id	sid	tid	token	lemma	pos
ejpam-3222	1	1	european	european	PROPN
ejpam-3222	1	2	journal	journal	PROPN
ejpam-3222	1	3	of	of	ADP
ejpam-3222	1	4	pure	pure	ADJ
ejpam-3222	1	5	and	and	CCONJ
ejpam-3222	1	6	applied	apply	VERB
ejpam-3222	1	7	mathematics	mathematic	NOUN
ejpam-3222	1	8	vol	vol	NOUN
ejpam-3222	1	9	.	.	PUNCT
ejpam-3222	2	1	11	11	NUM
ejpam-3222	2	2	,	,	PUNCT
ejpam-3222	2	3	no	no	INTJ
ejpam-3222	2	4	.	.	NOUN
ejpam-3222	2	5	1	1	NUM
ejpam-3222	2	6	,	,	PUNCT
ejpam-3222	2	7	2018	2018	NUM
ejpam-3222	2	8	,	,	PUNCT
ejpam-3222	2	9	1	1	NUM
ejpam-3222	2	10	-	-	SYM
ejpam-3222	2	11	9	9	NUM
ejpam-3222	2	12	issn	issn	PROPN
ejpam-3222	2	13	1307	1307	NUM
ejpam-3222	2	14	-	-	SYM
ejpam-3222	2	15	5543	5543	NUM
ejpam-3222	2	16	–	–	PUNCT
ejpam-3222	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3222	2	18	published	publish	VERB
ejpam-3222	2	19	by	by	ADP
ejpam-3222	2	20	new	new	PROPN
ejpam-3222	2	21	york	york	PROPN
ejpam-3222	2	22	business	business	PROPN
ejpam-3222	2	23	global	global	PROPN
ejpam-3222	2	24	invited	invite	VERB
ejpam-3222	2	25	paper	paper	NOUN
ejpam-3222	2	26	some	some	DET
ejpam-3222	2	27	theta	theta	NOUN
ejpam-3222	2	28	-	-	PUNCT
ejpam-3222	2	29	function	function	NOUN
ejpam-3222	2	30	identities	identity	NOUN
ejpam-3222	2	31	related	relate	VERB
ejpam-3222	2	32	to	to	ADP
ejpam-3222	2	33	jacobi	jacobi	PROPN
ejpam-3222	2	34	’s	’s	PART
ejpam-3222	2	35	triple	triple	ADJ
ejpam-3222	2	36	-	-	PUNCT
ejpam-3222	2	37	product	product	NOUN
ejpam-3222	2	38	identity	identity	NOUN
ejpam-3222	2	39	h.	h.	PROPN
ejpam-3222	2	40	m.	m.	PROPN
ejpam-3222	2	41	srivastava1,2,∗	srivastava1,2,∗	PROPN
ejpam-3222	2	42	,	,	PUNCT
ejpam-3222	2	43	m.	m.	NOUN
ejpam-3222	2	44	p.	p.	NOUN
ejpam-3222	2	45	chaudhary3	chaudhary3	PROPN
ejpam-3222	3	1	and	and	CCONJ
ejpam-3222	3	2	sangeeta	sangeeta	PROPN
ejpam-3222	3	3	chaudhary4	chaudhary4	PROPN
ejpam-3222	3	4	1	1	NUM
ejpam-3222	3	5	department	department	NOUN
ejpam-3222	3	6	of	of	ADP
ejpam-3222	3	7	mathematics	mathematic	NOUN
ejpam-3222	3	8	and	and	CCONJ
ejpam-3222	3	9	statistics	statistic	NOUN
ejpam-3222	3	10	,	,	PUNCT
ejpam-3222	3	11	university	university	PROPN
ejpam-3222	3	12	of	of	ADP
ejpam-3222	3	13	victoria	victoria	PROPN
ejpam-3222	3	14	,	,	PUNCT
ejpam-3222	3	15	victoria	victoria	PROPN
ejpam-3222	3	16	,	,	PUNCT
ejpam-3222	3	17	british	british	PROPN
ejpam-3222	3	18	columbia	columbia	PROPN
ejpam-3222	3	19	v8w	v8w	ADP
ejpam-3222	3	20	3r4	3r4	NUM
ejpam-3222	3	21	,	,	PUNCT
ejpam-3222	3	22	canada	canada	PROPN
ejpam-3222	3	23	2	2	NUM
ejpam-3222	3	24	department	department	NOUN
ejpam-3222	3	25	of	of	ADP
ejpam-3222	3	26	medical	medical	ADJ
ejpam-3222	3	27	research	research	NOUN
ejpam-3222	3	28	,	,	PUNCT
ejpam-3222	3	29	china	china	PROPN
ejpam-3222	3	30	medical	medical	PROPN
ejpam-3222	3	31	university	university	PROPN
ejpam-3222	3	32	hospital	hospital	NOUN
ejpam-3222	3	33	,	,	PUNCT
ejpam-3222	3	34	china	china	PROPN
ejpam-3222	3	35	medical	medical	PROPN
ejpam-3222	3	36	university	university	PROPN
ejpam-3222	3	37	,	,	PUNCT
ejpam-3222	3	38	taichung	taichung	PROPN
ejpam-3222	3	39	40402	40402	NUM
ejpam-3222	3	40	,	,	PUNCT
ejpam-3222	3	41	taiwan	taiwan	PROPN
ejpam-3222	3	42	,	,	PUNCT
ejpam-3222	3	43	republic	republic	NOUN
ejpam-3222	3	44	of	of	ADP
ejpam-3222	3	45	china	china	PROPN
ejpam-3222	3	46	3	3	NUM
ejpam-3222	3	47	former	former	ADJ
ejpam-3222	3	48	researcher	researcher	NOUN
ejpam-3222	3	49	,	,	PUNCT
ejpam-3222	3	50	department	department	NOUN
ejpam-3222	3	51	of	of	ADP
ejpam-3222	3	52	applied	apply	VERB
ejpam-3222	3	53	sciences	science	NOUN
ejpam-3222	3	54	and	and	CCONJ
ejpam-3222	3	55	humanities	humanity	NOUN
ejpam-3222	3	56	,	,	PUNCT
ejpam-3222	3	57	jamia	jamia	PROPN
ejpam-3222	3	58	millia	millia	PROPN
ejpam-3222	3	59	islamia	islamia	PROPN
ejpam-3222	3	60	,	,	PUNCT
ejpam-3222	3	61	new	new	ADJ
ejpam-3222	3	62	delhi	delhi	PROPN
ejpam-3222	3	63	110025	110025	NUM
ejpam-3222	3	64	,	,	PUNCT
ejpam-3222	3	65	india	india	PROPