206	189	28	order	order	NOUN
ejpam-1206	189	29	in	in	ADP
ejpam-1206	189	30	[	[	X
ejpam-1206	189	31	15	15	NUM
ejpam-1206	189	32	]	]	PUNCT
ejpam-1206	189	33	.	.	PUNCT
ejpam-1206	190	1	we	we	PRON
ejpam-1206	190	2	remark	remark	VERB
ejpam-1206	190	3	that	that	SCONJ
ejpam-1206	190	4	when	when	SCONJ
ejpam-1206	190	5	n	n	PROPN
ejpam-1206	190	6	=	=	SYM
ejpam-1206	190	7	2	2	NUM
ejpam-1206	190	8	(	(	PUNCT
ejpam-1206	190	9	κ	κ	NOUN
ejpam-1206	190	10	=	=	SYM
ejpam-1206	190	11	1	1	NUM
ejpam-1206	190	12	2	2	NUM
ejpam-1206	190	13	)	)	PUNCT
ejpam-1206	190	14	the	the	DET
ejpam-1206	190	15	functions	function	NOUN
ejpam-1206	190	16	cn,1(x	cn,1(x	NOUN
ejpam-1206	190	17	;	;	PUNCT
ejpam-1206	190	18	ν	ν	X
ejpam-1206	190	19	)	)	PUNCT
ejpam-1206	190	20	(	(	PUNCT
ejpam-1206	190	21	with	with	ADP
ejpam-1206	190	22	ν	ν	NOUN
ejpam-1206	190	23	odd	odd	ADJ
ejpam-1206	190	24	)	)	PUNCT
ejpam-1206	190	25	and	and	CCONJ
ejpam-1206	190	26	sn,1(x	sn,1(x	NOUN
ejpam-1206	190	27	;	;	PUNCT
ejpam-1206	190	28	ν	ν	X
ejpam-1206	190	29	)	)	PUNCT
ejpam-1206	190	30	(	(	PUNCT
ejpam-1206	190	31	with	with	ADP
ejpam-1206	190	32	ν	ν	NOUN
ejpam-1206	190	33	even	even	ADV
ejpam-1206	190	34	)	)	PUNCT
ejpam-1206	190	35	can	can	AUX
ejpam-1206	190	36	be	be	AUX
ejpam-1206	190	37	expressed	express	VERB
ejpam-1206	190	38	in	in	ADP
ejpam-1206	190	39	terms	term	NOUN
ejpam-1206	190	40	of	of	ADP
ejpam-1206	190	41	hermite	hermite	ADJ
ejpam-1206	190	42	polynomials	polynomial	NOUN
ejpam-1206	190	43	hn(z	hn(z	NOUN
ejpam-1206	190	44	)	)	PUNCT
ejpam-1206	190	45	as	as	ADP
ejpam-1206	190	46	c2,1	c2,1	PROPN
ejpam-1206	190	47	s2,1	s2,1	PROPN
ejpam-1206	190	48	(	(	PUNCT
ejpam-1206	190	49	x	x	NOUN
ejpam-1206	190	50	;	;	PUNCT
ejpam-1206	190	51	ν	ν	X
ejpam-1206	190	52	)	)	PUNCT
ejpam-1206	190	53	=	=	SYM
ejpam-1206	190	54	(	(	PUNCT
ejpam-1206	190	55	−)m2−	−)m2−	NOUN
ejpam-1206	190	56	1	1	NUM
ejpam-1206	190	57	2	2	NUM
ejpam-1206	190	58	ν	ν	NOUN
ejpam-1206	190	59	π	π	NOUN
ejpam-1206	190	60	1	1	NUM
ejpam-1206	190	61	2	2	NUM
ejpam-1206	191	1	e−x2/2	e−x2/2	NOUN
ejpam-1206	192	1	hν−1(x/	hν−1(x/	NOUN
ejpam-1206	192	2	p	p	NOUN
ejpam-1206	192	3	2	2	NUM
ejpam-1206	192	4	)	)	PUNCT
ejpam-1206	192	5	,	,	PUNCT
ejpam-1206	192	6	ν	ν	X
ejpam-1206	192	7	=	=	SYM
ejpam-1206	192	8	¨	¨	NOUN
ejpam-1206	192	9	2m+	2m+	NUM
ejpam-1206	192	10	1	1	NUM
ejpam-1206	192	11	2m+	2m+	NUM
ejpam-1206	192	12	2	2	NUM
ejpam-1206	192	13	(	(	PUNCT
ejpam-1206	192	14	32	32	NUM
ejpam-1206	192	15	)	)	PUNCT
ejpam-1206	192	16	for	for	ADP
ejpam-1206	192	17	nonnegative	nonnegative	ADJ
ejpam-1206	192	18	integer	integer	NOUN
ejpam-1206	192	19	m.	m.	NOUN
ejpam-1206	192	20	by	by	ADP
ejpam-1206	192	21	a	a	DET
ejpam-1206	192	22	well	well	ADV
ejpam-1206	192	23	-	-	PUNCT
ejpam-1206	192	24	known	know	VERB
ejpam-1206	192	25	property	property	NOUN
ejpam-1206	192	26	of	of	ADP
ejpam-1206	192	27	the	the	DET
ejpam-1206	192	28	hermite	hermite	ADJ
ejpam-1206	192	29	polynomials	polynomial	NOUN
ejpam-1206	192	30	,	,	PUNCT
ejpam-1206	192	31	it	it	PRON
ejpam-1206	192	32	follows	follow	VERB
ejpam-1206	192	33	that	that	SCONJ
ejpam-1206	192	34	the	the	DET
ejpam-1206	192	35	functions	function	NOUN
ejpam-1206	192	36	on	on	ADP
ejpam-1206	192	37	the	the	DET
ejpam-1206	192	38	left	left	ADJ
ejpam-1206	192	39	-	-	PUNCT
ejpam-1206	192	40	hand	hand	NOUN
ejpam-1206	192	41	side	side	NOUN
ejpam-1206	192	42	of	of	ADP
ejpam-1206	192	43	(	(	PUNCT
ejpam-1206	192	44	32	32	NUM
ejpam-1206	192	45	)	)	PUNCT
ejpam-1206	192	46	possess	possess	VERB
ejpam-1206	192	47	a	a	DET
ejpam-1206	192	48	finite	finite	ADJ
ejpam-1206	192	49	number	number	NOUN
ejpam-1206	192	50	of	of	ADP
ejpam-1206	192	51	real	real	ADJ
ejpam-1206	192	52	zeros	zero	NOUN
ejpam-1206	192	53	.	.	PUNCT
ejpam-1206	193	1	4.2	4.2	NUM
ejpam-1206	193	2	.	.	PUNCT
ejpam-1206	194	1	complex	complex	ADJ
ejpam-1206	194	2	zeros	zero	NOUN
ejpam-1206	194	3	for	for	ADP
ejpam-1206	194	4	simplicity	simplicity	NOUN
ejpam-1206	194	5	,	,	PUNCT
ejpam-1206	194	6	we	we	PRON
ejpam-1206	194	7	shall	shall	AUX
ejpam-1206	194	8	restrict	restrict	VERB
ejpam-1206	194	9	attention	attention	NOUN
ejpam-1206	194	10	to	to	ADP
ejpam-1206	194	11	real	real	ADJ
ejpam-1206	194	12	positive	positive	ADJ
ejpam-1206	194	13	values	value	NOUN
ejpam-1206	194	14	of	of	ADP
ejpam-1206	194	15	ν	ν	NOUN
ejpam-1206	194	16	.	.	PUNCT
ejpam-1206	195	1	provided	provide	VERB
ejpam-1206	195	2	the	the	DET
ejpam-1206	195	3	algebraic	algebraic	ADJ
ejpam-1206	195	4	expansions	expansion	NOUN
ejpam-1206	195	5	hc	hc	PROPN
ejpam-1206	195	6	,	,	PUNCT
ejpam-1206	195	7	s	s	AUX
ejpam-1206	195	8	do	do	AUX
ejpam-1206	195	9	not	not	PART
ejpam-1206	195	10	vanish	vanish	VERB
ejpam-1206	195	11	identically	identically	ADV
ejpam-1206	195	12	(	(	PUNCT
ejpam-1206	195	13	which	which	PRON
ejpam-1206	195	14	can	can	AUX
ejpam-1206	195	15	only	only	ADV
ejpam-1206	195	16	arise	arise	VERB
ejpam-1206	195	17	when	when	SCONJ
ejpam-1206	195	18	n	n	PRON
ejpam-1206	195	19	is	be	AUX
ejpam-1206	195	20	an	an	DET
ejpam-1206	195	21	even	even	ADV
ejpam-1206	195	22	integer	integer	NOUN
ejpam-1206	195	23	and	and	CCONJ
ejpam-1206	195	24	ν	ν	NOUN
ejpam-1206	195	25	is	be	AUX
ejpam-1206	195	26	either	either	CCONJ
ejpam-1206	195	27	odd	odd	ADJ
ejpam-1206	195	28	(	(	PUNCT
ejpam-1206	195	29	resp	resp	NOUN
ejpam-1206	195	30	.	.	PUNCT
ejpam-1206	196	1	even	even	ADV
ejpam-1206	196	2	)	)	PUNCT
ejpam-1206	196	3	)	)	PUNCT
ejpam-1206	196	4	,	,	PUNCT
ejpam-1206	196	5	the	the	DET
ejpam-1206	196	6	complex	complex	ADJ
ejpam-1206	196	7	zeros	zero	NOUN
ejpam-1206	196	8	of	of	ADP
ejpam-1206	196	9	cn,1(x	cn,1(x	NOUN
ejpam-1206	196	10	;	;	PUNCT
ejpam-1206	196	11	ν	ν	X
ejpam-1206	196	12	)	)	PUNCT
ejpam-1206	196	13	and	and	CCONJ
ejpam-1206	196	14	sn,1(x	sn,1(x	NOUN
ejpam-1206	196	15	;	;	PUNCT
ejpam-1206	196	16	ν	ν	X
ejpam-1206	196	17	)	)	PUNCT
ejpam-1206	196	18	will	will	AUX
ejpam-1206	196	19	be	be	AUX
ejpam-1206	196	20	situated	situate	VERB
ejpam-1206	196	21	near	near	ADP
ejpam-1206	196	22	the	the	DET
ejpam-1206	196	23	anti	anti	ADJ
ejpam-1206	196	24	-	-	ADJ
ejpam-1206	196	25	stokes	stokes	ADJ
ejpam-1206	196	26	lines	line	NOUN
ejpam-1206	196	27	arg	arg	VERB
ejpam-1206	196	28	x	x	PUNCT
ejpam-1206	196	29	=	=	PUNCT
ejpam-1206	196	30	±π/(2n	±π/(2n	NOUN
ejpam-1206	196	31	)	)	PUNCT
ejpam-1206	196	32	,	,	PUNCT
ejpam-1206	196	33	where	where	SCONJ
ejpam-1206	196	34	the	the	DET
ejpam-1206	196	35	expansions	expansion	NOUN
ejpam-1206	196	36	hc	hc	VERB
ejpam-1206	196	37	,	,	PUNCT
ejpam-1206	196	38	s	s	PART
ejpam-1206	196	39	and	and	CCONJ
ejpam-1206	196	40	e∓	e∓	PROPN
ejpam-1206	196	41	are	be	AUX
ejpam-1206	196	42	comparable	comparable	ADJ
ejpam-1206	196	43	in	in	ADP
ejpam-1206	196	44	magnitude	magnitude	NOUN
ejpam-1206	196	45	.	.	PUNCT
ejpam-1206	197	1	we	we	PRON
ejpam-1206	197	2	consider	consider	VERB
ejpam-1206	197	3	only	only	ADV
ejpam-1206	197	4	the	the	DET
ejpam-1206	197	5	neighbourhood	neighbourhood	NOUN
ejpam-1206	197	6	of	of	ADP
ejpam-1206	197	7	the	the	DET
ejpam-1206	197	8	ray	ray	NOUN
ejpam-1206	197	9	arg	arg	NOUN
ejpam-1206	197	10	x	x	PUNCT
ejpam-1206	197	11	=	=	SYM
ejpam-1206	197	12	π/(2n	π/(2n	NOUN
ejpam-1206	197	13	)	)	PUNCT
ejpam-1206	197	14	where	where	SCONJ
ejpam-1206	197	15	cn,1	cn,1	PROPN
ejpam-1206	197	16	sn,1	sn,1	PROPN
ejpam-1206	197	17	(	(	PUNCT
ejpam-1206	197	18	x	x	PROPN
ejpam-1206	197	19	;	;	PUNCT
ejpam-1206	197	20	ν)∼	ν)∼	PROPN
ejpam-1206	197	21	hc	hc	PROPN
ejpam-1206	197	22	,	,	PUNCT
ejpam-1206	197	23	s	s	PART
ejpam-1206	197	24	±	±	NUM
ejpam-1206	197	25	ξe−	ξe−	NUM
ejpam-1206	197	26	r.	r.	PROPN
ejpam-1206	197	27	paris	paris	PROPN
ejpam-1206	197	28	/	/	SYM
ejpam-1206	197	29	eur	eur	PROPN
ejpam-1206	197	30	.	.	PUNCT
ejpam-1206	198	1	j.	j.	PROPN
ejpam-1206	198	2	pure	pure	PROPN
ejpam-1206	198	3	appl	appl	PROPN
ejpam-1206	198	4	.	.	PROPN
ejpam-1206	198	5	math	math	PROPN
ejpam-1206	198	6	,	,	PUNCT
ejpam-1206	198	7	5	5	NUM
ejpam-1206	198	8	(	(	PUNCT
ejpam-1206	198	9	2012	2012	NUM
ejpam-1206	198	10	)	)	PUNCT
ejpam-1206	198	11	,	,	PUNCT
ejpam-1206	198	12	260	260	NUM
ejpam-1206	198	13	-	-	SYM
ejpam-1206	198	14	281	281	NUM
ejpam-1206	198	15	270	270	NUM
ejpam-1206	198	16	for	for	ADP
ejpam-1206	198	17	large	large	ADJ
ejpam-1206	198	18	|x	|x	NOUN
ejpam-1206	198	19	|	|	ADV
ejpam-1206	198	20	,	,	PUNCT
ejpam-1206	198	21	since	since	SCONJ
ejpam-1206	198	22	e+	e+	VERB
ejpam-1206	198	23	is	be	AUX
ejpam-1206	198	24	a	a	DET
ejpam-1206	198	25	subdominant	subdominant	ADJ
ejpam-1206	198	26	expansion	expansion	NOUN
ejpam-1206	198	27	in	in	ADP
ejpam-1206	198	28	the	the	DET
ejpam-1206	198	29	sector	sector	NOUN
ejpam-1206	198	30	0	0	PUNCT
ejpam-1206	198	31	<	<	X
ejpam-1206	198	32	arg	arg	X
ejpam-1206	198	33	x	x	X
ejpam-1206	198	34	<	<	X
ejpam-1206	198	35	π(1	π(1	X
ejpam-1206	198	36	2	2	NUM
ejpam-1206	198	37	−	−	NOUN
ejpam-1206	198	38	1	1	NUM
ejpam-1206	198	39	/	/	SYM
ejpam-1206	198	40	n	n	CCONJ
ejpam-1206	198	41	)	)	PUNCT
ejpam-1206	198	42	.	.	PUNCT
ejpam-1206	199	1	to	to	ADP
ejpam-1206	199	2	leading	lead	VERB
ejpam-1206	199	3	order	order	NOUN
ejpam-1206	199	4	the	the	DET
ejpam-1206	199	5	complex	complex	ADJ
ejpam-1206	199	6	zeros	zero	NOUN
ejpam-1206	199	7	of	of	ADP
ejpam-1206	199	8	cn,1(x	cn,1(x	NOUN
ejpam-1206	199	9	;	;	PUNCT
ejpam-1206	199	10	ν	ν	X
ejpam-1206	199	11	)	)	PUNCT
ejpam-1206	199	12	and	and	CCONJ
ejpam-1206	199	13	sn,1(x	sn,1(x	NOUN
ejpam-1206	199	14	;	;	PUNCT
ejpam-1206	199	15	ν	ν	X
ejpam-1206	199	16	)	)	PUNCT
ejpam-1206	199	17	are	be	AUX
ejpam-1206	199	18	then	then	ADV
ejpam-1206	199	19	described	describe	VERB
ejpam-1206	199	20	by§	by§	PROPN
ejpam-1206	199	21	x−ν	x−ν	PROPN
ejpam-1206	199	22	cos	cos	PROPN
ejpam-1206	199	23	sin	sin	PROPN
ejpam-1206	199	24	(	(	PUNCT
ejpam-1206	199	25	1	1	NUM
ejpam-1206	199	26	2	2	NUM
ejpam-1206	199	27	πν)γ(ν)±	πν)γ(ν)±	NOUN
ejpam-1206	199	28	ξ	ξ	X
ejpam-1206	199	29	�	�	PROPN
ejpam-1206	199	30	2π	2π	PROPN
ejpam-1206	199	31	nκ	nκ	PROPN
ejpam-1206	199	32	�	�	PROPN
ejpam-1206	199	33	1/2	1/2	NUM
ejpam-1206	199	34	(	(	PUNCT
ejpam-1206	199	35	−i	−i	PROPN
ejpam-1206	199	36	x)ϑ/κ	x)ϑ/κ	PROPN
ejpam-1206	199	37	exp	exp	PROPN
ejpam-1206	199	38	(	(	PUNCT
ejpam-1206	199	39	x	x	NOUN
ejpam-1206	199	40	e−πi/(2κ	e−πi/(2κ	NOUN
ejpam-1206	199	41	)	)	PUNCT
ejpam-1206	199	42	)	)	PUNCT
ejpam-1206	200	1	=	=	PUNCT
ejpam-1206	200	2	0	0	X
ejpam-1206	200	3	.	.	PUNCT
ejpam-1206	201	1	if	if	SCONJ
ejpam-1206	201	2	we	we	PRON
ejpam-1206	201	3	put	put	VERB
ejpam-1206	201	4	x	x	X
ejpam-1206	201	5	=	=	SYM
ejpam-1206	201	6	reiφ+πi/(2n	reiφ+πi/(2n	NOUN
ejpam-1206	201	7	)	)	PUNCT
ejpam-1206	201	8	,	,	PUNCT
ejpam-1206	201	9	(	(	PUNCT
ejpam-1206	201	10	33	33	NUM
ejpam-1206	201	11	)	)	PUNCT
ejpam-1206	201	12	with	with	ADP
ejpam-1206	201	13	r	r	NOUN
ejpam-1206	201	14	=	=	SYM
ejpam-1206	201	15	|x	|x	NOUN
ejpam-1206	201	16	|	|	ADV
ejpam-1206	201	17	,	,	PUNCT
ejpam-1206	201	18	then	then	ADV
ejpam-1206	201	19	we	we	PRON
ejpam-1206	201	20	find	find	VERB
ejpam-1206	201	21	exp	exp	NOUN
ejpam-1206	201	22	{	{	PUNCT
ejpam-1206	201	23	iκr1	iκr1	NOUN
ejpam-1206	201	24	/	/	SYM
ejpam-1206	201	25	κ	κ	PROPN
ejpam-1206	201	26	cos	cos	PROPN
ejpam-1206	201	27	φ	φ	PROPN
ejpam-1206	201	28	/	/	SYM
ejpam-1206	201	29	κ	κ	PROPN
ejpam-1206	201	30	}	}	PUNCT
ejpam-1206	201	31	−υeiφ	−υeiφ	NOUN
ejpam-1206	202	1	=	=	SYM
ejpam-1206	202	2	0	0	PROPN
ejpam-1206	202	3	,	,	PUNCT
ejpam-1206	202	4	(	(	PUNCT
ejpam-1206	202	5	34	34	NUM
ejpam-1206	202	6	)	)	PUNCT
ejpam-1206	203	1	where	where	SCONJ
ejpam-1206	203	2	υ=	υ=	NOUN
ejpam-1206	203	3	λr(ν−	λr(ν−	PUNCT
ejpam-1206	203	4	1	1	NUM
ejpam-1206	203	5	2	2	NUM
ejpam-1206	203	6	)	)	PUNCT
ejpam-1206	203	7	/κ	/κ	SYM
ejpam-1206	203	8	exp	exp	NOUN
ejpam-1206	203	9	(	(	PUNCT
ejpam-1206	203	10	κr1	κr1	NOUN
ejpam-1206	203	11	/	/	SYM
ejpam-1206	203	12	κ	κ	NOUN
ejpam-1206	203	13	sin(φ	sin(φ	PROPN
ejpam-1206	203	14	/	/	SYM
ejpam-1206	203	15	κ	κ	NOUN
ejpam-1206	203	16	)	)	PUNCT
ejpam-1206	203	17	)	)	PUNCT
ejpam-1206	203	18	,	,	PUNCT
ejpam-1206	203	19	λ=	λ=	VERB
ejpam-1206	203	20	(	(	PUNCT
ejpam-1206	203	21	π/2nκ)1/2	π/2nκ)1/2	PROPN
ejpam-1206	203	22	γ(ν	γ(ν	PROPN
ejpam-1206	203	23	)	)	PUNCT
ejpam-1206	203	24	�	�	PROPN
ejpam-1206	203	25	�	�	PROPN
ejpam-1206	203	26	�	�	PROPN
ejpam-1206	203	27	�	�	PROPN
ejpam-1206	203	28	cos	cos	PROPN
ejpam-1206	203	29	sin	sin	PROPN
ejpam-1206	203	30	(	(	PUNCT
ejpam-1206	203	31	1	1	NUM
ejpam-1206	203	32	2	2	NUM
ejpam-1206	203	33	πν	πν	NOUN
ejpam-1206	203	34	)	)	PUNCT
ejpam-1206	203	35	�	�	PROPN
ejpam-1206	203	36	�	�	PROPN
ejpam-1206	203	37	�	�	PROPN
ejpam-1206	203	38	�	�	PROPN
ejpam-1206	203	39	,	,	PUNCT
ejpam-1206	203	40	φ	φ	PROPN
ejpam-1206	203	41	=	=	SYM
ejpam-1206	203	42	1	1	NUM
ejpam-1206	203	43	2	2	NUM
ejpam-1206	203	44	π(1∓	π(1∓	ADP
ejpam-1206	203	45	1	1	NUM
ejpam-1206	203	46	2	2	NUM
ejpam-1206	203	47	)	)	PUNCT
ejpam-1206	203	48	+	+	CCONJ
ejpam-1206	203	49	(	(	PUNCT
ejpam-1206	203	50	ν	ν	X
ejpam-1206	203	51	−	−	PROPN
ejpam-1206	203	52	1	1	NUM
ejpam-1206	203	53	2	2	NUM
ejpam-1206	203	54	)	)	PUNCT
ejpam-1206	203	55	φ	φ	PROPN
ejpam-1206	203	56	/	/	SYM
ejpam-1206	203	57	κ+πδ	κ+πδ	PROPN
ejpam-1206	203	58	,	,	PUNCT
ejpam-1206	203	59	with	with	ADP
ejpam-1206	203	60	δ	δ	PROPN
ejpam-1206	203	61	=	=	SYM
ejpam-1206	203	62	1	1	NUM
ejpam-1206	203	63	if	if	SCONJ
ejpam-1206	203	64	cos	cos	PROPN
ejpam-1206	203	65	1	1	NUM
ejpam-1206	203	66	2	2	NUM
ejpam-1206	203	67	πν	πν	ADP
ejpam-1206	203	68	or	or	CCONJ
ejpam-1206	203	69	sin	sin	VERB
ejpam-1206	203	70	1	1	NUM
ejpam-1206	203	71	2	2	NUM
ejpam-1206	203	72	πν	πν	ADP
ejpam-1206	203	73	>	>	X
ejpam-1206	203	74	0	0	NUM
ejpam-1206	203	75	,	,	PUNCT
ejpam-1206	203	76	and	and	CCONJ
ejpam-1206	203	77	δ	δ	PROPN
ejpam-1206	203	78	=	=	NOUN
ejpam-1206	203	79	0	0	PUNCT
ejpam-1206	204	1	if	if	SCONJ
ejpam-1206	204	2	cos	cos	PROPN
ejpam-1206	204	3	1	1	NUM
ejpam-1206	204	4	2	2	NUM
ejpam-1206	204	5	πν	πν	ADP
ejpam-1206	204	6	or	or	CCONJ
ejpam-1206	204	7	sin	sin	VERB
ejpam-1206	204	8	1	1	NUM
ejpam-1206	204	9	2	2	NUM
ejpam-1206	204	10	πν	πν	ADP
ejpam-1206	204	11	<	<	X
ejpam-1206	204	12	0	0	NUM
ejpam-1206	204	13	.	.	PUNCT
ejpam-1206	205	1	the	the	DET
ejpam-1206	205	2	solution	solution	NOUN
ejpam-1206	205	3	of	of	ADP
ejpam-1206	205	4	(	(	PUNCT
ejpam-1206	205	5	34	34	NUM
ejpam-1206	205	6	)	)	PUNCT
ejpam-1206	205	7	requires	require	VERB
ejpam-1206	205	8	κr1	κr1	NOUN
ejpam-1206	205	9	/	/	SYM
ejpam-1206	205	10	κ	κ	PROPN
ejpam-1206	205	11	cos	cos	PROPN
ejpam-1206	205	12	(	(	PUNCT
ejpam-1206	205	13	φ	φ	PROPN
ejpam-1206	205	14	/	/	SYM
ejpam-1206	205	15	κ	κ	NOUN
ejpam-1206	205	16	)	)	PUNCT
ejpam-1206	205	17	=	=	SYM
ejpam-1206	205	18	φ+	φ+	NOUN
ejpam-1206	205	19	2kπ	2kπ	NOUN
ejpam-1206	205	20	,	,	PUNCT
ejpam-1206	205	21	υ	υ	NOUN
ejpam-1206	205	22	=	=	NOUN
ejpam-1206	205	23	1	1	NUM
ejpam-1206	205	24	to	to	PART
ejpam-1206	205	25	yield	yield	VERB
ejpam-1206	205	26	κr1	κr1	NOUN
ejpam-1206	205	27	/	/	SYM
ejpam-1206	205	28	κ	κ	X
ejpam-1206	205	29	cos	cos	PROPN
ejpam-1206	205	30	(	(	PUNCT
ejpam-1206	205	31	φ	φ	PROPN
ejpam-1206	205	32	/	/	SYM
ejpam-1206	205	33	κ	κ	NOUN
ejpam-1206	205	34	)	)	PUNCT
ejpam-1206	205	35	=	=	SYM
ejpam-1206	205	36	(	(	PUNCT
ejpam-1206	205	37	2k+	2k+	NUM
ejpam-1206	205	38	1	1	NUM
ejpam-1206	205	39	2	2	NUM
ejpam-1206	205	40	)	)	PUNCT
ejpam-1206	205	41	π+	π+	PUNCT
ejpam-1206	205	42	(	(	PUNCT
ejpam-1206	205	43	δ∓	δ∓	PROPN
ejpam-1206	205	44	1	1	NUM
ejpam-1206	205	45	4	4	NUM
ejpam-1206	205	46	)	)	PUNCT
ejpam-1206	205	47	π+	π+	PUNCT
ejpam-1206	205	48	(	(	PUNCT
ejpam-1206	205	49	ν	ν	X
ejpam-1206	205	50	−	−	PROPN
ejpam-1206	205	51	1	1	NUM
ejpam-1206	205	52	2	2	NUM
ejpam-1206	205	53	)	)	PUNCT
ejpam-1206	205	54	φ	φ	PROPN
ejpam-1206	205	55	κ	κ	PROPN
ejpam-1206	205	56	,	,	PUNCT
ejpam-1206	205	57	κr1	κr1	NOUN
ejpam-1206	205	58	/	/	SYM
ejpam-1206	205	59	κ	κ	NOUN
ejpam-1206	205	60	sin	sin	NOUN
ejpam-1206	205	61	(	(	PUNCT
ejpam-1206	205	62	φ	φ	NOUN
ejpam-1206	205	63	/	/	SYM
ejpam-1206	205	64	κ	κ	NOUN
ejpam-1206	205	65	)	)	PUNCT
ejpam-1206	205	66	=	=	SYM
ejpam-1206	206	1	−	−	PROPN
ejpam-1206	206	2	log	log	NOUN
ejpam-1206	206	3	(	(	PUNCT
ejpam-1206	206	4	λr(ν−	λr(ν−	NOUN
ejpam-1206	206	5	1	1	NUM
ejpam-1206	206	6	2	2	NUM
ejpam-1206	206	7	)	)	PUNCT
ejpam-1206	206	8	/κ	/κ	PUNCT
ejpam-1206	206	9	)	)	PUNCT
ejpam-1206	206	10	,	,	PUNCT
ejpam-1206	206	11	where	where	SCONJ
ejpam-1206	206	12	k	k	NOUN
ejpam-1206	206	13	=	=	PUNCT
ejpam-1206	206	14	0,1,2	0,1,2	NUM
ejpam-1206	206	15	,	,	PUNCT
ejpam-1206	206	16	.	.	PUNCT
ejpam-1206	206	17	.	.	PUNCT
ejpam-1206	206	18	.	.	PUNCT
ejpam-1206	206	19	.	.	PUNCT
ejpam-1206	207	1	if	if	SCONJ
ejpam-1206	207	2	the	the	DET
ejpam-1206	207	3	parameter	parameter	NOUN
ejpam-1206	207	4	ν	ν	NOUN
ejpam-1206	207	5	is	be	AUX
ejpam-1206	207	6	such	such	ADJ
ejpam-1206	207	7	that	that	SCONJ
ejpam-1206	207	8	|φ|	|φ|	PROPN
ejpam-1206	207	9	≪	≪	ADJ
ejpam-1206	207	10	1	1	NUM
ejpam-1206	207	11	,	,	PUNCT
ejpam-1206	207	12	then	then	ADV
ejpam-1206	207	13	we	we	PRON
ejpam-1206	207	14	find	find	VERB
ejpam-1206	207	15	approximately	approximately	ADV
ejpam-1206	207	16	κr1	κr1	NOUN
ejpam-1206	207	17	/	/	SYM
ejpam-1206	207	18	κ	κ	NOUN
ejpam-1206	207	19	≃	≃	NOUN
ejpam-1206	207	20	(	(	PUNCT
ejpam-1206	207	21	2k+	2k+	NUM
ejpam-1206	207	22	1	1	NUM
ejpam-1206	207	23	2	2	NUM
ejpam-1206	207	24	)	)	PUNCT
ejpam-1206	207	25	π+	π+	PUNCT
ejpam-1206	207	26	(	(	PUNCT
ejpam-1206	207	27	δ∓	δ∓	PROPN
ejpam-1206	207	28	1	1	NUM
ejpam-1206	207	29	4	4	NUM
ejpam-1206	207	30	)	)	PUNCT
ejpam-1206	207	31	π	π	PROPN
ejpam-1206	207	32	,	,	PUNCT
ejpam-1206	207	33	k	k	PROPN
ejpam-1206	207	34	=	=	NOUN
ejpam-1206	207	35	0,1,2	0,1,2	NUM
ejpam-1206	207	36	,	,	PUNCT
ejpam-1206	207	37	.	.	PUNCT
ejpam-1206	207	38	.	.	PUNCT
ejpam-1206	207	39	.	.	PUNCT
ejpam-1206	208	1	,	,	PUNCT
ejpam-1206	208	2	(	(	PUNCT
ejpam-1206	208	3	35	35	NUM
ejpam-1206	208	4	)	)	PUNCT
ejpam-1206	208	5	φ	φ	PROPN
ejpam-1206	208	6	≃	≃	PROPN
ejpam-1206	208	7	−κarcsin	−κarcsin	PROPN
ejpam-1206	208	8	(	(	PUNCT
ejpam-1206	208	9	log	log	X
ejpam-1206	208	10	(	(	PUNCT
ejpam-1206	208	11	λr(ν−	λr(ν−	NOUN
ejpam-1206	208	12	1	1	NUM
ejpam-1206	208	13	2	2	NUM
ejpam-1206	208	14	)	)	PUNCT
ejpam-1206	208	15	/κ	/κ	SYM
ejpam-1206	208	16	)	)	PUNCT
ejpam-1206	208	17	κr1	κr1	PROPN
ejpam-1206	208	18	/	/	SYM
ejpam-1206	208	19	κ	κ	NOUN
ejpam-1206	208	20	)	)	PUNCT
ejpam-1206	208	21	,	,	PUNCT
ejpam-1206	208	22	(	(	PUNCT
ejpam-1206	208	23	36	36	NUM
ejpam-1206	208	24	)	)	PUNCT
ejpam-1206	208	25	where	where	SCONJ
ejpam-1206	208	26	the	the	DET
ejpam-1206	208	27	upper	upper	ADJ
ejpam-1206	208	28	or	or	CCONJ
ejpam-1206	208	29	lower	low	ADJ
ejpam-1206	208	30	sign	sign	NOUN
ejpam-1206	208	31	corresponds	correspond	NOUN
ejpam-1206	208	32	to	to	ADP
ejpam-1206	208	33	cn,1(x	cn,1(x	NOUN
ejpam-1206	208	34	;	;	PUNCT
ejpam-1206	208	35	ν	ν	NOUN
ejpam-1206	208	36	)	)	PUNCT
ejpam-1206	208	37	or	or	CCONJ
ejpam-1206	208	38	sn,1(x	sn,1(x	NOUN
ejpam-1206	208	39	;	;	PUNCT
ejpam-1206	208	40	ν	ν	NOUN
ejpam-1206	208	41	)	)	PUNCT
ejpam-1206	208	42	,	,	PUNCT
ejpam-1206	208	43	respectively	respectively	ADV
ejpam-1206	208	44	.	.	PUNCT
ejpam-1206	209	1	the	the	DET
ejpam-1206	209	2	asymptotic	asymptotic	ADJ
ejpam-1206	209	3	distribution	distribution	NOUN
ejpam-1206	209	4	of	of	ADP
ejpam-1206	209	5	the	the	DET
ejpam-1206	209	6	complex	complex	ADJ
ejpam-1206	209	7	zeros	zero	NOUN
ejpam-1206	209	8	is	be	AUX
ejpam-1206	209	9	then	then	ADV
ejpam-1206	209	10	obtained	obtain	VERB
ejpam-1206	209	11	from	from	ADP
ejpam-1206	209	12	(	(	PUNCT
ejpam-1206	209	13	33	33	NUM
ejpam-1206	209	14	)	)	PUNCT
ejpam-1206	209	15	.	.	PUNCT
ejpam-1206	210	1	§	§	PROPN
ejpam-1206	210	2	when	when	SCONJ
ejpam-1206	210	3	ν	ν	PROPN
ejpam-1206	210	4	is	be	AUX
ejpam-1206	210	5	an	an	DET
ejpam-1206	210	6	odd	odd	ADJ
ejpam-1206	210	7	(	(	PUNCT
ejpam-1206	210	8	resp	resp	NOUN
ejpam-1206	210	9	.	.	PUNCT
ejpam-1206	211	1	even	even	ADV
ejpam-1206	211	2	)	)	PUNCT
ejpam-1206	211	3	integer	integer	NOUN
ejpam-1206	211	4	and	and	CCONJ
ejpam-1206	211	5	n	n	NOUN
ejpam-1206	211	6	is	be	AUX
ejpam-1206	211	7	odd	odd	ADJ
ejpam-1206	211	8	the	the	DET
ejpam-1206	211	9	leading	lead	VERB
ejpam-1206	211	10	term	term	NOUN
ejpam-1206	211	11	in	in	ADP
ejpam-1206	211	12	the	the	DET
ejpam-1206	211	13	algebraic	algebraic	ADJ
ejpam-1206	211	14	expansion	expansion	NOUN
ejpam-1206	211	15	in	in	ADP
ejpam-1206	211	16	(	(	PUNCT
ejpam-1206	211	17	28	28	NUM
ejpam-1206	211	18	)	)	PUNCT
ejpam-1206	211	19	corresponds	correspond	VERB
ejpam-1206	211	20	to	to	ADP
ejpam-1206	211	21	k	k	PROPN
ejpam-1206	211	22	=	=	PUNCT
ejpam-1206	211	23	1	1	X
ejpam-1206	211	24	.	.	PUNCT
ejpam-1206	212	1	the	the	DET
ejpam-1206	212	2	modification	modification	NOUN
ejpam-1206	212	3	required	require	VERB
ejpam-1206	212	4	in	in	ADP
ejpam-1206	212	5	this	this	DET
ejpam-1206	212	6	case	case	NOUN
ejpam-1206	212	7	is	be	AUX
ejpam-1206	212	8	easily	easily	ADV
ejpam-1206	212	9	carried	carry	VERB
ejpam-1206	212	10	out	out	ADP
ejpam-1206	212	11	.	.	PUNCT
ejpam-1206	213	1	r.	r.	PROPN
ejpam-1206	213	2	paris	paris	PROPN
ejpam-1206	213	3	/	/	SYM
ejpam-1206	213	4	eur	eur	PROPN
ejpam-1206	213	5	.	.	PUNCT
ejpam-1206	214	1	j.	j.	PROPN
ejpam-1206	214	2	pure	pure	PROPN
ejpam-1206	214	3	appl	appl	PROPN
ejpam-1206	214	4	.	.	PROPN
ejpam-1206	214	5	math	math	PROPN
ejpam-1206	214	6	,	,	PUNCT
ejpam-1206	214	7	5	5	NUM
ejpam-1206	214	8	(	(	PUNCT
ejpam-1206	214	9	2012	2012	NUM
ejpam-1206	214	10	)	)	PUNCT
ejpam-1206	214	11	,	,	PUNCT
ejpam-1206	214	12	260	260	NUM
ejpam-1206	214	13	-	-	SYM
ejpam-1206	214	14	281	281	NUM
ejpam-1206	214	15	271	271	NUM
ejpam-1206	214	16	4.3	4.3	NUM
ejpam-1206	214	17	.	.	PUNCT
ejpam-1206	214	18	numerical	numerical	PROPN
ejpam-1206	214	19	results	result	NOUN
ejpam-1206	214	20	the	the	DET
ejpam-1206	214	21	zeros	zero	NOUN
ejpam-1206	214	22	of	of	ADP
ejpam-1206	214	23	cn,1(x	cn,1(x	NOUN
ejpam-1206	214	24	;	;	PUNCT
ejpam-1206	214	25	ν	ν	X
ejpam-1206	214	26	)	)	PUNCT
ejpam-1206	214	27	and	and	CCONJ
ejpam-1206	214	28	sn,1(x	sn,1(x	NOUN
ejpam-1206	214	29	;	;	PUNCT
ejpam-1206	215	1	ν	ν	X
ejpam-1206	215	2	)	)	PUNCT
ejpam-1206	215	3	have	have	AUX
ejpam-1206	215	4	been	be	AUX
ejpam-1206	215	5	calculated	calculate	VERB
ejpam-1206	215	6	by	by	ADP
ejpam-1206	215	7	means	mean	NOUN
ejpam-1206	215	8	of	of	ADP
ejpam-1206	215	9	the	the	DET
ejpam-1206	215	10	secant	secant	ADJ
ejpam-1206	215	11	method	method	NOUN
ejpam-1206	215	12	in	in	ADP
ejpam-1206	215	13	mathematica	mathematica	PROPN
ejpam-1206	215	14	applied	apply	VERB
ejpam-1206	215	15	to	to	ADP
ejpam-1206	215	16	the	the	DET
ejpam-1206	215	17	combinations	combination	NOUN
ejpam-1206	215	18	un,1(i	un,1(i	PROPN
ejpam-1206	215	19	x	x	SYM
ejpam-1206	215	20	;	;	PUNCT
ejpam-1206	215	21	ν)±	ν)±	PROPN
ejpam-1206	215	22	un,1(−i	un,1(−i	PROPN
ejpam-1206	215	23	x	x	X
ejpam-1206	215	24	;	;	PUNCT
ejpam-1206	215	25	ν	ν	X
ejpam-1206	215	26	)	)	PUNCT
ejpam-1206	215	27	in	in	ADP
ejpam-1206	215	28	(	(	PUNCT
ejpam-1206	215	29	27	27	NUM
ejpam-1206	215	30	)	)	PUNCT
ejpam-1206	215	31	.	.	PUNCT
ejpam-1206	216	1	the	the	DET
ejpam-1206	216	2	function	function	NOUN
ejpam-1206	216	3	un,1(z;ν	un,1(z;ν	PROPN
ejpam-1206	216	4	)	)	PUNCT
ejpam-1206	216	5	was	be	AUX
ejpam-1206	216	6	computed	compute	VERB
ejpam-1206	216	7	by	by	ADP
ejpam-1206	216	8	suitable	suitable	ADJ
ejpam-1206	216	9	truncation	truncation	NOUN
ejpam-1206	216	10	of	of	ADP
ejpam-1206	216	11	its	its	PRON
ejpam-1206	216	12	series	series	NOUN
ejpam-1206	216	13	representation	representation	NOUN
ejpam-1206	216	14	in	in	ADP
ejpam-1206	216	15	(	(	PUNCT
ejpam-1206	216	16	8)	8)	NUM
ejpam-1206	216	17	and	and	CCONJ
ejpam-1206	216	18	asymptotic	asymptotic	ADJ
ejpam-1206	216	19	estimates	estimate	NOUN
ejpam-1206	216	20	obtained	obtain	VERB
ejpam-1206	216	21	from	from	ADP
ejpam-1206	216	22	(	(	PUNCT
ejpam-1206	216	23	33	33	NUM
ejpam-1206	216	24	)	)	PUNCT
ejpam-1206	216	25	,	,	PUNCT
ejpam-1206	216	26	(	(	PUNCT
ejpam-1206	216	27	35	35	NUM
ejpam-1206	216	28	)	)	PUNCT
ejpam-1206	216	29	and	and	CCONJ
ejpam-1206	216	30	(	(	PUNCT
ejpam-1206	216	31	36	36	NUM
ejpam-1206	216	32	)	)	PUNCT
ejpam-1206	216	33	for	for	ADP
ejpam-1206	216	34	the	the	DET
ejpam-1206	216	35	complex	complex	ADJ
ejpam-1206	216	36	zeros	zero	NOUN
ejpam-1206	216	37	and	and	CCONJ
ejpam-1206	216	38	(	(	PUNCT
ejpam-1206	216	39	31	31	NUM
ejpam-1206	216	40	)	)	PUNCT
ejpam-1206	216	41	for	for	ADP
ejpam-1206	216	42	the	the	DET
ejpam-1206	216	43	real	real	ADJ
ejpam-1206	216	44	zeros	zero	NOUN
ejpam-1206	216	45	were	be	AUX
ejpam-1206	216	46	employed	employ	VERB
ejpam-1206	216	47	to	to	PART
ejpam-1206	216	48	initiate	initiate	VERB
ejpam-1206	216	49	the	the	DET
ejpam-1206	216	50	process	process	NOUN
ejpam-1206	216	51	.	.	PUNCT
ejpam-1206	217	1	the	the	DET
ejpam-1206	217	2	complex	complex	ADJ
ejpam-1206	217	3	zeros	zero	NOUN
ejpam-1206	217	4	,	,	PUNCT
ejpam-1206	217	5	together	together	ADV
ejpam-1206	217	6	with	with	ADP
ejpam-1206	217	7	their	their	PRON
ejpam-1206	217	8	asymptotic	asymptotic	ADJ
ejpam-1206	217	9	approximations	approximation	NOUN
ejpam-1206	217	10	,	,	PUNCT
ejpam-1206	217	11	are	be	AUX
ejpam-1206	217	12	presented	present	VERB
ejpam-1206	217	13	in	in	ADP
ejpam-1206	217	14	tables	table	NOUN
ejpam-1206	217	15	2	2	NUM
ejpam-1206	217	16	and	and	CCONJ
ejpam-1206	217	17	3	3	NUM
ejpam-1206	217	18	for	for	ADP
ejpam-1206	217	19	n=	n=	ADJ
ejpam-1206	217	20	4	4	NUM
ejpam-1206	217	21	and	and	CCONJ
ejpam-1206	217	22	n=	n=	ADJ
ejpam-1206	217	23	5	5	NUM
ejpam-1206	217	24	and	and	CCONJ
ejpam-1206	217	25	different	different	ADJ
ejpam-1206	217	26	values	value	NOUN
ejpam-1206	217	27	of	of	ADP
ejpam-1206	217	28	ν	ν	NOUN
ejpam-1206	217	29	.	.	PUNCT
ejpam-1206	218	1	it	it	PRON
ejpam-1206	218	2	will	will	AUX
ejpam-1206	218	3	be	be	AUX
ejpam-1206	218	4	observed	observe	VERB
ejpam-1206	218	5	that	that	SCONJ
ejpam-1206	218	6	these	these	DET
ejpam-1206	218	7	zeros	zero	NOUN
ejpam-1206	218	8	arise	arise	VERB
ejpam-1206	218	9	in	in	ADP
ejpam-1206	218	10	conjugate	conjugate	ADJ
ejpam-1206	218	11	pairs	pair	NOUN
ejpam-1206	218	12	(	(	PUNCT
ejpam-1206	218	13	when	when	SCONJ
ejpam-1206	218	14	ν	ν	NOUN
ejpam-1206	218	15	is	be	AUX
ejpam-1206	218	16	real	real	ADJ
ejpam-1206	218	17	)	)	PUNCT
ejpam-1206	218	18	situated	situate	VERB
ejpam-1206	218	19	near	near	ADP
ejpam-1206	218	20	the	the	DET
ejpam-1206	218	21	anti	anti	ADJ
ejpam-1206	218	22	-	-	ADJ
ejpam-1206	218	23	stokes	stokes	ADJ
ejpam-1206	218	24	lines	line	NOUN
ejpam-1206	218	25	arg	arg	VERB
ejpam-1206	218	26	x	x	PUNCT
ejpam-1206	218	27	=	=	PUNCT
ejpam-1206	218	28	±π/(2n	±π/(2n	NOUN
ejpam-1206	218	29	)	)	PUNCT
ejpam-1206	218	30	.	.	PUNCT
ejpam-1206	219	1	it	it	PRON
ejpam-1206	219	2	should	should	AUX
ejpam-1206	219	3	also	also	ADV
ejpam-1206	219	4	be	be	AUX
ejpam-1206	219	5	noted	note	VERB
ejpam-1206	219	6	that	that	SCONJ
ejpam-1206	219	7	as	as	SCONJ
ejpam-1206	219	8	ν	ν	PROPN
ejpam-1206	219	9	increases	increase	VERB
ejpam-1206	219	10	some	some	DET
ejpam-1206	219	11	real	real	ADJ
ejpam-1206	219	12	zeros	zero	NOUN
ejpam-1206	219	13	are	be	AUX
ejpam-1206	219	14	present	present	ADJ
ejpam-1206	219	15	;	;	PUNCT
ejpam-1206	219	16	this	this	PRON
ejpam-1206	219	17	is	be	AUX
ejpam-1206	219	18	discussed	discuss	VERB
ejpam-1206	219	19	more	more	ADV
ejpam-1206	219	20	fully	fully	ADV
ejpam-1206	219	21	at	at	ADP
ejpam-1206	219	22	the	the	DET
ejpam-1206	219	23	end	end	NOUN
ejpam-1206	219	24	of	of	ADP
ejpam-1206	219	25	this	this	DET
ejpam-1206	219	26	section	section	NOUN
ejpam-1206	219	27	.	.	PUNCT
ejpam-1206	220	1	table	table	NOUN
ejpam-1206	220	2	2	2	NUM
ejpam-1206	220	3	:	:	PUNCT
ejpam-1206	220	4	the	the	DET
ejpam-1206	220	5	complex	complex	ADJ
ejpam-1206	220	6	zeros	zero	NOUN
ejpam-1206	220	7	xk	xk	X
ejpam-1206	220	8	of	of	ADP
ejpam-1206	220	9	cn,1(x	cn,1(x	NOUN
ejpam-1206	220	10	;	;	PUNCT
ejpam-1206	220	11	ν	ν	X
ejpam-1206	220	12	)	)	PUNCT
ejpam-1206	220	13	in	in	ADP
ejpam-1206	220	14	the	the	DET
ejpam-1206	220	15	right	right	ADJ
ejpam-1206	220	16	-	-	PUNCT
ejpam-1206	220	17	half	half	NOUN
ejpam-1206	220	18	plane	plane	NOUN
ejpam-1206	220	19	for	for	ADP
ejpam-1206	220	20	different	different	ADJ
ejpam-1206	220	21	n	n	NOUN
ejpam-1206	220	22	and	and	CCONJ
ejpam-1206	220	23	ν	ν	NOUN
ejpam-1206	220	24	.	.	PUNCT
ejpam-1206	221	1	n=	n=	ADJ
ejpam-1206	221	2	4	4	NUM
ejpam-1206	221	3	,	,	PUNCT
ejpam-1206	221	4	ν	ν	NOUN
ejpam-1206	221	5	=	=	SYM
ejpam-1206	221	6	1	1	NUM
ejpam-1206	221	7	2	2	NUM
ejpam-1206	221	8	n=	n=	ADJ
ejpam-1206	221	9	4	4	NUM
ejpam-1206	221	10	,	,	PUNCT
ejpam-1206	221	11	ν	ν	NOUN
ejpam-1206	221	12	=	=	SYM
ejpam-1206	221	13	2	2	NUM
ejpam-1206	221	14	3	3	NUM
ejpam-1206	221	15	k	k	PROPN
ejpam-1206	221	16	xk	xk	PROPN
ejpam-1206	221	17	asymptotic	asymptotic	PROPN
ejpam-1206	221	18	xk	xk	PROPN
ejpam-1206	221	19	xk	xk	PROPN
ejpam-1206	221	20	asymptotic	asymptotic	PROPN
ejpam-1206	221	21	xk	xk	PROPN
ejpam-1206	221	22	0	0	NUM
ejpam-1206	221	23	3.1041±	3.1041±	NUM
ejpam-1206	221	24	1.6890i	1.6890i	NUM
ejpam-1206	221	25	3.0410±	3.0410±	NUM
ejpam-1206	221	26	1.6533i	1.6533i	NUM
ejpam-1206	221	27	3.2753±	3.2753±	NUM
ejpam-1206	221	28	1.1203i	1.1203i	NUM
ejpam-1206	221	29	3.2777±	3.2777±	NUM
ejpam-1206	221	30	1.1125i	1.1125i	NUM
ejpam-1206	221	31	1	1	NUM
ejpam-1206	221	32	6.4566±	6.4566±	NUM
ejpam-1206	221	33	2.9845i	2.9845i	NUM
ejpam-1206	221	34	6.4330±	6.4330±	NUM
ejpam-1206	221	35	2.9742i	2.9742i	VERB
ejpam-1206	221	36	6.6574±	6.6574±	NUM
ejpam-1206	221	37	2.4767i	2.4767i	NOUN
ejpam-1206	221	38	6.6433±	6.6433±	NUM
ejpam-1206	221	39	2.4690i	2.4690i	NUM
ejpam-1206	221	40	2	2	NUM
ejpam-1206	221	41	9.2953±	9.2953±	NUM
ejpam-1206	221	42	4.1250i	4.1250i	NOUN
ejpam-1206	221	43	9.2821±	9.2821±	NUM
ejpam-1206	222	1	4.1194i	4.1194i	ADJ
ejpam-1206	222	2	9.4904±	9.4904±	NUM
ejpam-1206	222	3	3.6411i	3.6411i	NUM
ejpam-1206	222	4	9.4816±	9.4816±	NUM
ejpam-1206	222	5	3.6367i	3.6367i	NUM
ejpam-1206	222	6	3	3	NUM
ejpam-1206	222	7	11.8692±	11.8692±	NUM
ejpam-1206	223	1	5.1697i	5.1697i	NOUN
ejpam-1206	223	2	11.8604±	11.8604±	NUM
ejpam-1206	223	3	5.1660i	5.1660i	NOUN
ejpam-1206	223	4	12.0592±	12.0592±	NUM
ejpam-1206	223	5	4.7025i	4.7025i	NUM
ejpam-1206	223	6	12.0528±	12.0528±	NUM
ejpam-1206	223	7	4.6995i	4.6995i	NUM
ejpam-1206	223	8	4	4	NUM
ejpam-1206	223	9	14.2687±	14.2687±	NUM
ejpam-1206	223	10	6.1487i	6.1487i	NUM
ejpam-1206	223	11	14.2622±	14.2622±	NUM
ejpam-1206	224	1	6.1459i	6.1459i	NUM
ejpam-1206	225	1	14.4544±	14.4544±	NUM
ejpam-1206	226	1	5.6941i	5.6941i	NOUN
ejpam-1206	226	2	14.4494±	14.4494±	NUM
ejpam-1206	226	3	5.6919i	5.6919i	NUM
ejpam-1206	226	4	5	5	NUM
ejpam-1206	226	5	16.5406±	16.5406±	NUM
ejpam-1206	226	6	7.0783i	7.0783i	NOUN
ejpam-1206	226	7	16.5354±	16.5354±	PROPN
ejpam-1206	226	8	7.0761i	7.0761i	NUM
ejpam-1206	226	9	16.7225±	16.7225±	NUM
ejpam-1206	226	10	6.6341i	6.6341i	NOUN
ejpam-1206	226	11	16.7184±	16.7184±	NUM
ejpam-1206	226	12	6.6322i	6.6322i	NUM
ejpam-1206	226	13	n=	n=	ADJ
ejpam-1206	226	14	4	4	NUM
ejpam-1206	226	15	,	,	PUNCT
ejpam-1206	226	16	ν	ν	X
ejpam-1206	226	17	=	=	SYM
ejpam-1206	226	18	3	3	NUM
ejpam-1206	226	19	2	2	NUM
ejpam-1206	226	20	n=	n=	ADJ
ejpam-1206	226	21	5	5	NUM
ejpam-1206	226	22	,	,	PUNCT
ejpam-1206	226	23	ν	ν	X
ejpam-1206	226	24	=	=	SYM
ejpam-1206	226	25	1	1	NUM
ejpam-1206	226	26	2	2	NUM
ejpam-1206	226	27	k	k	PROPN
ejpam-1206	226	28	xk	xk	PROPN
ejpam-1206	226	29	asymptotic	asymptotic	PROPN
ejpam-1206	226	30	xk	xk	PROPN
ejpam-1206	226	31	xk	xk	PROPN
ejpam-1206	226	32	asymptotic	asymptotic	PROPN
ejpam-1206	226	33	xk	xk	PROPN
ejpam-1206	226	34	0	0	PROPN
ejpam-1206	227	1	1.8582	1.8582	NUM
ejpam-1206	227	2	1.0126±	1.0126±	NUM
ejpam-1206	227	3	0.2153i	0.2153i	PROPN
ejpam-1206	227	4	3.3130±	3.3130±	NUM
ejpam-1206	227	5	1.6108i	1.6108i	NUM
ejpam-1206	227	6	3.2058±	3.2058±	NUM
ejpam-1206	227	7	1.5728i	1.5728i	NUM
ejpam-1206	227	8	1	1	NUM
ejpam-1206	227	9	5.3221±	5.3221±	NUM
ejpam-1206	227	10	0.6644i	0.6644i	ADP
ejpam-1206	227	11	5.3306±	5.3306±	NUM
ejpam-1206	227	12	0.7204i	0.7204i	ADV
ejpam-1206	227	13	7.1928±	7.1928±	NUM
ejpam-1206	227	14	2.7755i	2.7755i	NUM
ejpam-1206	227	15	7.1544±	7.1544±	PROPN
ejpam-1206	227	16	2.7627i	2.7627i	NUM
ejpam-1206	227	17	2	2	NUM
ejpam-1206	227	18	8.5087±	8.5087±	NUM
ejpam-1206	227	19	1.9237i	1.9237i	NUM
ejpam-1206	227	20	8.4553±	8.4553±	NUM
ejpam-1206	227	21	1.9032i	1.9032i	NUM
ejpam-1206	227	22	10.6035±	10.6035±	NUM
ejpam-1206	227	23	3.8433i	3.8433i	NUM
ejpam-1206	227	24	10.5819±	10.5819±	NUM
ejpam-1206	227	25	3.8362i	3.8362i	PROPN
ejpam-1206	227	26	3	3	NUM
ejpam-1206	227	27	11.2300±	11.2300±	NOUN
ejpam-1206	227	28	3.0161i	3.0161i	NUM
ejpam-1206	227	29	11.1794±	11.1794±	NUM
ejpam-1206	227	30	2.9958i	2.9958i	NUM
ejpam-1206	227	31	13.7597±	13.7597±	NUM
ejpam-1206	227	32	4.8439i	4.8439i	NOUN
ejpam-1206	228	1	13.7450±	13.7450±	NUM
ejpam-1206	228	2	4.8391i	4.8391i	NOUN
ejpam-1206	228	3	4	4	NUM
ejpam-1206	228	4	13.7215±	13.7215±	NUM
ejpam-1206	228	5	4.0352i	4.0352i	NUM
ejpam-1206	228	6	13.6754±	13.6754±	NUM
ejpam-1206	229	1	4.0164i	4.0164i	NOUN
ejpam-1206	229	2	16.7445±	16.7445±	NUM
ejpam-1206	230	1	5.7959i	5.7959i	NUM
ejpam-1206	230	2	16.7335±	16.7335±	NUM
ejpam-1206	230	3	5.7923i	5.7923i	ADJ
ejpam-1206	230	4	5	5	NUM
ejpam-1206	230	5	16.0595±	16.0595±	NUM
ejpam-1206	230	6	4.9977i	4.9977i	NOUN
ejpam-1206	230	7	16.0161±	16.0161±	NUM
ejpam-1206	230	8	4.9817i	4.9817i	NUM
ejpam-1206	230	9	19.6017±	19.6017±	NUM
ejpam-1206	230	10	6.7107i	6.7107i	NUM
ejpam-1206	230	11	19.5931±	19.5931±	NUM
ejpam-1206	230	12	6.7078i	6.7078i	NUM
ejpam-1206	230	13	when	when	SCONJ
ejpam-1206	230	14	n	n	PRON
ejpam-1206	230	15	is	be	AUX
ejpam-1206	230	16	even	even	ADV
ejpam-1206	230	17	and	and	CCONJ
ejpam-1206	230	18	ν	ν	NOUN
ejpam-1206	230	19	is	be	AUX
ejpam-1206	230	20	odd	odd	ADJ
ejpam-1206	230	21	(	(	PUNCT
ejpam-1206	230	22	resp	resp	NOUN
ejpam-1206	230	23	.	.	PUNCT
ejpam-1206	231	1	even	even	ADV
ejpam-1206	231	2	)	)	PUNCT
ejpam-1206	231	3	,	,	PUNCT
ejpam-1206	231	4	the	the	DET
ejpam-1206	231	5	zeros	zero	NOUN
ejpam-1206	231	6	of	of	ADP
ejpam-1206	231	7	cn,1(x	cn,1(x	NOUN
ejpam-1206	231	8	;	;	PUNCT
ejpam-1206	231	9	ν	ν	X
ejpam-1206	231	10	)	)	PUNCT
ejpam-1206	231	11	(	(	PUNCT
ejpam-1206	231	12	resp	resp	NOUN
ejpam-1206	231	13	.	.	PUNCT
ejpam-1206	232	1	sn,1(x	sn,1(x	NOUN
ejpam-1206	232	2	;	;	PUNCT
ejpam-1206	232	3	ν	ν	X
ejpam-1206	232	4	)	)	PUNCT
ejpam-1206	232	5	)	)	PUNCT
ejpam-1206	232	6	are	be	AUX
ejpam-1206	232	7	all	all	ADV
ejpam-1206	232	8	real	real	ADJ
ejpam-1206	232	9	;	;	PUNCT
ejpam-1206	232	10	see	see	VERB
ejpam-1206	232	11	the	the	DET
ejpam-1206	232	12	appendix	appendix	NOUN
ejpam-1206	232	13	.	.	PUNCT
ejpam-1206	233	1	the	the	DET
ejpam-1206	233	2	zeroth	zeroth	ADJ
ejpam-1206	233	3	-	-	PUNCT
ejpam-1206	233	4	order	order	NOUN
ejpam-1206	233	5	approximation	approximation	NOUN
ejpam-1206	233	6	x	x	X
ejpam-1206	233	7	(	(	PUNCT
ejpam-1206	233	8	0	0	NUM
ejpam-1206	233	9	)	)	PUNCT
ejpam-1206	233	10	k	k	NOUN
ejpam-1206	233	11	for	for	ADP
ejpam-1206	233	12	these	these	DET
ejpam-1206	233	13	zeros	zero	NOUN
ejpam-1206	233	14	is	be	AUX
ejpam-1206	233	15	given	give	VERB
ejpam-1206	233	16	by	by	ADP
ejpam-1206	233	17	the	the	DET
ejpam-1206	233	18	first	first	ADJ
ejpam-1206	233	19	equation	equation	NOUN
ejpam-1206	233	20	in	in	ADP
ejpam-1206	233	21	(	(	PUNCT
ejpam-1206	233	22	31	31	NUM
ejpam-1206	233	23	)	)	PUNCT
ejpam-1206	233	24	with	with	ADP
ejpam-1206	233	25	ε	ε	PROPN
ejpam-1206	233	26	=	=	SYM
ejpam-1206	233	27	1	1	NUM
ejpam-1206	233	28	2	2	NUM
ejpam-1206	233	29	(	(	PUNCT
ejpam-1206	233	30	resp	resp	NOUN
ejpam-1206	233	31	.	.	PUNCT
ejpam-1206	234	1	1	1	NUM
ejpam-1206	234	2	)	)	PUNCT
ejpam-1206	234	3	.	.	PUNCT
ejpam-1206	235	1	for	for	ADP
ejpam-1206	235	2	example	example	NOUN
ejpam-1206	235	3	,	,	PUNCT
ejpam-1206	235	4	when	when	SCONJ
ejpam-1206	235	5	n	n	X
ejpam-1206	235	6	=	=	SYM
ejpam-1206	235	7	4	4	NUM
ejpam-1206	235	8	,	,	PUNCT
ejpam-1206	235	9	we	we	PRON
ejpam-1206	235	10	find	find	VERB
ejpam-1206	235	11	κ	κ	NOUN
ejpam-1206	235	12	=	=	NOUN
ejpam-1206	235	13	3	3	NUM
ejpam-1206	235	14	4	4	NUM
ejpam-1206	235	15	and	and	CCONJ
ejpam-1206	235	16	ϑ	ϑ	X
ejpam-1206	235	17	=	=	SYM
ejpam-1206	235	18	1	1	NUM
ejpam-1206	235	19	4	4	NUM
ejpam-1206	235	20	ν	ν	NOUN
ejpam-1206	235	21	−	−	NUM
ejpam-1206	235	22	1	1	NUM
ejpam-1206	235	23	2	2	NUM
ejpam-1206	235	24	,	,	PUNCT
ejpam-1206	235	25	so	so	SCONJ
ejpam-1206	235	26	that	that	SCONJ
ejpam-1206	235	27	x	x	X
ejpam-1206	235	28	(	(	PUNCT
ejpam-1206	235	29	0	0	NUM
ejpam-1206	235	30	)	)	PUNCT
ejpam-1206	235	31	k	k	NOUN
ejpam-1206	235	32	=	=	PUNCT
ejpam-1206	235	33	�	�	PROPN
ejpam-1206	235	34	8π	8π	NUM
ejpam-1206	235	35	3	3	NUM
ejpam-1206	235	36	p	p	NOUN
ejpam-1206	235	37	3	3	NUM
ejpam-1206	235	38	(	(	PUNCT
ejpam-1206	235	39	k+	k+	X
ejpam-1206	235	40	ε+	ε+	NOUN
ejpam-1206	235	41	1	1	NUM
ejpam-1206	235	42	3	3	NUM
ejpam-1206	235	43	−	−	NOUN
ejpam-1206	235	44	1	1	NUM
ejpam-1206	235	45	6	6	NUM
ejpam-1206	235	46	ν	ν	NOUN
ejpam-1206	235	47	)	)	PUNCT
ejpam-1206	235	48	�	�	PROPN
ejpam-1206	235	49	3/4	3/4	NUM
ejpam-1206	235	50	(	(	PUNCT
ejpam-1206	235	51	k	k	NOUN
ejpam-1206	235	52	=	=	NOUN
ejpam-1206	235	53	0,1,2	0,1,2	NUM
ejpam-1206	235	54	,	,	PUNCT
ejpam-1206	235	55	.	.	PUNCT
ejpam-1206	235	56	.	.	PUNCT
ejpam-1206	235	57	.	.	PUNCT
ejpam-1206	235	58	)	)	PUNCT
ejpam-1206	235	59	.	.	PUNCT
ejpam-1206	236	1	the	the	DET
ejpam-1206	236	2	first	first	ADJ
ejpam-1206	236	3	-	-	PUNCT
ejpam-1206	236	4	order	order	NOUN
ejpam-1206	236	5	approximation	approximation	NOUN
ejpam-1206	236	6	x	x	X
ejpam-1206	236	7	(	(	PUNCT
ejpam-1206	236	8	1	1	X
ejpam-1206	236	9	)	)	PUNCT
ejpam-1206	236	10	k	k	X
ejpam-1206	236	11	is	be	AUX
ejpam-1206	236	12	described	describe	VERB
ejpam-1206	236	13	by	by	ADP
ejpam-1206	236	14	the	the	DET
ejpam-1206	236	15	second	second	ADJ
ejpam-1206	236	16	equation	equation	NOUN
ejpam-1206	236	17	in	in	ADP
ejpam-1206	236	18	(	(	PUNCT
ejpam-1206	236	19	31	31	NUM
ejpam-1206	236	20	)	)	PUNCT
ejpam-1206	236	21	,	,	PUNCT
ejpam-1206	236	22	with	with	ADP
ejpam-1206	236	23	the	the	DET
ejpam-1206	236	24	coefficient	coefficient	PROPN
ejpam-1206	236	25	c1	c1	PROPN
ejpam-1206	236	26	obtained	obtain	VERB
ejpam-1206	236	27	from	from	ADP
ejpam-1206	236	28	(	(	PUNCT
ejpam-1206	236	29	15	15	NUM
ejpam-1206	236	30	)	)	PUNCT
ejpam-1206	236	31	.	.	PUNCT
ejpam-1206	237	1	the	the	DET
ejpam-1206	237	2	calculation	calculation	NOUN
ejpam-1206	237	3	of	of	ADP
ejpam-1206	237	4	the	the	DET
ejpam-1206	237	5	real	real	ADJ
ejpam-1206	237	6	zeros	zero	NOUN
ejpam-1206	237	7	of	of	ADP
ejpam-1206	237	8	cn,1(x	cn,1(x	NOUN
ejpam-1206	237	9	;	;	PUNCT
ejpam-1206	237	10	ν	ν	X
ejpam-1206	237	11	)	)	PUNCT
ejpam-1206	237	12	and	and	CCONJ
ejpam-1206	237	13	sn,1(x	sn,1(x	NOUN
ejpam-1206	237	14	;	;	PUNCT
ejpam-1206	237	15	ν	ν	X
ejpam-1206	237	16	)	)	PUNCT
ejpam-1206	237	17	is	be	AUX
ejpam-1206	237	18	presented	present	VERB
ejpam-1206	237	19	in	in	ADP
ejpam-1206	237	20	table	table	NOUN
ejpam-1206	237	21	4	4	NUM
ejpam-1206	237	22	.	.	PUNCT
ejpam-1206	237	23	r.	r.	PROPN
ejpam-1206	237	24	paris	paris	PROPN
ejpam-1206	237	25	/	/	SYM
ejpam-1206	237	26	eur	eur	PROPN
ejpam-1206	237	27	.	.	PUNCT
ejpam-1206	238	1	j.	j.	PROPN
ejpam-1206	238	2	pure	pure	PROPN
ejpam-1206	238	3	appl	appl	PROPN
ejpam-1206	238	4	.	.	PROPN
ejpam-1206	238	5	math	math	PROPN
ejpam-1206	238	6	,	,	PUNCT
ejpam-1206	238	7	5	5	NUM
ejpam-1206	238	8	(	(	PUNCT
ejpam-1206	238	9	2012	2012	NUM
ejpam-1206	238	10	)	)	PUNCT
ejpam-1206	238	11	,	,	PUNCT
ejpam-1206	238	12	260	260	NUM
ejpam-1206	238	13	-	-	SYM
ejpam-1206	238	14	281	281	NUM
ejpam-1206	238	15	272	272	NUM
ejpam-1206	238	16	table	table	NOUN
ejpam-1206	238	17	3	3	NUM
ejpam-1206	238	18	:	:	PUNCT
ejpam-1206	238	19	the	the	DET
ejpam-1206	238	20	complex	complex	ADJ
ejpam-1206	238	21	zeros	zero	NOUN
ejpam-1206	238	22	xk	xk	X
ejpam-1206	238	23	of	of	ADP
ejpam-1206	238	24	sn,1(x	sn,1(x	PROPN
ejpam-1206	238	25	;	;	PUNCT
ejpam-1206	238	26	ν	ν	X
ejpam-1206	238	27	)	)	PUNCT
ejpam-1206	238	28	in	in	ADP
ejpam-1206	238	29	the	the	DET
ejpam-1206	238	30	right	right	ADJ
ejpam-1206	238	31	-	-	PUNCT
ejpam-1206	238	32	half	half	NOUN
ejpam-1206	238	33	plane	plane	NOUN
ejpam-1206	238	34	for	for	ADP
ejpam-1206	238	35	different	different	ADJ
ejpam-1206	238	36	n	n	NOUN
ejpam-1206	238	37	and	and	CCONJ
ejpam-1206	238	38	ν	ν	NOUN
ejpam-1206	238	39	.	.	PUNCT
ejpam-1206	239	1	n=	n=	ADJ
ejpam-1206	239	2	4	4	NUM
ejpam-1206	239	3	,	,	PUNCT
ejpam-1206	239	4	ν	ν	NOUN
ejpam-1206	239	5	=	=	SYM
ejpam-1206	239	6	1	1	NUM
ejpam-1206	239	7	2	2	NUM
ejpam-1206	239	8	n=	n=	ADJ
ejpam-1206	239	9	4	4	NUM
ejpam-1206	239	10	,	,	PUNCT
ejpam-1206	239	11	ν	ν	NOUN
ejpam-1206	239	12	=	=	SYM
ejpam-1206	239	13	1	1	NUM
ejpam-1206	239	14	k	k	PROPN
ejpam-1206	239	15	xk	xk	PROPN
ejpam-1206	239	16	asymptotic	asymptotic	PROPN
ejpam-1206	239	17	xk	xk	PROPN
ejpam-1206	239	18	xk	xk	PROPN
ejpam-1206	239	19	asymptotic	asymptotic	PROPN
ejpam-1206	239	20	xk	xk	PROPN
ejpam-1206	239	21	0	0	NUM
ejpam-1206	240	1	4.0244±	4.0244±	NUM
ejpam-1206	240	2	2.0323i	2.0323i	NUM
ejpam-1206	241	1	3.9764±	3.9764±	NUM
ejpam-1206	241	2	2.0087i	2.0087i	NUM
ejpam-1206	241	3	4.2375±	4.2375±	NUM
ejpam-1206	242	1	1.3161i	1.3161i	NUM
ejpam-1206	242	2	4.2550±	4.2550±	NOUN
ejpam-1206	243	1	1.3196i	1.3196i	NUM
ejpam-1206	243	2	1	1	NUM
ejpam-1206	243	3	7.1994±	7.1994±	NUM
ejpam-1206	243	4	3.2811i	3.2811i	NUM
ejpam-1206	243	5	7.1796±	7.1796±	NUM
ejpam-1206	243	6	3.2726i	3.2726i	NUM
ejpam-1206	243	7	7.4819±	7.4819±	NOUN
ejpam-1206	243	8	2.5264i	2.5264i	NUM
ejpam-1206	243	9	7.4758±	7.4758±	NOUN
ejpam-1206	243	10	2.5234i	2.5234i	NUM
ejpam-1206	243	11	2	2	NUM
ejpam-1206	243	12	9.9589±	9.9589±	NOUN
ejpam-1206	243	13	4.3936i	4.3936i	PROPN
ejpam-1206	243	14	9.9471±	9.9471±	NUM
ejpam-1206	244	1	4.3886i	4.3886i	NOUN
ejpam-1206	244	2	10.2567±	10.2567±	NUM
ejpam-1206	245	1	3.6293i	3.6293i	NUM
ejpam-1206	245	2	10.2497±	10.2497±	NUM
ejpam-1206	245	3	3.6261i	3.6261i	NUM
ejpam-1206	245	4	3	3	NUM
ejpam-1206	245	5	12.4831±	12.4831±	NUM
ejpam-1206	246	1	5.4199i	5.4199i	ADJ
ejpam-1206	246	2	12.4750±	12.4750±	NUM
ejpam-1206	246	3	5.4164i	5.4164i	NUM
ejpam-1206	246	4	12.7869±	12.7869±	NUM
ejpam-1206	246	5	4.6542i	4.6542i	ADJ
ejpam-1206	246	6	12.7801±	12.7801±	NUM
ejpam-1206	246	7	4.6512i	4.6512i	NUM
ejpam-1206	246	8	4	4	NUM
ejpam-1206	247	1	14.8473±	14.8473±	NUM
ejpam-1206	247	2	6.3852i	6.3852i	NUM
ejpam-1206	247	3	14.8412±	14.8412±	NUM
ejpam-1206	247	4	6.3826i	6.3826i	NUM
ejpam-1206	247	5	15.1536±	15.1536±	NUM
ejpam-1206	247	6	5.6211i	5.6211i	NUM
ejpam-1206	247	7	15.1471±	15.1471±	NUM
ejpam-1206	248	1	5.6183i	5.6183i	ADJ
ejpam-1206	248	2	5	5	NUM
ejpam-1206	248	3	17.0930±	17.0930±	NUM
ejpam-1206	248	4	7.3047i	7.3047i	NUM
ejpam-1206	248	5	17.0872±	17.0872±	NUM
ejpam-1206	248	6	7.3022i	7.3022i	NOUN
ejpam-1206	248	7	17.3992±	17.3992±	NUM
ejpam-1206	249	1	6.5430i	6.5430i	NUM
ejpam-1206	249	2	17.3930±	17.3930±	NUM
ejpam-1206	249	3	6.5404i	6.5404i	ADV
ejpam-1206	249	4	n=	n=	ADJ
ejpam-1206	249	5	4	4	NUM
ejpam-1206	249	6	,	,	PUNCT
ejpam-1206	249	7	ν	ν	X
ejpam-1206	249	8	=	=	SYM
ejpam-1206	249	9	3	3	NUM
ejpam-1206	249	10	2	2	NUM
ejpam-1206	249	11	n=	n=	ADJ
ejpam-1206	249	12	5	5	NUM
ejpam-1206	249	13	,	,	PUNCT
ejpam-1206	249	14	ν	ν	X
ejpam-1206	249	15	=	=	SYM
ejpam-1206	249	16	1	1	NUM
ejpam-1206	249	17	2	2	NUM
ejpam-1206	249	18	k	k	PROPN
ejpam-1206	249	19	xk	xk	PROPN
ejpam-1206	249	20	asymptotic	asymptotic	PROPN
ejpam-1206	249	21	xk	xk	PROPN
ejpam-1206	249	22	xk	xk	PROPN
ejpam-1206	249	23	asymptotic	asymptotic	PROPN
ejpam-1206	249	24	xk	xk	PROPN
ejpam-1206	249	25	0	0	NUM
ejpam-1206	249	26	4.0787	4.0787	NUM
ejpam-1206	249	27	,	,	PUNCT
ejpam-1206	249	28	4.6474	4.6474	NUM
ejpam-1206	249	29	4.4355±	4.4355±	NUM
ejpam-1206	249	30	0.4157i	0.4157i	X
ejpam-1206	249	31	4.3501±	4.3501±	NUM
ejpam-1206	249	32	1.9128i	1.9128i	NUM
ejpam-1206	249	33	4.2766±	4.2766±	NUM
ejpam-1206	249	34	1.8857i	1.8857i	NUM
ejpam-1206	249	35	1	1	NUM
ejpam-1206	249	36	7.7747±	7.7747±	NUM
ejpam-1206	249	37	1.6364i	1.6364i	NUM
ejpam-1206	249	38	7.7229±	7.7229±	NUM
ejpam-1206	249	39	1.6162i	1.6162i	PROPN
ejpam-1206	249	40	8.0767±	8.0767±	NUM
ejpam-1206	250	1	3.0502i	3.0502i	NUM
ejpam-1206	250	2	8.0444±	8.0444±	NUM
ejpam-1206	251	1	3.0395i	3.0395i	NUM
ejpam-1206	251	2	2	2	NUM
ejpam-1206	251	3	10.5755±	10.5755±	NUM
ejpam-1206	251	4	2.7507i	2.7507i	NUM
ejpam-1206	251	5	10.5238±	10.5238±	NUM
ejpam-1206	252	1	2.7302i	2.7302i	PROPN
ejpam-1206	252	2	11.4121±	11.4121±	NUM
ejpam-1206	252	3	4.0989i	4.0989i	NOUN
ejpam-1206	252	4	11.3927±	11.3927±	NUM
ejpam-1206	252	5	4.0925i	4.0925i	NUM
ejpam-1206	252	6	3	3	NUM
ejpam-1206	252	7	13.1152±	13.1152±	NUM
ejpam-1206	253	1	3.7862i	3.7862i	PROPN
ejpam-1206	253	2	13.0680±	13.0680±	NUM
ejpam-1206	254	1	3.7670i	3.7670i	PROPN
ejpam-1206	254	2	14.5199±	14.5199±	PROPN
ejpam-1206	255	1	5.0859i	5.0859i	NUM
ejpam-1206	255	2	14.5063±	14.5063±	NUM
ejpam-1206	256	1	5.0815i	5.0815i	PROPN
ejpam-1206	256	2	4	4	NUM
ejpam-1206	256	3	15.4858±	15.4858±	NUM
ejpam-1206	256	4	4.7625i	4.7625i	NUM
ejpam-1206	256	5	15.4430±	15.4430±	NUM
ejpam-1206	256	6	4.7448i	4.7448i	NUM
ejpam-1206	256	7	17.4695±	17.4695±	NUM
ejpam-1206	256	8	6.0278i	6.0278i	NUM
ejpam-1206	256	9	17.4592±	17.4592±	NUM
ejpam-1206	257	1	6.0244i	6.0244i	NUM
ejpam-1206	257	2	5	5	NUM
ejpam-1206	257	3	17.7038±	17.7038±	NUM
ejpam-1206	257	4	5.6866i	5.6866i	PROPN
ejpam-1206	257	5	17.6938±	17.6938±	NUM
ejpam-1206	257	6	5.6766i	5.6766i	PROPN
ejpam-1206	257	7	20.2996±	20.2996±	PROPN
ejpam-1206	257	8	6.9344i	6.9344i	PROPN
ejpam-1206	257	9	20.2913±	20.2913±	NUM
ejpam-1206	257	10	6.9317i	6.9317i	PROPN
ejpam-1206	257	11	the	the	DET
ejpam-1206	257	12	manner	manner	NOUN
ejpam-1206	257	13	in	in	ADP
ejpam-1206	257	14	which	which	PRON
ejpam-1206	257	15	the	the	DET
ejpam-1206	257	16	zeros	zero	NOUN
ejpam-1206	257	17	change	change	NOUN
ejpam-1206	257	18	as	as	SCONJ
ejpam-1206	257	19	ν	ν	NOUN
ejpam-1206	257	20	increases	increase	NOUN
ejpam-1206	257	21	is	be	AUX
ejpam-1206	257	22	shown	show	VERB
ejpam-1206	257	23	in	in	ADP
ejpam-1206	257	24	fig	fig	NOUN
ejpam-1206	257	25	.	.	PUNCT
ejpam-1206	258	1	3(a	3(a	NUM
ejpam-1206	258	2	)	)	PUNCT
ejpam-1206	258	3	for	for	ADP
ejpam-1206	258	4	the	the	DET
ejpam-1206	258	5	case	case	NOUN
ejpam-1206	258	6	of	of	ADP
ejpam-1206	258	7	cn,1(x	cn,1(x	NOUN
ejpam-1206	258	8	;	;	PUNCT
ejpam-1206	258	9	ν	ν	X
ejpam-1206	258	10	)	)	PUNCT
ejpam-1206	258	11	when	when	SCONJ
ejpam-1206	258	12	n=	n=	ADJ
ejpam-1206	258	13	4	4	NUM
ejpam-1206	258	14	;	;	PUNCT
ejpam-1206	258	15	a	a	DET
ejpam-1206	258	16	similar	similar	ADJ
ejpam-1206	258	17	behaviour	behaviour	NOUN
ejpam-1206	258	18	applies	apply	VERB
ejpam-1206	258	19	to	to	ADP
ejpam-1206	258	20	sn,1(x	sn,1(x	NOUN
ejpam-1206	258	21	;	;	PUNCT
ejpam-1206	258	22	ν	ν	NOUN
ejpam-1206	258	23	)	)	PUNCT
ejpam-1206	258	24	.	.	PUNCT
ejpam-1206	259	1	this	this	DET
ejpam-1206	259	2	figure	figure	NOUN
ejpam-1206	259	3	shows	show	VERB
ejpam-1206	259	4	the	the	DET
ejpam-1206	259	5	first	first	ADJ
ejpam-1206	259	6	complex	complex	ADJ
ejpam-1206	259	7	zeros	zero	NOUN
ejpam-1206	259	8	x0	x0	PROPN
ejpam-1206	259	9	and	and	CCONJ
ejpam-1206	259	10	x1	x1	PROPN
ejpam-1206	259	11	(	(	PUNCT
ejpam-1206	259	12	and	and	CCONJ
ejpam-1206	259	13	their	their	PRON
ejpam-1206	259	14	conjugates	conjugate	NOUN
ejpam-1206	259	15	)	)	PUNCT
ejpam-1206	259	16	for	for	ADP
ejpam-1206	259	17	values	value	NOUN
ejpam-1206	259	18	of	of	ADP
ejpam-1206	259	19	ν	ν	NOUN
ejpam-1206	259	20	increasing	increase	VERB
ejpam-1206	259	21	from	from	ADP
ejpam-1206	259	22	0.1	0.1	NUM
ejpam-1206	259	23	to	to	ADP
ejpam-1206	259	24	1	1	NUM
ejpam-1206	259	25	in	in	ADP
ejpam-1206	259	26	steps	step	NOUN
ejpam-1206	259	27	of	of	ADP
ejpam-1206	259	28	0.1	0.1	NUM
ejpam-1206	259	29	.	.	PUNCT
ejpam-1206	260	1	as	as	ADP
ejpam-1206	260	2	ν	ν	NOUN
ejpam-1206	260	3	increases	increase	NOUN
ejpam-1206	260	4	,	,	PUNCT
ejpam-1206	260	5	the	the	DET
ejpam-1206	260	6	zeros	zero	NOUN
ejpam-1206	260	7	approach	approach	VERB
ejpam-1206	260	8	the	the	DET
ejpam-1206	260	9	real	real	ADJ
ejpam-1206	260	10	axis	axis	NOUN
ejpam-1206	260	11	and	and	CCONJ
ejpam-1206	260	12	eventually	eventually	ADV
ejpam-1206	260	13	coalesce	coalesce	VERB
ejpam-1206	260	14	to	to	PART
ejpam-1206	260	15	form	form	VERB
ejpam-1206	260	16	real	real	ADJ
ejpam-1206	260	17	zeros	zero	NOUN
ejpam-1206	260	18	.	.	PUNCT
ejpam-1206	261	1	this	this	PRON
ejpam-1206	261	2	is	be	AUX
ejpam-1206	261	3	found	find	VERB
ejpam-1206	261	4	to	to	PART
ejpam-1206	261	5	occur	occur	VERB
ejpam-1206	261	6	for	for	ADP
ejpam-1206	261	7	ν	ν	NOUN
ejpam-1206	261	8	.	.	PUNCT
ejpam-1206	262	1	=	=	PUNCT
ejpam-1206	262	2	0.8216	0.8216	NUM
ejpam-1206	262	3	in	in	ADP
ejpam-1206	262	4	the	the	DET
ejpam-1206	262	5	case	case	NOUN
ejpam-1206	262	6	of	of	ADP
ejpam-1206	262	7	x0	x0	PROPN
ejpam-1206	262	8	and	and	CCONJ
ejpam-1206	262	9	ν	ν	NOUN
ejpam-1206	262	10	.	.	PUNCT
ejpam-1206	263	1	=	=	PUNCT
ejpam-1206	263	2	0.9875	0.9875	NUM
ejpam-1206	263	3	in	in	ADP
ejpam-1206	263	4	the	the	DET
ejpam-1206	263	5	case	case	NOUN
ejpam-1206	263	6	of	of	ADP
ejpam-1206	263	7	x1	x1	PROPN
ejpam-1206	263	8	.	.	PUNCT
ejpam-1206	264	1	the	the	DET
ejpam-1206	264	2	zeros	zero	NOUN
ejpam-1206	264	3	labelled	label	VERB
ejpam-1206	264	4	a	a	DET
ejpam-1206	264	5	,	,	PUNCT
ejpam-1206	264	6	b	b	NOUN
ejpam-1206	264	7	,	,	PUNCT
ejpam-1206	264	8	c	c	NOUN
ejpam-1206	264	9	,	,	PUNCT
ejpam-1206	264	10	d	d	X
ejpam-1206	264	11	indicate	indicate	VERB
ejpam-1206	264	12	the	the	DET
ejpam-1206	264	13	zeros	zero	NOUN
ejpam-1206	264	14	when	when	SCONJ
ejpam-1206	264	15	ν	ν	X
ejpam-1206	264	16	=	=	SYM
ejpam-1206	264	17	1	1	NUM
ejpam-1206	264	18	;	;	PUNCT
ejpam-1206	264	19	the	the	DET
ejpam-1206	264	20	next	next	ADJ
ejpam-1206	264	21	real	real	ADJ
ejpam-1206	264	22	zero	zero	NUM
ejpam-1206	264	23	in	in	ADP
ejpam-1206	264	24	the	the	DET
ejpam-1206	264	25	sequence	sequence	NOUN
ejpam-1206	264	26	when	when	SCONJ
ejpam-1206	264	27	ν	ν	X
ejpam-1206	264	28	=	=	SYM
ejpam-1206	264	29	1	1	NUM
ejpam-1206	264	30	(	(	PUNCT
ejpam-1206	264	31	which	which	PRON
ejpam-1206	264	32	results	result	VERB
ejpam-1206	264	33	from	from	ADP
ejpam-1206	264	34	the	the	DET
ejpam-1206	264	35	coalesence	coalesence	NOUN
ejpam-1206	264	36	of	of	ADP
ejpam-1206	264	37	x2	x2	PROPN
ejpam-1206	264	38	and	and	CCONJ
ejpam-1206	264	39	its	its	PRON
ejpam-1206	264	40	conjugate	conjugate	NOUN
ejpam-1206	264	41	)	)	PUNCT
ejpam-1206	264	42	is	be	AUX
ejpam-1206	264	43	labelled	label	VERB
ejpam-1206	264	44	e.	e.	PROPN
ejpam-1206	264	45	the	the	DET
ejpam-1206	264	46	remaining	remain	VERB
ejpam-1206	264	47	complex	complex	ADJ
ejpam-1206	264	48	zeros	zero	NOUN
ejpam-1206	264	49	exhibit	exhibit	VERB
ejpam-1206	264	50	a	a	DET
ejpam-1206	264	51	cascade	cascade	NOUN
ejpam-1206	264	52	effect	effect	NOUN
ejpam-1206	264	53	since	since	SCONJ
ejpam-1206	264	54	they	they	PRON
ejpam-1206	264	55	all	all	PRON
ejpam-1206	264	56	progressively	progressively	ADV
ejpam-1206	264	57	coalesce	coalesce	VERB
ejpam-1206	264	58	to	to	PART
ejpam-1206	264	59	become	become	VERB
ejpam-1206	264	60	real	real	ADJ
ejpam-1206	264	61	as	as	ADP
ejpam-1206	264	62	ν	ν	NOUN
ejpam-1206	264	63	increases	increase	NOUN
ejpam-1206	264	64	in	in	ADP
ejpam-1206	264	65	the	the	DET
ejpam-1206	264	66	interval	interval	NOUN
ejpam-1206	264	67	(	(	PUNCT
ejpam-1206	264	68	0.9875,1	0.9875,1	PROPN
ejpam-1206	264	69	]	]	X
ejpam-1206	264	70	.	.	PUNCT
ejpam-1206	265	1	an	an	DET
ejpam-1206	265	2	alternative	alternative	ADJ
ejpam-1206	265	3	depiction	depiction	NOUN
ejpam-1206	265	4	of	of	ADP
ejpam-1206	265	5	the	the	DET
ejpam-1206	265	6	zeros	zero	NOUN
ejpam-1206	265	7	as	as	ADP
ejpam-1206	265	8	ν	ν	NOUN
ejpam-1206	265	9	increases	increase	NOUN
ejpam-1206	265	10	in	in	ADP
ejpam-1206	265	11	the	the	DET
ejpam-1206	265	12	interval	interval	NOUN
ejpam-1206	265	13	[	[	X
ejpam-1206	265	14	1	1	NUM
ejpam-1206	265	15	2	2	NUM
ejpam-1206	265	16	,	,	PUNCT
ejpam-1206	265	17	1	1	NUM
ejpam-1206	265	18	]	]	PUNCT
ejpam-1206	265	19	is	be	AUX
ejpam-1206	265	20	shown	show	VERB
ejpam-1206	265	21	in	in	ADP
ejpam-1206	265	22	fig	fig	NOUN
ejpam-1206	265	23	.	.	PUNCT
ejpam-1206	266	1	4	4	NUM
ejpam-1206	266	2	.	.	X
ejpam-1206	266	3	as	as	SCONJ
ejpam-1206	266	4	ν	ν	X
ejpam-1206	266	5	increases	increase	NOUN
ejpam-1206	266	6	beyond	beyond	ADP
ejpam-1206	266	7	the	the	DET
ejpam-1206	266	8	value	value	NOUN
ejpam-1206	266	9	ν	ν	NOUN
ejpam-1206	266	10	=	=	SYM
ejpam-1206	266	11	1	1	NUM
ejpam-1206	266	12	,	,	PUNCT
ejpam-1206	266	13	the	the	DET
ejpam-1206	266	14	zeros	zero	NOUN
ejpam-1206	266	15	labelled	label	VERB
ejpam-1206	266	16	b	b	PROPN
ejpam-1206	266	17	,	,	PUNCT
ejpam-1206	266	18	c	c	PROPN
ejpam-1206	266	19	and	and	CCONJ
ejpam-1206	266	20	d	d	NOUN
ejpam-1206	266	21	,	,	PUNCT
ejpam-1206	266	22	e	e	NOUN
ejpam-1206	266	23	in	in	ADP
ejpam-1206	266	24	fig	fig	NOUN
ejpam-1206	266	25	.	.	PUNCT
ejpam-1206	267	1	4(a	4(a	NUM
ejpam-1206	267	2	)	)	PUNCT
ejpam-1206	267	3	approach	approach	NOUN
ejpam-1206	267	4	one	one	NUM
ejpam-1206	267	5	another	another	DET
ejpam-1206	267	6	,	,	PUNCT
ejpam-1206	267	7	coalesce	coalesce	NOUN
ejpam-1206	267	8	and	and	CCONJ
ejpam-1206	267	9	then	then	ADV
ejpam-1206	267	10	move	move	VERB
ejpam-1206	267	11	off	off	ADP
ejpam-1206	267	12	into	into	ADP
ejpam-1206	267	13	the	the	DET
ejpam-1206	267	14	complex	complex	ADJ
ejpam-1206	267	15	plane	plane	NOUN
ejpam-1206	267	16	as	as	ADP
ejpam-1206	267	17	new	new	ADJ
ejpam-1206	267	18	conjugate	conjugate	ADJ
ejpam-1206	267	19	pairs	pair	NOUN
ejpam-1206	267	20	.	.	PUNCT
ejpam-1206	268	1	the	the	DET
ejpam-1206	268	2	loci	loci	NOUN
ejpam-1206	268	3	of	of	ADP
ejpam-1206	268	4	these	these	DET
ejpam-1206	268	5	complex	complex	ADJ
ejpam-1206	268	6	zeros	zero	NOUN
ejpam-1206	268	7	(	(	PUNCT
ejpam-1206	268	8	in	in	ADP
ejpam-1206	268	9	the	the	DET
ejpam-1206	268	10	upper	upper	ADJ
ejpam-1206	268	11	half	half	ADJ
ejpam-1206	268	12	-	-	PUNCT
ejpam-1206	268	13	plane	plane	NOUN
ejpam-1206	268	14	)	)	PUNCT
ejpam-1206	268	15	are	be	AUX
ejpam-1206	268	16	indicated	indicate	VERB
ejpam-1206	268	17	in	in	ADP
ejpam-1206	268	18	fig	fig	NOUN
ejpam-1206	268	19	.	.	PUNCT
ejpam-1206	269	1	3(b	3(b	NUM
ejpam-1206	269	2	)	)	PUNCT
ejpam-1206	269	3	.	.	PUNCT
ejpam-1206	270	1	as	as	SCONJ
ejpam-1206	270	2	ν	ν	PROPN
ejpam-1206	270	3	continues	continue	VERB
ejpam-1206	270	4	to	to	PART
ejpam-1206	270	5	increase	increase	VERB
ejpam-1206	270	6	these	these	DET
ejpam-1206	270	7	loci	loci	NOUN
ejpam-1206	270	8	form	form	NOUN
ejpam-1206	270	9	loops	loop	NOUN
ejpam-1206	270	10	that	that	PRON
ejpam-1206	270	11	return	return	VERB
ejpam-1206	270	12	to	to	ADP
ejpam-1206	270	13	the	the	DET
ejpam-1206	270	14	real	real	ADJ
ejpam-1206	270	15	axis	axis	NOUN
ejpam-1206	270	16	,	,	PUNCT
ejpam-1206	270	17	resulting	result	VERB
ejpam-1206	270	18	in	in	ADP
ejpam-1206	270	19	coalescence	coalescence	NOUN
ejpam-1206	270	20	and	and	CCONJ
ejpam-1206	270	21	the	the	DET
ejpam-1206	270	22	formation	formation	NOUN
ejpam-1206	270	23	of	of	ADP
ejpam-1206	270	24	real	real	ADJ
ejpam-1206	270	25	zeros	zero	NOUN
ejpam-1206	270	26	again	again	ADV
ejpam-1206	270	27	.	.	PUNCT
ejpam-1206	271	1	the	the	DET
ejpam-1206	271	2	loop	loop	NOUN
ejpam-1206	271	3	formed	form	VERB
ejpam-1206	271	4	by	by	ADP
ejpam-1206	271	5	b	b	PROPN
ejpam-1206	271	6	and	and	CCONJ
ejpam-1206	271	7	c	c	PROPN
ejpam-1206	271	8	exists	exist	VERB
ejpam-1206	271	9	for	for	ADP
ejpam-1206	271	10	ν	ν	NOUN
ejpam-1206	271	11	in	in	ADP
ejpam-1206	271	12	the	the	DET
ejpam-1206	271	13	interval	interval	NOUN
ejpam-1206	271	14	(	(	PUNCT
ejpam-1206	271	15	1.0853,1.8733	1.0853,1.8733	NUM
ejpam-1206	271	16	)	)	PUNCT
ejpam-1206	271	17	and	and	CCONJ
ejpam-1206	271	18	that	that	SCONJ
ejpam-1206	271	19	formed	form	VERB
ejpam-1206	271	20	by	by	ADP
ejpam-1206	271	21	d	d	PROPN
ejpam-1206	271	22	and	and	CCONJ
ejpam-1206	271	23	e	e	NOUN
ejpam-1206	271	24	exists	exist	VERB
ejpam-1206	271	25	in	in	ADP
ejpam-1206	271	26	the	the	DET
ejpam-1206	271	27	interval	interval	NOUN
ejpam-1206	271	28	(	(	PUNCT
ejpam-1206	271	29	1.0025,2.6560	1.0025,2.6560	NUM
ejpam-1206	271	30	)	)	PUNCT
ejpam-1206	271	31	.	.	PUNCT
ejpam-1206	272	1	a	a	DET
ejpam-1206	272	2	similar	similar	ADJ
ejpam-1206	272	3	behaviour	behaviour	NOUN
ejpam-1206	272	4	is	be	AUX
ejpam-1206	272	5	exhibited	exhibit	VERB
ejpam-1206	272	6	by	by	ADP
ejpam-1206	272	7	the	the	DET
ejpam-1206	272	8	other	other	ADJ
ejpam-1206	272	9	zeros	zero	NOUN
ejpam-1206	272	10	with	with	ADP
ejpam-1206	272	11	the	the	DET
ejpam-1206	272	12	result	result	NOUN
ejpam-1206	272	13	that	that	SCONJ
ejpam-1206	272	14	when	when	SCONJ
ejpam-1206	272	15	ν	ν	X
ejpam-1206	272	16	=	=	SYM
ejpam-1206	272	17	3	3	NUM
ejpam-1206	272	18	,	,	PUNCT
ejpam-1206	272	19	all	all	DET
ejpam-1206	272	20	the	the	DET
ejpam-1206	272	21	zeros	zero	NOUN
ejpam-1206	272	22	are	be	AUX
ejpam-1206	272	23	again	again	ADV
ejpam-1206	272	24	real	real	ADJ
ejpam-1206	272	25	.	.	PUNCT
ejpam-1206	273	1	this	this	DET
ejpam-1206	273	2	pattern	pattern	NOUN
ejpam-1206	273	3	then	then	ADV
ejpam-1206	273	4	repeats	repeat	VERB
ejpam-1206	273	5	itself	itself	PRON
ejpam-1206	273	6	for	for	ADP
ejpam-1206	273	7	ν	ν	NOUN
ejpam-1206	273	8	in	in	ADP
ejpam-1206	273	9	the	the	DET
ejpam-1206	273	10	intervals	interval	NOUN
ejpam-1206	273	11	[	[	X
ejpam-1206	273	12	3,5	3,5	NUM
ejpam-1206	273	13	]	]	PUNCT
ejpam-1206	273	14	,	,	PUNCT
ejpam-1206	273	15	[	[	X
ejpam-1206	273	16	5,7	5,7	NUM
ejpam-1206	273	17	]	]	PUNCT
ejpam-1206	273	18	and	and	CCONJ
ejpam-1206	273	19	so	so	ADV
ejpam-1206	273	20	on	on	ADV
ejpam-1206	273	21	.	.	PUNCT
ejpam-1206	274	1	it	it	PRON
ejpam-1206	274	2	then	then	ADV
ejpam-1206	274	3	becomes	become	VERB
ejpam-1206	274	4	clear	clear	ADJ
ejpam-1206	274	5	from	from	ADP
ejpam-1206	274	6	this	this	DET
ejpam-1206	274	7	discussion	discussion	NOUN
ejpam-1206	274	8	that	that	SCONJ
ejpam-1206	274	9	the	the	DET
ejpam-1206	274	10	finite	finite	ADJ
ejpam-1206	274	11	number	number	NOUN
ejpam-1206	274	12	of	of	ADP
ejpam-1206	274	13	real	real	ADJ
ejpam-1206	274	14	zeros	zero	NOUN
ejpam-1206	274	15	of	of	ADP
ejpam-1206	274	16	cn,1(x	cn,1(x	NOUN
ejpam-1206	274	17	;	;	PUNCT
ejpam-1206	274	18	ν	ν	X
ejpam-1206	274	19	)	)	PUNCT
ejpam-1206	274	20	and	and	CCONJ
ejpam-1206	274	21	sn,1(x	sn,1(x	NOUN
ejpam-1206	274	22	;	;	PUNCT
ejpam-1206	274	23	ν	ν	X
ejpam-1206	274	24	)	)	PUNCT
ejpam-1206	274	25	for	for	ADP
ejpam-1206	274	26	a	a	DET
ejpam-1206	274	27	given	give	VERB
ejpam-1206	274	28	value	value	NOUN
ejpam-1206	274	29	of	of	ADP
ejpam-1206	274	30	ν	ν	NOUN
ejpam-1206	274	31	(	(	PUNCT
ejpam-1206	274	32	apart	apart	ADV
ejpam-1206	274	33	from	from	ADP
ejpam-1206	274	34	odd	odd	ADJ
ejpam-1206	274	35	or	or	CCONJ
ejpam-1206	274	36	even	even	ADV
ejpam-1206	274	37	integer	integer	NOUN
ejpam-1206	274	38	values	value	NOUN
ejpam-1206	274	39	)	)	PUNCT
ejpam-1206	274	40	is	be	AUX
ejpam-1206	274	41	difficult	difficult	ADJ
ejpam-1206	274	42	to	to	PART
ejpam-1206	274	43	predict	predict	VERB
ejpam-1206	274	44	.	.	PUNCT
ejpam-1206	275	1	in	in	ADP
ejpam-1206	275	2	the	the	DET
ejpam-1206	275	3	case	case	NOUN
ejpam-1206	275	4	of	of	ADP
ejpam-1206	275	5	odd	odd	ADJ
ejpam-1206	275	6	integer	integer	NOUN
ejpam-1206	275	7	n	n	CCONJ
ejpam-1206	275	8	we	we	PRON
ejpam-1206	275	9	find	find	VERB
ejpam-1206	275	10	a	a	DET
ejpam-1206	275	11	similar	similar	ADJ
ejpam-1206	275	12	behaviour	behaviour	NOUN
ejpam-1206	275	13	of	of	ADP
ejpam-1206	275	14	the	the	DET
ejpam-1206	275	15	zeros	zero	NOUN
ejpam-1206	275	16	.	.	PUNCT
ejpam-1206	276	1	fig	fig	NOUN
ejpam-1206	276	2	.	.	PUNCT
ejpam-1206	277	1	5	5	NUM
ejpam-1206	277	2	shows	show	VERB
ejpam-1206	277	3	the	the	DET
ejpam-1206	277	4	distribution	distribution	NOUN
ejpam-1206	277	5	of	of	ADP
ejpam-1206	277	6	the	the	DET
ejpam-1206	277	7	zeros	zero	NOUN
ejpam-1206	277	8	of	of	ADP
ejpam-1206	277	9	cn,1(x	cn,1(x	NOUN
ejpam-1206	277	10	;	;	PUNCT
ejpam-1206	277	11	ν	ν	X
ejpam-1206	277	12	)	)	PUNCT
ejpam-1206	277	13	when	when	SCONJ
ejpam-1206	277	14	n=	n=	ADJ
ejpam-1206	277	15	3	3	NUM
ejpam-1206	277	16	for	for	ADP
ejpam-1206	277	17	ν	ν	NOUN
ejpam-1206	277	18	in	in	ADP
ejpam-1206	277	19	the	the	DET
ejpam-1206	277	20	interval	interval	NOUN
ejpam-1206	277	21	[	[	X
ejpam-1206	277	22	1	1	NUM
ejpam-1206	277	23	2	2	NUM
ejpam-1206	277	24	,	,	PUNCT
ejpam-1206	277	25	1	1	NUM
ejpam-1206	277	26	]	]	PUNCT
ejpam-1206	277	27	.	.	PUNCT
ejpam-1206	278	1	when	when	SCONJ
ejpam-1206	278	2	ν	ν	X
ejpam-1206	278	3	=	=	SYM
ejpam-1206	278	4	1	1	NUM
ejpam-1206	278	5	2	2	NUM
ejpam-1206	278	6	,	,	PUNCT
ejpam-1206	278	7	the	the	DET
ejpam-1206	278	8	zeros	zero	NOUN
ejpam-1206	278	9	lie	lie	VERB
ejpam-1206	278	10	close	close	ADV
ejpam-1206	278	11	to	to	ADP
ejpam-1206	278	12	the	the	DET
ejpam-1206	278	13	anti	anti	ADJ
ejpam-1206	278	14	-	-	ADJ
ejpam-1206	278	15	stokes	stokes	ADJ
ejpam-1206	278	16	lines	line	NOUN
ejpam-1206	278	17	arg	arg	VERB
ejpam-1206	278	18	x	x	PUNCT
ejpam-1206	278	19	=	=	SYM
ejpam-1206	278	20	±π/6	±π/6	PROPN
ejpam-1206	278	21	.	.	PROPN
ejpam-1206	278	22	as	as	ADP
ejpam-1206	278	23	ν	ν	NOUN
ejpam-1206	278	24	increases	increase	NOUN
ejpam-1206	278	25	,	,	PUNCT
ejpam-1206	278	26	the	the	DET
ejpam-1206	278	27	first	first	ADJ
ejpam-1206	278	28	complex	complex	ADJ
ejpam-1206	278	29	zero	zero	NUM
ejpam-1206	278	30	r.	r.	PROPN
ejpam-1206	278	31	paris	paris	PROPN
ejpam-1206	278	32	/	/	SYM
ejpam-1206	278	33	eur	eur	PROPN
ejpam-1206	278	34	.	.	PUNCT
ejpam-1206	279	1	j.	j.	PROPN
ejpam-1206	279	2	pure	pure	PROPN
ejpam-1206	279	3	appl	appl	PROPN
ejpam-1206	279	4	.	.	PROPN
ejpam-1206	279	5	math	math	PROPN
ejpam-1206	279	6	,	,	PUNCT
ejpam-1206	279	7	5	5	NUM
ejpam-1206	279	8	(	(	PUNCT
ejpam-1206	279	9	2012	2012	NUM
ejpam-1206	279	10	)	)	PUNCT
ejpam-1206	279	11	,	,	PUNCT
ejpam-1206	279	12	260	260	NUM
ejpam-1206	279	13	-	-	SYM
ejpam-1206	279	14	281	281	NUM
ejpam-1206	279	15	273	273	NUM
ejpam-1206	279	16	table	table	NOUN
ejpam-1206	279	17	4	4	NUM
ejpam-1206	279	18	:	:	PUNCT
ejpam-1206	279	19	the	the	DET
ejpam-1206	279	20	real	real	ADJ
ejpam-1206	279	21	zeros	zero	NOUN
ejpam-1206	279	22	xk	xk	X
ejpam-1206	279	23	of	of	ADP
ejpam-1206	279	24	cn,1(x	cn,1(x	NOUN
ejpam-1206	279	25	;	;	PUNCT
ejpam-1206	279	26	ν	ν	X
ejpam-1206	279	27	)	)	PUNCT
ejpam-1206	279	28	and	and	CCONJ
ejpam-1206	279	29	sn,1(x	sn,1(x	NOUN
ejpam-1206	279	30	;	;	PUNCT
ejpam-1206	279	31	ν	ν	X
ejpam-1206	279	32	)	)	PUNCT
ejpam-1206	279	33	on	on	ADP
ejpam-1206	279	34	the	the	DET
ejpam-1206	279	35	positive	positive	ADJ
ejpam-1206	279	36	axis	axis	NOUN
ejpam-1206	279	37	,	,	PUNCT
ejpam-1206	279	38	together	together	ADV
ejpam-1206	279	39	with	with	ADP
ejpam-1206	279	40	their	their	PRON
ejpam-1206	279	41	zeroth	zeroth	ADJ
ejpam-1206	279	42	and	and	CCONJ
ejpam-1206	279	43	first	first	ADJ
ejpam-1206	279	44	-	-	PUNCT
ejpam-1206	279	45	order	order	NOUN
ejpam-1206	279	46	approximations	approximation	NOUN
ejpam-1206	279	47	,	,	PUNCT
ejpam-1206	279	48	for	for	ADP
ejpam-1206	279	49	different	different	ADJ
ejpam-1206	279	50	even	even	ADV
ejpam-1206	279	51	n	n	NOUN
ejpam-1206	279	52	and	and	CCONJ
ejpam-1206	279	53	integer	integer	PROPN
ejpam-1206	279	54	ν	ν	NOUN
ejpam-1206	279	55	.	.	PUNCT
ejpam-1206	280	1	the	the	DET
ejpam-1206	280	2	corresponding	corresponding	ADJ
ejpam-1206	280	3	value	value	NOUN
ejpam-1206	280	4	of	of	ADP
ejpam-1206	280	5	the	the	DET
ejpam-1206	280	6	coefficient	coefficient	NOUN
ejpam-1206	280	7	c1	c1	PROPN
ejpam-1206	280	8	is	be	AUX
ejpam-1206	280	9	given	give	VERB
ejpam-1206	280	10	.	.	PUNCT
ejpam-1206	281	1	n=	n=	ADJ
ejpam-1206	281	2	4	4	NUM
ejpam-1206	281	3	,	,	PUNCT
ejpam-1206	281	4	ν	ν	NOUN
ejpam-1206	281	5	=	=	SYM
ejpam-1206	281	6	1	1	NUM
ejpam-1206	281	7	,	,	PUNCT
ejpam-1206	281	8	c1	c1	NOUN
ejpam-1206	281	9	=	=	NOUN
ejpam-1206	281	10	7	7	NUM
ejpam-1206	281	11	48	48	NUM
ejpam-1206	281	12	n=	n=	ADJ
ejpam-1206	281	13	6	6	NUM
ejpam-1206	281	14	,	,	PUNCT
ejpam-1206	281	15	ν	ν	NOUN
ejpam-1206	281	16	=	=	SYM
ejpam-1206	281	17	1	1	NUM
ejpam-1206	281	18	,	,	PUNCT
ejpam-1206	281	19	c1	c1	NOUN
ejpam-1206	281	20	=	=	NOUN
ejpam-1206	281	21	11	11	NUM
ejpam-1206	281	22	36	36	NUM
ejpam-1206	281	23	cn,1(x	cn,1(x	NOUN
ejpam-1206	281	24	;	;	PUNCT
ejpam-1206	281	25	ν	ν	X
ejpam-1206	281	26	)	)	PUNCT
ejpam-1206	281	27	cn,1(x	cn,1(x	NOUN
ejpam-1206	281	28	;	;	PUNCT
ejpam-1206	281	29	ν	ν	X
ejpam-1206	281	30	)	)	PUNCT
ejpam-1206	281	31	k	k	PROPN
ejpam-1206	281	32	xk	xk	PROPN
ejpam-1206	281	33	x	x	PUNCT
ejpam-1206	281	34	(	(	PUNCT
ejpam-1206	281	35	0	0	NUM
ejpam-1206	281	36	)	)	PUNCT
ejpam-1206	281	37	k	k	NOUN
ejpam-1206	281	38	x	x	X
ejpam-1206	281	39	(	(	PUNCT
ejpam-1206	281	40	1	1	NUM
ejpam-1206	281	41	)	)	PUNCT
ejpam-1206	281	42	k	k	NOUN
ejpam-1206	281	43	xk	xk	X
ejpam-1206	281	44	x	x	PUNCT
ejpam-1206	281	45	(	(	PUNCT
ejpam-1206	281	46	0	0	NUM
ejpam-1206	281	47	)	)	PUNCT
ejpam-1206	281	48	k	k	NOUN
ejpam-1206	281	49	x	x	X
ejpam-1206	281	50	(	(	PUNCT
ejpam-1206	281	51	1	1	NUM
ejpam-1206	281	52	)	)	PUNCT
ejpam-1206	281	53	k	k	NOUN
ejpam-1206	281	54	0	0	NUM
ejpam-1206	281	55	2.441968	2.441968	NUM
ejpam-1206	281	56	2.4063	2.4063	NUM
ejpam-1206	281	57	2.4512	2.4512	NUM
ejpam-1206	281	58	2.500814	2.500814	NUM
ejpam-1206	281	59	2.3407	2.3407	NUM
ejpam-1206	281	60	2.4517	2.4517	NUM
ejpam-1206	281	61	1	1	NUM
ejpam-1206	281	62	4.797244	4.797244	NUM
ejpam-1206	281	63	4.7842	4.7842	NUM
ejpam-1206	281	64	4.7985	4.7985	NUM
ejpam-1206	281	65	4.932583	4.932583	NUM
ejpam-1206	281	66	4.9032	4.9032	NUM
ejpam-1206	281	67	4.9427	4.9427	NUM
ejpam-1206	281	68	2	2	NUM
ejpam-1206	281	69	6.813581	6.813581	NUM
ejpam-1206	281	70	6.8060	6.8060	NUM
ejpam-1206	281	71	6.8140	6.8140	NUM
ejpam-1206	281	72	7.232399	7.232399	NUM
ejpam-1206	281	73	7.2095	7.2095	NUM
ejpam-1206	281	74	7.2326	7.2326	NUM
ejpam-1206	281	75	3	3	NUM
ejpam-1206	281	76	8.647288	8.647288	NUM
ejpam-1206	281	77	8.6422	8.6422	NUM
ejpam-1206	281	78	8.6475	8.6475	NUM
ejpam-1206	281	79	9.389764	9.389764	NUM
ejpam-1206	281	80	9.3743	9.3743	NUM
ejpam-1206	281	81	9.3903	9.3903	NUM
ejpam-1206	281	82	4	4	NUM
ejpam-1206	281	83	10.359390	10.359390	NUM
ejpam-1206	281	84	10.3556	10.3556	NUM
ejpam-1206	281	85	10.3595	10.3595	NUM
ejpam-1206	281	86	11.454280	11.454280	NUM
ejpam-1206	281	87	11.4425	11.4425	NUM
ejpam-1206	281	88	11.4545	11.4545	NUM
ejpam-1206	281	89	5	5	NUM
ejpam-1206	281	90	11.981848	11.981848	NUM
ejpam-1206	281	91	11.9788	11.9788	NUM
ejpam-1206	281	92	11.9819	11.9819	NUM
ejpam-1206	281	93	13.447433	13.447433	NUM
ejpam-1206	281	94	13.4380	13.4380	NUM
ejpam-1206	281	95	13.4476	13.4476	NUM
ejpam-1206	281	96	n=	n=	ADJ
ejpam-1206	281	97	4	4	NUM
ejpam-1206	281	98	,	,	PUNCT
ejpam-1206	281	99	ν	ν	NOUN
ejpam-1206	281	100	=	=	SYM
ejpam-1206	281	101	2	2	NUM
ejpam-1206	281	102	,	,	PUNCT
ejpam-1206	281	103	c1	c1	NOUN
ejpam-1206	281	104	=	=	PUNCT
ejpam-1206	282	1	−	−	PROPN
ejpam-1206	282	2	5	5	NUM
ejpam-1206	282	3	48	48	NUM
ejpam-1206	282	4	n=	n=	ADJ
ejpam-1206	282	5	6	6	NUM
ejpam-1206	282	6	,	,	PUNCT
ejpam-1206	282	7	ν	ν	NOUN
ejpam-1206	282	8	=	=	SYM
ejpam-1206	282	9	2	2	NUM
ejpam-1206	282	10	,	,	PUNCT
ejpam-1206	282	11	c1	c1	NOUN
ejpam-1206	282	12	=	=	PUNCT
ejpam-1206	283	1	−	−	PROPN
ejpam-1206	283	2	1	1	NUM
ejpam-1206	283	3	36	36	NUM
ejpam-1206	283	4	sn,1(x	sn,1(x	NOUN
ejpam-1206	283	5	;	;	PUNCT
ejpam-1206	283	6	ν	ν	X
ejpam-1206	283	7	)	)	PUNCT
ejpam-1206	283	8	sn,1(x	sn,1(x	NOUN
ejpam-1206	283	9	;	;	PUNCT
ejpam-1206	283	10	ν	ν	X
ejpam-1206	283	11	)	)	PUNCT
ejpam-1206	283	12	k	k	PROPN
ejpam-1206	283	13	xk	xk	PROPN
ejpam-1206	283	14	x	x	PUNCT
ejpam-1206	283	15	(	(	PUNCT
ejpam-1206	283	16	0	0	NUM
ejpam-1206	283	17	)	)	PUNCT
ejpam-1206	283	18	k	k	NOUN
ejpam-1206	283	19	x	x	X
ejpam-1206	283	20	(	(	PUNCT
ejpam-1206	283	21	1	1	NUM
ejpam-1206	283	22	)	)	PUNCT
ejpam-1206	284	1	k	k	NOUN
ejpam-1206	284	2	xk	xk	X
ejpam-1206	284	3	x	x	PUNCT
ejpam-1206	284	4	(	(	PUNCT
ejpam-1206	284	5	0	0	NUM
ejpam-1206	284	6	)	)	PUNCT
ejpam-1206	284	7	k	k	NOUN
ejpam-1206	284	8	x	x	X
ejpam-1206	284	9	(	(	PUNCT
ejpam-1206	284	10	1	1	NUM
ejpam-1206	284	11	)	)	PUNCT
ejpam-1206	284	12	k	k	NOUN
ejpam-1206	284	13	0	0	NUM
ejpam-1206	284	14	3.246903	3.246903	NUM
ejpam-1206	284	15	3.2615	3.2615	NUM
ejpam-1206	284	16	3.2421	3.2421	NUM
ejpam-1206	284	17	3.446131	3.446131	NUM
ejpam-1206	284	18	3.4114	3.4114	NUM
ejpam-1206	284	19	3.4054	3.4054	NUM
ejpam-1206	284	20	1	1	NUM
ejpam-1206	284	21	5.478116	5.478116	NUM
ejpam-1206	284	22	5.4852	5.4852	NUM
ejpam-1206	284	23	5.4770	5.4770	NUM
ejpam-1206	284	24	5.843645	5.843645	NUM
ejpam-1206	284	25	5.8473	5.8473	NUM
ejpam-1206	284	26	5.8445	5.8445	NUM
ejpam-1206	284	27	2	2	NUM
ejpam-1206	284	28	7.430167	7.430167	NUM
ejpam-1206	284	29	7.4346	7.4346	NUM
ejpam-1206	284	30	7.4297	7.4297	NUM
ejpam-1206	284	31	8.088659	8.088659	NUM
ejpam-1206	284	32	8.0892	8.0892	NUM
ejpam-1206	284	33	8.0874	8.0874	NUM
ejpam-1206	284	34	3	3	NUM
ejpam-1206	284	35	9.221748	9.221748	NUM
ejpam-1206	284	36	9.2249	9.2249	NUM
ejpam-1206	284	37	9.2215	9.2215	NUM
ejpam-1206	284	38	10.210708	10.210708	NUM
ejpam-1206	284	39	10.2115	10.2115	NUM
ejpam-1206	284	40	10.2102	10.2102	NUM
ejpam-1206	284	41	4	4	NUM
ejpam-1206	284	42	10.903062	10.903062	NUM
ejpam-1206	284	43	10.9055	10.9055	NUM
ejpam-1206	284	44	10.9029	10.9029	NUM
ejpam-1206	284	45	12.247705	12.247705	NUM
ejpam-1206	284	46	12.2484	12.2484	NUM
ejpam-1206	284	47	12.2474	12.2474	NUM
ejpam-1206	284	48	5	5	NUM
ejpam-1206	284	49	12.501541	12.501541	NUM
ejpam-1206	284	50	12.5035	12.5035	NUM
ejpam-1206	284	51	12.5015	12.5015	NUM
ejpam-1206	284	52	14.218715	14.218715	NUM
ejpam-1206	284	53	14.2193	14.2193	NUM
ejpam-1206	284	54	14.2185	14.2185	NUM
ejpam-1206	284	55	and	and	CCONJ
ejpam-1206	284	56	its	its	PRON
ejpam-1206	284	57	conjugate	conjugate	ADJ
ejpam-1206	284	58	coalesce	coalesce	NOUN
ejpam-1206	284	59	to	to	PART
ejpam-1206	284	60	form	form	VERB
ejpam-1206	284	61	a	a	DET
ejpam-1206	284	62	pair	pair	NOUN
ejpam-1206	284	63	of	of	ADP
ejpam-1206	284	64	real	real	ADJ
ejpam-1206	284	65	zeros	zero	NOUN
ejpam-1206	284	66	,	,	PUNCT
ejpam-1206	284	67	followed	follow	VERB
ejpam-1206	284	68	by	by	ADP
ejpam-1206	284	69	the	the	DET
ejpam-1206	284	70	second	second	ADJ
ejpam-1206	284	71	complex	complex	ADJ
ejpam-1206	284	72	zero	zero	NUM
ejpam-1206	284	73	and	and	CCONJ
ejpam-1206	284	74	its	its	PRON
ejpam-1206	284	75	conjugate	conjugate	NOUN
ejpam-1206	284	76	,	,	PUNCT
ejpam-1206	284	77	with	with	ADP
ejpam-1206	284	78	the	the	DET
ejpam-1206	284	79	other	other	ADJ
ejpam-1206	284	80	zeros	zero	NOUN
ejpam-1206	284	81	remaining	remain	VERB
ejpam-1206	284	82	complex	complex	ADJ
ejpam-1206	284	83	when	when	SCONJ
ejpam-1206	284	84	ν	ν	X
ejpam-1206	284	85	=	=	SYM
ejpam-1206	284	86	1	1	X
ejpam-1206	284	87	.	.	PUNCT
ejpam-1206	285	1	the	the	DET
ejpam-1206	285	2	real	real	ADJ
ejpam-1206	285	3	zero	zero	NUM
ejpam-1206	285	4	with	with	ADP
ejpam-1206	285	5	the	the	DET
ejpam-1206	285	6	greatest	great	ADJ
ejpam-1206	285	7	real	real	ADJ
ejpam-1206	285	8	part	part	NOUN
ejpam-1206	285	9	moves	move	VERB
ejpam-1206	285	10	off	off	ADP
ejpam-1206	285	11	to	to	PART
ejpam-1206	285	12	infinity	infinity	NOUN
ejpam-1206	285	13	as	as	ADP
ejpam-1206	285	14	ν	ν	NOUN
ejpam-1206	285	15	→	→	SYM
ejpam-1206	285	16	1	1	NUM
ejpam-1206	285	17	,	,	PUNCT
ejpam-1206	285	18	with	with	ADP
ejpam-1206	285	19	the	the	DET
ejpam-1206	285	20	result	result	NOUN
ejpam-1206	285	21	that	that	SCONJ
ejpam-1206	285	22	when	when	SCONJ
ejpam-1206	285	23	ν	ν	X
ejpam-1206	285	24	=	=	SYM
ejpam-1206	285	25	1	1	NUM
ejpam-1206	285	26	there	there	PRON
ejpam-1206	285	27	are	be	VERB
ejpam-1206	285	28	just	just	ADV
ejpam-1206	285	29	3	3	NUM
ejpam-1206	285	30	real	real	ADJ
ejpam-1206	285	31	zeros¶	zeros¶	NOUN
ejpam-1206	285	32	together	together	ADV
ejpam-1206	285	33	with	with	ADP
ejpam-1206	285	34	an	an	DET
ejpam-1206	285	35	infinite	infinite	ADJ
ejpam-1206	285	36	string	string	NOUN
ejpam-1206	285	37	of	of	ADP
ejpam-1206	285	38	complex	complex	ADJ
ejpam-1206	285	39	zeros	zero	NOUN
ejpam-1206	285	40	and	and	CCONJ
ejpam-1206	285	41	their	their	PRON
ejpam-1206	285	42	conjugates	conjugate	NOUN
ejpam-1206	285	43	.	.	PUNCT
ejpam-1206	286	1	as	as	SCONJ
ejpam-1206	286	2	ν	ν	PROPN
ejpam-1206	286	3	increases	increase	NOUN
ejpam-1206	286	4	further	far	ADV
ejpam-1206	286	5	,	,	PUNCT
ejpam-1206	286	6	more	more	ADV
ejpam-1206	286	7	real	real	ADJ
ejpam-1206	286	8	zeros	zero	NOUN
ejpam-1206	286	9	can	can	AUX
ejpam-1206	286	10	form	form	VERB
ejpam-1206	286	11	but	but	CCONJ
ejpam-1206	286	12	their	their	PRON
ejpam-1206	286	13	number	number	NOUN
ejpam-1206	286	14	always	always	ADV
ejpam-1206	286	15	remains	remain	VERB
ejpam-1206	286	16	finite	finite	ADJ
ejpam-1206	286	17	.	.	PUNCT
ejpam-1206	287	1	5	5	NUM
ejpam-1206	287	2	.	.	X
ejpam-1206	287	3	the	the	DET
ejpam-1206	287	4	case	case	NOUN
ejpam-1206	287	5	p	p	X
ejpam-1206	287	6	≥	≥	NUM
ejpam-1206	287	7	2	2	NUM
ejpam-1206	287	8	for	for	ADP
ejpam-1206	287	9	general	general	ADJ
ejpam-1206	287	10	real	real	ADJ
ejpam-1206	287	11	ν	ν	NOUN
ejpam-1206	287	12	,	,	PUNCT
ejpam-1206	287	13	an	an	DET
ejpam-1206	287	14	infinite	infinite	ADJ
ejpam-1206	287	15	string	string	NOUN
ejpam-1206	287	16	of	of	ADP
ejpam-1206	287	17	complex	complex	ADJ
ejpam-1206	287	18	zeros	zero	NOUN
ejpam-1206	287	19	of	of	ADP
ejpam-1206	287	20	cn	cn	PROPN
ejpam-1206	287	21	,	,	PUNCT
ejpam-1206	287	22	p(x	p(x	PROPN
ejpam-1206	287	23	;	;	PUNCT
ejpam-1206	287	24	~ν	~ν	NUM
ejpam-1206	287	25	)	)	PUNCT
ejpam-1206	287	26	and	and	CCONJ
ejpam-1206	287	27	sn	sn	PROPN
ejpam-1206	287	28	,	,	PUNCT
ejpam-1206	287	29	p(x	p(x	PROPN
ejpam-1206	287	30	;	;	PUNCT
ejpam-1206	287	31	~ν	~ν	NUM
ejpam-1206	287	32	)	)	PUNCT
ejpam-1206	287	33	will	will	AUX
ejpam-1206	287	34	be	be	AUX
ejpam-1206	287	35	situated	situate	VERB
ejpam-1206	287	36	in	in	ADP
ejpam-1206	287	37	the	the	DET
ejpam-1206	287	38	right	right	ADJ
ejpam-1206	287	39	-	-	PUNCT
ejpam-1206	287	40	half	half	NOUN
ejpam-1206	287	41	plane	plane	NOUN
ejpam-1206	287	42	near	near	ADP
ejpam-1206	287	43	the	the	DET
ejpam-1206	287	44	anti	anti	ADJ
ejpam-1206	287	45	-	-	ADJ
ejpam-1206	287	46	stokes	stokes	ADJ
ejpam-1206	287	47	lines	line	NOUN
ejpam-1206	287	48	arg	arg	VERB
ejpam-1206	287	49	x	x	PUNCT
ejpam-1206	287	50	=	=	SYM
ejpam-1206	287	51	±πp/(2n	±πp/(2n	PROPN
ejpam-1206	287	52	)	)	PUNCT
ejpam-1206	287	53	.	.	PUNCT
ejpam-1206	288	1	in	in	ADP
ejpam-1206	288	2	the	the	DET
ejpam-1206	288	3	neighbourhood	neighbourhood	NOUN
ejpam-1206	288	4	of	of	ADP
ejpam-1206	288	5	arg	arg	NOUN
ejpam-1206	288	6	x	x	PUNCT
ejpam-1206	288	7	=	=	SYM
ejpam-1206	288	8	πp/(2n	πp/(2n	NOUN
ejpam-1206	288	9	)	)	PUNCT
ejpam-1206	288	10	we	we	PRON
ejpam-1206	288	11	have	have	VERB
ejpam-1206	288	12	from	from	ADP
ejpam-1206	288	13	(	(	PUNCT
ejpam-1206	288	14	25	25	NUM
ejpam-1206	288	15	)	)	PUNCT
ejpam-1206	288	16	and	and	CCONJ
ejpam-1206	288	17	(	(	PUNCT
ejpam-1206	288	18	26	26	NUM
ejpam-1206	288	19	)	)	PUNCT
ejpam-1206	288	20	cn	cn	PROPN
ejpam-1206	288	21	,	,	PUNCT
ejpam-1206	288	22	p	p	PROPN
ejpam-1206	288	23	sn	sn	PROPN
ejpam-1206	288	24	,	,	PUNCT
ejpam-1206	288	25	p	p	X
ejpam-1206	288	26	(	(	PUNCT
ejpam-1206	288	27	x	x	X
ejpam-1206	288	28	;	;	PUNCT
ejpam-1206	288	29	~ν)∼	~ν)∼	PRON
ejpam-1206	288	30	hc	hc	PROPN
ejpam-1206	288	31	,	,	PUNCT
ejpam-1206	288	32	s	s	PART
ejpam-1206	288	33	±	±	NOUN
ejpam-1206	288	34	ξe−	ξe−	NUM
ejpam-1206	288	35	(	(	PUNCT
ejpam-1206	288	36	37	37	NUM
ejpam-1206	288	37	)	)	PUNCT
ejpam-1206	288	38	for	for	ADP
ejpam-1206	288	39	large	large	ADJ
ejpam-1206	288	40	|x	|x	NOUN
ejpam-1206	288	41	|	|	ADV
ejpam-1206	288	42	,	,	PUNCT
ejpam-1206	288	43	where	where	SCONJ
ejpam-1206	288	44	the	the	DET
ejpam-1206	288	45	exponential	exponential	ADJ
ejpam-1206	288	46	expansion	expansion	NOUN
ejpam-1206	288	47	e−	e−	X
ejpam-1206	288	48	is	be	AUX
ejpam-1206	288	49	defined	define	VERB
ejpam-1206	288	50	in	in	ADP
ejpam-1206	288	51	(	(	PUNCT
ejpam-1206	288	52	21	21	NUM
ejpam-1206	288	53	)	)	PUNCT
ejpam-1206	288	54	and	and	CCONJ
ejpam-1206	288	55	,	,	PUNCT
ejpam-1206	288	56	in	in	ADP
ejpam-1206	288	57	the	the	DET
ejpam-1206	288	58	simplest	simple	ADJ
ejpam-1206	288	59	situation	situation	NOUN
ejpam-1206	288	60	where	where	SCONJ
ejpam-1206	288	61	the	the	DET
ejpam-1206	288	62	parameters	parameter	NOUN
ejpam-1206	288	63	νr	νr	VERB
ejpam-1206	288	64	do	do	AUX
ejpam-1206	288	65	not	not	PART
ejpam-1206	288	66	coincide	coincide	VERB
ejpam-1206	288	67	or	or	CCONJ
ejpam-1206	288	68	differ	differ	VERB
ejpam-1206	288	69	by	by	ADP
ejpam-1206	288	70	integer	integer	NOUN
ejpam-1206	288	71	multiples	multiple	NOUN
ejpam-1206	288	72	of	of	ADP
ejpam-1206	288	73	n	n	CCONJ
ejpam-1206	288	74	,	,	PUNCT
ejpam-1206	288	75	the	the	DET
ejpam-1206	288	76	¶the	¶the	DET
ejpam-1206	288	77	statement	statement	NOUN
ejpam-1206	288	78	made	make	VERB
ejpam-1206	288	79	in	in	ADP
ejpam-1206	288	80	[	[	X
ejpam-1206	288	81	5	5	NUM
ejpam-1206	288	82	,	,	PUNCT
ejpam-1206	288	83	p.	p.	NOUN
ejpam-1206	288	84	69	69	NUM
ejpam-1206	288	85	]	]	PUNCT
ejpam-1206	288	86	that	that	DET
ejpam-1206	288	87	cn,1(x	cn,1(x	NOUN
ejpam-1206	288	88	;	;	PUNCT
ejpam-1206	288	89	1	1	X
ejpam-1206	288	90	)	)	PUNCT
ejpam-1206	288	91	has	have	VERB
ejpam-1206	288	92	no	no	DET
ejpam-1206	288	93	real	real	ADJ
ejpam-1206	288	94	zeros	zero	NOUN
ejpam-1206	288	95	when	when	SCONJ
ejpam-1206	288	96	n	n	X
ejpam-1206	288	97	is	be	AUX
ejpam-1206	288	98	odd	odd	ADJ
ejpam-1206	288	99	is	be	AUX
ejpam-1206	288	100	seen	see	VERB
ejpam-1206	288	101	to	to	PART
ejpam-1206	288	102	be	be	AUX
ejpam-1206	288	103	incorrect	incorrect	ADJ
ejpam-1206	288	104	.	.	PUNCT
ejpam-1206	289	1	r.	r.	PROPN
ejpam-1206	289	2	paris	paris	PROPN
ejpam-1206	289	3	/	/	SYM
ejpam-1206	289	4	eur	eur	PROPN
ejpam-1206	289	5	.	.	PUNCT
ejpam-1206	290	1	j.	j.	PROPN
ejpam-1206	290	2	pure	pure	PROPN
ejpam-1206	290	3	appl	appl	PROPN
ejpam-1206	290	4	.	.	PROPN
ejpam-1206	290	5	math	math	PROPN
ejpam-1206	290	6	,	,	PUNCT
ejpam-1206	290	7	5	5	NUM
ejpam-1206	290	8	(	(	PUNCT
ejpam-1206	290	9	2012	2012	NUM
ejpam-1206	290	10	)	)	PUNCT
ejpam-1206	290	11	,	,	PUNCT
ejpam-1206	290	12	260	260	NUM
ejpam-1206	290	13	-	-	SYM
ejpam-1206	290	14	281	281	NUM
ejpam-1206	290	15	274	274	NUM
ejpam-1206	290	16	2	2	NUM
ejpam-1206	290	17	4	4	NUM
ejpam-1206	290	18	6	6	NUM
ejpam-1206	290	19	8	8	NUM
ejpam-1206	290	20	10	10	NUM
ejpam-1206	290	21	-4	-4	INTJ
ejpam-1206	290	22	-2	-2	NOUN
ejpam-1206	290	23	0	0	NUM
ejpam-1206	290	24	2	2	NUM
ejpam-1206	290	25	4	4	NUM
ejpam-1206	290	26	a	a	DET
ejpam-1206	290	27	b	b	NOUN
ejpam-1206	290	28	c	c	NOUN
ejpam-1206	290	29	d	d	X
ejpam-1206	290	30	e	e	X
ejpam-1206	290	31	x	x	PUNCT
ejpam-1206	290	32	x	x	SYM
ejpam-1206	290	33	0	0	NUM
ejpam-1206	290	34	1	1	NUM
ejpam-1206	290	35	(	(	PUNCT
ejpam-1206	290	36	a	a	X
ejpam-1206	290	37	)	)	PUNCT
ejpam-1206	290	38	the	the	DET
ejpam-1206	290	39	zeros	zero	NOUN
ejpam-1206	290	40	x0	x0	PROPN
ejpam-1206	290	41	and	and	CCONJ
ejpam-1206	290	42	x1	x1	PROPN
ejpam-1206	290	43	and	and	CCONJ
ejpam-1206	290	44	their	their	PRON
ejpam-1206	290	45	conjugates	conjugate	NOUN
ejpam-1206	290	46	of	of	ADP
ejpam-1206	290	47	cn,1(x;ν	cn,1(x;ν	NOUN
ejpam-1206	290	48	)	)	PUNCT
ejpam-1206	290	49	when	when	SCONJ
ejpam-1206	290	50	n	n	X
ejpam-1206	290	51	=	=	SYM
ejpam-1206	290	52	4	4	NUM
ejpam-1206	290	53	and	and	CCONJ
ejpam-1206	290	54	ν	ν	X
ejpam-1206	290	55	=	=	NOUN
ejpam-1206	290	56	0.1(0.1)1	0.1(0.1)1	NOUN
ejpam-1206	290	57	.	.	PUNCT
ejpam-1206	291	1	the	the	DET
ejpam-1206	291	2	zeros	zero	NOUN
ejpam-1206	291	3	labelled	label	VERB
ejpam-1206	291	4	a	a	DET
ejpam-1206	291	5	,	,	PUNCT
ejpam-1206	291	6	b	b	NOUN
ejpam-1206	291	7	,	,	PUNCT
ejpam-1206	291	8	c	c	NOUN
ejpam-1206	291	9	,	,	PUNCT
ejpam-1206	292	1	d	d	NOUN
ejpam-1206	292	2	and	and	CCONJ
ejpam-1206	292	3	e	e	NOUN
ejpam-1206	292	4	indicate	indicate	VERB
ejpam-1206	292	5	the	the	DET
ejpam-1206	292	6	real	real	ADJ
ejpam-1206	292	7	zeros	zero	NOUN
ejpam-1206	292	8	when	when	SCONJ
ejpam-1206	292	9	ν	ν	X
ejpam-1206	292	10	=	=	SYM
ejpam-1206	292	11	1	1	NUM
ejpam-1206	292	12	.	.	NOUN
ejpam-1206	292	13	6	6	NUM
ejpam-1206	292	14	7	7	NUM
ejpam-1206	292	15	8	8	NUM
ejpam-1206	292	16	9	9	NUM
ejpam-1206	292	17	10	10	NUM
ejpam-1206	292	18	0	0	NUM
ejpam-1206	292	19	0.5	0.5	NUM
ejpam-1206	292	20	1	1	NUM
ejpam-1206	292	21	1.5	1.5	NUM
ejpam-1206	292	22	2	2	NUM
ejpam-1206	292	23	2.5	2.5	NUM
ejpam-1206	292	24	bc	bc	X
ejpam-1206	292	25	de	de	X
ejpam-1206	292	26	(	(	PUNCT
ejpam-1206	292	27	b	b	NOUN
ejpam-1206	292	28	)	)	PUNCT
ejpam-1206	292	29	the	the	DET
ejpam-1206	292	30	loci	loci	NOUN
ejpam-1206	292	31	in	in	ADP
ejpam-1206	292	32	the	the	DET
ejpam-1206	292	33	upper	upper	ADJ
ejpam-1206	292	34	-	-	PUNCT
ejpam-1206	292	35	half	half	NOUN
ejpam-1206	292	36	plane	plane	NOUN
ejpam-1206	292	37	of	of	ADP
ejpam-1206	292	38	the	the	DET
ejpam-1206	292	39	zeros	zero	NOUN
ejpam-1206	292	40	b	b	PROPN
ejpam-1206	292	41	,	,	PUNCT
ejpam-1206	292	42	c	c	PROPN
ejpam-1206	292	43	and	and	CCONJ
ejpam-1206	292	44	d	d	NOUN
ejpam-1206	292	45	,	,	PUNCT
ejpam-1206	292	46	e	e	NOUN
ejpam-1206	292	47	after	after	ADP
ejpam-1206	292	48	coalescence	coalescence	NOUN
ejpam-1206	292	49	.	.	PUNCT
ejpam-1206	293	1	the	the	DET
ejpam-1206	293	2	arrows	arrow	NOUN
ejpam-1206	293	3	indicate	indicate	VERB
ejpam-1206	293	4	the	the	DET
ejpam-1206	293	5	sense	sense	NOUN
ejpam-1206	293	6	of	of	ADP
ejpam-1206	293	7	increasing	increase	VERB
ejpam-1206	293	8	ν	ν	NOUN
ejpam-1206	293	9	.	.	PUNCT
ejpam-1206	294	1	figure	figure	VERB
ejpam-1206	294	2	3	3	NUM
ejpam-1206	294	3	algebraic	algebraic	ADJ
ejpam-1206	294	4	expansions	expansion	NOUN
ejpam-1206	294	5	hc	hc	PROPN
ejpam-1206	294	6	,	,	PUNCT
ejpam-1206	294	7	s	s	VERB
ejpam-1206	294	8	are	be	AUX
ejpam-1206	294	9	defined	define	VERB
ejpam-1206	294	10	by	by	ADP
ejpam-1206	294	11	(	(	PUNCT
ejpam-1206	294	12	22	22	NUM
ejpam-1206	294	13	)	)	PUNCT
ejpam-1206	294	14	and	and	CCONJ
ejpam-1206	294	15	(	(	PUNCT
ejpam-1206	294	16	23	23	NUM
ejpam-1206	294	17	)	)	PUNCT
ejpam-1206	294	18	.	.	PUNCT
ejpam-1206	295	1	we	we	PRON
ejpam-1206	295	2	recall	recall	VERB
ejpam-1206	295	3	that	that	PRON
ejpam-1206	295	4	ξ	ξ	X
ejpam-1206	295	5	=	=	SYM
ejpam-1206	295	6	2−1	2−1	NUM
ejpam-1206	295	7	for	for	ADP
ejpam-1206	295	8	cn	cn	PROPN
ejpam-1206	295	9	,	,	PUNCT
ejpam-1206	295	10	p(x	p(x	PROPN
ejpam-1206	295	11	;	;	PUNCT
ejpam-1206	295	12	~ν	~ν	NUM
ejpam-1206	295	13	)	)	PUNCT
ejpam-1206	295	14	and	and	CCONJ
ejpam-1206	295	15	ξ	ξ	X
ejpam-1206	295	16	=	=	SYM
ejpam-1206	295	17	(	(	PUNCT
ejpam-1206	295	18	2i)−1	2i)−1	NOUN
ejpam-1206	295	19	for	for	ADP
ejpam-1206	295	20	sn	sn	PROPN
ejpam-1206	295	21	,	,	PUNCT
ejpam-1206	295	22	p(x	p(x	PROPN
ejpam-1206	295	23	;	;	PUNCT
ejpam-1206	295	24	~ν	~ν	NUM
ejpam-1206	295	25	)	)	PUNCT
ejpam-1206	295	26	.	.	PUNCT
ejpam-1206	296	1	if	if	SCONJ
ejpam-1206	296	2	one	one	NUM
ejpam-1206	296	3	of	of	ADP
ejpam-1206	296	4	these	these	DET
ejpam-1206	296	5	parameters	parameter	NOUN
ejpam-1206	296	6	,	,	PUNCT
ejpam-1206	296	7	say	say	VERB
ejpam-1206	296	8	ν1	ν1	NOUN
ejpam-1206	296	9	,	,	PUNCT
ejpam-1206	296	10	is	be	AUX
ejpam-1206	296	11	much	much	ADV
ejpam-1206	296	12	smaller	small	ADJ
ejpam-1206	296	13	than	than	ADP
ejpam-1206	296	14	the	the	DET
ejpam-1206	296	15	others	other	NOUN
ejpam-1206	296	16	,	,	PUNCT
ejpam-1206	296	17	then	then	ADV
ejpam-1206	296	18	the	the	DET
ejpam-1206	296	19	term	term	NOUN
ejpam-1206	296	20	containing	contain	VERB
ejpam-1206	296	21	(	(	PUNCT
ejpam-1206	296	22	np	np	INTJ
ejpam-1206	296	23	/	/	SYM
ejpam-1206	296	24	nx)−ν1	nx)−ν1	NOUN
ejpam-1206	296	25	will	will	AUX
ejpam-1206	296	26	be	be	AUX
ejpam-1206	296	27	the	the	DET
ejpam-1206	296	28	dominant	dominant	ADJ
ejpam-1206	296	29	term	term	NOUN
ejpam-1206	296	30	in	in	ADP
ejpam-1206	296	31	hc	hc	PROPN
ejpam-1206	296	32	,	,	PUNCT
ejpam-1206	296	33	s	s	X
ejpam-1206	296	34	as	as	ADP
ejpam-1206	296	35	|x	|x	NOUN
ejpam-1206	296	36	|	|	ADV
ejpam-1206	296	37	→∞	→∞	PROPN
ejpam-1206	296	38	and	and	CCONJ
ejpam-1206	296	39	a	a	DET
ejpam-1206	296	40	similar	similar	ADJ
ejpam-1206	296	41	procedure	procedure	NOUN
ejpam-1206	296	42	to	to	ADP
ejpam-1206	296	43	that	that	PRON
ejpam-1206	296	44	described	describe	VERB
ejpam-1206	296	45	in	in	ADP
ejpam-1206	296	46	section	section	NOUN
ejpam-1206	296	47	4.2	4.2	NUM
ejpam-1206	296	48	for	for	ADP
ejpam-1206	296	49	the	the	DET
ejpam-1206	296	50	case	case	NOUN
ejpam-1206	296	51	p	p	X
ejpam-1206	296	52	=	=	NOUN
ejpam-1206	296	53	1	1	NUM
ejpam-1206	296	54	can	can	AUX
ejpam-1206	296	55	be	be	AUX
ejpam-1206	296	56	followed	follow	VERB
ejpam-1206	296	57	.	.	PUNCT
ejpam-1206	297	1	if	if	SCONJ
ejpam-1206	297	2	,	,	PUNCT
ejpam-1206	297	3	on	on	ADP
ejpam-1206	297	4	the	the	DET
ejpam-1206	297	5	other	other	ADJ
ejpam-1206	297	6	hand	hand	NOUN
ejpam-1206	297	7	,	,	PUNCT
ejpam-1206	297	8	the	the	DET
ejpam-1206	297	9	νr	νr	NOUN
ejpam-1206	297	10	are	be	AUX
ejpam-1206	297	11	comparable	comparable	ADJ
ejpam-1206	297	12	then	then	ADV
ejpam-1206	297	13	the	the	DET
ejpam-1206	297	14	complex	complex	ADJ
ejpam-1206	297	15	zeros	zero	NOUN
ejpam-1206	297	16	can	can	AUX
ejpam-1206	297	17	be	be	AUX
ejpam-1206	297	18	estimated	estimate	VERB
ejpam-1206	297	19	by	by	ADP
ejpam-1206	297	20	direct	direct	ADJ
ejpam-1206	297	21	solution	solution	NOUN
ejpam-1206	297	22	of	of	ADP
ejpam-1206	297	23	the	the	DET
ejpam-1206	297	24	leading	lead	VERB
ejpam-1206	297	25	-	-	PUNCT
ejpam-1206	297	26	order	order	NOUN
ejpam-1206	297	27	form	form	NOUN
ejpam-1206	297	28	of	of	ADP
ejpam-1206	297	29	(	(	PUNCT
ejpam-1206	297	30	37	37	NUM
ejpam-1206	297	31	)	)	PUNCT
ejpam-1206	297	32	.	.	PUNCT
ejpam-1206	298	1	to	to	PART
ejpam-1206	298	2	illustrate	illustrate	VERB
ejpam-1206	298	3	,	,	PUNCT
ejpam-1206	298	4	we	we	PRON
ejpam-1206	298	5	consider	consider	VERB
ejpam-1206	298	6	the	the	DET
ejpam-1206	298	7	case	case	NOUN
ejpam-1206	298	8	p	p	X
ejpam-1206	298	9	=	=	NOUN
ejpam-1206	298	10	2	2	NUM
ejpam-1206	298	11	with	with	ADP
ejpam-1206	298	12	ν1	ν1	NOUN
ejpam-1206	298	13	=	=	SYM
ejpam-1206	298	14	1	1	NUM
ejpam-1206	298	15	2	2	NUM
ejpam-1206	298	16	and	and	CCONJ
ejpam-1206	298	17	ν2	ν2	NOUN
ejpam-1206	298	18	=	=	SYM
ejpam-1206	298	19	3	3	NUM
ejpam-1206	298	20	2	2	NUM
ejpam-1206	298	21	.	.	PUNCT
ejpam-1206	299	1	then	then	ADV
ejpam-1206	299	2	(	(	PUNCT
ejpam-1206	299	3	37	37	NUM
ejpam-1206	299	4	)	)	PUNCT
ejpam-1206	299	5	to	to	ADP
ejpam-1206	299	6	leading	lead	VERB
ejpam-1206	299	7	order	order	NOUN
ejpam-1206	299	8	yields	yield	NOUN
ejpam-1206	299	9	nϑ	nϑ	NOUN
ejpam-1206	299	10	¨	¨	NOUN
ejpam-1206	299	11	(	(	PUNCT
ejpam-1206	299	12	n2	n2	NOUN
ejpam-1206	299	13	/	/	SYM
ejpam-1206	299	14	n	n	NOUN
ejpam-1206	299	15	x)−	x)−	PROPN
ejpam-1206	299	16	1	1	NUM
ejpam-1206	299	17	2γ(1	2γ(1	NUM
ejpam-1206	299	18	2	2	NUM
ejpam-1206	299	19	)	)	PUNCT
ejpam-1206	299	20	γ	γ	X
ejpam-1206	299	21	(	(	PUNCT
ejpam-1206	299	22	1	1	NUM
ejpam-1206	299	23	/	/	SYM
ejpam-1206	299	24	n	n	CCONJ
ejpam-1206	299	25	)	)	PUNCT
ejpam-1206	299	26	cos	cos	ADP
ejpam-1206	299	27	sin	sin	NOUN
ejpam-1206	299	28	(	(	PUNCT
ejpam-1206	299	29	1	1	NUM
ejpam-1206	299	30	4	4	NUM
ejpam-1206	299	31	π	π	NOUN
ejpam-1206	299	32	)	)	PUNCT
ejpam-1206	300	1	+	+	CCONJ
ejpam-1206	300	2	(	(	PUNCT
ejpam-1206	300	3	n2	n2	ADJ
ejpam-1206	300	4	/	/	SYM
ejpam-1206	300	5	n	n	PROPN
ejpam-1206	300	6	x)−	x)−	PROPN
ejpam-1206	300	7	3	3	NUM
ejpam-1206	300	8	2γ(3	2γ(3	NUM
ejpam-1206	300	9	2	2	NUM
ejpam-1206	300	10	)	)	PUNCT
ejpam-1206	300	11	γ	γ	PROPN
ejpam-1206	300	12	(	(	PUNCT
ejpam-1206	300	13	−1	−1	NOUN
ejpam-1206	300	14	/	/	SYM
ejpam-1206	300	15	n	n	CCONJ
ejpam-1206	300	16	)	)	PUNCT
ejpam-1206	300	17	cos	cos	ADP
ejpam-1206	300	18	sin	sin	NOUN
ejpam-1206	300	19	(	(	PUNCT
ejpam-1206	300	20	3	3	NUM
ejpam-1206	300	21	4	4	NUM
ejpam-1206	300	22	π	π	NOUN
ejpam-1206	300	23	)	)	PUNCT
ejpam-1206	300	24	«	«	PUNCT
ejpam-1206	300	25	±	±	NUM
ejpam-1206	300	26	2πξ	2πξ	NOUN
ejpam-1206	300	27	nκ	nκ	ADP
ejpam-1206	300	28	1	1	NUM
ejpam-1206	300	29	2	2	NUM
ejpam-1206	300	30	(	(	PUNCT
ejpam-1206	300	31	−i	−i	PROPN
ejpam-1206	300	32	x)ϑ/κ	x)ϑ/κ	PROPN
ejpam-1206	300	33	exp	exp	PROPN
ejpam-1206	300	34	(	(	PUNCT
ejpam-1206	300	35	x	x	NOUN
ejpam-1206	300	36	e−πi/(2κ	e−πi/(2κ	NOUN
ejpam-1206	300	37	)	)	PUNCT
ejpam-1206	300	38	)	)	PUNCT
ejpam-1206	301	1	=	=	PUNCT
ejpam-1206	301	2	0	0	X
ejpam-1206	301	3	.	.	PUNCT
ejpam-1206	302	1	(	(	PUNCT
ejpam-1206	302	2	38	38	NUM
ejpam-1206	302	3	)	)	PUNCT
ejpam-1206	302	4	solution	solution	NOUN
ejpam-1206	302	5	of	of	ADP
ejpam-1206	302	6	this	this	DET
ejpam-1206	302	7	equation	equation	NOUN
ejpam-1206	302	8	can	can	AUX
ejpam-1206	302	9	be	be	AUX
ejpam-1206	302	10	carried	carry	VERB
ejpam-1206	302	11	out	out	ADP
ejpam-1206	302	12	using	use	VERB
ejpam-1206	302	13	the	the	DET
ejpam-1206	302	14	secant	secant	ADJ
ejpam-1206	302	15	method	method	NOUN
ejpam-1206	302	16	in	in	ADP
ejpam-1206	302	17	mathematica	mathematica	PROPN
ejpam-1206	302	18	.	.	PUNCT
ejpam-1206	303	1	when	when	SCONJ
ejpam-1206	303	2	p	p	PRON
ejpam-1206	303	3	≥	≥	NOUN
ejpam-1206	303	4	2	2	NUM
ejpam-1206	303	5	,	,	PUNCT
ejpam-1206	303	6	it	it	PRON
ejpam-1206	303	7	becomes	become	VERB
ejpam-1206	303	8	possible	possible	ADJ
ejpam-1206	303	9	to	to	PART
ejpam-1206	303	10	encounter	encounter	VERB
ejpam-1206	303	11	a	a	DET
ejpam-1206	303	12	more	more	ADV
ejpam-1206	303	13	complicated	complicated	ADJ
ejpam-1206	303	14	structure	structure	NOUN
ejpam-1206	303	15	for	for	ADP
ejpam-1206	303	16	the	the	DET
ejpam-1206	303	17	algebraic	algebraic	ADJ
ejpam-1206	303	18	expansion	expansion	NOUN
ejpam-1206	303	19	.	.	PUNCT
ejpam-1206	304	1	when	when	SCONJ
ejpam-1206	304	2	some	some	PRON
ejpam-1206	304	3	of	of	ADP
ejpam-1206	304	4	the	the	DET
ejpam-1206	304	5	νr	νr	NOUN
ejpam-1206	304	6	either	either	CCONJ
ejpam-1206	304	7	coincide	coincide	VERB
ejpam-1206	304	8	or	or	CCONJ
ejpam-1206	304	9	differ	differ	VERB
ejpam-1206	304	10	by	by	ADP
ejpam-1206	304	11	integer	integer	NOUN
ejpam-1206	304	12	multiples	multiple	NOUN
ejpam-1206	304	13	of	of	ADP
ejpam-1206	304	14	n	n	CCONJ
ejpam-1206	304	15	,	,	PUNCT
ejpam-1206	304	16	some	some	PRON
ejpam-1206	304	17	of	of	ADP
ejpam-1206	304	18	the	the	DET
ejpam-1206	304	19	poles	pole	NOUN
ejpam-1206	304	20	in	in	ADP
ejpam-1206	304	21	the	the	DET
ejpam-1206	304	22	integrand	integrand	NOUN
ejpam-1206	304	23	of	of	ADP
ejpam-1206	304	24	(	(	PUNCT
ejpam-1206	304	25	10	10	NUM
ejpam-1206	304	26	)	)	PUNCT
ejpam-1206	304	27	are	be	AUX
ejpam-1206	304	28	of	of	ADP
ejpam-1206	304	29	higher	high	ADJ
ejpam-1206	304	30	order	order	NOUN
ejpam-1206	304	31	and	and	CCONJ
ejpam-1206	304	32	logarithmic	logarithmic	ADJ
ejpam-1206	304	33	terms	term	NOUN
ejpam-1206	304	34	can	can	AUX
ejpam-1206	304	35	appear	appear	VERB
ejpam-1206	304	36	.	.	PUNCT
ejpam-1206	305	1	this	this	PRON
ejpam-1206	305	2	is	be	AUX
ejpam-1206	305	3	discussed	discuss	VERB
ejpam-1206	305	4	fully	fully	ADV
ejpam-1206	305	5	in	in	ADP
ejpam-1206	305	6	[	[	X
ejpam-1206	305	7	12	12	NUM
ejpam-1206	305	8	,	,	PUNCT
ejpam-1206	305	9	§	§	NOUN
ejpam-1206	305	10	3.5	3.5	NUM
ejpam-1206	305	11	]	]	PUNCT
ejpam-1206	305	12	.	.	PUNCT
ejpam-1206	306	1	as	as	ADP
ejpam-1206	306	2	an	an	DET
ejpam-1206	306	3	example	example	NOUN
ejpam-1206	306	4	,	,	PUNCT
ejpam-1206	306	5	we	we	PRON
ejpam-1206	306	6	let	let	VERB
ejpam-1206	306	7	n	n	X
ejpam-1206	306	8	=	=	SYM
ejpam-1206	306	9	6	6	NUM
ejpam-1206	306	10	,	,	PUNCT
ejpam-1206	306	11	p	p	NOUN
ejpam-1206	306	12	=	=	SYM
ejpam-1206	306	13	2	2	NUM
ejpam-1206	306	14	and	and	CCONJ
ejpam-1206	306	15	consider	consider	VERB
ejpam-1206	306	16	the	the	DET
ejpam-1206	306	17	two	two	NUM
ejpam-1206	306	18	cases	case	NOUN
ejpam-1206	306	19	(	(	PUNCT
ejpam-1206	306	20	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	306	21	)	)	PUNCT
ejpam-1206	306	22	=	=	PRON
ejpam-1206	307	1	(	(	PUNCT
ejpam-1206	307	2	1,1	1,1	NUM
ejpam-1206	307	3	)	)	PUNCT
ejpam-1206	307	4	and	and	CCONJ
ejpam-1206	307	5	(	(	PUNCT
ejpam-1206	307	6	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	307	7	)	)	PUNCT
ejpam-1206	307	8	=	=	PUNCT
ejpam-1206	308	1	(	(	PUNCT
ejpam-1206	308	2	1,7	1,7	NUM
ejpam-1206	308	3	)	)	PUNCT
ejpam-1206	308	4	.	.	PUNCT
ejpam-1206	309	1	for	for	ADP
ejpam-1206	309	2	the	the	DET
ejpam-1206	309	3	first	first	ADJ
ejpam-1206	309	4	case	case	NOUN
ejpam-1206	309	5	all	all	DET
ejpam-1206	309	6	the	the	DET
ejpam-1206	309	7	poles	pole	NOUN
ejpam-1206	309	8	in	in	ADP
ejpam-1206	309	9	(	(	PUNCT
ejpam-1206	309	10	10	10	NUM
ejpam-1206	309	11	)	)	PUNCT
ejpam-1206	309	12	in	in	ADP
ejpam-1206	309	13	re(s	re(s	ADJ
ejpam-1206	309	14	)	)	PUNCT
ejpam-1206	309	15	<	<	X
ejpam-1206	309	16	0	0	NUM
ejpam-1206	309	17	are	be	AUX
ejpam-1206	309	18	double	double	ADJ
ejpam-1206	309	19	,	,	PUNCT
ejpam-1206	309	20	whereas	whereas	SCONJ
ejpam-1206	309	21	for	for	ADP
ejpam-1206	309	22	the	the	DET
ejpam-1206	309	23	second	second	ADJ
ejpam-1206	309	24	case	case	NOUN
ejpam-1206	309	25	the	the	DET
ejpam-1206	309	26	pole	pole	NOUN
ejpam-1206	309	27	at	at	ADP
ejpam-1206	309	28	s	s	NOUN
ejpam-1206	309	29	=	=	NOUN
ejpam-1206	309	30	−1	−1	NOUN
ejpam-1206	309	31	is	be	AUX
ejpam-1206	309	32	simple	simple	ADJ
ejpam-1206	309	33	with	with	ADP
ejpam-1206	309	34	those	those	PRON
ejpam-1206	309	35	at	at	ADP
ejpam-1206	309	36	s	s	NOUN
ejpam-1206	309	37	=	=	VERB
ejpam-1206	309	38	−7−6k	−7−6k	PROPN
ejpam-1206	309	39	(	(	PUNCT
ejpam-1206	309	40	k	k	NOUN
ejpam-1206	310	1	=	=	NOUN
ejpam-1206	310	2	0,1,2	0,1,2	NUM
ejpam-1206	310	3	,	,	PUNCT
ejpam-1206	310	4	.	.	PUNCT
ejpam-1206	310	5	.	.	PUNCT
ejpam-1206	310	6	.	.	PUNCT
ejpam-1206	310	7	)	)	PUNCT
ejpam-1206	311	1	being	be	AUX
ejpam-1206	311	2	double	double	ADJ
ejpam-1206	311	3	.	.	PUNCT
ejpam-1206	312	1	if	if	SCONJ
ejpam-1206	312	2	we	we	PRON
ejpam-1206	312	3	write	write	VERB
ejpam-1206	312	4	ν1,2	ν1,2	PROPN
ejpam-1206	312	5	≡	≡	PROPN
ejpam-1206	312	6	a±3	a±3	NOUN
ejpam-1206	312	7	m	m	PROPN
ejpam-1206	312	8	,	,	PUNCT
ejpam-1206	312	9	where	where	SCONJ
ejpam-1206	312	10	m	m	VERB
ejpam-1206	312	11	=	=	NOUN
ejpam-1206	312	12	0,1,2	0,1,2	NUM
ejpam-1206	312	13	,	,	PUNCT
ejpam-1206	312	14	.	.	PUNCT
ejpam-1206	312	15	.	.	PUNCT
ejpam-1206	313	1	.	.	PUNCT
ejpam-1206	314	1	,	,	PUNCT
ejpam-1206	314	2	we	we	PRON
ejpam-1206	314	3	have	have	VERB
ejpam-1206	314	4	a	a	DET
ejpam-1206	314	5	=	=	SYM
ejpam-1206	314	6	1	1	NUM
ejpam-1206	314	7	,	,	PUNCT
ejpam-1206	314	8	m	m	VERB
ejpam-1206	314	9	=	=	NOUN
ejpam-1206	314	10	0	0	NUM
ejpam-1206	314	11	for	for	ADP
ejpam-1206	314	12	the	the	DET
ejpam-1206	314	13	first	first	ADJ
ejpam-1206	314	14	case	case	NOUN
ejpam-1206	314	15	and	and	CCONJ
ejpam-1206	314	16	a	a	DET
ejpam-1206	314	17	=	=	SYM
ejpam-1206	314	18	4	4	NUM
ejpam-1206	314	19	,	,	PUNCT
ejpam-1206	314	20	m	m	VERB
ejpam-1206	314	21	=	=	NOUN
ejpam-1206	314	22	1	1	NUM
ejpam-1206	314	23	for	for	ADP
ejpam-1206	314	24	the	the	DET
ejpam-1206	314	25	second	second	ADJ
ejpam-1206	314	26	case‖.	case‖.	NUM
ejpam-1206	314	27	from	from	ADP
ejpam-1206	314	28	[	[	X
ejpam-1206	314	29	12	12	NUM
ejpam-1206	314	30	,	,	PUNCT
ejpam-1206	314	31	p.	p.	NOUN
ejpam-1206	314	32	81	81	NUM
ejpam-1206	314	33	]	]	PUNCT
ejpam-1206	314	34	,	,	PUNCT
ejpam-1206	314	35	the	the	DET
ejpam-1206	314	36	algebraic	algebraic	ADJ
ejpam-1206	314	37	expansion	expansion	NOUN
ejpam-1206	314	38	of	of	ADP
ejpam-1206	314	39	u6,2(z	u6,2(z	NOUN
ejpam-1206	314	40	;	;	PUNCT
ejpam-1206	314	41	~ν	~ν	NUM
ejpam-1206	314	42	)	)	PUNCT
ejpam-1206	314	43	in	in	ADP
ejpam-1206	314	44	(	(	PUNCT
ejpam-1206	314	45	22	22	NUM
ejpam-1206	314	46	)	)	PUNCT
ejpam-1206	314	47	when	when	SCONJ
ejpam-1206	314	48	ν1,2	ν1,2	PROPN
ejpam-1206	314	49	=	=	SYM
ejpam-1206	314	50	a±	a±	PROPN
ejpam-1206	314	51	3	3	NUM
ejpam-1206	314	52	m	m	NOUN
ejpam-1206	314	53	becomes	become	VERB
ejpam-1206	314	54	h(z	h(z	NOUN
ejpam-1206	314	55	)	)	PUNCT
ejpam-1206	315	1	=	=	NOUN
ejpam-1206	315	2	6(6	6(6	NUM
ejpam-1206	315	3	1	1	NUM
ejpam-1206	315	4	3	3	NUM
ejpam-1206	315	5	z)−a+3	z)−a+3	NOUN
ejpam-1206	315	6	m	m	NOUN
ejpam-1206	315	7	m−1	m−1	PROPN
ejpam-1206	315	8	∑	∑	PUNCT
ejpam-1206	315	9	k=0	k=0	PROPN
ejpam-1206	315	10	(	(	PUNCT
ejpam-1206	315	11	−)k	−)k	NOUN
ejpam-1206	315	12	k	k	PROPN
ejpam-1206	315	13	!	!	PUNCT
ejpam-1206	315	14	γ(a−	γ(a−	PROPN
ejpam-1206	315	15	3m+	3m+	NUM
ejpam-1206	315	16	6k)γ(m−	6k)γ(m−	NUM
ejpam-1206	315	17	k)(6	k)(6	PROPN
ejpam-1206	315	18	1	1	NUM
ejpam-1206	315	19	3	3	NUM
ejpam-1206	315	20	z)−6k	z)−6k	NOUN
ejpam-1206	315	21	‖in	‖in	NUM
ejpam-1206	315	22	terms	term	NOUN
ejpam-1206	315	23	of	of	ADP
ejpam-1206	315	24	the	the	DET
ejpam-1206	315	25	differential	differential	ADJ
ejpam-1206	315	26	equation	equation	NOUN
ejpam-1206	315	27	(	(	PUNCT
ejpam-1206	315	28	5	5	X
ejpam-1206	315	29	)	)	PUNCT
ejpam-1206	315	30	we	we	PRON
ejpam-1206	315	31	have	have	VERB
ejpam-1206	315	32	the	the	DET
ejpam-1206	315	33	coefficients	coefficient	NOUN
ejpam-1206	315	34	a0	a0	NOUN
ejpam-1206	315	35	=	=	SYM
ejpam-1206	315	36	1	1	NUM
ejpam-1206	315	37	,	,	PUNCT
ejpam-1206	315	38	a1	a1	NOUN
ejpam-1206	315	39	=	=	SYM
ejpam-1206	315	40	3	3	NUM
ejpam-1206	315	41	for	for	ADP
ejpam-1206	315	42	the	the	DET
ejpam-1206	315	43	first	first	ADJ
ejpam-1206	315	44	case	case	NOUN
ejpam-1206	315	45	and	and	CCONJ
ejpam-1206	315	46	a0	a0	NOUN
ejpam-1206	315	47	=	=	SYM
ejpam-1206	315	48	7	7	NUM
ejpam-1206	315	49	,	,	PUNCT
ejpam-1206	315	50	a1	a1	NOUN
ejpam-1206	315	51	=	=	SYM
ejpam-1206	315	52	9	9	NUM
ejpam-1206	315	53	for	for	ADP
ejpam-1206	315	54	the	the	DET
ejpam-1206	315	55	second	second	ADJ
ejpam-1206	315	56	case	case	NOUN
ejpam-1206	315	57	.	.	PUNCT
ejpam-1206	316	1	r.	r.	PROPN
ejpam-1206	316	2	paris	paris	PROPN
ejpam-1206	316	3	/	/	SYM
ejpam-1206	316	4	eur	eur	PROPN
ejpam-1206	316	5	.	.	PUNCT
ejpam-1206	317	1	j.	j.	PROPN
ejpam-1206	317	2	pure	pure	PROPN
ejpam-1206	317	3	appl	appl	PROPN
ejpam-1206	317	4	.	.	PROPN
ejpam-1206	317	5	math	math	PROPN
ejpam-1206	317	6	,	,	PUNCT
ejpam-1206	317	7	5	5	NUM
ejpam-1206	317	8	(	(	PUNCT
ejpam-1206	317	9	2012	2012	NUM
ejpam-1206	317	10	)	)	PUNCT
ejpam-1206	317	11	,	,	PUNCT
ejpam-1206	317	12	260	260	NUM
ejpam-1206	317	13	-	-	SYM
ejpam-1206	317	14	281	281	NUM
ejpam-1206	317	15	275	275	NUM
ejpam-1206	317	16	2.5	2.5	NUM
ejpam-1206	317	17	5	5	NUM
ejpam-1206	317	18	7.5	7.5	NUM
ejpam-1206	317	19	10	10	NUM
ejpam-1206	317	20	12.5	12.5	NUM
ejpam-1206	317	21	15	15	NUM
ejpam-1206	317	22	17.5	17.5	NUM
ejpam-1206	317	23	20	20	NUM
ejpam-1206	317	24	-10	-10	PUNCT
ejpam-1206	317	25	-5	-5	NOUN
ejpam-1206	317	26	0	0	NUM
ejpam-1206	317	27	5	5	NUM
ejpam-1206	317	28	10	10	NUM
ejpam-1206	317	29	(	(	PUNCT
ejpam-1206	317	30	a	a	NOUN
ejpam-1206	317	31	)	)	PUNCT
ejpam-1206	317	32	ν	ν	NOUN
ejpam-1206	317	33	=	=	SYM
ejpam-1206	317	34	0.50	0.50	NUM
ejpam-1206	317	35	5	5	NUM
ejpam-1206	317	36	10	10	NUM
ejpam-1206	317	37	15	15	NUM
ejpam-1206	317	38	20	20	NUM
ejpam-1206	317	39	-10	-10	PUNCT
ejpam-1206	317	40	-5	-5	NOUN
ejpam-1206	317	41	0	0	NUM
ejpam-1206	318	1	5	5	NUM
ejpam-1206	318	2	10	10	NUM
ejpam-1206	318	3	(	(	PUNCT
ejpam-1206	318	4	b	b	NOUN
ejpam-1206	318	5	)	)	PUNCT
ejpam-1206	318	6	ν	ν	NOUN
ejpam-1206	318	7	=	=	SYM
ejpam-1206	318	8	0.85	0.85	NUM
ejpam-1206	318	9	5	5	NUM
ejpam-1206	318	10	10	10	NUM
ejpam-1206	318	11	15	15	NUM
ejpam-1206	318	12	20	20	NUM
ejpam-1206	318	13	-10	-10	PUNCT
ejpam-1206	318	14	-5	-5	NOUN
ejpam-1206	318	15	0	0	NUM
ejpam-1206	318	16	5	5	NUM
ejpam-1206	318	17	10	10	NUM
ejpam-1206	318	18	(	(	PUNCT
ejpam-1206	318	19	c	c	NOUN
ejpam-1206	318	20	)	)	PUNCT
ejpam-1206	319	1	ν	ν	NOUN
ejpam-1206	319	2	=	=	SYM
ejpam-1206	319	3	0.99	0.99	NUM
ejpam-1206	319	4	5	5	NUM
ejpam-1206	319	5	10	10	NUM
ejpam-1206	319	6	15	15	NUM
ejpam-1206	319	7	20	20	NUM
ejpam-1206	319	8	-10	-10	PUNCT
ejpam-1206	319	9	-5	-5	NOUN
ejpam-1206	319	10	0	0	NUM
ejpam-1206	319	11	5	5	NUM
ejpam-1206	319	12	10	10	NUM
ejpam-1206	319	13	(	(	PUNCT
ejpam-1206	319	14	d	d	NOUN
ejpam-1206	319	15	)	)	PUNCT
ejpam-1206	319	16	ν	ν	NOUN
ejpam-1206	319	17	=	=	SYM
ejpam-1206	319	18	1	1	NUM
ejpam-1206	319	19	figure	figure	NOUN
ejpam-1206	319	20	4	4	NUM
ejpam-1206	319	21	:	:	PUNCT
ejpam-1206	319	22	the	the	DET
ejpam-1206	319	23	distribution	distribution	NOUN
ejpam-1206	319	24	of	of	ADP
ejpam-1206	319	25	the	the	DET
ejpam-1206	319	26	zeros	zero	NOUN
ejpam-1206	319	27	of	of	ADP
ejpam-1206	319	28	cn,1(x	cn,1(x	NOUN
ejpam-1206	319	29	;	;	PUNCT
ejpam-1206	319	30	ν	ν	X
ejpam-1206	319	31	)	)	PUNCT
ejpam-1206	319	32	in	in	ADP
ejpam-1206	319	33	the	the	DET
ejpam-1206	319	34	right	right	ADJ
ejpam-1206	319	35	-	-	PUNCT
ejpam-1206	319	36	half	half	NOUN
ejpam-1206	319	37	plane	plane	NOUN
ejpam-1206	319	38	when	when	SCONJ
ejpam-1206	319	39	n	n	X
ejpam-1206	319	40	=	=	SYM
ejpam-1206	319	41	4	4	NUM
ejpam-1206	319	42	and	and	CCONJ
ejpam-1206	319	43	ν	ν	X
ejpam-1206	319	44	=	=	PUNCT
ejpam-1206	320	1	[	[	X
ejpam-1206	320	2	0.50,0.85,0.99,1	0.50,0.85,0.99,1	X
ejpam-1206	320	3	]	]	X
ejpam-1206	320	4	.	.	PUNCT
ejpam-1206	321	1	the	the	DET
ejpam-1206	321	2	rays	ray	NOUN
ejpam-1206	321	3	arg	arg	VERB
ejpam-1206	321	4	x	x	PUNCT
ejpam-1206	322	1	=	=	PUNCT
ejpam-1206	322	2	±π/8	±π/8	NOUN
ejpam-1206	322	3	are	be	AUX
ejpam-1206	322	4	the	the	DET
ejpam-1206	322	5	anti	anti	ADJ
ejpam-1206	322	6	-	-	ADJ
ejpam-1206	322	7	stokes	stokes	ADJ
ejpam-1206	322	8	lines	line	NOUN
ejpam-1206	322	9	.	.	PUNCT
ejpam-1206	323	1	+	+	CCONJ
ejpam-1206	323	2	(	(	PUNCT
ejpam-1206	323	3	−)m6(6	−)m6(6	NOUN
ejpam-1206	323	4	1	1	NUM
ejpam-1206	323	5	3	3	NUM
ejpam-1206	323	6	z)−a−3	z)−a−3	NUM
ejpam-1206	323	7	m	m	NUM
ejpam-1206	323	8	∞	∞	NUM
ejpam-1206	323	9	∑	∑	X
ejpam-1206	323	10	k=0	k=0	X
ejpam-1206	323	11	γ(a+	γ(a+	PROPN
ejpam-1206	323	12	3m+	3m+	NUM
ejpam-1206	323	13	6k	6k	NOUN
ejpam-1206	323	14	)	)	PUNCT
ejpam-1206	323	15	k!(k+m	k!(k+m	PROPN
ejpam-1206	323	16	)	)	PUNCT
ejpam-1206	323	17	!	!	PUNCT
ejpam-1206	324	1	(	(	PUNCT
ejpam-1206	324	2	6	6	NUM
ejpam-1206	324	3	1	1	NUM
ejpam-1206	324	4	3	3	NUM
ejpam-1206	324	5	z)−6k	z)−6k	NOUN
ejpam-1206	324	6	×	×	NOUN
ejpam-1206	324	7	{	{	PUNCT
ejpam-1206	324	8	6	6	NUM
ejpam-1206	324	9	log	log	NOUN
ejpam-1206	324	10	(	(	PUNCT
ejpam-1206	324	11	6	6	NUM
ejpam-1206	324	12	1	1	NUM
ejpam-1206	324	13	3	3	NUM
ejpam-1206	324	14	z	z	NOUN
ejpam-1206	324	15	)	)	PUNCT
ejpam-1206	325	1	+	+	NOUN
ejpam-1206	325	2	ψ(k+	ψ(k+	ADJ
ejpam-1206	325	3	1	1	NUM
ejpam-1206	325	4	)	)	PUNCT
ejpam-1206	325	5	+	+	NOUN
ejpam-1206	325	6	ψ(k+m+	ψ(k+m+	X
ejpam-1206	325	7	1)−	1)−	PROPN
ejpam-1206	325	8	6ψ(a+	6ψ(a+	PROPN
ejpam-1206	325	9	3m+	3m+	NUM
ejpam-1206	325	10	6k	6k	NOUN
ejpam-1206	325	11	)	)	PUNCT
ejpam-1206	325	12	}	}	PUNCT
ejpam-1206	325	13	,	,	PUNCT
ejpam-1206	325	14	where	where	SCONJ
ejpam-1206	325	15	ψ	ψ	ADP
ejpam-1206	325	16	denotes	denote	VERB
ejpam-1206	325	17	the	the	DET
ejpam-1206	325	18	psi	psi	NOUN
ejpam-1206	325	19	function	function	NOUN
ejpam-1206	325	20	and	and	CCONJ
ejpam-1206	325	21	the	the	DET
ejpam-1206	325	22	first	first	ADJ
ejpam-1206	325	23	sum	sum	NOUN
ejpam-1206	325	24	is	be	AUX
ejpam-1206	325	25	interpreted	interpret	VERB
ejpam-1206	325	26	as	as	ADP
ejpam-1206	325	27	zero	zero	NUM
ejpam-1206	325	28	when	when	SCONJ
ejpam-1206	325	29	m	m	VERB
ejpam-1206	325	30	=	=	NOUN
ejpam-1206	325	31	0	0	X
ejpam-1206	325	32	.	.	PUNCT
ejpam-1206	326	1	then	then	ADV
ejpam-1206	326	2	,	,	PUNCT
ejpam-1206	326	3	some	some	DET
ejpam-1206	326	4	routine	routine	ADJ
ejpam-1206	326	5	algebra	algebra	NOUN
ejpam-1206	326	6	shows	show	VERB
ejpam-1206	326	7	that	that	SCONJ
ejpam-1206	326	8	the	the	DET
ejpam-1206	326	9	algebraic	algebraic	ADJ
ejpam-1206	326	10	expansions	expansion	NOUN
ejpam-1206	326	11	associated	associate	VERB
ejpam-1206	326	12	with	with	ADP
ejpam-1206	326	13	c6,2(x	c6,2(x	PROPN
ejpam-1206	326	14	;	;	PUNCT
ejpam-1206	326	15	~ν	~ν	NUM
ejpam-1206	326	16	)	)	PUNCT
ejpam-1206	326	17	and	and	CCONJ
ejpam-1206	326	18	s6,2(x	s6,2(x	PROPN
ejpam-1206	326	19	;	;	PUNCT
ejpam-1206	326	20	~ν	~ν	X
ejpam-1206	326	21	)	)	PUNCT
ejpam-1206	326	22	are	be	AUX
ejpam-1206	326	23	hc	hc	X
ejpam-1206	326	24	=	=	PROPN
ejpam-1206	326	25	π	π	NOUN
ejpam-1206	326	26	2x	2x	NUM
ejpam-1206	326	27	∞	∞	PROPN
ejpam-1206	326	28	∑	∑	PROPN
ejpam-1206	326	29	k=0	k=0	X
ejpam-1206	326	30	(	(	PUNCT
ejpam-1206	326	31	−)k(6k	−)k(6k	NOUN
ejpam-1206	326	32	)	)	PUNCT
ejpam-1206	326	33	!	!	PUNCT
ejpam-1206	327	1	(	(	PUNCT
ejpam-1206	327	2	k!)2	k!)2	PROPN
ejpam-1206	327	3	(	(	PUNCT
ejpam-1206	327	4	6	6	NUM
ejpam-1206	327	5	1	1	NUM
ejpam-1206	327	6	3	3	NUM
ejpam-1206	327	7	x)−6k	x)−6k	PROPN
ejpam-1206	327	8	,	,	PUNCT
ejpam-1206	327	9	(	(	PUNCT
ejpam-1206	327	10	39	39	NUM
ejpam-1206	327	11	)	)	PUNCT
ejpam-1206	327	12	hs	hs	NOUN
ejpam-1206	328	1	=	=	NOUN
ejpam-1206	328	2	1	1	NUM
ejpam-1206	328	3	x	x	SYM
ejpam-1206	328	4	∞	∞	NUM
ejpam-1206	328	5	∑	∑	PUNCT
ejpam-1206	328	6	k=0	k=0	X
ejpam-1206	328	7	(	(	PUNCT
ejpam-1206	328	8	−)k(6k	−)k(6k	NOUN
ejpam-1206	328	9	)	)	PUNCT
ejpam-1206	328	10	!	!	PUNCT
ejpam-1206	329	1	(	(	PUNCT
ejpam-1206	329	2	k!)2	k!)2	PROPN
ejpam-1206	329	3	(	(	PUNCT
ejpam-1206	329	4	6	6	NUM
ejpam-1206	329	5	1	1	NUM
ejpam-1206	329	6	3	3	NUM
ejpam-1206	329	7	x)−6k{log	x)−6k{log	X
ejpam-1206	329	8	(	(	PUNCT
ejpam-1206	329	9	6	6	NUM
ejpam-1206	329	10	1	1	NUM
ejpam-1206	329	11	3	3	NUM
ejpam-1206	329	12	x)+	x)+	NUM
ejpam-1206	329	13	1	1	NUM
ejpam-1206	329	14	3	3	NUM
ejpam-1206	329	15	ψ(k+	ψ(k+	NOUN
ejpam-1206	329	16	1)−ψ(6k+	1)−ψ(6k+	NUM
ejpam-1206	329	17	1	1	NUM
ejpam-1206	329	18	)	)	PUNCT
ejpam-1206	329	19	}	}	PUNCT
ejpam-1206	329	20	(	(	PUNCT
ejpam-1206	329	21	40	40	NUM
ejpam-1206	329	22	)	)	PUNCT
ejpam-1206	329	23	when	when	SCONJ
ejpam-1206	329	24	(	(	PUNCT
ejpam-1206	329	25	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	329	26	)	)	PUNCT
ejpam-1206	329	27	=	=	PRON
ejpam-1206	329	28	(	(	PUNCT
ejpam-1206	329	29	1,1	1,1	NUM
ejpam-1206	329	30	)	)	PUNCT
ejpam-1206	329	31	,	,	PUNCT
ejpam-1206	329	32	and	and	CCONJ
ejpam-1206	329	33	hc	hc	X
ejpam-1206	329	34	=	=	SYM
ejpam-1206	329	35	π	π	PROPN
ejpam-1206	329	36	12x7	12x7	NUM
ejpam-1206	329	37	∞	∞	NUM
ejpam-1206	329	38	∑	∑	PUNCT
ejpam-1206	329	39	k=0	k=0	PROPN
ejpam-1206	329	40	(	(	PUNCT
ejpam-1206	329	41	−)k(6k+	−)k(6k+	PROPN
ejpam-1206	329	42	6	6	NUM
ejpam-1206	329	43	)	)	PUNCT
ejpam-1206	329	44	!	!	PUNCT
ejpam-1206	330	1	k	k	X
ejpam-1206	330	2	!	!	PUNCT
ejpam-1206	331	1	(	(	PUNCT
ejpam-1206	331	2	k+	k+	NOUN
ejpam-1206	331	3	1	1	NUM
ejpam-1206	331	4	)	)	PUNCT
ejpam-1206	331	5	!	!	PUNCT
ejpam-1206	332	1	(	(	PUNCT
ejpam-1206	332	2	6	6	NUM
ejpam-1206	332	3	1	1	NUM
ejpam-1206	332	4	3	3	NUM
ejpam-1206	332	5	x)−6k	x)−6k	PROPN
ejpam-1206	332	6	,	,	PUNCT
ejpam-1206	332	7	(	(	PUNCT
ejpam-1206	332	8	41	41	NUM
ejpam-1206	332	9	)	)	PUNCT
ejpam-1206	332	10	hs	hs	NOUN
ejpam-1206	333	1	=	=	NOUN
ejpam-1206	333	2	1	1	NUM
ejpam-1206	333	3	x	x	SYM
ejpam-1206	333	4	+	+	NOUN
ejpam-1206	333	5	1	1	NUM
ejpam-1206	333	6	6x7	6x7	NUM
ejpam-1206	333	7	∞	∞	NUM
ejpam-1206	333	8	∑	∑	PUNCT
ejpam-1206	333	9	k=0	k=0	PROPN
ejpam-1206	333	10	(	(	PUNCT
ejpam-1206	333	11	−)k(6k+	−)k(6k+	PROPN
ejpam-1206	333	12	6	6	NUM
ejpam-1206	333	13	)	)	PUNCT
ejpam-1206	333	14	!	!	PUNCT
ejpam-1206	334	1	k	k	X
ejpam-1206	334	2	!	!	PUNCT
ejpam-1206	335	1	(	(	PUNCT
ejpam-1206	335	2	k+	k+	NOUN
ejpam-1206	335	3	1	1	NUM
ejpam-1206	335	4	)	)	PUNCT
ejpam-1206	335	5	!	!	PUNCT
ejpam-1206	336	1	(	(	PUNCT
ejpam-1206	336	2	6	6	NUM
ejpam-1206	336	3	1	1	NUM
ejpam-1206	336	4	3	3	NUM
ejpam-1206	336	5	x)−6k	x)−6k	PUNCT
ejpam-1206	336	6	{	{	PUNCT
ejpam-1206	336	7	log	log	NOUN
ejpam-1206	336	8	(	(	PUNCT
ejpam-1206	336	9	6	6	NUM
ejpam-1206	336	10	1	1	NUM
ejpam-1206	336	11	3	3	NUM
ejpam-1206	336	12	x)+	x)+	NUM
ejpam-1206	336	13	1	1	NUM
ejpam-1206	336	14	6	6	NUM
ejpam-1206	336	15	ψ(k+	ψ(k+	NOUN
ejpam-1206	336	16	1	1	NUM
ejpam-1206	336	17	)	)	PUNCT
ejpam-1206	336	18	+	+	CCONJ
ejpam-1206	336	19	1	1	NUM
ejpam-1206	336	20	6	6	NUM
ejpam-1206	336	21	ψ(k+	ψ(k+	NOUN
ejpam-1206	336	22	2)−ψ(6k+	2)−ψ(6k+	NUM
ejpam-1206	336	23	7	7	NUM
ejpam-1206	336	24	)	)	PUNCT
ejpam-1206	336	25	}	}	PUNCT
ejpam-1206	336	26	(	(	PUNCT
ejpam-1206	336	27	42	42	X
ejpam-1206	336	28	)	)	PUNCT
ejpam-1206	336	29	r.	r.	PROPN
ejpam-1206	336	30	paris	paris	PROPN
ejpam-1206	336	31	/	/	SYM
ejpam-1206	336	32	eur	eur	PROPN
ejpam-1206	336	33	.	.	PUNCT
ejpam-1206	337	1	j.	j.	PROPN
ejpam-1206	337	2	pure	pure	PROPN
ejpam-1206	337	3	appl	appl	PROPN
ejpam-1206	337	4	.	.	PROPN
ejpam-1206	337	5	math	math	PROPN
ejpam-1206	337	6	,	,	PUNCT
ejpam-1206	337	7	5	5	NUM
ejpam-1206	337	8	(	(	PUNCT
ejpam-1206	337	9	2012	2012	NUM
ejpam-1206	337	10	)	)	PUNCT
ejpam-1206	337	11	,	,	PUNCT
ejpam-1206	337	12	260	260	NUM
ejpam-1206	337	13	-	-	SYM
ejpam-1206	337	14	281	281	NUM
ejpam-1206	337	15	276	276	NUM
ejpam-1206	337	16	2	2	NUM
ejpam-1206	337	17	4	4	NUM
ejpam-1206	337	18	6	6	NUM
ejpam-1206	337	19	8	8	NUM
ejpam-1206	337	20	10	10	NUM
ejpam-1206	337	21	12	12	NUM
ejpam-1206	337	22	14	14	NUM
ejpam-1206	337	23	-10	-10	PUNCT
ejpam-1206	337	24	-5	-5	PUNCT
ejpam-1206	337	25	0	0	NUM
ejpam-1206	337	26	5	5	NUM
ejpam-1206	337	27	10	10	NUM
ejpam-1206	337	28	(	(	PUNCT
ejpam-1206	337	29	a	a	NOUN
ejpam-1206	337	30	)	)	PUNCT
ejpam-1206	337	31	ν	ν	NOUN
ejpam-1206	337	32	=	=	SYM
ejpam-1206	337	33	0.50	0.50	NUM
ejpam-1206	337	34	2	2	NUM
ejpam-1206	337	35	4	4	NUM
ejpam-1206	337	36	6	6	NUM
ejpam-1206	337	37	8	8	NUM
ejpam-1206	337	38	10	10	NUM
ejpam-1206	337	39	12	12	NUM
ejpam-1206	337	40	14	14	NUM
ejpam-1206	337	41	-10	-10	PUNCT
ejpam-1206	337	42	-5	-5	PUNCT
ejpam-1206	337	43	0	0	NUM
ejpam-1206	338	1	5	5	NUM
ejpam-1206	338	2	10	10	NUM
ejpam-1206	338	3	(	(	PUNCT
ejpam-1206	338	4	b	b	NOUN
ejpam-1206	338	5	)	)	PUNCT
ejpam-1206	338	6	ν	ν	NOUN
ejpam-1206	338	7	=	=	SYM
ejpam-1206	338	8	0.85	0.85	NUM
ejpam-1206	338	9	2	2	NUM
ejpam-1206	338	10	4	4	NUM
ejpam-1206	338	11	6	6	NUM
ejpam-1206	338	12	8	8	NUM
ejpam-1206	338	13	10	10	NUM
ejpam-1206	338	14	12	12	NUM
ejpam-1206	338	15	14	14	NUM
ejpam-1206	338	16	-10	-10	PUNCT
ejpam-1206	338	17	-5	-5	PUNCT
ejpam-1206	338	18	0	0	NUM
ejpam-1206	338	19	5	5	NUM
ejpam-1206	338	20	10	10	NUM
ejpam-1206	338	21	a	a	DET
ejpam-1206	338	22	(	(	PUNCT
ejpam-1206	338	23	c	c	NOUN
ejpam-1206	338	24	)	)	PUNCT
ejpam-1206	338	25	ν	ν	NOUN
ejpam-1206	338	26	=	=	NOUN
ejpam-1206	338	27	0.999	0.999	NUM
ejpam-1206	338	28	2	2	NUM
ejpam-1206	338	29	4	4	NUM
ejpam-1206	338	30	6	6	NUM
ejpam-1206	338	31	8	8	NUM
ejpam-1206	338	32	10	10	NUM
ejpam-1206	338	33	12	12	NUM
ejpam-1206	338	34	14	14	NUM
ejpam-1206	338	35	-10	-10	PUNCT
ejpam-1206	338	36	-5	-5	PUNCT
ejpam-1206	338	37	0	0	NUM
ejpam-1206	338	38	5	5	NUM
ejpam-1206	338	39	10	10	NUM
ejpam-1206	338	40	(	(	PUNCT
ejpam-1206	338	41	d	d	NOUN
ejpam-1206	338	42	)	)	PUNCT
ejpam-1206	338	43	ν	ν	NOUN
ejpam-1206	338	44	=	=	SYM
ejpam-1206	338	45	1	1	NUM
ejpam-1206	338	46	figure	figure	NOUN
ejpam-1206	338	47	5	5	NUM
ejpam-1206	338	48	:	:	PUNCT
ejpam-1206	338	49	the	the	DET
ejpam-1206	338	50	distribution	distribution	NOUN
ejpam-1206	338	51	of	of	ADP
ejpam-1206	338	52	the	the	DET
ejpam-1206	338	53	zeros	zero	NOUN
ejpam-1206	338	54	of	of	ADP
ejpam-1206	338	55	cn,1(x	cn,1(x	NOUN
ejpam-1206	338	56	;	;	PUNCT
ejpam-1206	338	57	ν	ν	X
ejpam-1206	338	58	)	)	PUNCT
ejpam-1206	338	59	in	in	ADP
ejpam-1206	338	60	the	the	DET
ejpam-1206	338	61	right	right	ADJ
ejpam-1206	338	62	-	-	PUNCT
ejpam-1206	338	63	half	half	NOUN
ejpam-1206	338	64	plane	plane	NOUN
ejpam-1206	338	65	when	when	SCONJ
ejpam-1206	338	66	n	n	X
ejpam-1206	338	67	=	=	SYM
ejpam-1206	338	68	3	3	NUM
ejpam-1206	338	69	and	and	CCONJ
ejpam-1206	338	70	ν	ν	X
ejpam-1206	338	71	=	=	PUNCT
ejpam-1206	339	1	[	[	X
ejpam-1206	339	2	0.50,0.85,0.999,1	0.50,0.85,0.999,1	X
ejpam-1206	339	3	]	]	PUNCT
ejpam-1206	339	4	.	.	PUNCT
ejpam-1206	340	1	in	in	ADP
ejpam-1206	340	2	(	(	PUNCT
ejpam-1206	340	3	c	c	X
ejpam-1206	340	4	)	)	PUNCT
ejpam-1206	340	5	the	the	DET
ejpam-1206	340	6	zero	zero	NUM
ejpam-1206	340	7	labelled	label	VERB
ejpam-1206	340	8	a	a	DET
ejpam-1206	340	9	moves	move	NOUN
ejpam-1206	340	10	off	off	ADP
ejpam-1206	340	11	to	to	PART
ejpam-1206	340	12	infinity	infinity	NOUN
ejpam-1206	340	13	as	as	ADP
ejpam-1206	340	14	ν	ν	NOUN
ejpam-1206	340	15	→	→	SYM
ejpam-1206	340	16	1	1	NUM
ejpam-1206	340	17	.	.	PUNCT
ejpam-1206	341	1	the	the	DET
ejpam-1206	341	2	rays	ray	NOUN
ejpam-1206	341	3	arg	arg	VERB
ejpam-1206	341	4	x	x	PUNCT
ejpam-1206	342	1	=	=	PUNCT
ejpam-1206	342	2	±π/6	±π/6	PROPN
ejpam-1206	342	3	are	be	AUX
ejpam-1206	342	4	the	the	DET
ejpam-1206	342	5	anti	anti	ADJ
ejpam-1206	342	6	-	-	ADJ
ejpam-1206	342	7	stokes	stokes	ADJ
ejpam-1206	342	8	lines	line	NOUN
ejpam-1206	342	9	.	.	PUNCT
ejpam-1206	343	1	when	when	SCONJ
ejpam-1206	343	2	(	(	PUNCT
ejpam-1206	343	3	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	343	4	)	)	PUNCT
ejpam-1206	343	5	=	=	PUNCT
ejpam-1206	343	6	(	(	PUNCT
ejpam-1206	343	7	1,7	1,7	NUM
ejpam-1206	343	8	)	)	PUNCT
ejpam-1206	343	9	.	.	PUNCT
ejpam-1206	344	1	the	the	DET
ejpam-1206	344	2	leading	lead	VERB
ejpam-1206	344	3	terms	term	NOUN
ejpam-1206	344	4	in	in	ADP
ejpam-1206	344	5	these	these	DET
ejpam-1206	344	6	expansions	expansion	NOUN
ejpam-1206	344	7	can	can	AUX
ejpam-1206	344	8	then	then	ADV
ejpam-1206	344	9	be	be	AUX
ejpam-1206	344	10	used	use	VERB
ejpam-1206	344	11	in	in	ADP
ejpam-1206	344	12	(	(	PUNCT
ejpam-1206	344	13	38	38	NUM
ejpam-1206	344	14	)	)	PUNCT
ejpam-1206	344	15	to	to	PART
ejpam-1206	344	16	estimate	estimate	VERB
ejpam-1206	344	17	the	the	DET
ejpam-1206	344	18	corresponding	correspond	VERB
ejpam-1206	344	19	zeros	zero	NOUN
ejpam-1206	344	20	.	.	PUNCT
ejpam-1206	345	1	we	we	PRON
ejpam-1206	345	2	show	show	VERB
ejpam-1206	345	3	some	some	DET
ejpam-1206	345	4	results	result	NOUN
ejpam-1206	345	5	for	for	ADP
ejpam-1206	345	6	the	the	DET
ejpam-1206	345	7	complex	complex	ADJ
ejpam-1206	345	8	zeros	zero	NOUN
ejpam-1206	345	9	when	when	SCONJ
ejpam-1206	345	10	n	n	X
ejpam-1206	345	11	=	=	SYM
ejpam-1206	345	12	4	4	NUM
ejpam-1206	345	13	and	and	CCONJ
ejpam-1206	345	14	n=	n=	ADJ
ejpam-1206	345	15	6	6	NUM
ejpam-1206	345	16	with	with	ADP
ejpam-1206	345	17	p	p	NOUN
ejpam-1206	345	18	=	=	SYM
ejpam-1206	345	19	2	2	NUM
ejpam-1206	345	20	in	in	ADP
ejpam-1206	345	21	table	table	NOUN
ejpam-1206	345	22	5	5	NUM
ejpam-1206	345	23	.	.	PUNCT
ejpam-1206	346	1	we	we	PRON
ejpam-1206	346	2	now	now	ADV
ejpam-1206	346	3	consider	consider	VERB
ejpam-1206	346	4	the	the	DET
ejpam-1206	346	5	conditions	condition	NOUN
ejpam-1206	346	6	for	for	ADP
ejpam-1206	346	7	cn	cn	PROPN
ejpam-1206	346	8	,	,	PUNCT
ejpam-1206	346	9	p(x	p(x	PROPN
ejpam-1206	346	10	;	;	PUNCT
ejpam-1206	346	11	~ν	~ν	NUM
ejpam-1206	346	12	)	)	PUNCT
ejpam-1206	346	13	and	and	CCONJ
ejpam-1206	346	14	sn	sn	PROPN
ejpam-1206	346	15	,	,	PUNCT
ejpam-1206	346	16	p(x	p(x	PROPN
ejpam-1206	346	17	;	;	PUNCT
ejpam-1206	346	18	~ν	~ν	NUM
ejpam-1206	346	19	)	)	PUNCT
ejpam-1206	346	20	to	to	PART
ejpam-1206	346	21	have	have	VERB
ejpam-1206	346	22	all	all	DET
ejpam-1206	346	23	real	real	ADJ
ejpam-1206	346	24	zeros∗∗.	zeros∗∗.	PUNCT
ejpam-1206	346	25	from	from	ADP
ejpam-1206	346	26	(	(	PUNCT
ejpam-1206	346	27	25	25	NUM
ejpam-1206	346	28	)	)	PUNCT
ejpam-1206	346	29	,	,	PUNCT
ejpam-1206	346	30	such	such	ADJ
ejpam-1206	346	31	zeros	zero	NOUN
ejpam-1206	346	32	can	can	AUX
ejpam-1206	346	33	only	only	ADV
ejpam-1206	346	34	occur	occur	VERB
ejpam-1206	346	35	when	when	SCONJ
ejpam-1206	346	36	1	1	NUM
ejpam-1206	346	37	2	2	NUM
ejpam-1206	346	38	<	<	X
ejpam-1206	346	39	κ	κ	X
ejpam-1206	346	40	<	<	X
ejpam-1206	346	41	1	1	NUM
ejpam-1206	346	42	(	(	PUNCT
ejpam-1206	346	43	that	that	PRON
ejpam-1206	346	44	is	is	ADV
ejpam-1206	346	45	,	,	PUNCT
ejpam-1206	346	46	when	when	SCONJ
ejpam-1206	346	47	p	p	X
ejpam-1206	346	48	/	/	SYM
ejpam-1206	346	49	n	n	NOUN
ejpam-1206	346	50	<	<	X
ejpam-1206	346	51	1	1	NUM
ejpam-1206	346	52	2	2	NUM
ejpam-1206	346	53	)	)	PUNCT
ejpam-1206	346	54	,	,	PUNCT
ejpam-1206	346	55	since	since	SCONJ
ejpam-1206	346	56	when	when	SCONJ
ejpam-1206	346	57	κ	κ	PROPN
ejpam-1206	346	58	<	<	X
ejpam-1206	346	59	1	1	NUM
ejpam-1206	346	60	2	2	NUM
ejpam-1206	346	61	the	the	DET
ejpam-1206	346	62	expansions	expansion	NOUN
ejpam-1206	346	63	in	in	ADP
ejpam-1206	346	64	(	(	PUNCT
ejpam-1206	346	65	26	26	NUM
ejpam-1206	346	66	)	)	PUNCT
ejpam-1206	346	67	on	on	ADP
ejpam-1206	346	68	the	the	DET
ejpam-1206	346	69	real	real	ADJ
ejpam-1206	346	70	axis	axis	NOUN
ejpam-1206	346	71	are	be	AUX
ejpam-1206	346	72	purely	purely	ADV
ejpam-1206	346	73	algebraic	algebraic	ADJ
ejpam-1206	346	74	with	with	ADP
ejpam-1206	346	75	no	no	DET
ejpam-1206	346	76	exponentially	exponentially	ADV
ejpam-1206	346	77	small	small	ADJ
ejpam-1206	346	78	contribution	contribution	NOUN
ejpam-1206	346	79	.	.	PUNCT
ejpam-1206	347	1	the	the	DET
ejpam-1206	347	2	special	special	ADJ
ejpam-1206	347	3	case	case	NOUN
ejpam-1206	347	4	κ=	κ=	VERB
ejpam-1206	347	5	1	1	NUM
ejpam-1206	347	6	2	2	NUM
ejpam-1206	347	7	,	,	PUNCT
ejpam-1206	347	8	where	where	SCONJ
ejpam-1206	347	9	there	there	PRON
ejpam-1206	347	10	can	can	AUX
ejpam-1206	347	11	be	be	AUX
ejpam-1206	347	12	finitely	finitely	ADV
ejpam-1206	347	13	many	many	ADJ
ejpam-1206	347	14	real	real	ADJ
ejpam-1206	347	15	zeros	zero	NOUN
ejpam-1206	347	16	,	,	PUNCT
ejpam-1206	347	17	is	be	AUX
ejpam-1206	347	18	discussed	discuss	VERB
ejpam-1206	347	19	below	below	ADV
ejpam-1206	347	20	.	.	PUNCT
ejpam-1206	348	1	when	when	SCONJ
ejpam-1206	348	2	κ	κ	X
ejpam-1206	348	3	>	>	X
ejpam-1206	348	4	1	1	NUM
ejpam-1206	348	5	2	2	NUM
ejpam-1206	348	6	,	,	PUNCT
ejpam-1206	348	7	an	an	DET
ejpam-1206	348	8	infinite	infinite	ADJ
ejpam-1206	348	9	sequence	sequence	NOUN
ejpam-1206	348	10	of	of	ADP
ejpam-1206	348	11	real	real	ADJ
ejpam-1206	348	12	zeros	zero	NOUN
ejpam-1206	348	13	will	will	AUX
ejpam-1206	348	14	arise	arise	VERB
ejpam-1206	348	15	when	when	SCONJ
ejpam-1206	348	16	the	the	DET
ejpam-1206	348	17	expansions	expansion	NOUN
ejpam-1206	348	18	hc	hc	VERB
ejpam-1206	348	19	,	,	PUNCT
ejpam-1206	348	20	s	s	VERB
ejpam-1206	348	21	vanish	vanish	NOUN
ejpam-1206	348	22	.	.	PUNCT
ejpam-1206	349	1	from	from	ADP
ejpam-1206	349	2	(	(	PUNCT
ejpam-1206	349	3	22	22	NUM
ejpam-1206	349	4	)	)	PUNCT
ejpam-1206	349	5	and	and	CCONJ
ejpam-1206	349	6	(	(	PUNCT
ejpam-1206	349	7	23	23	NUM
ejpam-1206	349	8	)	)	PUNCT
ejpam-1206	349	9	,	,	PUNCT
ejpam-1206	349	10	this	this	PRON
ejpam-1206	349	11	will	will	AUX
ejpam-1206	349	12	only	only	ADV
ejpam-1206	349	13	occur	occur	VERB
ejpam-1206	349	14	when	when	SCONJ
ejpam-1206	349	15	n	n	PRON
ejpam-1206	349	16	is	be	AUX
ejpam-1206	349	17	even	even	ADV
ejpam-1206	349	18	and	and	CCONJ
ejpam-1206	349	19	the	the	DET
ejpam-1206	349	20	νr	νr	NOUN
ejpam-1206	349	21	are	be	AUX
ejpam-1206	349	22	distinct	distinct	ADJ
ejpam-1206	349	23	odd	odd	ADJ
ejpam-1206	349	24	(	(	PUNCT
ejpam-1206	349	25	resp	resp	NOUN
ejpam-1206	349	26	.	.	PUNCT
ejpam-1206	350	1	even	even	ADV
ejpam-1206	350	2	)	)	PUNCT
ejpam-1206	350	3	integers	integer	NOUN
ejpam-1206	350	4	which	which	PRON
ejpam-1206	350	5	do	do	AUX
ejpam-1206	350	6	not	not	PART
ejpam-1206	350	7	differ	differ	VERB
ejpam-1206	350	8	by	by	ADP
ejpam-1206	350	9	integer	integer	NOUN
ejpam-1206	350	10	multiples	multiple	NOUN
ejpam-1206	350	11	of	of	ADP
ejpam-1206	350	12	n	n	PROPN
ejpam-1206	350	13	(	(	PUNCT
ejpam-1206	350	14	condition	condition	NOUN
ejpam-1206	350	15	a	a	X
ejpam-1206	350	16	)	)	PUNCT
ejpam-1206	350	17	.	.	PUNCT
ejpam-1206	351	1	from	from	ADP
ejpam-1206	351	2	(	(	PUNCT
ejpam-1206	351	3	24	24	NUM
ejpam-1206	351	4	)	)	PUNCT
ejpam-1206	351	5	and	and	CCONJ
ejpam-1206	351	6	(	(	PUNCT
ejpam-1206	351	7	25	25	NUM
ejpam-1206	351	8	)	)	PUNCT
ejpam-1206	351	9	,	,	PUNCT
ejpam-1206	351	10	we	we	PRON
ejpam-1206	351	11	then	then	ADV
ejpam-1206	351	12	find	find	VERB
ejpam-1206	351	13	for	for	ADP
ejpam-1206	351	14	n	n	PRON
ejpam-1206	351	15	even	even	ADJ
ejpam-1206	351	16	and	and	CCONJ
ejpam-1206	351	17	the	the	DET
ejpam-1206	351	18	parameters	parameter	NOUN
ejpam-1206	351	19	νr	νr	AUX
ejpam-1206	351	20	satisfying	satisfy	VERB
ejpam-1206	351	21	the	the	DET
ejpam-1206	351	22	above	above	ADJ
ejpam-1206	351	23	condition	condition	NOUN
ejpam-1206	351	24	that	that	SCONJ
ejpam-1206	352	1	cn	cn	PROPN
ejpam-1206	352	2	,	,	PUNCT
ejpam-1206	352	3	p	p	PROPN
ejpam-1206	352	4	sn	sn	PROPN
ejpam-1206	352	5	,	,	PUNCT
ejpam-1206	352	6	p	p	X
ejpam-1206	352	7	(	(	PUNCT
ejpam-1206	352	8	x	x	X
ejpam-1206	352	9	;	;	PUNCT
ejpam-1206	352	10	~ν)∼	~ν)∼	DET
ejpam-1206	352	11	κ−	κ−	PROPN
ejpam-1206	352	12	1	1	NUM
ejpam-1206	352	13	2	2	NUM
ejpam-1206	352	14	−ϑ	−ϑ	NOUN
ejpam-1206	352	15	�	�	PROPN
ejpam-1206	352	16	2π	2π	PROPN
ejpam-1206	352	17	n	n	PRON
ejpam-1206	352	18	�	�	NOUN
ejpam-1206	352	19	p/2	p/2	NOUN
ejpam-1206	352	20	x	x	SYM
ejpam-1206	352	21	ϑ	ϑ	PRON
ejpam-1206	352	22	exp	exp	DET
ejpam-1206	352	23	�	�	PROPN
ejpam-1206	352	24	x	x	PUNCT
ejpam-1206	352	25	cos	cos	PROPN
ejpam-1206	352	26	π	π	PROPN
ejpam-1206	352	27	2κ	2κ	PROPN
ejpam-1206	352	28	�	�	PROPN
ejpam-1206	352	29	∞	∞	PROPN
ejpam-1206	352	30	∑	∑	PUNCT
ejpam-1206	352	31	j=0	j=0	PROPN
ejpam-1206	352	32	c	c	PROPN
ejpam-1206	352	33	jx	jx	PROPN
ejpam-1206	352	34	−	−	PROPN
ejpam-1206	353	1	j	j	PROPN
ejpam-1206	353	2	cos	cos	PROPN
ejpam-1206	353	3	sin	sin	PROPN
ejpam-1206	353	4	�	�	PROPN
ejpam-1206	353	5	x	x	PUNCT
ejpam-1206	353	6	sin	sin	NOUN
ejpam-1206	353	7	π	π	X
ejpam-1206	353	8	2κ	2κ	NOUN
ejpam-1206	354	1	+	+	CCONJ
ejpam-1206	354	2	π	π	PROPN
ejpam-1206	354	3	2κ	2κ	NOUN
ejpam-1206	354	4	(	(	PUNCT
ejpam-1206	354	5	ϑ−	ϑ−	PROPN
ejpam-1206	354	6	j	j	NOUN
ejpam-1206	354	7	)	)	PUNCT
ejpam-1206	354	8	�	�	PROPN
ejpam-1206	354	9	as	as	ADP
ejpam-1206	354	10	|x	|x	NOUN
ejpam-1206	354	11	|	|	ADV
ejpam-1206	354	12	→	→	SYM
ejpam-1206	354	13	∞	∞	NUM
ejpam-1206	354	14	in	in	ADP
ejpam-1206	354	15	the	the	DET
ejpam-1206	354	16	sector	sector	NOUN
ejpam-1206	354	17	|arg	|arg	NOUN
ejpam-1206	354	18	x	x	PUNCT
ejpam-1206	354	19	|	|	ADV
ejpam-1206	354	20	<	<	X
ejpam-1206	354	21	π(1	π(1	X
ejpam-1206	354	22	2	2	NUM
ejpam-1206	354	23	−	−	NOUN
ejpam-1206	354	24	p	p	NOUN
ejpam-1206	354	25	/	/	SYM
ejpam-1206	354	26	n	n	CCONJ
ejpam-1206	354	27	)	)	PUNCT
ejpam-1206	354	28	.	.	PUNCT
ejpam-1206	355	1	if	if	SCONJ
ejpam-1206	355	2	some	some	PRON
ejpam-1206	355	3	of	of	ADP
ejpam-1206	355	4	the	the	DET
ejpam-1206	355	5	integer	integer	NOUN
ejpam-1206	355	6	νr	νr	VERB
ejpam-1206	355	7	either	either	CCONJ
ejpam-1206	355	8	coincide	coincide	VERB
ejpam-1206	355	9	or	or	CCONJ
ejpam-1206	355	10	differ	differ	VERB
ejpam-1206	355	11	by	by	ADP
ejpam-1206	355	12	an	an	DET
ejpam-1206	355	13	integer	integer	NOUN
ejpam-1206	355	14	multiple	multiple	NOUN
ejpam-1206	355	15	of	of	ADP
ejpam-1206	355	16	n	n	CCONJ
ejpam-1206	355	17	,	,	PUNCT
ejpam-1206	355	18	then	then	ADV
ejpam-1206	355	19	the	the	DET
ejpam-1206	355	20	algebraic	algebraic	ADJ
ejpam-1206	355	21	expansion	expansion	NOUN
ejpam-1206	355	22	will	will	AUX
ejpam-1206	355	23	not	not	PART
ejpam-1206	355	24	vanish	vanish	VERB
ejpam-1206	355	25	—	—	PUNCT
ejpam-1206	355	26	compare	compare	VERB
ejpam-1206	355	27	the	the	DET
ejpam-1206	355	28	expansions	expansion	NOUN
ejpam-1206	355	29	in	in	ADP
ejpam-1206	355	30	(	(	PUNCT
ejpam-1206	355	31	39	39	NUM
ejpam-1206	355	32	)	)	PUNCT
ejpam-1206	355	33	–	–	PUNCT
ejpam-1206	355	34	(	(	PUNCT
ejpam-1206	355	35	42	42	NUM
ejpam-1206	355	36	)	)	PUNCT
ejpam-1206	355	37	—	—	PUNCT
ejpam-1206	355	38	and	and	CCONJ
ejpam-1206	355	39	complex	complex	ADJ
ejpam-1206	355	40	zeros	zero	NOUN
ejpam-1206	355	41	will	will	AUX
ejpam-1206	355	42	arise	arise	VERB
ejpam-1206	355	43	.	.	PUNCT
ejpam-1206	356	1	in	in	ADP
ejpam-1206	356	2	this	this	DET
ejpam-1206	356	3	latter	latter	ADJ
ejpam-1206	356	4	case	case	NOUN
ejpam-1206	356	5	,	,	PUNCT
ejpam-1206	356	6	it	it	PRON
ejpam-1206	356	7	is	be	AUX
ejpam-1206	356	8	still	still	ADV
ejpam-1206	356	9	∗∗this	∗∗this	PRON
ejpam-1206	356	10	is	be	AUX
ejpam-1206	356	11	a	a	DET
ejpam-1206	356	12	conjecture	conjecture	NOUN
ejpam-1206	356	13	as	as	SCONJ
ejpam-1206	356	14	we	we	PRON
ejpam-1206	356	15	have	have	VERB
ejpam-1206	356	16	no	no	DET
ejpam-1206	356	17	proof	proof	NOUN
ejpam-1206	356	18	that	that	SCONJ
ejpam-1206	356	19	integrals	integral	VERB
ejpam-1206	356	20	with	with	ADP
ejpam-1206	356	21	p	p	PRON
ejpam-1206	356	22	≥	≥	NUM
ejpam-1206	356	23	2	2	NUM
ejpam-1206	356	24	can	can	AUX
ejpam-1206	356	25	have	have	AUX
ejpam-1206	356	26	all	all	DET
ejpam-1206	356	27	real	real	ADJ
ejpam-1206	356	28	zeros	zero	NOUN
ejpam-1206	356	29	.	.	PUNCT
ejpam-1206	357	1	r.	r.	PROPN
ejpam-1206	357	2	paris	paris	PROPN
ejpam-1206	357	3	/	/	SYM
ejpam-1206	357	4	eur	eur	PROPN
ejpam-1206	357	5	.	.	PUNCT
ejpam-1206	358	1	j.	j.	PROPN
ejpam-1206	358	2	pure	pure	PROPN
ejpam-1206	358	3	appl	appl	PROPN
ejpam-1206	358	4	.	.	PROPN
ejpam-1206	358	5	math	math	PROPN
ejpam-1206	358	6	,	,	PUNCT
ejpam-1206	358	7	5	5	NUM
ejpam-1206	358	8	(	(	PUNCT
ejpam-1206	358	9	2012	2012	NUM
ejpam-1206	358	10	)	)	PUNCT
ejpam-1206	358	11	,	,	PUNCT
ejpam-1206	358	12	260	260	NUM
ejpam-1206	358	13	-	-	SYM
ejpam-1206	358	14	281	281	NUM
ejpam-1206	358	15	277	277	NUM
ejpam-1206	358	16	table	table	NOUN
ejpam-1206	358	17	5	5	NUM
ejpam-1206	358	18	:	:	PUNCT
ejpam-1206	358	19	the	the	DET
ejpam-1206	358	20	complex	complex	ADJ
ejpam-1206	358	21	zeros	zero	NOUN
ejpam-1206	358	22	xk	xk	PROPN
ejpam-1206	358	23	in	in	ADP
ejpam-1206	358	24	the	the	DET
ejpam-1206	358	25	right	right	ADJ
ejpam-1206	358	26	-	-	PUNCT
ejpam-1206	358	27	half	half	NOUN
ejpam-1206	358	28	plane	plane	NOUN
ejpam-1206	358	29	when	when	SCONJ
ejpam-1206	358	30	p	p	NOUN
ejpam-1206	358	31	=	=	NOUN
ejpam-1206	358	32	2	2	NUM
ejpam-1206	358	33	for	for	ADP
ejpam-1206	358	34	different	different	ADJ
ejpam-1206	358	35	n	n	NOUN
ejpam-1206	358	36	and	and	CCONJ
ejpam-1206	358	37	~ν	~ν	PROPN
ejpam-1206	358	38	.	.	PUNCT
ejpam-1206	359	1	s4,2(x	s4,2(x	PROPN
ejpam-1206	359	2	;	;	PUNCT
ejpam-1206	359	3	~ν	~ν	NUM
ejpam-1206	359	4	)	)	PUNCT
ejpam-1206	359	5	,	,	PUNCT
ejpam-1206	359	6	(	(	PUNCT
ejpam-1206	359	7	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	359	8	)	)	PUNCT
ejpam-1206	359	9	=	=	PRON
ejpam-1206	360	1	(	(	PUNCT
ejpam-1206	360	2	1	1	NUM
ejpam-1206	360	3	2	2	NUM
ejpam-1206	360	4	,	,	PUNCT
ejpam-1206	360	5	3	3	NUM
ejpam-1206	360	6	2	2	NUM
ejpam-1206	360	7	)	)	PUNCT
ejpam-1206	360	8	c6,2(x	c6,2(x	PROPN
ejpam-1206	360	9	;	;	PUNCT
ejpam-1206	360	10	~ν	~ν	NUM
ejpam-1206	360	11	)	)	PUNCT
ejpam-1206	360	12	,	,	PUNCT
ejpam-1206	360	13	(	(	PUNCT
ejpam-1206	360	14	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	360	15	)	)	PUNCT
ejpam-1206	360	16	=	=	PRON
ejpam-1206	361	1	(	(	PUNCT
ejpam-1206	361	2	1	1	NUM
ejpam-1206	361	3	2	2	NUM
ejpam-1206	361	4	,	,	PUNCT
ejpam-1206	361	5	3	3	NUM
ejpam-1206	361	6	2	2	NUM
ejpam-1206	361	7	)	)	PUNCT
ejpam-1206	361	8	k	k	PROPN
ejpam-1206	361	9	xk	xk	PROPN
ejpam-1206	361	10	asymptotic	asymptotic	PROPN
ejpam-1206	361	11	xk	xk	PROPN
ejpam-1206	361	12	xk	xk	PROPN
ejpam-1206	361	13	asymptotic	asymptotic	PROPN
ejpam-1206	361	14	xk	xk	PROPN
ejpam-1206	361	15	0	0	NUM
ejpam-1206	361	16	2.2338±	2.2338±	NUM
ejpam-1206	361	17	2.6142i	2.6142i	NOUN
ejpam-1206	361	18	2.2188±	2.2188±	NUM
ejpam-1206	361	19	2.6008i	2.6008i	NUM
ejpam-1206	361	20	2.7381±	2.7381±	NUM
ejpam-1206	361	21	2.5479i	2.5479i	NOUN
ejpam-1206	361	22	2.6624±	2.6624±	NUM
ejpam-1206	362	1	2.5189i	2.5189i	NUM
ejpam-1206	362	2	1	1	NUM
ejpam-1206	362	3	3.3260±	3.3260±	NUM
ejpam-1206	362	4	3.6474i	3.6474i	NUM
ejpam-1206	362	5	3.3209±	3.3209±	NUM
ejpam-1206	362	6	3.6428i	3.6428i	NOUN
ejpam-1206	362	7	5.1859±	5.1859±	NUM
ejpam-1206	363	1	3.8429i	3.8429i	NUM
ejpam-1206	363	2	5.1620±	5.1620±	NUM
ejpam-1206	363	3	3.8322i	3.8322i	NUM
ejpam-1206	363	4	2	2	NUM
ejpam-1206	363	5	4.1507±	4.1507±	NUM
ejpam-1206	363	6	4.4378i	4.4378i	NUM
ejpam-1206	363	7	4.1480±	4.1480±	NUM
ejpam-1206	364	1	4.4354i	4.4354i	NOUN
ejpam-1206	364	2	7.1864±	7.1864±	NUM
ejpam-1206	364	3	4.9344i	4.9344i	NUM
ejpam-1206	365	1	7.1735±	7.1735±	NUM
ejpam-1206	365	2	4.9282i	4.9282i	NUM
ejpam-1206	365	3	3	3	NUM
ejpam-1206	365	4	4.8405±	4.8405±	NUM
ejpam-1206	366	1	5.1042i	5.1042i	PROPN
ejpam-1206	366	2	4.8388±	4.8388±	PROPN
ejpam-1206	366	3	5.1026i	5.1026i	NUM
ejpam-1206	366	4	8.9491±	8.9491±	NUM
ejpam-1206	366	5	5.9093i	5.9093i	NUM
ejpam-1206	366	6	8.9406±	8.9406±	NUM
ejpam-1206	366	7	5.9051i	5.9051i	NOUN
ejpam-1206	366	8	4	4	NUM
ejpam-1206	366	9	5.4454±	5.4454±	NUM
ejpam-1206	366	10	5.6916i	5.6916i	NUM
ejpam-1206	366	11	5.4442±	5.4442±	NUM
ejpam-1206	366	12	5.6905i	5.6905i	NOUN
ejpam-1206	366	13	10.5570±	10.5570±	NUM
ejpam-1206	366	14	6.8058i	6.8058i	NOUN
ejpam-1206	366	15	10.5509±	10.5509±	NUM
ejpam-1206	366	16	6.8027i	6.8027i	NUM
ejpam-1206	366	17	5	5	NUM
ejpam-1206	366	18	5.9905±	5.9905±	NUM
ejpam-1206	366	19	6.2230i	6.2230i	NUM
ejpam-1206	366	20	5.9896±	5.9896±	NUM
ejpam-1206	366	21	6.2221i	6.2221i	NUM
ejpam-1206	366	22	12.0532±	12.0532±	NUM
ejpam-1206	366	23	7.6444i	7.6444i	NUM
ejpam-1206	366	24	12.0484±	12.0484±	NUM
ejpam-1206	366	25	7.6419i	7.6419i	PROPN
ejpam-1206	366	26	c6,2(x	c6,2(x	PROPN
ejpam-1206	366	27	;	;	PUNCT
ejpam-1206	366	28	~ν	~ν	NUM
ejpam-1206	366	29	)	)	PUNCT
ejpam-1206	366	30	,	,	PUNCT
ejpam-1206	366	31	(	(	PUNCT
ejpam-1206	366	32	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	366	33	)	)	PUNCT
ejpam-1206	366	34	=	=	PRON
ejpam-1206	366	35	(	(	PUNCT
ejpam-1206	366	36	1,1	1,1	NUM
ejpam-1206	366	37	)	)	PUNCT
ejpam-1206	366	38	s6,2(x	s6,2(x	PROPN
ejpam-1206	366	39	;	;	PUNCT
ejpam-1206	366	40	~ν	~ν	NUM
ejpam-1206	366	41	)	)	PUNCT
ejpam-1206	366	42	,	,	PUNCT
ejpam-1206	366	43	(	(	PUNCT
ejpam-1206	366	44	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	366	45	)	)	PUNCT
ejpam-1206	366	46	=	=	PRON
ejpam-1206	366	47	(	(	PUNCT
ejpam-1206	366	48	1,1	1,1	NUM
ejpam-1206	366	49	)	)	PUNCT
ejpam-1206	366	50	k	k	PROPN
ejpam-1206	366	51	xk	xk	PROPN
ejpam-1206	366	52	asymptotic	asymptotic	PROPN
ejpam-1206	366	53	xk	xk	PROPN
ejpam-1206	366	54	xk	xk	PROPN
ejpam-1206	366	55	asymptotic	asymptotic	PROPN
ejpam-1206	366	56	xk	xk	PROPN
ejpam-1206	366	57	0	0	NUM
ejpam-1206	366	58	3.0327±	3.0327±	NUM
ejpam-1206	366	59	2.2880i	2.2880i	NUM
ejpam-1206	366	60	2.9696±	2.9696±	NUM
ejpam-1206	366	61	2.2521i	2.2521i	NUM
ejpam-1206	366	62	3.4932±	3.4932±	NUM
ejpam-1206	366	63	2.7751i	2.7751i	NUM
ejpam-1206	366	64	3.4448±	3.4448±	NUM
ejpam-1206	366	65	2.7529i	2.7529i	NOUN
ejpam-1206	366	66	1	1	NUM
ejpam-1206	366	67	5.4610±	5.4610±	NUM
ejpam-1206	366	68	3.5587i	3.5587i	NUM
ejpam-1206	366	69	5.4396±	5.4396±	NUM
ejpam-1206	366	70	3.5468i	3.5468i	NUM
ejpam-1206	366	71	5.8058±	5.8058±	X
ejpam-1206	366	72	4.0221i	4.0221i	NUM
ejpam-1206	366	73	5.7869±	5.7869±	NUM
ejpam-1206	366	74	4.0128i	4.0128i	NOUN
ejpam-1206	366	75	2	2	NUM
ejpam-1206	366	76	7.4473±	7.4473±	NUM
ejpam-1206	366	77	4.6490i	4.6490i	NUM
ejpam-1206	366	78	7.4355±	7.4355±	NUM
ejpam-1206	366	79	4.6424i	4.6424i	NOUN
ejpam-1206	366	80	7.7366±	7.7366±	NUM
ejpam-1206	366	81	5.0838i	5.0838i	VERB
ejpam-1206	366	82	7.7257±	7.7257±	NUM
ejpam-1206	366	83	5.0782i	5.0782i	ADJ
ejpam-1206	366	84	3	3	NUM
ejpam-1206	366	85	10.7994±	10.7994±	NUM
ejpam-1206	366	86	6.5263i	6.5263i	NUM
ejpam-1206	366	87	10.7937±	10.7937±	NUM
ejpam-1206	366	88	6.5231i	6.5231i	NUM
ejpam-1206	366	89	9.4550±	9.4550±	NOUN
ejpam-1206	367	1	6.0386i	6.0386i	ADJ
ejpam-1206	367	2	9.4477±	9.4477±	NUM
ejpam-1206	367	3	6.0348i	6.0348i	NUM
ejpam-1206	367	4	4	4	NUM
ejpam-1206	367	5	12.2888±	12.2888±	NUM
ejpam-1206	368	1	7.3683i	7.3683i	ADJ
ejpam-1206	368	2	12.2844±	12.2844±	NUM
ejpam-1206	368	3	7.3658i	7.3658i	ADJ
ejpam-1206	368	4	11.0314±	11.0314±	NUM
ejpam-1206	369	1	6.9204i	6.9204i	NUM
ejpam-1206	369	2	11.0260±	11.0260±	NUM
ejpam-1206	369	3	6.9175i	6.9175i	ADV
ejpam-1206	369	4	5	5	NUM
ejpam-1206	369	5	13.6931±	13.6931±	NUM
ejpam-1206	369	6	8.1648i	8.1648i	NUM
ejpam-1206	369	7	13.6896±	13.6896±	NUM
ejpam-1206	369	8	8.1628i	8.1628i	NUM
ejpam-1206	369	9	12.5033±	12.5033±	NUM
ejpam-1206	369	10	7.7475i	7.7475i	NUM
ejpam-1206	369	11	12.4991±	12.4991±	NUM
ejpam-1206	369	12	7.7452i	7.7452i	ADJ
ejpam-1206	369	13	possible††	possible††	NOUN
ejpam-1206	369	14	to	to	PART
ejpam-1206	369	15	have	have	AUX
ejpam-1206	369	16	some	some	DET
ejpam-1206	369	17	real	real	ADJ
ejpam-1206	369	18	zeros	zero	NOUN
ejpam-1206	369	19	in	in	ADP
ejpam-1206	369	20	addition	addition	NOUN
ejpam-1206	369	21	to	to	ADP
ejpam-1206	369	22	the	the	DET
ejpam-1206	369	23	complex	complex	ADJ
ejpam-1206	369	24	zeros	zero	NOUN
ejpam-1206	369	25	situated	situate	VERB
ejpam-1206	369	26	near	near	ADP
ejpam-1206	369	27	the	the	DET
ejpam-1206	369	28	antistokes	antistoke	NOUN
ejpam-1206	369	29	lines	line	NOUN
ejpam-1206	369	30	arg	arg	VERB
ejpam-1206	369	31	x	x	PUNCT
ejpam-1206	369	32	=	=	SYM
ejpam-1206	369	33	±πp/(2n	±πp/(2n	PROPN
ejpam-1206	369	34	)	)	PUNCT
ejpam-1206	369	35	.	.	PUNCT
ejpam-1206	370	1	the	the	DET
ejpam-1206	370	2	procedure	procedure	NOUN
ejpam-1206	370	3	for	for	ADP
ejpam-1206	370	4	the	the	DET
ejpam-1206	370	5	calculation	calculation	NOUN
ejpam-1206	370	6	of	of	ADP
ejpam-1206	370	7	the	the	DET
ejpam-1206	370	8	real	real	ADJ
ejpam-1206	370	9	zeros	zero	NOUN
ejpam-1206	370	10	follows	follow	VERB
ejpam-1206	370	11	that	that	SCONJ
ejpam-1206	370	12	described	describe	VERB
ejpam-1206	370	13	in	in	ADP
ejpam-1206	370	14	section	section	NOUN
ejpam-1206	370	15	4.1	4.1	NUM
ejpam-1206	370	16	for	for	ADP
ejpam-1206	370	17	the	the	DET
ejpam-1206	370	18	case	case	NOUN
ejpam-1206	370	19	p	p	X
ejpam-1206	370	20	=	=	NOUN
ejpam-1206	370	21	1	1	X
ejpam-1206	370	22	.	.	X
ejpam-1206	371	1	for	for	ADP
ejpam-1206	371	2	example	example	NOUN
ejpam-1206	371	3	,	,	PUNCT
ejpam-1206	371	4	when	when	SCONJ
ejpam-1206	371	5	n	n	X
ejpam-1206	371	6	=	=	SYM
ejpam-1206	371	7	6	6	NUM
ejpam-1206	371	8	,	,	PUNCT
ejpam-1206	371	9	p	p	NOUN
ejpam-1206	371	10	=	=	SYM
ejpam-1206	371	11	2	2	NUM
ejpam-1206	371	12	(	(	PUNCT
ejpam-1206	371	13	κ	κ	NOUN
ejpam-1206	371	14	=	=	SYM
ejpam-1206	371	15	2	2	NUM
ejpam-1206	371	16	3	3	NUM
ejpam-1206	371	17	)	)	PUNCT
ejpam-1206	371	18	,	,	PUNCT
ejpam-1206	371	19	we	we	PRON
ejpam-1206	371	20	have	have	VERB
ejpam-1206	371	21	the	the	DET
ejpam-1206	371	22	leading	lead	VERB
ejpam-1206	371	23	-	-	PUNCT
ejpam-1206	371	24	order	order	NOUN
ejpam-1206	371	25	approximation	approximation	NOUN
ejpam-1206	371	26	from	from	ADP
ejpam-1206	371	27	(	(	PUNCT
ejpam-1206	371	28	31	31	NUM
ejpam-1206	371	29	)	)	PUNCT
ejpam-1206	371	30	x	x	SYM
ejpam-1206	371	31	(	(	PUNCT
ejpam-1206	371	32	0	0	NUM
ejpam-1206	371	33	)	)	PUNCT
ejpam-1206	371	34	=	=	SYM
ejpam-1206	372	1	p	p	NOUN
ejpam-1206	372	2	2	2	NUM
ejpam-1206	372	3	�	�	PROPN
ejpam-1206	372	4	k+	k+	X
ejpam-1206	372	5	ε+	ε+	NOUN
ejpam-1206	372	6	3	3	NUM
ejpam-1206	372	7	4	4	NUM
ejpam-1206	372	8	−	−	NOUN
ejpam-1206	372	9	1	1	NUM
ejpam-1206	372	10	8	8	NUM
ejpam-1206	372	11	(	(	PUNCT
ejpam-1206	372	12	ν1	ν1	NOUN
ejpam-1206	372	13	+	+	CCONJ
ejpam-1206	372	14	ν2	ν2	PROPN
ejpam-1206	372	15	)	)	PUNCT
ejpam-1206	372	16	�	�	PROPN
ejpam-1206	372	17	π	π	PROPN
ejpam-1206	372	18	,	,	PUNCT
ejpam-1206	372	19	x	x	SYM
ejpam-1206	372	20	=	=	SYM
ejpam-1206	372	21	2	2	NUM
ejpam-1206	372	22	3	3	NUM
ejpam-1206	372	23	x3/2	x3/2	NUM
ejpam-1206	372	24	,	,	PUNCT
ejpam-1206	372	25	where	where	SCONJ
ejpam-1206	372	26	ε=	ε=	ADJ
ejpam-1206	372	27	1	1	NUM
ejpam-1206	372	28	2	2	NUM
ejpam-1206	372	29	for	for	ADP
ejpam-1206	372	30	cn	cn	PROPN
ejpam-1206	372	31	,	,	PUNCT
ejpam-1206	372	32	p(x	p(x	PROPN
ejpam-1206	372	33	;	;	PUNCT
ejpam-1206	372	34	~ν	~ν	NUM
ejpam-1206	372	35	)	)	PUNCT
ejpam-1206	372	36	and	and	CCONJ
ejpam-1206	372	37	ε=	ε=	ADJ
ejpam-1206	372	38	1	1	NUM
ejpam-1206	372	39	for	for	ADP
ejpam-1206	372	40	sn	sn	PROPN
ejpam-1206	372	41	,	,	PUNCT
ejpam-1206	372	42	p(x	p(x	PROPN
ejpam-1206	372	43	;	;	PUNCT
ejpam-1206	372	44	~ν	~ν	NUM
ejpam-1206	372	45	)	)	PUNCT
ejpam-1206	372	46	.	.	PUNCT
ejpam-1206	373	1	the	the	DET
ejpam-1206	373	2	first	first	ADJ
ejpam-1206	373	3	-	-	PUNCT
ejpam-1206	373	4	order	order	NOUN
ejpam-1206	373	5	approximation	approximation	NOUN
ejpam-1206	373	6	x	x	X
ejpam-1206	373	7	(	(	PUNCT
ejpam-1206	373	8	1	1	X
ejpam-1206	373	9	)	)	PUNCT
ejpam-1206	373	10	can	can	AUX
ejpam-1206	373	11	be	be	AUX
ejpam-1206	373	12	similarly	similarly	ADV
ejpam-1206	373	13	computed	compute	VERB
ejpam-1206	373	14	according	accord	VERB
ejpam-1206	373	15	to	to	ADP
ejpam-1206	373	16	(	(	PUNCT
ejpam-1206	373	17	31	31	NUM
ejpam-1206	373	18	)	)	PUNCT
ejpam-1206	373	19	;	;	PUNCT
ejpam-1206	373	20	typical	typical	ADJ
ejpam-1206	373	21	results	result	NOUN
ejpam-1206	373	22	are	be	AUX
ejpam-1206	373	23	shown	show	VERB
ejpam-1206	373	24	in	in	ADP
ejpam-1206	373	25	table	table	NOUN
ejpam-1206	373	26	6	6	NUM
ejpam-1206	373	27	.	.	PUNCT
ejpam-1206	374	1	finally	finally	ADV
ejpam-1206	374	2	,	,	PUNCT
ejpam-1206	374	3	we	we	PRON
ejpam-1206	374	4	briefly	briefly	ADV
ejpam-1206	374	5	discuss	discuss	VERB
ejpam-1206	374	6	the	the	DET
ejpam-1206	374	7	case	case	NOUN
ejpam-1206	374	8	of	of	ADP
ejpam-1206	374	9	even	even	ADV
ejpam-1206	374	10	n	n	ADP
ejpam-1206	374	11	and	and	CCONJ
ejpam-1206	374	12	odd	odd	ADJ
ejpam-1206	374	13	(	(	PUNCT
ejpam-1206	374	14	resp	resp	NOUN
ejpam-1206	374	15	.	.	PUNCT
ejpam-1206	375	1	even	even	ADV
ejpam-1206	375	2	)	)	PUNCT
ejpam-1206	375	3	integer	integer	NOUN
ejpam-1206	375	4	values	value	NOUN
ejpam-1206	375	5	of	of	ADP
ejpam-1206	375	6	νr	νr	NOUN
ejpam-1206	375	7	when	when	SCONJ
ejpam-1206	375	8	κ	κ	NOUN
ejpam-1206	375	9	=	=	SYM
ejpam-1206	375	10	1	1	NUM
ejpam-1206	375	11	2	2	NUM
ejpam-1206	375	12	(	(	PUNCT
ejpam-1206	375	13	that	that	PRON
ejpam-1206	375	14	is	is	ADV
ejpam-1206	375	15	,	,	PUNCT
ejpam-1206	375	16	when	when	SCONJ
ejpam-1206	375	17	p	p	PROPN
ejpam-1206	375	18	=	=	NOUN
ejpam-1206	375	19	1	1	NUM
ejpam-1206	375	20	2	2	NUM
ejpam-1206	375	21	n	n	CCONJ
ejpam-1206	375	22	)	)	PUNCT
ejpam-1206	375	23	.	.	PUNCT
ejpam-1206	376	1	although	although	SCONJ
ejpam-1206	376	2	the	the	DET
ejpam-1206	376	3	functions	function	NOUN
ejpam-1206	376	4	cn	cn	NOUN
ejpam-1206	376	5	,	,	PUNCT
ejpam-1206	376	6	1	1	NUM
ejpam-1206	376	7	2	2	NUM
ejpam-1206	376	8	n(x	n(x	ADJ
ejpam-1206	376	9	;	;	PUNCT
ejpam-1206	376	10	~ν	~ν	NUM
ejpam-1206	376	11	)	)	PUNCT
ejpam-1206	376	12	and	and	CCONJ
ejpam-1206	376	13	sn	sn	PROPN
ejpam-1206	376	14	,	,	PUNCT
ejpam-1206	376	15	1	1	NUM
ejpam-1206	376	16	2	2	NUM
ejpam-1206	376	17	n(x	n(x	PROPN
ejpam-1206	376	18	;	;	PUNCT
ejpam-1206	376	19	~ν	~ν	NUM
ejpam-1206	376	20	)	)	PUNCT
ejpam-1206	376	21	are	be	AUX
ejpam-1206	376	22	also	also	ADV
ejpam-1206	376	23	exponentially	exponentially	ADV
ejpam-1206	376	24	small	small	ADJ
ejpam-1206	376	25	as	as	ADP
ejpam-1206	376	26	x	x	X
ejpam-1206	376	27	→	→	SYM
ejpam-1206	376	28	±∞	±∞	PROPN
ejpam-1206	376	29	when	when	SCONJ
ejpam-1206	376	30	the	the	DET
ejpam-1206	376	31	νr	νr	NOUN
ejpam-1206	376	32	satisfy	satisfy	NOUN
ejpam-1206	376	33	condition	condition	PROPN
ejpam-1206	376	34	a	a	PRON
ejpam-1206	376	35	,	,	PUNCT
ejpam-1206	376	36	it	it	PRON
ejpam-1206	376	37	transpires	transpire	VERB
ejpam-1206	376	38	that	that	SCONJ
ejpam-1206	376	39	they	they	PRON
ejpam-1206	376	40	can	can	AUX
ejpam-1206	376	41	be	be	AUX
ejpam-1206	376	42	evaluated	evaluate	VERB
ejpam-1206	376	43	as	as	ADP
ejpam-1206	376	44	polynomials	polynomial	NOUN
ejpam-1206	376	45	multiplied	multiply	VERB
ejpam-1206	376	46	by	by	ADP
ejpam-1206	376	47	exp	exp	NOUN
ejpam-1206	376	48	(	(	PUNCT
ejpam-1206	376	49	−x2/2	−x2/2	PROPN
ejpam-1206	376	50	)	)	PUNCT
ejpam-1206	376	51	and	and	CCONJ
ejpam-1206	376	52	so	so	ADV
ejpam-1206	376	53	possess	possess	VERB
ejpam-1206	376	54	finitely	finitely	ADV
ejpam-1206	376	55	many	many	ADJ
ejpam-1206	376	56	real	real	ADJ
ejpam-1206	376	57	zeros	zero	NOUN
ejpam-1206	376	58	.	.	PUNCT
ejpam-1206	377	1	this	this	DET
ejpam-1206	377	2	situation	situation	NOUN
ejpam-1206	377	3	may	may	AUX
ejpam-1206	377	4	be	be	AUX
ejpam-1206	377	5	compared	compare	VERB
ejpam-1206	377	6	with	with	ADP
ejpam-1206	377	7	the	the	DET
ejpam-1206	377	8	case	case	NOUN
ejpam-1206	377	9	n	n	NOUN
ejpam-1206	377	10	=	=	SYM
ejpam-1206	377	11	2	2	NUM
ejpam-1206	377	12	,	,	PUNCT
ejpam-1206	377	13	p	p	NOUN
ejpam-1206	377	14	=	=	NOUN
ejpam-1206	377	15	1	1	NUM
ejpam-1206	377	16	in	in	ADP
ejpam-1206	377	17	(	(	PUNCT
ejpam-1206	377	18	32	32	NUM
ejpam-1206	377	19	)	)	PUNCT
ejpam-1206	377	20	,	,	PUNCT
ejpam-1206	377	21	where	where	SCONJ
ejpam-1206	377	22	c2,1(x	c2,1(x	NOUN
ejpam-1206	377	23	;	;	PUNCT
ejpam-1206	377	24	ν	ν	X
ejpam-1206	377	25	)	)	PUNCT
ejpam-1206	377	26	(	(	PUNCT
ejpam-1206	377	27	resp	resp	NOUN
ejpam-1206	377	28	.	.	PUNCT
ejpam-1206	377	29	s2,1(x	s2,1(x	PROPN
ejpam-1206	377	30	;	;	PUNCT
ejpam-1206	377	31	ν	ν	X
ejpam-1206	377	32	)	)	PUNCT
ejpam-1206	377	33	)	)	PUNCT
ejpam-1206	377	34	for	for	ADP
ejpam-1206	377	35	odd	odd	ADJ
ejpam-1206	377	36	(	(	PUNCT
ejpam-1206	377	37	resp	resp	NOUN
ejpam-1206	377	38	.	.	PUNCT
ejpam-1206	378	1	even	even	ADV
ejpam-1206	378	2	)	)	PUNCT
ejpam-1206	378	3	integer	integer	NOUN
ejpam-1206	378	4	ν	ν	NOUN
ejpam-1206	378	5	is	be	AUX
ejpam-1206	378	6	expressible	expressible	ADJ
ejpam-1206	378	7	in	in	ADP
ejpam-1206	378	8	terms	term	NOUN
ejpam-1206	378	9	of	of	ADP
ejpam-1206	378	10	hermite	hermite	ADJ
ejpam-1206	378	11	polynomials	polynomial	NOUN
ejpam-1206	378	12	.	.	PUNCT
ejpam-1206	379	1	to	to	PART
ejpam-1206	379	2	show	show	VERB
ejpam-1206	379	3	this	this	PRON
ejpam-1206	379	4	,	,	PUNCT
ejpam-1206	379	5	we	we	PRON
ejpam-1206	379	6	consider	consider	VERB
ejpam-1206	379	7	only	only	ADV
ejpam-1206	379	8	the	the	DET
ejpam-1206	379	9	case	case	NOUN
ejpam-1206	379	10	of	of	ADP
ejpam-1206	379	11	cn	cn	PROPN
ejpam-1206	379	12	,	,	PUNCT
ejpam-1206	379	13	1	1	NUM
ejpam-1206	379	14	2	2	NUM
ejpam-1206	379	15	n(x	n(x	PROPN
ejpam-1206	379	16	;	;	PUNCT
ejpam-1206	379	17	~ν	~ν	NUM
ejpam-1206	379	18	)	)	PUNCT
ejpam-1206	379	19	;	;	PUNCT
ejpam-1206	379	20	the	the	DET
ejpam-1206	379	21	treatment	treatment	NOUN
ejpam-1206	379	22	of	of	ADP
ejpam-1206	379	23	sn	sn	PROPN
ejpam-1206	379	24	,	,	PUNCT
ejpam-1206	379	25	1	1	NUM
ejpam-1206	379	26	2	2	NUM
ejpam-1206	379	27	n(x	n(x	PROPN
ejpam-1206	379	28	;	;	PUNCT
ejpam-1206	379	29	~ν	~ν	NUM
ejpam-1206	379	30	)	)	PUNCT
ejpam-1206	379	31	is	be	AUX
ejpam-1206	379	32	††for	††for	PROPN
ejpam-1206	379	33	example	example	NOUN
ejpam-1206	379	34	,	,	PUNCT
ejpam-1206	379	35	the	the	DET
ejpam-1206	379	36	function	function	NOUN
ejpam-1206	379	37	c6,2(x	c6,2(x	PROPN
ejpam-1206	379	38	;	;	PUNCT
ejpam-1206	379	39	~ν	~ν	NUM
ejpam-1206	379	40	)	)	PUNCT
ejpam-1206	379	41	with	with	ADP
ejpam-1206	379	42	~ν	~ν	PROPN
ejpam-1206	379	43	=	=	SYM
ejpam-1206	379	44	(	(	PUNCT
ejpam-1206	379	45	1	1	NUM
ejpam-1206	379	46	,	,	PUNCT
ejpam-1206	379	47	7	7	NUM
ejpam-1206	379	48	)	)	PUNCT
ejpam-1206	379	49	has	have	VERB
ejpam-1206	379	50	4	4	NUM
ejpam-1206	379	51	positive	positive	ADJ
ejpam-1206	379	52	real	real	ADJ
ejpam-1206	379	53	zeros	zero	NOUN
ejpam-1206	379	54	.	.	PUNCT
ejpam-1206	380	1	r.	r.	PROPN
ejpam-1206	380	2	paris	paris	PROPN
ejpam-1206	380	3	/	/	SYM
ejpam-1206	380	4	eur	eur	PROPN
ejpam-1206	380	5	.	.	PUNCT
ejpam-1206	381	1	j.	j.	PROPN
ejpam-1206	381	2	pure	pure	PROPN
ejpam-1206	381	3	appl	appl	PROPN
ejpam-1206	381	4	.	.	PROPN
ejpam-1206	381	5	math	math	PROPN
ejpam-1206	381	6	,	,	PUNCT
ejpam-1206	381	7	5	5	NUM
ejpam-1206	381	8	(	(	PUNCT
ejpam-1206	381	9	2012	2012	NUM
ejpam-1206	381	10	)	)	PUNCT
ejpam-1206	381	11	,	,	PUNCT
ejpam-1206	381	12	260	260	NUM
ejpam-1206	381	13	-	-	SYM
ejpam-1206	381	14	281	281	NUM
ejpam-1206	381	15	278	278	NUM
ejpam-1206	381	16	table	table	NOUN
ejpam-1206	381	17	6	6	NUM
ejpam-1206	381	18	:	:	PUNCT
ejpam-1206	381	19	the	the	DET
ejpam-1206	381	20	real	real	ADJ
ejpam-1206	381	21	zeros	zero	NOUN
ejpam-1206	381	22	xk	xk	PROPN
ejpam-1206	381	23	and	and	CCONJ
ejpam-1206	381	24	their	their	PRON
ejpam-1206	381	25	approximations	approximation	NOUN
ejpam-1206	381	26	on	on	ADP
ejpam-1206	381	27	the	the	DET
ejpam-1206	381	28	positive	positive	ADJ
ejpam-1206	381	29	axis	axis	NOUN
ejpam-1206	381	30	when	when	SCONJ
ejpam-1206	381	31	p	p	PROPN
ejpam-1206	381	32	=	=	NOUN
ejpam-1206	381	33	2	2	NUM
ejpam-1206	381	34	for	for	ADP
ejpam-1206	381	35	different	different	ADJ
ejpam-1206	381	36	even	even	ADV
ejpam-1206	381	37	n	n	NOUN
ejpam-1206	381	38	and	and	CCONJ
ejpam-1206	381	39	integer	integer	VERB
ejpam-1206	381	40	~ν	~ν	PUNCT
ejpam-1206	381	41	satisfying	satisfy	VERB
ejpam-1206	381	42	condition	condition	NOUN
ejpam-1206	381	43	a.	a.	NOUN
ejpam-1206	381	44	the	the	DET
ejpam-1206	381	45	corresponding	corresponding	ADJ
ejpam-1206	381	46	value	value	NOUN
ejpam-1206	381	47	of	of	ADP
ejpam-1206	381	48	the	the	DET
ejpam-1206	381	49	coefficient	coefficient	NOUN
ejpam-1206	381	50	c1	c1	PROPN
ejpam-1206	381	51	is	be	AUX
ejpam-1206	381	52	given	give	VERB
ejpam-1206	381	53	.	.	PUNCT
ejpam-1206	382	1	(	(	PUNCT
ejpam-1206	382	2	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	382	3	)	)	PUNCT
ejpam-1206	382	4	=	=	PUNCT
ejpam-1206	382	5	(	(	PUNCT
ejpam-1206	382	6	1,3	1,3	NUM
ejpam-1206	382	7	)	)	PUNCT
ejpam-1206	382	8	,	,	PUNCT
ejpam-1206	382	9	c1	c1	NOUN
ejpam-1206	382	10	=	=	NOUN
ejpam-1206	382	11	5	5	NUM
ejpam-1206	382	12	36	36	NUM
ejpam-1206	382	13	(	(	PUNCT
ejpam-1206	382	14	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	382	15	)	)	PUNCT
ejpam-1206	383	1	=	=	PUNCT
ejpam-1206	383	2	(	(	PUNCT
ejpam-1206	383	3	3,5	3,5	NUM
ejpam-1206	383	4	)	)	PUNCT
ejpam-1206	383	5	c1	c1	NOUN
ejpam-1206	383	6	=	=	PUNCT
ejpam-1206	384	1	−	−	PROPN
ejpam-1206	384	2	7	7	NUM
ejpam-1206	384	3	36	36	NUM
ejpam-1206	384	4	c6,2(x	c6,2(x	NOUN
ejpam-1206	384	5	;	;	PUNCT
ejpam-1206	384	6	~ν	~ν	X
ejpam-1206	384	7	)	)	PUNCT
ejpam-1206	385	1	c6,2(x	c6,2(x	PROPN
ejpam-1206	385	2	;	;	PUNCT
ejpam-1206	385	3	~ν	~ν	X
ejpam-1206	385	4	)	)	PUNCT
ejpam-1206	386	1	k	k	X
ejpam-1206	386	2	xk	xk	PROPN
ejpam-1206	386	3	x	x	PUNCT
ejpam-1206	386	4	(	(	PUNCT
ejpam-1206	386	5	0	0	NUM
ejpam-1206	386	6	)	)	PUNCT
ejpam-1206	386	7	k	k	NOUN
ejpam-1206	386	8	x	x	X
ejpam-1206	386	9	(	(	PUNCT
ejpam-1206	386	10	1	1	NUM
ejpam-1206	386	11	)	)	PUNCT
ejpam-1206	386	12	k	k	NOUN
ejpam-1206	386	13	xk	xk	X
ejpam-1206	386	14	x	x	PUNCT
ejpam-1206	386	15	(	(	PUNCT
ejpam-1206	386	16	0	0	NUM
ejpam-1206	386	17	)	)	PUNCT
ejpam-1206	386	18	k	k	NOUN
ejpam-1206	386	19	x	x	X
ejpam-1206	386	20	(	(	PUNCT
ejpam-1206	386	21	1	1	NUM
ejpam-1206	386	22	)	)	PUNCT
ejpam-1206	386	23	k	k	NOUN
ejpam-1206	386	24	0	0	NUM
ejpam-1206	386	25	2.945831	2.945831	NUM
ejpam-1206	386	26	2.9233	2.9233	NUM
ejpam-1206	386	27	2.9477	2.9477	NUM
ejpam-1206	386	28	1.283599	1.283599	NUM
ejpam-1206	386	29	1.4054	1.4054	NUM
ejpam-1206	386	30	1.2535	1.2535	NUM
ejpam-1206	386	31	1	1	NUM
ejpam-1206	386	32	5.150494	5.150494	NUM
ejpam-1206	386	33	5.1428	5.1428	NUM
ejpam-1206	386	34	5.1506	5.1506	NUM
ejpam-1206	386	35	4.092473	4.092473	NUM
ejpam-1206	386	36	4.1094	4.1094	NUM
ejpam-1206	386	37	4.0921	4.0921	NUM
ejpam-1206	386	38	2	2	NUM
ejpam-1206	386	39	6.955470	6.955470	NUM
ejpam-1206	386	40	6.9512	6.9512	NUM
ejpam-1206	386	41	6.9555	6.9555	NUM
ejpam-1206	386	42	6.072944	6.072944	NUM
ejpam-1206	386	43	6.0808	6.0808	NUM
ejpam-1206	386	44	6.0729	6.0729	NUM
ejpam-1206	386	45	3	3	NUM
ejpam-1206	386	46	8.550716	8.550716	NUM
ejpam-1206	386	47	8.5479	8.5479	NUM
ejpam-1206	386	48	8.5507	8.5507	NUM
ejpam-1206	386	49	7.765281	7.765281	NUM
ejpam-1206	386	50	7.7701	7.7701	NUM
ejpam-1206	386	51	7.7653	7.7653	NUM
ejpam-1206	386	52	4	4	NUM
ejpam-1206	386	53	10.008981	10.008981	NUM
ejpam-1206	386	54	10.0070	10.0070	NUM
ejpam-1206	386	55	10.0090	10.0090	NUM
ejpam-1206	386	56	9.288354	9.288354	NUM
ejpam-1206	386	57	9.2917	9.2917	NUM
ejpam-1206	386	58	9.2884	9.2884	NUM
ejpam-1206	386	59	5	5	NUM
ejpam-1206	386	60	11.367831	11.367831	NUM
ejpam-1206	386	61	11.3662	11.3662	NUM
ejpam-1206	386	62	11.3678	11.3678	NUM
ejpam-1206	386	63	10.694775	10.694775	NUM
ejpam-1206	386	64	10.6974	10.6974	NUM
ejpam-1206	386	65	10.6948	10.6948	NUM
ejpam-1206	386	66	(	(	PUNCT
ejpam-1206	386	67	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	386	68	)	)	PUNCT
ejpam-1206	386	69	=	=	PRON
ejpam-1206	386	70	(	(	PUNCT
ejpam-1206	386	71	2,4	2,4	X
ejpam-1206	386	72	)	)	PUNCT
ejpam-1206	386	73	c1	c1	NOUN
ejpam-1206	386	74	=	=	PUNCT
ejpam-1206	387	1	−	−	PROPN
ejpam-1206	387	2	7	7	NUM
ejpam-1206	387	3	36	36	NUM
ejpam-1206	387	4	(	(	PUNCT
ejpam-1206	387	5	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	387	6	)	)	PUNCT
ejpam-1206	387	7	=	=	PUNCT
ejpam-1206	387	8	(	(	PUNCT
ejpam-1206	387	9	4,6	4,6	NOUN
ejpam-1206	387	10	)	)	PUNCT
ejpam-1206	387	11	,	,	PUNCT
ejpam-1206	387	12	c1	c1	NOUN
ejpam-1206	387	13	=	=	NOUN
ejpam-1206	387	14	5	5	NUM
ejpam-1206	387	15	36	36	NUM
ejpam-1206	387	16	s6,2(x	s6,2(x	PROPN
ejpam-1206	387	17	;	;	PUNCT
ejpam-1206	387	18	~ν	~ν	X
ejpam-1206	387	19	)	)	PUNCT
ejpam-1206	388	1	s6,2(x	s6,2(x	PROPN
ejpam-1206	388	2	;	;	PUNCT
ejpam-1206	388	3	~ν	~ν	X
ejpam-1206	388	4	)	)	PUNCT
ejpam-1206	389	1	k	k	X
ejpam-1206	389	2	xk	xk	PROPN
ejpam-1206	389	3	x	x	PUNCT
ejpam-1206	389	4	(	(	PUNCT
ejpam-1206	389	5	0	0	NUM
ejpam-1206	389	6	)	)	PUNCT
ejpam-1206	389	7	k	k	NOUN
ejpam-1206	389	8	x	x	X
ejpam-1206	389	9	(	(	PUNCT
ejpam-1206	389	10	1	1	NUM
ejpam-1206	389	11	)	)	PUNCT
ejpam-1206	389	12	k	k	NOUN
ejpam-1206	389	13	xk	xk	X
ejpam-1206	389	14	x	x	PUNCT
ejpam-1206	389	15	(	(	PUNCT
ejpam-1206	389	16	0	0	NUM
ejpam-1206	389	17	)	)	PUNCT
ejpam-1206	389	18	k	k	NOUN
ejpam-1206	389	19	x	x	X
ejpam-1206	389	20	(	(	PUNCT
ejpam-1206	389	21	1	1	NUM
ejpam-1206	389	22	)	)	PUNCT
ejpam-1206	389	23	k	k	NOUN
ejpam-1206	389	24	0	0	NUM
ejpam-1206	389	25	3.524152	3.524152	NUM
ejpam-1206	389	26	3.5414	3.5414	NUM
ejpam-1206	389	27	3.5181	3.5181	NUM
ejpam-1206	389	28	2.254113	2.254113	NUM
ejpam-1206	389	29	2.2309	2.2309	NUM
ejpam-1206	389	30	2.2726	2.2726	NUM
ejpam-1206	389	31	1	1	NUM
ejpam-1206	389	32	5.613666	5.613666	NUM
ejpam-1206	389	33	5.6216	5.6216	NUM
ejpam-1206	389	34	5.6123	5.6123	NUM
ejpam-1206	389	35	4.648327	4.648327	NUM
ejpam-1206	389	36	4.6405	4.6405	NUM
ejpam-1206	389	37	4.6502	4.6502	NUM
ejpam-1206	389	38	2	2	NUM
ejpam-1206	389	39	7.361496	7.361496	NUM
ejpam-1206	389	40	7.3663	7.3663	NUM
ejpam-1206	389	41	7.3610	7.3610	NUM
ejpam-1206	389	42	6.527559	6.527559	NUM
ejpam-1206	389	43	6.5233	6.5233	NUM
ejpam-1206	389	44	6.5281	6.5281	NUM
ejpam-1206	389	45	3	3	NUM
ejpam-1206	389	46	8.920297	8.920297	NUM
ejpam-1206	389	47	8.9237	8.9237	NUM
ejpam-1206	389	48	8.9200	8.9200	NUM
ejpam-1206	389	49	8.166473	8.166473	NUM
ejpam-1206	389	50	8.1636	8.1636	NUM
ejpam-1206	389	51	8.1667	8.1667	NUM
ejpam-1206	389	52	4	4	NUM
ejpam-1206	389	53	10.352462	10.352462	NUM
ejpam-1206	389	54	10.3550	10.3550	NUM
ejpam-1206	389	55	10.3523	10.3523	NUM
ejpam-1206	389	56	9.654715	9.654715	NUM
ejpam-1206	389	57	9.6526	9.6526	NUM
ejpam-1206	389	58	9.6549	9.6549	NUM
ejpam-1206	389	59	5	5	NUM
ejpam-1206	389	60	11.691308	11.691308	NUM
ejpam-1206	389	61	11.6933	11.6933	NUM
ejpam-1206	389	62	11.6912	11.6912	NUM
ejpam-1206	389	63	11.035942	11.035942	NUM
ejpam-1206	389	64	11.0343	11.0343	NUM
ejpam-1206	389	65	11.0360	11.0360	NUM
ejpam-1206	389	66	similar	similar	ADJ
ejpam-1206	389	67	.	.	PUNCT
ejpam-1206	390	1	from	from	ADP
ejpam-1206	390	2	(	(	PUNCT
ejpam-1206	390	3	20	20	NUM
ejpam-1206	390	4	)	)	PUNCT
ejpam-1206	390	5	when	when	SCONJ
ejpam-1206	390	6	p	p	NOUN
ejpam-1206	390	7	=	=	NOUN
ejpam-1206	390	8	1	1	NUM
ejpam-1206	390	9	2	2	NUM
ejpam-1206	390	10	n	n	CCONJ
ejpam-1206	390	11	,	,	PUNCT
ejpam-1206	390	12	we	we	PRON
ejpam-1206	390	13	find	find	VERB
ejpam-1206	390	14	cn	cn	PROPN
ejpam-1206	390	15	,	,	PUNCT
ejpam-1206	390	16	1	1	NUM
ejpam-1206	390	17	2	2	NUM
ejpam-1206	390	18	n(x	n(x	ADJ
ejpam-1206	390	19	;	;	PUNCT
ejpam-1206	390	20	~ν	~ν	NUM
ejpam-1206	390	21	)	)	PUNCT
ejpam-1206	391	1	=	=	PUNCT
ejpam-1206	391	2	π	π	NOUN
ejpam-1206	391	3	1	1	NUM
ejpam-1206	391	4	2	2	NUM
ejpam-1206	391	5	nϑ−p/2	nϑ−p/2	ADJ
ejpam-1206	391	6	∞	∞	NUM
ejpam-1206	391	7	∑	∑	ADP
ejpam-1206	391	8	k=0	k=0	PROPN
ejpam-1206	391	9	(	(	PUNCT
ejpam-1206	391	10	−1	−1	NOUN
ejpam-1206	391	11	4	4	NUM
ejpam-1206	391	12	nx2)k	nx2)k	PROPN
ejpam-1206	391	13	k!γ(k+	k!γ(k+	ADJ
ejpam-1206	391	14	1	1	NUM
ejpam-1206	391	15	2	2	NUM
ejpam-1206	391	16	)	)	PUNCT
ejpam-1206	391	17	p	p	PRON
ejpam-1206	391	18	∏	∏	PROPN
ejpam-1206	391	19	r=1	r=1	PROPN
ejpam-1206	391	20	γ	γ	X
ejpam-1206	391	21	�	�	PROPN
ejpam-1206	391	22	2k+	2k+	NUM
ejpam-1206	391	23	νr	νr	NOUN
ejpam-1206	391	24	n	n	PRON
ejpam-1206	391	25	�	�	PROPN
ejpam-1206	391	26	.	.	PUNCT
ejpam-1206	392	1	application	application	NOUN
ejpam-1206	392	2	of	of	ADP
ejpam-1206	392	3	the	the	DET
ejpam-1206	392	4	multiplication	multiplication	NOUN
ejpam-1206	392	5	formula	formula	NOUN
ejpam-1206	392	6	for	for	ADP
ejpam-1206	392	7	the	the	DET
ejpam-1206	392	8	gamma	gamma	NOUN
ejpam-1206	392	9	function	function	NOUN
ejpam-1206	392	10	γ(mz	γ(mz	PROPN
ejpam-1206	392	11	)	)	PUNCT
ejpam-1206	392	12	=	=	SYM
ejpam-1206	392	13	(	(	PUNCT
ejpam-1206	392	14	2π	2π	NOUN
ejpam-1206	392	15	)	)	PUNCT
ejpam-1206	392	16	1	1	NUM
ejpam-1206	392	17	2	2	NUM
ejpam-1206	392	18	(	(	PUNCT
ejpam-1206	392	19	1−m)mmz−	1−m)mmz−	NOUN
ejpam-1206	392	20	1	1	NUM
ejpam-1206	392	21	2	2	NUM
ejpam-1206	392	22	m−1	m−1	PROPN
ejpam-1206	392	23	∏	∏	NUM
ejpam-1206	392	24	r=0	r=0	PROPN
ejpam-1206	392	25	γ(z	γ(z	PROPN
ejpam-1206	392	26	+	+	CCONJ
ejpam-1206	392	27	r	r	NOUN
ejpam-1206	392	28	m	m	NOUN
ejpam-1206	392	29	)	)	PUNCT
ejpam-1206	392	30	,	,	PUNCT
ejpam-1206	392	31	(	(	PUNCT
ejpam-1206	392	32	m=	m=	X
ejpam-1206	392	33	2,3	2,3	NUM
ejpam-1206	392	34	,	,	PUNCT
ejpam-1206	392	35	.	.	PUNCT
ejpam-1206	392	36	.	.	PUNCT
ejpam-1206	392	37	.	.	PUNCT
ejpam-1206	392	38	)	)	PUNCT
ejpam-1206	393	1	with	with	ADP
ejpam-1206	393	2	m	m	PROPN
ejpam-1206	393	3	=	=	SYM
ejpam-1206	393	4	1	1	NUM
ejpam-1206	393	5	2	2	NUM
ejpam-1206	393	6	n	n	NOUN
ejpam-1206	393	7	to	to	ADP
ejpam-1206	393	8	the	the	DET
ejpam-1206	393	9	factor	factor	NOUN
ejpam-1206	393	10	γ(k+	γ(k+	ADV
ejpam-1206	393	11	1	1	NUM
ejpam-1206	393	12	2	2	NUM
ejpam-1206	393	13	)	)	PUNCT
ejpam-1206	393	14	,	,	PUNCT
ejpam-1206	393	15	then	then	ADV
ejpam-1206	393	16	leads	lead	VERB
ejpam-1206	393	17	to	to	ADP
ejpam-1206	393	18	the	the	DET
ejpam-1206	393	19	representation	representation	NOUN
ejpam-1206	393	20	ĉn	ĉn	NOUN
ejpam-1206	393	21	,	,	PUNCT
ejpam-1206	393	22	1	1	NUM
ejpam-1206	393	23	2	2	NUM
ejpam-1206	393	24	n(x	n(x	NOUN
ejpam-1206	393	25	;	;	PUNCT
ejpam-1206	393	26	~ν)≡	~ν)≡	NUM
ejpam-1206	393	27	2	2	NUM
ejpam-1206	393	28	1	1	NUM
ejpam-1206	393	29	2	2	NUM
ejpam-1206	393	30	cn	cn	ADJ
ejpam-1206	393	31	,	,	PUNCT
ejpam-1206	393	32	1	1	NUM
ejpam-1206	393	33	2	2	NUM
ejpam-1206	393	34	n(x	n(x	PROPN
ejpam-1206	393	35	;	;	PUNCT
ejpam-1206	393	36	~ν	~ν	NUM
ejpam-1206	393	37	)	)	PUNCT
ejpam-1206	393	38	(	(	PUNCT
ejpam-1206	393	39	2π)p/2nϑ−p/2	2π)p/2nϑ−p/2	NUM
ejpam-1206	393	40	=	=	SYM
ejpam-1206	393	41	∞	∞	NUM
ejpam-1206	393	42	∑	∑	PUNCT
ejpam-1206	393	43	k=0	k=0	PROPN
ejpam-1206	393	44	ξ(k	ξ(k	PROPN
ejpam-1206	393	45	)	)	PUNCT
ejpam-1206	394	1	k	k	X
ejpam-1206	394	2	!	!	PUNCT
ejpam-1206	394	3	(	(	PUNCT
ejpam-1206	394	4	−1	−1	NOUN
ejpam-1206	394	5	2	2	NUM
ejpam-1206	394	6	x2)k	x2)k	PROPN
ejpam-1206	394	7	,	,	PUNCT
ejpam-1206	394	8	(	(	PUNCT
ejpam-1206	394	9	43	43	NUM
ejpam-1206	394	10	)	)	PUNCT
ejpam-1206	395	1	where	where	SCONJ
ejpam-1206	395	2	ξ(k	ξ(k	NOUN
ejpam-1206	395	3	)	)	PUNCT
ejpam-1206	396	1	=	=	PUNCT
ejpam-1206	396	2	p	p	X
ejpam-1206	396	3	∏	∏	PROPN
ejpam-1206	396	4	r=1	r=1	PROPN
ejpam-1206	396	5	γ	γ	X
ejpam-1206	396	6	�	�	PROPN
ejpam-1206	396	7	2k	2k	PROPN
ejpam-1206	396	8	n	n	PROPN
ejpam-1206	396	9	+	+	CCONJ
ejpam-1206	396	10	νr	νr	PROPN
ejpam-1206	396	11	n	n	PRON
ejpam-1206	396	12	�	�	PROPN
ejpam-1206	396	13	γ	γ	PROPN
ejpam-1206	396	14	�	�	PROPN
ejpam-1206	396	15	2k	2k	PROPN
ejpam-1206	396	16	n	n	PROPN
ejpam-1206	396	17	+	+	CCONJ
ejpam-1206	396	18	2r−1	2r−1	PROPN
ejpam-1206	396	19	n	n	PROPN
ejpam-1206	396	20	�	�	PROPN
ejpam-1206	396	21	.	.	PUNCT
ejpam-1206	397	1	r.	r.	PROPN
ejpam-1206	397	2	paris	paris	PROPN
ejpam-1206	397	3	/	/	SYM
ejpam-1206	397	4	eur	eur	PROPN
ejpam-1206	397	5	.	.	PUNCT
ejpam-1206	398	1	j.	j.	PROPN
ejpam-1206	398	2	pure	pure	PROPN
ejpam-1206	398	3	appl	appl	PROPN
ejpam-1206	398	4	.	.	PROPN
ejpam-1206	398	5	math	math	PROPN
ejpam-1206	398	6	,	,	PUNCT
ejpam-1206	398	7	5	5	NUM
ejpam-1206	398	8	(	(	PUNCT
ejpam-1206	398	9	2012	2012	NUM
ejpam-1206	398	10	)	)	PUNCT
ejpam-1206	398	11	,	,	PUNCT
ejpam-1206	398	12	260	260	NUM
ejpam-1206	398	13	-	-	SYM
ejpam-1206	398	14	281	281	NUM
ejpam-1206	398	15	279	279	NUM
ejpam-1206	398	16	whenever	whenever	SCONJ
ejpam-1206	398	17	the	the	DET
ejpam-1206	398	18	νr	νr	NOUN
ejpam-1206	398	19	are	be	AUX
ejpam-1206	398	20	distinct	distinct	ADJ
ejpam-1206	398	21	odd	odd	ADJ
ejpam-1206	398	22	integers	integer	NOUN
ejpam-1206	398	23	such	such	ADJ
ejpam-1206	398	24	that	that	SCONJ
ejpam-1206	398	25	ξ(k	ξ(k	PROPN
ejpam-1206	398	26	)	)	PUNCT
ejpam-1206	398	27	reduces	reduce	VERB
ejpam-1206	398	28	to	to	ADP
ejpam-1206	398	29	a	a	DET
ejpam-1206	398	30	polynomial	polynomial	NOUN
ejpam-1206	398	31	in	in	ADP
ejpam-1206	398	32	k	k	PROPN
ejpam-1206	398	33	,	,	PUNCT
ejpam-1206	398	34	the	the	DET
ejpam-1206	398	35	sum	sum	NOUN
ejpam-1206	398	36	in	in	ADP
ejpam-1206	398	37	(	(	PUNCT
ejpam-1206	398	38	43	43	NUM
ejpam-1206	398	39	)	)	PUNCT
ejpam-1206	398	40	may	may	AUX
ejpam-1206	398	41	be	be	AUX
ejpam-1206	398	42	evaluated	evaluate	VERB
ejpam-1206	398	43	in	in	ADP
ejpam-1206	398	44	closed	closed	ADJ
ejpam-1206	398	45	form	form	NOUN
ejpam-1206	398	46	in	in	ADP
ejpam-1206	398	47	terms	term	NOUN
ejpam-1206	398	48	of	of	ADP
ejpam-1206	398	49	derivatives	derivative	NOUN
ejpam-1206	398	50	of	of	ADP
ejpam-1206	398	51	exp	exp	NOUN
ejpam-1206	398	52	(	(	PUNCT
ejpam-1206	398	53	−x2/2	−x2/2	PROPN
ejpam-1206	398	54	)	)	PUNCT
ejpam-1206	398	55	.	.	PUNCT
ejpam-1206	399	1	for	for	ADP
ejpam-1206	399	2	example	example	NOUN
ejpam-1206	399	3	,	,	PUNCT
ejpam-1206	399	4	in	in	ADP
ejpam-1206	399	5	the	the	DET
ejpam-1206	399	6	particular	particular	ADJ
ejpam-1206	399	7	case	case	NOUN
ejpam-1206	399	8	n=	n=	ADJ
ejpam-1206	399	9	4	4	NUM
ejpam-1206	399	10	,	,	PUNCT
ejpam-1206	399	11	p	p	NOUN
ejpam-1206	399	12	=	=	NOUN
ejpam-1206	399	13	2	2	NUM
ejpam-1206	399	14	,	,	PUNCT
ejpam-1206	399	15	where	where	SCONJ
ejpam-1206	399	16	ξ(k	ξ(k	NOUN
ejpam-1206	399	17	)	)	PUNCT
ejpam-1206	399	18	=	=	SYM
ejpam-1206	399	19	γ(1	γ(1	ADJ
ejpam-1206	399	20	2	2	NUM
ejpam-1206	399	21	k+	k+	NOUN
ejpam-1206	399	22	1	1	NUM
ejpam-1206	399	23	4	4	NUM
ejpam-1206	399	24	ν1)γ	ν1)γ	NOUN
ejpam-1206	399	25	(	(	PUNCT
ejpam-1206	399	26	1	1	NUM
ejpam-1206	399	27	2	2	NUM
ejpam-1206	399	28	k+	k+	NOUN
ejpam-1206	399	29	1	1	NUM
ejpam-1206	399	30	4	4	NUM
ejpam-1206	399	31	ν2	ν2	NOUN
ejpam-1206	399	32	)	)	PUNCT
ejpam-1206	399	33	γ(1	γ(1	PROPN
ejpam-1206	399	34	2	2	NUM
ejpam-1206	399	35	k+	k+	NOUN
ejpam-1206	399	36	1	1	NUM
ejpam-1206	399	37	4	4	NUM
ejpam-1206	399	38	)	)	PUNCT
ejpam-1206	399	39	γ(1	γ(1	PROPN
ejpam-1206	399	40	2	2	NUM
ejpam-1206	399	41	k+	k+	NOUN
ejpam-1206	399	42	3	3	NUM
ejpam-1206	399	43	4	4	NUM
ejpam-1206	399	44	)	)	PUNCT
ejpam-1206	399	45	,	,	PUNCT
ejpam-1206	399	46	we	we	PRON
ejpam-1206	399	47	see	see	VERB
ejpam-1206	399	48	that	that	SCONJ
ejpam-1206	399	49	when	when	SCONJ
ejpam-1206	399	50	ν1	ν1	NOUN
ejpam-1206	399	51	,	,	PUNCT
ejpam-1206	399	52	ν2	ν2	NOUN
ejpam-1206	399	53	are	be	AUX
ejpam-1206	399	54	distinct	distinct	ADJ
ejpam-1206	399	55	odd	odd	ADJ
ejpam-1206	399	56	integers	integer	NOUN
ejpam-1206	399	57	whose	whose	DET
ejpam-1206	399	58	difference	difference	NOUN
ejpam-1206	399	59	is	be	AUX
ejpam-1206	399	60	not	not	PART
ejpam-1206	399	61	a	a	DET
ejpam-1206	399	62	multiple	multiple	NOUN
ejpam-1206	399	63	of	of	ADP
ejpam-1206	399	64	4	4	NUM
ejpam-1206	399	65	,	,	PUNCT
ejpam-1206	399	66	ξ(k	ξ(k	PROPN
ejpam-1206	399	67	)	)	PUNCT
ejpam-1206	399	68	reduces	reduce	VERB
ejpam-1206	399	69	to	to	ADP
ejpam-1206	399	70	a	a	DET
ejpam-1206	399	71	polynomial	polynomial	NOUN
ejpam-1206	399	72	in	in	ADP
ejpam-1206	399	73	k.	k.	PROPN
ejpam-1206	399	74	the	the	DET
ejpam-1206	399	75	degree	degree	NOUN
ejpam-1206	399	76	of	of	ADP
ejpam-1206	399	77	this	this	DET
ejpam-1206	399	78	polynomial	polynomial	NOUN
ejpam-1206	399	79	depends	depend	VERB
ejpam-1206	399	80	on	on	ADP
ejpam-1206	399	81	~ν	~ν	PROPN
ejpam-1206	399	82	:	:	PUNCT
ejpam-1206	399	83	when	when	SCONJ
ejpam-1206	399	84	(	(	PUNCT
ejpam-1206	399	85	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	399	86	)	)	PUNCT
ejpam-1206	399	87	=	=	PUNCT
ejpam-1206	400	1	(	(	PUNCT
ejpam-1206	400	2	1,3	1,3	NUM
ejpam-1206	400	3	)	)	PUNCT
ejpam-1206	400	4	we	we	PRON
ejpam-1206	400	5	have	have	VERB
ejpam-1206	400	6	ξ(k	ξ(k	NOUN
ejpam-1206	400	7	)	)	PUNCT
ejpam-1206	400	8	=	=	SYM
ejpam-1206	401	1	1	1	NUM
ejpam-1206	401	2	,	,	PUNCT
ejpam-1206	401	3	when	when	SCONJ
ejpam-1206	401	4	(	(	PUNCT
ejpam-1206	401	5	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	401	6	)	)	PUNCT
ejpam-1206	401	7	=	=	PRON
ejpam-1206	401	8	(	(	PUNCT
ejpam-1206	401	9	1,7	1,7	NUM
ejpam-1206	401	10	)	)	PUNCT
ejpam-1206	401	11	we	we	PRON
ejpam-1206	401	12	have	have	VERB
ejpam-1206	401	13	ξ(k	ξ(k	NOUN
ejpam-1206	401	14	)	)	PUNCT
ejpam-1206	401	15	=	=	SYM
ejpam-1206	402	1	1	1	NUM
ejpam-1206	402	2	2	2	NUM
ejpam-1206	402	3	k	k	NOUN
ejpam-1206	402	4	+	+	CCONJ
ejpam-1206	402	5	3	3	NUM
ejpam-1206	402	6	4	4	NUM
ejpam-1206	402	7	,	,	PUNCT
ejpam-1206	402	8	when	when	SCONJ
ejpam-1206	402	9	(	(	PUNCT
ejpam-1206	402	10	ν1,ν2	ν1,ν2	PROPN
ejpam-1206	402	11	)	)	PUNCT
ejpam-1206	402	12	=	=	SYM
ejpam-1206	402	13	(	(	PUNCT
ejpam-1206	402	14	1,11	1,11	X
ejpam-1206	402	15	)	)	PUNCT
ejpam-1206	402	16	we	we	PRON
ejpam-1206	402	17	have	have	VERB
ejpam-1206	402	18	ξ(k	ξ(k	NOUN
ejpam-1206	402	19	)	)	PUNCT
ejpam-1206	402	20	=	=	PUNCT
ejpam-1206	403	1	(	(	PUNCT
ejpam-1206	403	2	1	1	NUM
ejpam-1206	403	3	2	2	NUM
ejpam-1206	403	4	k+	k+	NOUN
ejpam-1206	403	5	3	3	NUM
ejpam-1206	403	6	4	4	NUM
ejpam-1206	403	7	)	)	PUNCT
ejpam-1206	403	8	(	(	PUNCT
ejpam-1206	403	9	1	1	NUM
ejpam-1206	403	10	2	2	NUM
ejpam-1206	403	11	k+	k+	NOUN
ejpam-1206	403	12	7	7	NUM
ejpam-1206	403	13	4	4	NUM
ejpam-1206	403	14	)	)	PUNCT
ejpam-1206	403	15	,	,	PUNCT
ejpam-1206	403	16	and	and	CCONJ
ejpam-1206	403	17	so	so	ADV
ejpam-1206	403	18	on	on	ADV
ejpam-1206	403	19	.	.	PUNCT
ejpam-1206	404	1	thus	thus	ADV
ejpam-1206	404	2	we	we	PRON
ejpam-1206	404	3	find‡‡	find‡‡	PROPN
ejpam-1206	404	4	ĉ4,2(x	ĉ4,2(x	PROPN
ejpam-1206	404	5	;	;	PUNCT
ejpam-1206	404	6	(	(	PUNCT
ejpam-1206	404	7	1,3	1,3	NUM
ejpam-1206	404	8	)	)	PUNCT
ejpam-1206	404	9	)	)	PUNCT
ejpam-1206	405	1	=	=	SYM
ejpam-1206	406	1	e−x2/2	e−x2/2	PROPN
ejpam-1206	406	2	ĉ4,2(x	ĉ4,2(x	NOUN
ejpam-1206	406	3	;	;	PUNCT
ejpam-1206	406	4	(	(	PUNCT
ejpam-1206	406	5	1,7	1,7	NUM
ejpam-1206	406	6	)	)	PUNCT
ejpam-1206	406	7	)	)	PUNCT
ejpam-1206	407	1	=	=	SYM
ejpam-1206	408	1	∞	∞	NUM
ejpam-1206	408	2	∑	∑	PUNCT
ejpam-1206	408	3	k=0	k=0	PROPN
ejpam-1206	408	4	(	(	PUNCT
ejpam-1206	408	5	−1	−1	NOUN
ejpam-1206	408	6	2	2	NUM
ejpam-1206	408	7	x2)k	x2)k	PROPN
ejpam-1206	408	8	k	k	X
ejpam-1206	408	9	!	!	PUNCT
ejpam-1206	409	1	(	(	PUNCT
ejpam-1206	409	2	1	1	NUM
ejpam-1206	409	3	2	2	NUM
ejpam-1206	409	4	k+	k+	NOUN
ejpam-1206	409	5	3	3	NUM
ejpam-1206	409	6	4	4	NUM
ejpam-1206	409	7	)	)	PUNCT
ejpam-1206	409	8	=	=	SYM
ejpam-1206	410	1	1	1	NUM
ejpam-1206	410	2	4	4	NUM
ejpam-1206	410	3	(	(	PUNCT
ejpam-1206	410	4	3−	3−	NUM
ejpam-1206	410	5	x2	x2	NOUN
ejpam-1206	410	6	)	)	PUNCT
ejpam-1206	410	7	e−x2/2	e−x2/2	PROPN
ejpam-1206	410	8	ĉ4,2(x	ĉ4,2(x	NOUN
ejpam-1206	410	9	;	;	PUNCT
ejpam-1206	410	10	(	(	PUNCT
ejpam-1206	410	11	1,11	1,11	NUM
ejpam-1206	410	12	)	)	PUNCT
ejpam-1206	410	13	)	)	PUNCT
ejpam-1206	411	1	=	=	SYM
ejpam-1206	411	2	∞	∞	NUM
ejpam-1206	411	3	∑	∑	PUNCT
ejpam-1206	411	4	k=0	k=0	PROPN
ejpam-1206	411	5	(	(	PUNCT
ejpam-1206	411	6	−1	−1	NOUN
ejpam-1206	411	7	2	2	NUM
ejpam-1206	411	8	x2)k	x2)k	PROPN
ejpam-1206	411	9	k	k	X
ejpam-1206	411	10	!	!	PUNCT
ejpam-1206	412	1	(	(	PUNCT
ejpam-1206	412	2	1	1	NUM
ejpam-1206	412	3	2	2	NUM
ejpam-1206	412	4	k+	k+	NOUN
ejpam-1206	412	5	3	3	NUM
ejpam-1206	412	6	4	4	NUM
ejpam-1206	412	7	)	)	PUNCT
ejpam-1206	412	8	(	(	PUNCT
ejpam-1206	412	9	1	1	NUM
ejpam-1206	412	10	2	2	NUM
ejpam-1206	412	11	k+	k+	NOUN
ejpam-1206	412	12	7	7	NUM
ejpam-1206	412	13	4	4	NUM
ejpam-1206	412	14	)	)	PUNCT
ejpam-1206	412	15	=	=	SYM
ejpam-1206	412	16	1	1	NUM
ejpam-1206	412	17	16	16	NUM
ejpam-1206	412	18	(	(	PUNCT
ejpam-1206	412	19	x4−	x4−	PROPN
ejpam-1206	412	20	12x2	12x2	NUM
ejpam-1206	412	21	+	+	NUM
ejpam-1206	412	22	21	21	NUM
ejpam-1206	412	23	)	)	PUNCT
ejpam-1206	412	24	e−x2/2	e−x2/2	PROPN
ejpam-1206	412	25	.	.	PUNCT
ejpam-1206	413	1	when	when	SCONJ
ejpam-1206	413	2	ν1	ν1	NOUN
ejpam-1206	413	3	,	,	PUNCT
ejpam-1206	413	4	ν2	ν2	NOUN
ejpam-1206	413	5	are	be	AUX
ejpam-1206	413	6	odd	odd	ADJ
ejpam-1206	413	7	integers	integer	NOUN
ejpam-1206	413	8	that	that	SCONJ
ejpam-1206	413	9	either	either	CCONJ
ejpam-1206	413	10	coincide	coincide	NOUN
ejpam-1206	413	11	or	or	CCONJ
ejpam-1206	413	12	differ	differ	VERB
ejpam-1206	413	13	by	by	ADP
ejpam-1206	413	14	a	a	DET
ejpam-1206	413	15	multiple	multiple	NOUN
ejpam-1206	413	16	of	of	ADP
ejpam-1206	413	17	4	4	NUM
ejpam-1206	413	18	,	,	PUNCT
ejpam-1206	413	19	ξ(k	ξ(k	PROPN
ejpam-1206	413	20	)	)	PUNCT
ejpam-1206	413	21	contains	contain	VERB
ejpam-1206	413	22	a	a	DET
ejpam-1206	413	23	gamma	gamma	NOUN
ejpam-1206	413	24	function	function	NOUN
ejpam-1206	413	25	in	in	ADP
ejpam-1206	413	26	the	the	DET
ejpam-1206	413	27	numerator	numerator	NOUN
ejpam-1206	413	28	.	.	PUNCT
ejpam-1206	414	1	it	it	PRON
ejpam-1206	414	2	follows	follow	VERB
ejpam-1206	414	3	from	from	ADP
ejpam-1206	414	4	the	the	DET
ejpam-1206	414	5	asymptotic	asymptotic	ADJ
ejpam-1206	414	6	theory	theory	NOUN
ejpam-1206	414	7	of	of	ADP
ejpam-1206	414	8	the	the	DET
ejpam-1206	414	9	wright	wright	PROPN
ejpam-1206	414	10	function	function	PROPN
ejpam-1206	414	11	[	[	X
ejpam-1206	414	12	18	18	NUM
ejpam-1206	414	13	,	,	PUNCT
ejpam-1206	414	14	2	2	NUM
ejpam-1206	414	15	,	,	PUNCT
ejpam-1206	414	16	10	10	NUM
ejpam-1206	414	17	]	]	PUNCT
ejpam-1206	414	18	that	that	SCONJ
ejpam-1206	414	19	the	the	DET
ejpam-1206	414	20	large	large	ADJ
ejpam-1206	414	21	-	-	PUNCT
ejpam-1206	414	22	x	x	NOUN
ejpam-1206	414	23	behaviour	behaviour	NOUN
ejpam-1206	414	24	of	of	ADP
ejpam-1206	414	25	c4,2(x	c4,2(x	PROPN
ejpam-1206	414	26	;	;	PUNCT
ejpam-1206	414	27	~ν)must	~ν)must	AUX
ejpam-1206	414	28	then	then	ADV
ejpam-1206	414	29	contain	contain	VERB
ejpam-1206	414	30	a	a	DET
ejpam-1206	414	31	non	non	ADJ
ejpam-1206	414	32	-	-	ADJ
ejpam-1206	414	33	vanishing	vanishing	ADJ
ejpam-1206	414	34	algebraic	algebraic	ADJ
ejpam-1206	414	35	component	component	NOUN
ejpam-1206	414	36	,	,	PUNCT
ejpam-1206	414	37	with	with	ADP
ejpam-1206	414	38	the	the	DET
ejpam-1206	414	39	result	result	NOUN
ejpam-1206	414	40	that	that	SCONJ
ejpam-1206	414	41	there	there	PRON
ejpam-1206	414	42	will	will	AUX
ejpam-1206	414	43	be	be	AUX
ejpam-1206	414	44	infinite	infinite	ADJ
ejpam-1206	414	45	strings	string	NOUN
ejpam-1206	414	46	of	of	ADP
ejpam-1206	414	47	complex	complex	ADJ
ejpam-1206	414	48	zeros	zero	NOUN
ejpam-1206	414	49	in	in	ADP
ejpam-1206	414	50	this	this	DET
ejpam-1206	414	51	case	case	NOUN
ejpam-1206	414	52	.	.	PUNCT
ejpam-1206	415	1	6	6	X
ejpam-1206	415	2	.	.	X
ejpam-1206	415	3	concluding	conclude	VERB
ejpam-1206	415	4	remarks	remark	VERB
ejpam-1206	415	5	the	the	DET
ejpam-1206	415	6	asymptotic	asymptotic	ADJ
ejpam-1206	415	7	expansion	expansion	NOUN
ejpam-1206	415	8	of	of	ADP
ejpam-1206	415	9	the	the	DET
ejpam-1206	415	10	integrals	integral	NOUN
ejpam-1206	415	11	cn	cn	PROPN
ejpam-1206	415	12	,	,	PUNCT
ejpam-1206	415	13	p(x	p(x	PROPN
ejpam-1206	415	14	;	;	PUNCT
ejpam-1206	415	15	~ν	~ν	NUM
ejpam-1206	415	16	)	)	PUNCT
ejpam-1206	415	17	and	and	CCONJ
ejpam-1206	415	18	sn	sn	PROPN
ejpam-1206	415	19	,	,	PUNCT
ejpam-1206	415	20	p(x	p(x	PROPN
ejpam-1206	415	21	;	;	PUNCT
ejpam-1206	415	22	~ν	~ν	NUM
ejpam-1206	415	23	)	)	PUNCT
ejpam-1206	415	24	defined	define	VERB
ejpam-1206	415	25	in	in	ADP
ejpam-1206	415	26	(	(	PUNCT
ejpam-1206	415	27	3	3	NUM
ejpam-1206	415	28	)	)	PUNCT
ejpam-1206	415	29	for	for	ADP
ejpam-1206	415	30	large	large	ADJ
ejpam-1206	415	31	complex	complex	NOUN
ejpam-1206	415	32	x	x	PRON
ejpam-1206	415	33	has	have	AUX
ejpam-1206	415	34	been	be	AUX
ejpam-1206	415	35	obtained	obtain	VERB
ejpam-1206	415	36	by	by	ADP
ejpam-1206	415	37	application	application	NOUN
ejpam-1206	415	38	of	of	ADP
ejpam-1206	415	39	the	the	DET
ejpam-1206	415	40	asymptotic	asymptotic	ADJ
ejpam-1206	415	41	theory	theory	NOUN
ejpam-1206	415	42	of	of	ADP
ejpam-1206	415	43	a	a	DET
ejpam-1206	415	44	particular	particular	ADJ
ejpam-1206	415	45	case	case	NOUN
ejpam-1206	415	46	of	of	ADP
ejpam-1206	415	47	the	the	DET
ejpam-1206	415	48	wright	wright	PROPN
ejpam-1206	415	49	function	function	PROPN
ejpam-1206	415	50	.	.	PUNCT
ejpam-1206	416	1	the	the	DET
ejpam-1206	416	2	case	case	NOUN
ejpam-1206	416	3	corresponding	correspond	VERB
ejpam-1206	416	4	to	to	ADP
ejpam-1206	416	5	p	p	NOUN
ejpam-1206	416	6	=	=	NOUN
ejpam-1206	416	7	1	1	NUM
ejpam-1206	416	8	,	,	PUNCT
ejpam-1206	416	9	where	where	SCONJ
ejpam-1206	416	10	the	the	DET
ejpam-1206	416	11	integrals	integral	NOUN
ejpam-1206	416	12	are	be	AUX
ejpam-1206	416	13	onedimensional	onedimensional	ADJ
ejpam-1206	416	14	fourier	fourier	NOUN
ejpam-1206	416	15	integrals	integral	NOUN
ejpam-1206	416	16	,	,	PUNCT
ejpam-1206	416	17	extends	extend	VERB
ejpam-1206	416	18	the	the	DET
ejpam-1206	416	19	results	result	NOUN
ejpam-1206	416	20	of	of	ADP
ejpam-1206	416	21	previous	previous	ADJ
ejpam-1206	416	22	authors	author	NOUN
ejpam-1206	416	23	.	.	PUNCT
ejpam-1206	417	1	the	the	DET
ejpam-1206	417	2	zeros	zero	NOUN
ejpam-1206	417	3	of	of	ADP
ejpam-1206	417	4	cn	cn	PROPN
ejpam-1206	417	5	,	,	PUNCT
ejpam-1206	417	6	p(x	p(x	PROPN
ejpam-1206	417	7	;	;	PUNCT
ejpam-1206	417	8	~ν	~ν	NUM
ejpam-1206	417	9	)	)	PUNCT
ejpam-1206	417	10	and	and	CCONJ
ejpam-1206	417	11	sn	sn	PROPN
ejpam-1206	417	12	,	,	PUNCT
ejpam-1206	417	13	p(x	p(x	PROPN
ejpam-1206	417	14	;	;	PUNCT
ejpam-1206	417	15	~ν	~ν	NUM
ejpam-1206	417	16	)	)	PUNCT
ejpam-1206	417	17	have	have	AUX
ejpam-1206	417	18	been	be	AUX
ejpam-1206	417	19	considered	consider	VERB
ejpam-1206	417	20	which	which	PRON
ejpam-1206	417	21	,	,	PUNCT
ejpam-1206	417	22	in	in	ADP
ejpam-1206	417	23	general	general	ADJ
ejpam-1206	417	24	,	,	PUNCT
ejpam-1206	417	25	are	be	AUX
ejpam-1206	417	26	found	find	VERB
ejpam-1206	417	27	to	to	PART
ejpam-1206	417	28	lie	lie	VERB
ejpam-1206	417	29	in	in	ADP
ejpam-1206	417	30	infinite	infinite	ADJ
ejpam-1206	417	31	strings	string	NOUN
ejpam-1206	417	32	in	in	ADP
ejpam-1206	417	33	the	the	DET
ejpam-1206	417	34	complex	complex	ADJ
ejpam-1206	417	35	plane	plane	NOUN
ejpam-1206	417	36	situated	situate	VERB
ejpam-1206	417	37	near	near	ADP
ejpam-1206	417	38	the	the	DET
ejpam-1206	417	39	anti	anti	ADJ
ejpam-1206	417	40	-	-	ADJ
ejpam-1206	417	41	stokes	stokes	ADJ
ejpam-1206	417	42	lines	line	NOUN
ejpam-1206	417	43	arg	arg	VERB
ejpam-1206	417	44	x	x	PUNCT
ejpam-1206	417	45	=	=	SYM
ejpam-1206	417	46	±πp/(2n	±πp/(2n	PROPN
ejpam-1206	417	47	)	)	PUNCT
ejpam-1206	417	48	in	in	ADP
ejpam-1206	417	49	the	the	DET
ejpam-1206	417	50	right	right	ADJ
ejpam-1206	417	51	-	-	PUNCT
ejpam-1206	417	52	half	half	NOUN
ejpam-1206	417	53	plane	plane	NOUN
ejpam-1206	417	54	,	,	PUNCT
ejpam-1206	417	55	with	with	ADP
ejpam-1206	417	56	a	a	DET
ejpam-1206	417	57	symmetrical	symmetrical	ADJ
ejpam-1206	417	58	distribution	distribution	NOUN
ejpam-1206	417	59	in	in	ADP
ejpam-1206	417	60	the	the	DET
ejpam-1206	417	61	left	left	ADJ
ejpam-1206	417	62	-	-	PUNCT
ejpam-1206	417	63	half	half	NOUN
ejpam-1206	417	64	plane	plane	NOUN
ejpam-1206	417	65	.	.	PUNCT
ejpam-1206	418	1	an	an	DET
ejpam-1206	418	2	infinite	infinite	ADJ
ejpam-1206	418	3	sequence	sequence	NOUN
ejpam-1206	418	4	of	of	ADP
ejpam-1206	418	5	real	real	ADJ
ejpam-1206	418	6	zeros	zero	NOUN
ejpam-1206	418	7	of	of	ADP
ejpam-1206	418	8	cn	cn	PROPN
ejpam-1206	418	9	,	,	PUNCT
ejpam-1206	418	10	p(x	p(x	PROPN
ejpam-1206	418	11	;	;	PUNCT
ejpam-1206	418	12	~ν	~ν	NUM
ejpam-1206	418	13	)	)	PUNCT
ejpam-1206	418	14	(	(	PUNCT
ejpam-1206	418	15	resp	resp	NOUN
ejpam-1206	418	16	.	.	PUNCT
ejpam-1206	419	1	sn	sn	PROPN
ejpam-1206	419	2	,	,	PUNCT
ejpam-1206	419	3	p(x	p(x	PROPN
ejpam-1206	419	4	;	;	PUNCT
ejpam-1206	419	5	~ν	~ν	NUM
ejpam-1206	419	6	)	)	PUNCT
ejpam-1206	419	7	)	)	PUNCT
ejpam-1206	419	8	is	be	AUX
ejpam-1206	419	9	found	find	VERB
ejpam-1206	419	10	to	to	PART
ejpam-1206	419	11	occur	occur	VERB
ejpam-1206	419	12	only	only	ADV
ejpam-1206	419	13	when	when	SCONJ
ejpam-1206	419	14	n	n	X
ejpam-1206	419	15	is	be	AUX
ejpam-1206	419	16	even	even	ADV
ejpam-1206	419	17	,	,	PUNCT
ejpam-1206	419	18	p	p	X
ejpam-1206	419	19	/	/	SYM
ejpam-1206	419	20	n	n	NOUN
ejpam-1206	419	21	<	<	X
ejpam-1206	419	22	1	1	NUM
ejpam-1206	419	23	2	2	NUM
ejpam-1206	419	24	and	and	CCONJ
ejpam-1206	419	25	the	the	DET
ejpam-1206	419	26	parameters	parameter	NOUN
ejpam-1206	419	27	νr	νr	X
ejpam-1206	419	28	(	(	PUNCT
ejpam-1206	419	29	1	1	NUM
ejpam-1206	419	30	≤	≤	NOUN
ejpam-1206	419	31	r	r	NOUN
ejpam-1206	419	32	≤	≤	NOUN
ejpam-1206	419	33	p	p	X
ejpam-1206	419	34	)	)	PUNCT
ejpam-1206	419	35	are	be	AUX
ejpam-1206	419	36	distinct	distinct	ADJ
ejpam-1206	419	37	odd	odd	ADJ
ejpam-1206	419	38	(	(	PUNCT
ejpam-1206	419	39	resp	resp	NOUN
ejpam-1206	419	40	.	.	PUNCT
ejpam-1206	420	1	even	even	ADV
ejpam-1206	420	2	)	)	PUNCT
ejpam-1206	420	3	integers	integer	NOUN
ejpam-1206	420	4	which	which	PRON
ejpam-1206	420	5	do	do	AUX
ejpam-1206	420	6	not	not	PART
ejpam-1206	420	7	differ	differ	VERB
ejpam-1206	420	8	by	by	ADP
ejpam-1206	420	9	integer	integer	NOUN
ejpam-1206	420	10	multiples	multiple	NOUN
ejpam-1206	420	11	of	of	ADP
ejpam-1206	420	12	n.	n.	NOUN
ejpam-1206	420	13	in	in	ADP
ejpam-1206	420	14	this	this	DET
ejpam-1206	420	15	case	case	NOUN
ejpam-1206	420	16	,	,	PUNCT
ejpam-1206	420	17	the	the	DET
ejpam-1206	420	18	integrals	integral	NOUN
ejpam-1206	420	19	in	in	ADP
ejpam-1206	420	20	(	(	PUNCT
ejpam-1206	420	21	3	3	X
ejpam-1206	420	22	)	)	PUNCT
ejpam-1206	420	23	may	may	AUX
ejpam-1206	420	24	also	also	ADV
ejpam-1206	420	25	be	be	AUX
ejpam-1206	420	26	written	write	VERB
ejpam-1206	420	27	over	over	ADP
ejpam-1206	420	28	doubly	doubly	ADV
ejpam-1206	420	29	infinite	infinite	ADJ
ejpam-1206	420	30	intervals	interval	NOUN
ejpam-1206	420	31	in	in	ADP
ejpam-1206	420	32	the	the	DET
ejpam-1206	420	33	form	form	NOUN
ejpam-1206	420	34	cn	cn	PROPN
ejpam-1206	420	35	,	,	PUNCT
ejpam-1206	420	36	p(x	p(x	PROPN
ejpam-1206	420	37	;	;	PUNCT
ejpam-1206	420	38	~ν	~ν	NUM
ejpam-1206	420	39	)	)	PUNCT
ejpam-1206	420	40	=	=	SYM
ejpam-1206	421	1	2−p	2−p	NUM
ejpam-1206	421	2	∫	∫	NOUN
ejpam-1206	421	3	∞	∞	PROPN
ejpam-1206	421	4	−∞	−∞	PROPN
ejpam-1206	421	5	.	.	PUNCT
ejpam-1206	421	6	.	.	PUNCT
ejpam-1206	421	7	.	.	PUNCT
ejpam-1206	422	1	∫	∫	PROPN
ejpam-1206	423	1	∞	∞	PROPN
ejpam-1206	423	2	−∞	−∞	ADP
ejpam-1206	423	3	t	t	PROPN
ejpam-1206	423	4	2m1	2m1	NUM
ejpam-1206	423	5	1	1	NUM
ejpam-1206	423	6	.	.	PUNCT
ejpam-1206	423	7	.	.	PUNCT
ejpam-1206	423	8	.	.	PUNCT
ejpam-1206	424	1	t	t	PROPN
ejpam-1206	424	2	2mp	2mp	PROPN
ejpam-1206	424	3	p	p	X
ejpam-1206	424	4	ei	ei	X
ejpam-1206	424	5	x	x	NOUN
ejpam-1206	424	6	t1	t1	NOUN
ejpam-1206	424	7	...	...	PUNCT
ejpam-1206	424	8	tp	tp	X
ejpam-1206	424	9	exp	exp	NOUN
ejpam-1206	425	1	[	[	X
ejpam-1206	425	2	−(tn	−(tn	PROPN
ejpam-1206	425	3	1	1	NUM
ejpam-1206	425	4	+	+	CCONJ
ejpam-1206	425	5	·	·	PUNCT
ejpam-1206	425	6	·	·	PUNCT
ejpam-1206	425	7	·	·	PUNCT
ejpam-1206	425	8	+	+	NUM
ejpam-1206	425	9	tn	tn	NUM
ejpam-1206	425	10	p)/n	p)/n	PROPN
ejpam-1206	425	11	]	]	PUNCT
ejpam-1206	426	1	d	d	X
ejpam-1206	426	2	t1	t1	NOUN
ejpam-1206	426	3	.	.	PUNCT
ejpam-1206	426	4	.	.	PUNCT
ejpam-1206	426	5	.	.	PUNCT
ejpam-1206	427	1	d	d	X
ejpam-1206	427	2	tp	tp	NOUN
ejpam-1206	427	3	,	,	PUNCT
ejpam-1206	427	4	‡‡we	‡‡we	PROPN
ejpam-1206	427	5	employ	employ	VERB
ejpam-1206	427	6	the	the	DET
ejpam-1206	427	7	result	result	NOUN
ejpam-1206	427	8	∑∞	∑∞	NOUN
ejpam-1206	427	9	k=0	k=0	PUNCT
ejpam-1206	427	10	kr(−z)k	kr(−z)k	PROPN
ejpam-1206	427	11	/	/	SYM
ejpam-1206	427	12	k!=	k!=	X
ejpam-1206	427	13	(	(	PUNCT
ejpam-1206	427	14	−)r(zd	−)r(zd	NOUN
ejpam-1206	427	15	/	/	SYM
ejpam-1206	428	1	dz)re−z	dz)re−z	ADJ
ejpam-1206	428	2	for	for	ADP
ejpam-1206	428	3	r	r	NOUN
ejpam-1206	428	4	=	=	SYM
ejpam-1206	428	5	0	0	NUM
ejpam-1206	428	6	,	,	PUNCT
ejpam-1206	428	7	1	1	NUM
ejpam-1206	428	8	,	,	PUNCT
ejpam-1206	428	9	2	2	NUM
ejpam-1206	428	10	,	,	PUNCT
ejpam-1206	428	11	.	.	PUNCT
ejpam-1206	428	12	.	.	PUNCT
ejpam-1206	428	13	.	.	PUNCT
ejpam-1206	429	1	.	.	PUNCT
ejpam-1206	430	1	references	reference	NOUN
ejpam-1206	430	2	280	280	NUM
ejpam-1206	430	3	with	with	ADP
ejpam-1206	430	4	νr	νr	NOUN
ejpam-1206	430	5	=	=	SYM
ejpam-1206	430	6	2mr	2mr	NOUN
ejpam-1206	431	1	+	+	CCONJ
ejpam-1206	431	2	1	1	NUM
ejpam-1206	431	3	,	,	PUNCT
ejpam-1206	431	4	and	and	CCONJ
ejpam-1206	431	5	isn	isn	VERB
ejpam-1206	431	6	,	,	PUNCT
ejpam-1206	431	7	p(x	p(x	NOUN
ejpam-1206	431	8	;	;	PUNCT
ejpam-1206	431	9	~ν	~ν	NUM
ejpam-1206	431	10	)	)	PUNCT
ejpam-1206	431	11	=	=	SYM
ejpam-1206	432	1	2−p	2−p	NUM
ejpam-1206	432	2	∫	∫	NOUN
ejpam-1206	432	3	∞	∞	PROPN
ejpam-1206	432	4	−∞	−∞	PROPN
ejpam-1206	432	5	.	.	PUNCT
ejpam-1206	432	6	.	.	PUNCT
ejpam-1206	432	7	.	.	PUNCT
ejpam-1206	433	1	∫	∫	PROPN
ejpam-1206	434	1	∞	∞	PROPN
ejpam-1206	434	2	−∞	−∞	ADP
ejpam-1206	434	3	t	t	PROPN
ejpam-1206	434	4	2m1	2m1	NUM
ejpam-1206	434	5	+	+	PROPN
ejpam-1206	434	6	1	1	NUM
ejpam-1206	434	7	1	1	NUM
ejpam-1206	434	8	.	.	PUNCT
ejpam-1206	434	9	.	.	PUNCT
ejpam-1206	434	10	.	.	PUNCT
ejpam-1206	435	1	t	t	NOUN
ejpam-1206	435	2	2mp+1	2mp+1	NUM
ejpam-1206	435	3	p	p	NOUN
ejpam-1206	435	4	ei	ei	X
ejpam-1206	435	5	x	x	X
ejpam-1206	435	6	t1	t1	NOUN
ejpam-1206	435	7	...	...	PUNCT
ejpam-1206	435	8	tp	tp	X
ejpam-1206	435	9	exp	exp	NOUN
ejpam-1206	436	1	[	[	X
ejpam-1206	436	2	−(tn	−(tn	PROPN
ejpam-1206	436	3	1	1	NUM
ejpam-1206	436	4	+	+	CCONJ
ejpam-1206	436	5	·	·	PUNCT
ejpam-1206	436	6	·	·	PUNCT
ejpam-1206	436	7	·	·	PUNCT
ejpam-1206	436	8	+	+	NUM
ejpam-1206	436	9	tn	tn	NUM
ejpam-1206	436	10	p)/n	p)/n	PROPN
ejpam-1206	436	11	]	]	PUNCT
ejpam-1206	437	1	d	d	X
ejpam-1206	437	2	t1	t1	NOUN
ejpam-1206	437	3	.	.	PUNCT
ejpam-1206	437	4	.	.	PUNCT
ejpam-1206	437	5	.	.	PUNCT
ejpam-1206	438	1	d	d	X
ejpam-1206	438	2	tp	tp	NOUN
ejpam-1206	438	3	,	,	PUNCT
ejpam-1206	438	4	with	with	ADP
ejpam-1206	438	5	νr	νr	NOUN
ejpam-1206	438	6	=	=	SYM
ejpam-1206	438	7	2mr+2	2mr+2	NUM
ejpam-1206	438	8	,	,	PUNCT
ejpam-1206	438	9	where	where	SCONJ
ejpam-1206	438	10	mr	mr	PROPN
ejpam-1206	438	11	(	(	PUNCT
ejpam-1206	438	12	1≤	1≤	NUM
ejpam-1206	438	13	r	r	NOUN
ejpam-1206	438	14	≤	≤	NOUN
ejpam-1206	438	15	p	p	X
ejpam-1206	438	16	)	)	PUNCT
ejpam-1206	438	17	are	be	AUX
ejpam-1206	438	18	distinct	distinct	ADJ
ejpam-1206	438	19	nonnegative	nonnegative	ADJ
ejpam-1206	438	20	integers	integer	NOUN
ejpam-1206	438	21	which	which	PRON
ejpam-1206	438	22	do	do	AUX
ejpam-1206	438	23	not	not	PART
ejpam-1206	438	24	differ	differ	VERB
ejpam-1206	438	25	by	by	ADP
ejpam-1206	438	26	a	a	DET
ejpam-1206	438	27	multiple	multiple	NOUN
ejpam-1206	438	28	of	of	ADP
ejpam-1206	438	29	1	1	NUM
ejpam-1206	438	30	2	2	NUM
ejpam-1206	438	31	n.	n.	NOUN
ejpam-1206	438	32	finally	finally	ADV
ejpam-1206	438	33	,	,	PUNCT
ejpam-1206	438	34	from	from	ADP
ejpam-1206	438	35	(	(	PUNCT
ejpam-1206	438	36	9	9	NUM
ejpam-1206	438	37	)	)	PUNCT
ejpam-1206	438	38	,	,	PUNCT
ejpam-1206	438	39	we	we	PRON
ejpam-1206	438	40	remark	remark	VERB
ejpam-1206	438	41	that	that	SCONJ
ejpam-1206	438	42	the	the	DET
ejpam-1206	438	43	integrals	integral	NOUN
ejpam-1206	438	44	cn	cn	PROPN
ejpam-1206	438	45	,	,	PUNCT
ejpam-1206	438	46	p(x	p(x	PROPN
ejpam-1206	438	47	;	;	PUNCT
ejpam-1206	438	48	~ν	~ν	NUM
ejpam-1206	438	49	)	)	PUNCT
ejpam-1206	438	50	and	and	CCONJ
ejpam-1206	438	51	sn	sn	PROPN
ejpam-1206	438	52	,	,	PUNCT
ejpam-1206	438	53	p(x	p(x	PROPN
ejpam-1206	438	54	;	;	PUNCT
ejpam-1206	438	55	~ν	~ν	NUM
ejpam-1206	438	56	)	)	PUNCT
ejpam-1206	438	57	are	be	AUX
ejpam-1206	438	58	the	the	DET
ejpam-1206	438	59	even	even	ADJ
ejpam-1206	438	60	and	and	CCONJ
ejpam-1206	438	61	odd	odd	ADJ
ejpam-1206	438	62	solutions	solution	NOUN
ejpam-1206	438	63	of	of	ADP
ejpam-1206	438	64	the	the	DET
ejpam-1206	438	65	nth	nth	NOUN
ejpam-1206	438	66	-	-	PUNCT
ejpam-1206	438	67	order	order	NOUN
ejpam-1206	438	68	differential	differential	ADJ
ejpam-1206	438	69	equation	equation	NOUN
ejpam-1206	438	70	(	(	PUNCT
ejpam-1206	438	71	5	5	NUM
ejpam-1206	438	72	)	)	PUNCT
ejpam-1206	438	73	,	,	PUNCT
ejpam-1206	438	74	with	with	SCONJ
ejpam-1206	438	75	the	the	DET
ejpam-1206	438	76	upper	upper	ADJ
ejpam-1206	438	77	or	or	CCONJ
ejpam-1206	438	78	lower	low	ADJ
ejpam-1206	438	79	sign	sign	NOUN
ejpam-1206	438	80	chosen	choose	VERB
ejpam-1206	438	81	according	accord	VERB
ejpam-1206	438	82	as	as	SCONJ
ejpam-1206	438	83	1	1	NUM
ejpam-1206	438	84	2	2	NUM
ejpam-1206	438	85	n	n	NOUN
ejpam-1206	438	86	is	be	AUX
ejpam-1206	438	87	even	even	ADV
ejpam-1206	438	88	or	or	CCONJ
ejpam-1206	438	89	odd	odd	ADJ
ejpam-1206	438	90	,	,	PUNCT
ejpam-1206	438	91	respectively	respectively	ADV
ejpam-1206	438	92	,	,	PUNCT
ejpam-1206	438	93	and	and	CCONJ
ejpam-1206	438	94	the	the	DET
ejpam-1206	438	95	coefficients	coefficient	NOUN
ejpam-1206	438	96	ar	ar	VERB
ejpam-1206	438	97	given	give	VERB
ejpam-1206	438	98	in	in	ADP
ejpam-1206	438	99	terms	term	NOUN
ejpam-1206	438	100	of	of	ADP
ejpam-1206	438	101	the	the	PRON
ejpam-1206	438	102	νr	νr	NOUN
ejpam-1206	438	103	by	by	ADP
ejpam-1206	438	104	(	(	PUNCT
ejpam-1206	438	105	6	6	NUM
ejpam-1206	438	106	)	)	PUNCT
ejpam-1206	438	107	.	.	PUNCT
ejpam-1206	439	1	appendix	appendix	NOUN
ejpam-1206	439	2	:	:	PUNCT
ejpam-1206	439	3	the	the	DET
ejpam-1206	439	4	zeros	zero	NOUN
ejpam-1206	439	5	of	of	ADP
ejpam-1206	439	6	cn,1(x	cn,1(x	NOUN
ejpam-1206	439	7	;	;	PUNCT
ejpam-1206	439	8	ν	ν	X
ejpam-1206	439	9	)	)	PUNCT
ejpam-1206	439	10	and	and	CCONJ
ejpam-1206	439	11	sn,1(x	sn,1(x	NOUN
ejpam-1206	439	12	;	;	PUNCT
ejpam-1206	439	13	ν	ν	X
ejpam-1206	439	14	)	)	PUNCT
ejpam-1206	439	15	for	for	ADP
ejpam-1206	439	16	even	even	ADV
ejpam-1206	439	17	n	n	NOUN
ejpam-1206	439	18	and	and	CCONJ
ejpam-1206	439	19	integer	integer	PROPN
ejpam-1206	439	20	ν	ν	NOUN
ejpam-1206	439	21	let	let	VERB
ejpam-1206	439	22	n=	n=	ADJ
ejpam-1206	439	23	1,2	1,2	NUM
ejpam-1206	439	24	,	,	PUNCT
ejpam-1206	439	25	.	.	PUNCT
ejpam-1206	439	26	.	.	PUNCT
ejpam-1206	440	1	.	.	PUNCT
ejpam-1206	441	1	,	,	PUNCT
ejpam-1206	441	2	m=	m=	X
ejpam-1206	441	3	0,1,2	0,1,2	NUM
ejpam-1206	441	4	,	,	PUNCT
ejpam-1206	441	5	.	.	PUNCT
ejpam-1206	441	6	.	.	PUNCT
ejpam-1206	442	1	.	.	PUNCT
ejpam-1206	443	1	and	and	CCONJ
ejpam-1206	443	2	define	define	VERB
ejpam-1206	443	3	ψn(z	ψn(z	NOUN
ejpam-1206	443	4	)	)	PUNCT
ejpam-1206	443	5	:	:	PUNCT
ejpam-1206	444	1	=	=	SYM
ejpam-1206	444	2	∫	∫	PROPN
ejpam-1206	444	3	∞	∞	PROPN
ejpam-1206	444	4	−∞	−∞	X
ejpam-1206	444	5	exp	exp	NOUN
ejpam-1206	444	6	(	(	PUNCT
ejpam-1206	444	7	−t2n/2n)eiz	−t2n/2n)eiz	NOUN
ejpam-1206	444	8	t	t	NOUN
ejpam-1206	444	9	d	d	PROPN
ejpam-1206	444	10	t	t	PROPN
ejpam-1206	444	11	for	for	ADP
ejpam-1206	444	12	complex	complex	ADJ
ejpam-1206	444	13	z.	z.	PROPN
ejpam-1206	444	14	then	then	ADV
ejpam-1206	444	15	ψ1(z	ψ1(z	X
ejpam-1206	444	16	)	)	PUNCT
ejpam-1206	444	17	=	=	PUNCT
ejpam-1206	444	18	p	p	PROPN
ejpam-1206	444	19	2πexp	2πexp	PROPN
ejpam-1206	444	20	(	(	PUNCT
ejpam-1206	444	21	−z2/2	−z2/2	PROPN
ejpam-1206	444	22	)	)	PUNCT
ejpam-1206	444	23	has	have	VERB
ejpam-1206	444	24	no	no	DET
ejpam-1206	444	25	zeros	zero	NOUN
ejpam-1206	444	26	.	.	PUNCT
ejpam-1206	445	1	in	in	ADP
ejpam-1206	445	2	[	[	X
ejpam-1206	445	3	14	14	NUM
ejpam-1206	445	4	]	]	PUNCT
ejpam-1206	445	5	,	,	PUNCT
ejpam-1206	445	6	pólya	pólya	NOUN
ejpam-1206	445	7	proved	prove	VERB
ejpam-1206	445	8	that	that	SCONJ
ejpam-1206	445	9	for	for	ADP
ejpam-1206	445	10	n	n	PRON
ejpam-1206	445	11	≥	≥	NOUN
ejpam-1206	445	12	2	2	NUM
ejpam-1206	445	13	,	,	PUNCT
ejpam-1206	445	14	ψn(z	ψn(z	PUNCT
ejpam-1206	445	15	)	)	PUNCT
ejpam-1206	445	16	has	have	VERB
ejpam-1206	445	17	infinitely	infinitely	ADV
ejpam-1206	445	18	many	many	ADJ
ejpam-1206	445	19	zeros	zero	NOUN
ejpam-1206	445	20	all	all	PRON
ejpam-1206	445	21	of	of	ADP
ejpam-1206	445	22	which	which	PRON
ejpam-1206	445	23	are	be	AUX
ejpam-1206	445	24	real	real	ADJ
ejpam-1206	445	25	.	.	PUNCT
ejpam-1206	446	1	these	these	DET
ejpam-1206	446	2	results	result	NOUN
ejpam-1206	446	3	were	be	AUX
ejpam-1206	446	4	extended	extend	VERB
ejpam-1206	446	5	in	in	ADP
ejpam-1206	446	6	[	[	X
ejpam-1206	446	7	7	7	NUM
ejpam-1206	446	8	]	]	PUNCT
ejpam-1206	446	9	,	,	PUNCT
ejpam-1206	446	10	where	where	SCONJ
ejpam-1206	446	11	the	the	DET
ejpam-1206	446	12	following	follow	VERB
ejpam-1206	446	13	theorem	theorem	NOUN
ejpam-1206	446	14	was	be	AUX
ejpam-1206	446	15	established	establish	VERB
ejpam-1206	446	16	:	:	PUNCT
ejpam-1206	446	17	theorem	theorem	NOUN
ejpam-1206	446	18	2	2	NUM
ejpam-1206	446	19	.	.	X
ejpam-1206	446	20	for	for	ADP
ejpam-1206	446	21	k	k	PROPN
ejpam-1206	446	22	=	=	NOUN
ejpam-1206	446	23	0,1,2	0,1,2	PROPN
ejpam-1206	446	24	,	,	PUNCT
ejpam-1206	446	25	.	.	PUNCT
ejpam-1206	446	26	.	.	PUNCT
ejpam-1206	447	1	.	.	PUNCT
ejpam-1206	448	1	and	and	CCONJ
ejpam-1206	448	2	n=	n=	ADJ
ejpam-1206	448	3	1,2	1,2	NUM
ejpam-1206	448	4	,	,	PUNCT
ejpam-1206	448	5	.	.	PUNCT
ejpam-1206	448	6	.	.	PUNCT
ejpam-1206	449	1	.	.	PUNCT
ejpam-1206	450	1	all	all	DET
ejpam-1206	450	2	the	the	DET
ejpam-1206	450	3	zeros	zero	NOUN
ejpam-1206	450	4	of	of	ADP
ejpam-1206	450	5	ψ(k)n	ψ(k)n	PROPN
ejpam-1206	450	6	(	(	PUNCT
ejpam-1206	450	7	z	z	NOUN
ejpam-1206	450	8	)	)	PUNCT
ejpam-1206	450	9	are	be	AUX
ejpam-1206	450	10	real	real	ADJ
ejpam-1206	450	11	and	and	CCONJ
ejpam-1206	450	12	simple	simple	ADJ
ejpam-1206	450	13	.	.	PUNCT
ejpam-1206	451	1	then	then	ADV
ejpam-1206	451	2	,	,	PUNCT
ejpam-1206	451	3	from	from	ADP
ejpam-1206	451	4	(	(	PUNCT
ejpam-1206	451	5	2	2	NUM
ejpam-1206	451	6	)	)	PUNCT
ejpam-1206	451	7	,	,	PUNCT
ejpam-1206	451	8	some	some	DET
ejpam-1206	451	9	straightforward	straightforward	ADJ
ejpam-1206	451	10	rearrangement	rearrangement	NOUN
ejpam-1206	451	11	shows	show	VERB
ejpam-1206	451	12	that	that	DET
ejpam-1206	451	13	c2n,1(x	c2n,1(x	NOUN
ejpam-1206	451	14	;	;	PUNCT
ejpam-1206	451	15	2m+	2m+	NUM
ejpam-1206	451	16	1	1	NUM
ejpam-1206	451	17	)	)	PUNCT
ejpam-1206	451	18	=	=	SYM
ejpam-1206	451	19	1	1	NUM
ejpam-1206	451	20	2	2	NUM
ejpam-1206	451	21	∫	∫	NOUN
ejpam-1206	451	22	∞	∞	PROPN
ejpam-1206	451	23	−∞	−∞	ADP
ejpam-1206	451	24	t2	t2	PROPN
ejpam-1206	451	25	m	m	NOUN
ejpam-1206	451	26	exp	exp	NOUN
ejpam-1206	451	27	(	(	PUNCT
ejpam-1206	451	28	−t2n/2n)ei	−t2n/2n)ei	PROPN
ejpam-1206	451	29	x	x	SYM
ejpam-1206	451	30	t	t	PROPN
ejpam-1206	451	31	d	d	X
ejpam-1206	451	32	t	t	PROPN
ejpam-1206	451	33	=	=	SYM
ejpam-1206	451	34	(	(	PUNCT
ejpam-1206	451	35	−)m	−)m	NOUN
ejpam-1206	451	36	2	2	NUM
ejpam-1206	451	37	ψ(2	ψ(2	PROPN
ejpam-1206	451	38	m	m	NOUN
ejpam-1206	451	39	)	)	PUNCT
ejpam-1206	451	40	n	n	CCONJ
ejpam-1206	451	41	(	(	PUNCT
ejpam-1206	451	42	x	x	NOUN
ejpam-1206	451	43	)	)	PUNCT
ejpam-1206	451	44	and	and	CCONJ
ejpam-1206	451	45	s2n,1(x	s2n,1(x	NOUN
ejpam-1206	451	46	;	;	PUNCT
ejpam-1206	451	47	2m+	2m+	NUM
ejpam-1206	451	48	2	2	NUM
ejpam-1206	451	49	)	)	PUNCT
ejpam-1206	451	50	=	=	SYM
ejpam-1206	451	51	1	1	NUM
ejpam-1206	451	52	2i	2i	NUM
ejpam-1206	451	53	∫	∫	NOUN
ejpam-1206	451	54	∞	∞	PROPN
ejpam-1206	451	55	−∞	−∞	ADP
ejpam-1206	451	56	t2m+1	t2m+1	X
ejpam-1206	451	57	exp	exp	X
ejpam-1206	451	58	(	(	PUNCT
ejpam-1206	451	59	−t2n/2n)ei	−t2n/2n)ei	PROPN
ejpam-1206	451	60	x	x	SYM
ejpam-1206	451	61	t	t	PROPN
ejpam-1206	451	62	d	d	X
ejpam-1206	451	63	t	t	PROPN
ejpam-1206	451	64	=	=	SYM
ejpam-1206	451	65	(	(	PUNCT
ejpam-1206	451	66	−)m	−)m	NOUN
ejpam-1206	451	67	2	2	NUM
ejpam-1206	451	68	ψ(2m+1	ψ(2m+1	X
ejpam-1206	451	69	)	)	PUNCT
ejpam-1206	451	70	n	n	CCONJ
ejpam-1206	451	71	(	(	PUNCT
ejpam-1206	451	72	x	x	NOUN
ejpam-1206	451	73	)	)	PUNCT
ejpam-1206	451	74	.	.	PUNCT
ejpam-1206	452	1	it	it	PRON
ejpam-1206	452	2	then	then	ADV
ejpam-1206	452	3	follows	follow	VERB
ejpam-1206	452	4	from	from	ADP
ejpam-1206	452	5	the	the	DET
ejpam-1206	452	6	above	above	ADJ
ejpam-1206	452	7	theorem	theorem	NOUN
ejpam-1206	452	8	that	that	SCONJ
ejpam-1206	452	9	when	when	SCONJ
ejpam-1206	452	10	n	n	X
ejpam-1206	452	11	≥	≥	X
ejpam-1206	452	12	2	2	NUM
ejpam-1206	452	13	and	and	CCONJ
ejpam-1206	452	14	m	m	NOUN
ejpam-1206	452	15	=	=	NOUN
ejpam-1206	452	16	0,1,2	0,1,2	NUM
ejpam-1206	452	17	,	,	PUNCT
ejpam-1206	452	18	.	.	PUNCT
ejpam-1206	452	19	.	.	PUNCT
ejpam-1206	452	20	.	.	PUNCT
ejpam-1206	453	1	the	the	DET
ejpam-1206	453	2	zeros	zero	NOUN
ejpam-1206	453	3	of	of	ADP
ejpam-1206	453	4	c2n,1(x	c2n,1(x	NOUN
ejpam-1206	453	5	;	;	PUNCT
ejpam-1206	453	6	2m+	2m+	NUM
ejpam-1206	453	7	1	1	NUM
ejpam-1206	453	8	)	)	PUNCT
ejpam-1206	453	9	and	and	CCONJ
ejpam-1206	453	10	s2n,1(x	s2n,1(x	NOUN
ejpam-1206	453	11	;	;	PUNCT
ejpam-1206	453	12	2m+	2m+	NUM
ejpam-1206	453	13	2	2	NUM
ejpam-1206	453	14	)	)	PUNCT
ejpam-1206	453	15	are	be	AUX
ejpam-1206	453	16	all	all	ADV
ejpam-1206	453	17	real	real	ADJ
ejpam-1206	453	18	and	and	CCONJ
ejpam-1206	453	19	,	,	PUNCT
ejpam-1206	453	20	moreover	moreover	ADV
ejpam-1206	453	21	,	,	PUNCT
ejpam-1206	453	22	simple	simple	ADJ
ejpam-1206	453	23	.	.	PUNCT
ejpam-1206	454	1	references	reference	NOUN
ejpam-1206	454	2	[	[	X
ejpam-1206	454	3	1	1	NUM
ejpam-1206	454	4	]	]	PUNCT
ejpam-1206	454	5	n	n	PRON
ejpam-1206	454	6	g	g	PROPN
ejpam-1206	454	7	bakhoom	bakhoom	NOUN
ejpam-1206	454	8	.	.	PUNCT
ejpam-1206	455	1	asymptotic	asymptotic	ADJ
ejpam-1206	455	2	expansions	expansion	NOUN
ejpam-1206	455	3	of	of	ADP
ejpam-1206	455	4	the	the	DET
ejpam-1206	455	5	function	function	NOUN
ejpam-1206	455	6	fk(x	fk(x	NOUN
ejpam-1206	455	7	)	)	PUNCT
ejpam-1206	455	8	=	=	SYM
ejpam-1206	455	9	∫∞	∫∞	NOUN
ejpam-1206	455	10	0	0	PUNCT
ejpam-1206	455	11	exp(xu−uk	exp(xu−uk	PROPN
ejpam-1206	455	12	)	)	PUNCT
ejpam-1206	455	13	du	du	PROPN
ejpam-1206	455	14	,	,	PUNCT
ejpam-1206	455	15	proc	proc	NOUN
ejpam-1206	455	16	.	.	PUNCT
ejpam-1206	456	1	london	london	PROPN
ejpam-1206	456	2	math	math	PROPN
ejpam-1206	456	3	.	.	PUNCT
ejpam-1206	457	1	soc	soc	PROPN
ejpam-1206	457	2	.	.	PUNCT
ejpam-1206	458	1	35:83–100	35:83–100	NUM
ejpam-1206	458	2	,	,	PUNCT
ejpam-1206	458	3	1935	1935	NUM
ejpam-1206	458	4	.	.	PUNCT
ejpam-1206	459	1	[	[	X
ejpam-1206	459	2	2	2	NUM
ejpam-1206	459	3	]	]	SYM
ejpam-1206	459	4	b	b	NOUN
ejpam-1206	459	5	l	l	X
ejpam-1206	459	6	j	j	PROPN
ejpam-1206	459	7	braaksma	braaksma	PROPN
ejpam-1206	459	8	.	.	PUNCT
ejpam-1206	460	1	asymptotic	asymptotic	ADJ
ejpam-1206	460	2	expansions	expansion	NOUN
ejpam-1206	460	3	and	and	CCONJ
ejpam-1206	460	4	analytic	analytic	ADJ
ejpam-1206	460	5	continuations	continuation	NOUN
ejpam-1206	460	6	for	for	ADP
ejpam-1206	460	7	a	a	DET
ejpam-1206	460	8	class	class	NOUN
ejpam-1206	460	9	of	of	ADP
ejpam-1206	460	10	barnes	barnes	PROPN
ejpam-1206	460	11	integrals	integrals	PROPN
ejpam-1206	460	12	,	,	PUNCT
ejpam-1206	460	13	compos	compos	PROPN
ejpam-1206	460	14	.	.	PUNCT
ejpam-1206	461	1	math	math	NOUN
ejpam-1206	461	2	.	.	PUNCT
ejpam-1206	462	1	15:239–341	15:239–341	NUM
ejpam-1206	462	2	,	,	PUNCT
ejpam-1206	462	3	1963	1963	NUM
ejpam-1206	462	4	.	.	PUNCT
ejpam-1206	463	1	[	[	X
ejpam-1206	463	2	3	3	NUM
ejpam-1206	463	3	]	]	X
ejpam-1206	463	4	l	l	NOUN
ejpam-1206	463	5	brillouin	brillouin	NOUN
ejpam-1206	463	6	.	.	PUNCT
ejpam-1206	464	1	sur	sur	PROPN
ejpam-1206	464	2	une	une	PROPN
ejpam-1206	464	3	méthode	méthode	PROPN
ejpam-1206	464	4	de	de	PROPN
ejpam-1206	464	5	calcul	calcul	PROPN
ejpam-1206	464	6	approchée	approchée	PROPN
ejpam-1206	464	7	de	de	PROPN
ejpam-1206	464	8	certaines	certaines	PROPN
ejpam-1206	464	9	intégrales	intégrale	NOUN
ejpam-1206	464	10	,	,	PUNCT
ejpam-1206	464	11	dite	dite	PROPN
ejpam-1206	464	12	méthode	méthode	PROPN
ejpam-1206	464	13	de	de	PROPN
ejpam-1206	464	14	col	col	PROPN
ejpam-1206	464	15	,	,	PUNCT
ejpam-1206	464	16	ann	ann	PROPN
ejpam-1206	464	17	.	.	PUNCT
ejpam-1206	464	18	sci	sci	PROPN
ejpam-1206	464	19	.	.	PROPN
ejpam-1206	464	20	école	école	PROPN
ejpam-1206	464	21	norm	norm	PROPN
ejpam-1206	464	22	.	.	PUNCT
ejpam-1206	465	1	sup	sup	NOUN
ejpam-1206	465	2	.	.	PUNCT
ejpam-1206	466	1	33:17–69	33:17–69	NUM
ejpam-1206	466	2	,	,	PUNCT
ejpam-1206	466	3	1916	1916	NUM
ejpam-1206	466	4	.	.	PUNCT
ejpam-1206	467	1	references	reference	NOUN
ejpam-1206	467	2	281	281	NUM
ejpam-1206	467	3	[	[	X
ejpam-1206	467	4	4	4	NUM
ejpam-1206	467	5	]	]	PUNCT
ejpam-1206	467	6	n	n	CCONJ
ejpam-1206	467	7	g	g	PROPN
ejpam-1206	467	8	de	de	PROPN
ejpam-1206	467	9	bruijn	bruijn	PROPN
ejpam-1206	467	10	.	.	PUNCT
ejpam-1206	468	1	the	the	DET
ejpam-1206	468	2	roots	root	NOUN
ejpam-1206	468	3	of	of	ADP
ejpam-1206	468	4	trigonometric	trigonometric	ADJ
ejpam-1206	468	5	integrals	integral	NOUN
ejpam-1206	468	6	,	,	PUNCT
ejpam-1206	468	7	duke	duke	PROPN
ejpam-1206	468	8	math	math	PROPN
ejpam-1206	468	9	.	.	PUNCT
ejpam-1206	469	1	j.	j.	PROPN
ejpam-1206	469	2	17:197–226	17:197–226	PROPN
ejpam-1206	469	3	,	,	PUNCT
ejpam-1206	469	4	1950	1950	NUM
ejpam-1206	469	5	.	.	PUNCT
ejpam-1206	470	1	[	[	X
ejpam-1206	470	2	5	5	NUM
ejpam-1206	470	3	]	]	SYM
ejpam-1206	470	4	w	w	NOUN
ejpam-1206	470	5	r	r	NOUN
ejpam-1206	470	6	burwell	burwell	PROPN
ejpam-1206	470	7	.	.	PUNCT
ejpam-1206	471	1	asymptotic	asymptotic	ADJ
ejpam-1206	471	2	expansions	expansion	NOUN
ejpam-1206	471	3	of	of	ADP
ejpam-1206	471	4	generalized	generalized	ADJ
ejpam-1206	471	5	hypergeometric	hypergeometric	ADJ
ejpam-1206	471	6	functions	function	NOUN
ejpam-1206	471	7	,	,	PUNCT
ejpam-1206	471	8	proc	proc	NOUN
ejpam-1206	471	9	.	.	PUNCT
ejpam-1206	472	1	london	london	PROPN
ejpam-1206	472	2	math	math	PROPN
ejpam-1206	472	3	.	.	PUNCT
ejpam-1206	473	1	soc	soc	PROPN
ejpam-1206	473	2	.	.	PUNCT
ejpam-1206	474	1	22:57–72	22:57–72	NUM
ejpam-1206	474	2	,	,	PUNCT
ejpam-1206	474	3	1924	1924	NUM
ejpam-1206	474	4	.	.	PUNCT
ejpam-1206	475	1	[	[	X
ejpam-1206	475	2	6	6	NUM
ejpam-1206	475	3	]	]	X
ejpam-1206	475	4	d	d	X
ejpam-1206	475	5	a	a	DET
ejpam-1206	475	6	cardon	cardon	PROPN
ejpam-1206	475	7	.	.	PUNCT
ejpam-1206	475	8	fourier	fourier	PROPN
ejpam-1206	475	9	transforms	transform	VERB
ejpam-1206	475	10	having	have	VERB
ejpam-1206	475	11	only	only	ADV
ejpam-1206	475	12	real	real	ADJ
ejpam-1206	475	13	zeros	zero	NOUN
ejpam-1206	475	14	,	,	PUNCT
ejpam-1206	475	15	proc	proc	NOUN
ejpam-1206	475	16	.	.	PUNCT
ejpam-1206	476	1	amer	amer	PROPN
ejpam-1206	476	2	.	.	PUNCT
ejpam-1206	476	3	math	math	PROPN
ejpam-1206	476	4	.	.	PUNCT
ejpam-1206	477	1	soc	soc	PROPN
ejpam-1206	477	2	.	.	PUNCT
ejpam-1206	478	1	133:1349–1356	133:1349–1356	NOUN
ejpam-1206	478	2	,	,	PUNCT
ejpam-1206	478	3	2004	2004	NUM
ejpam-1206	478	4	.	.	PUNCT
ejpam-1206	479	1	[	[	X
ejpam-1206	479	2	7	7	NUM
ejpam-1206	479	3	]	]	X
ejpam-1206	479	4	j	j	PROPN
ejpam-1206	479	5	kamimoto	kamimoto	NOUN
ejpam-1206	479	6	,	,	PUNCT
ejpam-1206	479	7	h	h	NOUN
ejpam-1206	479	8	ki	ki	PROPN
ejpam-1206	479	9	and	and	CCONJ
ejpam-1206	479	10	y	y	PROPN
ejpam-1206	479	11	-	-	PROPN
ejpam-1206	479	12	o	o	X
ejpam-1206	479	13	kim	kim	PROPN
ejpam-1206	479	14	.	.	PUNCT
ejpam-1206	480	1	on	on	ADP
ejpam-1206	480	2	the	the	DET
ejpam-1206	480	3	multiplicities	multiplicity	NOUN
ejpam-1206	480	4	of	of	ADP
ejpam-1206	480	5	the	the	DET
ejpam-1206	480	6	zeros	zero	NOUN
ejpam-1206	480	7	of	of	ADP
ejpam-1206	480	8	laguerre	laguerre	NOUN
ejpam-1206	480	9	–	–	PUNCT
ejpam-1206	480	10	pólya	pólya	NOUN
ejpam-1206	480	11	functions	function	NOUN
ejpam-1206	480	12	,	,	PUNCT
ejpam-1206	480	13	proc	proc	NOUN
ejpam-1206	480	14	.	.	PUNCT
ejpam-1206	481	1	amer	amer	PROPN
ejpam-1206	481	2	.	.	PUNCT
ejpam-1206	481	3	math	math	PROPN
ejpam-1206	481	4	.	.	PUNCT
ejpam-1206	482	1	soc	soc	PROPN
ejpam-1206	482	2	.	.	PUNCT
ejpam-1206	483	1	128:189–194	128:189–194	NUM
ejpam-1206	483	2	,	,	PUNCT
ejpam-1206	483	3	1999	1999	NUM
ejpam-1206	483	4	.	.	PUNCT
ejpam-1206	484	1	[	[	X
ejpam-1206	484	2	8	8	NUM
ejpam-1206	484	3	]	]	X
ejpam-1206	484	4	h	h	NOUN
ejpam-1206	484	5	ki	ki	PROPN
ejpam-1206	484	6	and	and	CCONJ
ejpam-1206	484	7	y	y	PROPN
ejpam-1206	484	8	-	-	PROPN
ejpam-1206	484	9	o	o	X
ejpam-1206	484	10	kim	kim	PROPN
ejpam-1206	484	11	.	.	PUNCT
ejpam-1206	485	1	the	the	DET
ejpam-1206	485	2	zero	zero	NUM
ejpam-1206	485	3	-	-	PUNCT
ejpam-1206	485	4	distribution	distribution	NOUN
ejpam-1206	485	5	and	and	CCONJ
ejpam-1206	485	6	the	the	DET
ejpam-1206	485	7	asymptotic	asymptotic	ADJ
ejpam-1206	485	8	behavior	behavior	NOUN
ejpam-1206	485	9	of	of	ADP
ejpam-1206	485	10	a	a	DET
ejpam-1206	485	11	fourier	fourier	NOUN
ejpam-1206	485	12	integral	integral	NOUN
ejpam-1206	485	13	,	,	PUNCT
ejpam-1206	485	14	j.	j.	PROPN
ejpam-1206	485	15	korean	korean	PROPN
ejpam-1206	485	16	math	math	PROPN
ejpam-1206	485	17	.	.	PUNCT
ejpam-1206	486	1	soc	soc	PROPN
ejpam-1206	486	2	.	.	PUNCT
ejpam-1206	487	1	44:455–466	44:455–466	NUM
ejpam-1206	487	2	,	,	PUNCT
ejpam-1206	487	3	2007	2007	NUM
ejpam-1206	487	4	.	.	PUNCT
ejpam-1206	488	1	[	[	X
ejpam-1206	488	2	9	9	NUM
ejpam-1206	488	3	]	]	X
ejpam-1206	488	4	r	r	NOUN
ejpam-1206	488	5	b	b	PROPN
ejpam-1206	488	6	paris	paris	PROPN
ejpam-1206	488	7	.	.	PUNCT
ejpam-1206	489	1	smoothing	smooth	VERB
ejpam-1206	489	2	of	of	ADP
ejpam-1206	489	3	the	the	DET
ejpam-1206	489	4	stokes	stoke	NOUN
ejpam-1206	489	5	phenomenon	phenomenon	NOUN
ejpam-1206	489	6	for	for	ADP
ejpam-1206	489	7	high	high	ADJ
ejpam-1206	489	8	-	-	PUNCT
ejpam-1206	489	9	order	order	NOUN
ejpam-1206	489	10	differential	differential	ADJ
ejpam-1206	489	11	equations	equation	NOUN
ejpam-1206	489	12	,	,	PUNCT
ejpam-1206	489	13	proc	proc	NOUN
ejpam-1206	489	14	.	.	PUNCT
ejpam-1206	490	1	roy	roy	PROPN
ejpam-1206	490	2	.	.	PROPN
ejpam-1206	490	3	soc	soc	PROPN
ejpam-1206	490	4	.	.	PUNCT
ejpam-1206	491	1	london	london	PROPN
ejpam-1206	491	2	436a:165–186	436a:165–186	PROPN
ejpam-1206	491	3	,	,	PUNCT
ejpam-1206	491	4	1992	1992	NUM
ejpam-1206	491	5	.	.	PUNCT
ejpam-1206	492	1	[	[	X
ejpam-1206	492	2	10	10	NUM
ejpam-1206	492	3	]	]	X
ejpam-1206	492	4	r	r	NOUN
ejpam-1206	492	5	b	b	PROPN
ejpam-1206	492	6	paris	paris	PROPN
ejpam-1206	492	7	.	.	PUNCT
ejpam-1206	493	1	exponentially	exponentially	ADV
ejpam-1206	493	2	small	small	ADJ
ejpam-1206	493	3	expansions	expansion	NOUN
ejpam-1206	493	4	in	in	ADP
ejpam-1206	493	5	the	the	DET
ejpam-1206	493	6	asymptotics	asymptotic	NOUN
ejpam-1206	493	7	of	of	ADP
ejpam-1206	493	8	the	the	DET
ejpam-1206	493	9	wright	wright	PROPN
ejpam-1206	493	10	function	function	PROPN
ejpam-1206	493	11	,	,	PUNCT
ejpam-1206	493	12	j.	j.	PROPN
ejpam-1206	493	13	comp	comp	PROPN
ejpam-1206	493	14	.	.	PUNCT
ejpam-1206	494	1	appl	appl	PROPN
ejpam-1206	494	2	.	.	PROPN
ejpam-1206	494	3	math	math	NOUN
ejpam-1206	494	4	.	.	PUNCT
ejpam-1206	495	1	234:488–504	234:488–504	NUM
ejpam-1206	495	2	,	,	PUNCT
ejpam-1206	495	3	2010	2010	NUM
ejpam-1206	495	4	.	.	PUNCT
ejpam-1206	496	1	[	[	X
ejpam-1206	496	2	11	11	NUM
ejpam-1206	496	3	]	]	X
ejpam-1206	496	4	r	r	NOUN
ejpam-1206	496	5	b	b	PROPN
ejpam-1206	496	6	paris	paris	PROPN
ejpam-1206	496	7	and	and	CCONJ
ejpam-1206	496	8	a	a	DET
ejpam-1206	496	9	d	d	NOUN
ejpam-1206	496	10	wood	wood	NOUN
ejpam-1206	496	11	.	.	PUNCT
ejpam-1206	497	1	on	on	ADP
ejpam-1206	497	2	the	the	DET
ejpam-1206	497	3	asymptotic	asymptotic	ADJ
ejpam-1206	497	4	expansions	expansion	NOUN
ejpam-1206	497	5	of	of	ADP
ejpam-1206	497	6	solutions	solution	NOUN
ejpam-1206	497	7	of	of	ADP
ejpam-1206	497	8	an	an	DET
ejpam-1206	497	9	nth	nth	NOUN
ejpam-1206	497	10	order	order	NOUN
ejpam-1206	497	11	linear	linear	NOUN
ejpam-1206	497	12	differential	differential	ADJ
ejpam-1206	497	13	equation	equation	NOUN
ejpam-1206	497	14	with	with	ADP
ejpam-1206	497	15	power	power	NOUN
ejpam-1206	497	16	coefficients	coefficient	NOUN
ejpam-1206	497	17	,	,	PUNCT
ejpam-1206	497	18	proc	proc	NOUN
ejpam-1206	497	19	.	.	PUNCT
ejpam-1206	498	1	roy	roy	PROPN
ejpam-1206	498	2	.	.	PROPN
ejpam-1206	498	3	irish	irish	PROPN
ejpam-1206	498	4	acad	acad	PROPN
ejpam-1206	498	5	.	.	PUNCT
ejpam-1206	499	1	85a:201–220	85a:201–220	NOUN
ejpam-1206	499	2	,	,	PUNCT
ejpam-1206	499	3	1985	1985	NUM
ejpam-1206	499	4	.	.	PUNCT
ejpam-1206	500	1	[	[	X
ejpam-1206	500	2	12	12	NUM
ejpam-1206	500	3	]	]	X
ejpam-1206	500	4	r	r	NOUN
ejpam-1206	500	5	b	b	PROPN
ejpam-1206	500	6	paris	paris	PROPN
ejpam-1206	500	7	and	and	CCONJ
ejpam-1206	500	8	a	a	DET
ejpam-1206	500	9	d	d	NOUN
ejpam-1206	500	10	wood	wood	NOUN
ejpam-1206	500	11	.	.	PUNCT
ejpam-1206	501	1	asymptotics	asymptotic	NOUN
ejpam-1206	501	2	of	of	ADP
ejpam-1206	501	3	high	high	ADJ
ejpam-1206	501	4	order	order	NOUN
ejpam-1206	501	5	differential	differential	NOUN
ejpam-1206	501	6	equations	equation	NOUN
ejpam-1206	501	7	,	,	PUNCT
ejpam-1206	501	8	pitman	pitman	NOUN
ejpam-1206	501	9	research	research	NOUN
ejpam-1206	501	10	notes	note	NOUN
ejpam-1206	501	11	in	in	ADP
ejpam-1206	501	12	mathematics	mathematic	NOUN
ejpam-1206	501	13	,	,	PUNCT
ejpam-1206	501	14	129	129	NUM
ejpam-1206	501	15	,	,	PUNCT
ejpam-1206	501	16	longman	longman	NOUN
ejpam-1206	501	17	scientific	scientific	ADJ
ejpam-1206	501	18	and	and	CCONJ
ejpam-1206	501	19	technical	technical	ADJ
ejpam-1206	501	20	,	,	PUNCT
ejpam-1206	501	21	harlow	harlow	NOUN
ejpam-1206	501	22	,	,	PUNCT
ejpam-1206	501	23	1986	1986	NUM
ejpam-1206	501	24	.	.	PUNCT
ejpam-1206	502	1	[	[	X
ejpam-1206	502	2	13	13	NUM
ejpam-1206	502	3	]	]	X
ejpam-1206	502	4	r	r	NOUN
ejpam-1206	502	5	b	b	PROPN
ejpam-1206	502	6	paris	paris	PROPN
ejpam-1206	502	7	and	and	CCONJ
ejpam-1206	502	8	d	d	PROPN
ejpam-1206	502	9	kaminski	kaminski	PROPN
ejpam-1206	502	10	.	.	PUNCT
ejpam-1206	503	1	asymptotics	asymptotic	NOUN
ejpam-1206	503	2	and	and	CCONJ
ejpam-1206	503	3	mellin	mellin	PROPN
ejpam-1206	503	4	-	-	PUNCT
ejpam-1206	503	5	barnes	barnes	PROPN
ejpam-1206	503	6	integrals	integral	NOUN
ejpam-1206	503	7	,	,	PUNCT
ejpam-1206	503	8	cambridge	cambridge	PROPN
ejpam-1206	503	9	university	university	PROPN
ejpam-1206	503	10	press	press	PROPN
ejpam-1206	503	11	,	,	PUNCT
ejpam-1206	503	12	cambridge	cambridge	PROPN
ejpam-1206	503	13	,	,	PUNCT
ejpam-1206	503	14	2001	2001	NUM
ejpam-1206	503	15	.	.	PUNCT
ejpam-1206	504	1	[	[	X
ejpam-1206	504	2	14	14	NUM
ejpam-1206	504	3	]	]	X
ejpam-1206	504	4	g	g	NOUN
ejpam-1206	504	5	pólya	pólya	NOUN
ejpam-1206	504	6	.	.	PUNCT
ejpam-1206	505	1	über	über	PROPN
ejpam-1206	505	2	trigonometrische	trigonometrische	PROPN
ejpam-1206	505	3	integrale	integrale	PROPN
ejpam-1206	505	4	mit	mit	PROPN
ejpam-1206	505	5	nur	nur	PROPN
ejpam-1206	505	6	reellen	reellen	VERB
ejpam-1206	505	7	nullstellen	nullstellen	PROPN
ejpam-1206	505	8	,	,	PUNCT
ejpam-1206	505	9	j.	j.	PROPN
ejpam-1206	505	10	reine	reine	PROPN
ejpam-1206	505	11	angew	angew	PROPN
ejpam-1206	505	12	.	.	PUNCT
ejpam-1206	506	1	math	math	NOUN
ejpam-1206	506	2	.	.	PUNCT
ejpam-1206	507	1	158:6–18	158:6–18	NUM
ejpam-1206	507	2	,	,	PUNCT
ejpam-1206	507	3	1927	1927	NUM
ejpam-1206	507	4	.	.	PUNCT
ejpam-1206	508	1	[	[	X
ejpam-1206	508	2	15	15	NUM
ejpam-1206	508	3	]	]	X
ejpam-1206	508	4	d	d	NOUN
ejpam-1206	508	5	senouf	senouf	NOUN
ejpam-1206	508	6	.	.	PUNCT
ejpam-1206	509	1	asymptotic	asymptotic	ADJ
ejpam-1206	509	2	and	and	CCONJ
ejpam-1206	509	3	numerical	numerical	ADJ
ejpam-1206	509	4	approximations	approximation	NOUN
ejpam-1206	509	5	of	of	ADP
ejpam-1206	509	6	the	the	DET
ejpam-1206	509	7	zeros	zero	NOUN
ejpam-1206	509	8	of	of	ADP
ejpam-1206	509	9	fourier	fourier	NOUN
ejpam-1206	509	10	integrals	integral	NOUN
ejpam-1206	509	11	,	,	PUNCT
ejpam-1206	509	12	siam	siam	PROPN
ejpam-1206	509	13	j.	j.	PROPN
ejpam-1206	509	14	math	math	PROPN
ejpam-1206	509	15	.	.	PUNCT
ejpam-1206	510	1	anal	anal	PROPN
ejpam-1206	510	2	.	.	PUNCT
ejpam-1206	511	1	27:1102–1128	27:1102–1128	NUM
ejpam-1206	511	2	,	,	PUNCT
ejpam-1206	511	3	1996	1996	NUM
ejpam-1206	511	4	.	.	PUNCT
ejpam-1206	512	1	[	[	X
ejpam-1206	512	2	16	16	NUM
ejpam-1206	512	3	]	]	PUNCT
ejpam-1206	512	4	l	l	PROPN
ejpam-1206	512	5	j	j	PROPN
ejpam-1206	512	6	slater	slater	PROPN
ejpam-1206	512	7	.	.	PUNCT
ejpam-1206	513	1	generalized	generalize	VERB
ejpam-1206	513	2	hypergeometric	hypergeometric	ADJ
ejpam-1206	513	3	functions	function	NOUN
ejpam-1206	513	4	,	,	PUNCT
ejpam-1206	513	5	cambridge	cambridge	PROPN
ejpam-1206	513	6	university	university	PROPN
ejpam-1206	513	7	press	press	PROPN
ejpam-1206	513	8	,	,	PUNCT
ejpam-1206	513	9	cambridge	cambridge	PROPN
ejpam-1206	513	10	,	,	PUNCT
ejpam-1206	513	11	1966	1966	NUM
ejpam-1206	513	12	.	.	PUNCT
ejpam-1206	514	1	[	[	X
ejpam-1206	514	2	17	17	NUM
ejpam-1206	514	3	]	]	PUNCT
ejpam-1206	514	4	s	s	PART
ejpam-1206	514	5	spitzer	spitzer	NOUN
ejpam-1206	514	6	.	.	PUNCT
ejpam-1206	515	1	integration	integration	NOUN
ejpam-1206	515	2	der	der	PROPN
ejpam-1206	515	3	linearen	linearen	PROPN
ejpam-1206	515	4	differentialgleichung	differentialgleichung	VERB
ejpam-1206	515	5	y(n	y(n	PRON
ejpam-1206	515	6	)	)	PUNCT
ejpam-1206	516	1	=	=	PUNCT
ejpam-1206	516	2	ax2	ax2	NOUN
ejpam-1206	516	3	y	y	PROPN
ejpam-1206	516	4	′′	′′	PROPN
ejpam-1206	516	5	+	+	CCONJ
ejpam-1206	516	6	bx	bx	VERB
ejpam-1206	516	7	y	y	NOUN
ejpam-1206	516	8	′	′	NUM
ejpam-1206	517	1	+	+	CCONJ
ejpam-1206	518	1	c	c	NOUN
ejpam-1206	518	2	y	y	NOUN
ejpam-1206	518	3	,	,	PUNCT
ejpam-1206	518	4	in	in	ADP
ejpam-1206	518	5	welcher	welcher	NOUN
ejpam-1206	518	6	n	n	PROPN
ejpam-1206	518	7	eine	eine	PROPN
ejpam-1206	518	8	ganze	ganze	PROPN
ejpam-1206	518	9	positive	positive	PROPN
ejpam-1206	518	10	zahl	zahl	PROPN
ejpam-1206	518	11	und	und	VERB
ejpam-1206	518	12	a	a	DET
ejpam-1206	518	13	,	,	PUNCT
ejpam-1206	518	14	b	b	NOUN
ejpam-1206	518	15	,	,	PUNCT
ejpam-1206	518	16	c	c	PROPN
ejpam-1206	518	17	constante	constante	PROPN
ejpam-1206	518	18	zahlen	zahlen	PROPN
ejpam-1206	518	19	bezeichnen	bezeichnen	NOUN
ejpam-1206	518	20	,	,	PUNCT
ejpam-1206	518	21	mittelst	mittelst	NOUN
ejpam-1206	518	22	bestimmter	bestimmter	VERB
ejpam-1206	518	23	integrale	integrale	NOUN
ejpam-1206	518	24	,	,	PUNCT
ejpam-1206	518	25	math	math	NOUN
ejpam-1206	518	26	.	.	PUNCT
ejpam-1206	519	1	ann	ann	PROPN
ejpam-1206	519	2	.	.	PUNCT
ejpam-1206	520	1	3:453–455	3:453–455	NUM
ejpam-1206	520	2	,	,	PUNCT
ejpam-1206	520	3	1871	1871	NUM
ejpam-1206	520	4	.	.	PUNCT
ejpam-1206	521	1	[	[	X
ejpam-1206	521	2	18	18	NUM
ejpam-1206	521	3	]	]	X
ejpam-1206	521	4	e	e	PROPN
ejpam-1206	521	5	m	m	PROPN
ejpam-1206	521	6	wright	wright	PROPN
ejpam-1206	521	7	.	.	PUNCT
ejpam-1206	522	1	the	the	DET
ejpam-1206	522	2	asymptotic	asymptotic	ADJ
ejpam-1206	522	3	expansion	expansion	NOUN
ejpam-1206	522	4	of	of	ADP
ejpam-1206	522	5	the	the	DET
ejpam-1206	522	6	generalized	generalized	ADJ
ejpam-1206	522	7	hypergeometric	hypergeometric	ADJ
ejpam-1206	522	8	function	function	NOUN
ejpam-1206	522	9	,	,	PUNCT
ejpam-1206	522	10	proc	proc	NOUN
ejpam-1206	522	11	.	.	PUNCT
ejpam-1206	523	1	lond	lond	PROPN
ejpam-1206	523	2	.	.	PUNCT
ejpam-1206	524	1	math	math	NOUN
ejpam-1206	524	2	.	.	PUNCT
ejpam-1206	525	1	soc	soc	PROPN
ejpam-1206	525	2	.	.	PUNCT
ejpam-1206	526	1	(	(	PUNCT
ejpam-1206	526	2	ser	ser	NOUN
ejpam-1206	526	3	.	.	PROPN
ejpam-1206	526	4	2	2	NUM
ejpam-1206	526	5	)	)	PUNCT
ejpam-1206	526	6	46:389–408	46:389–408	PROPN
ejpam-1206	526	7	,	,	PUNCT
ejpam-1206	526	8	1940	1940	NUM
ejpam-1206	526	9	.	.	PUNCT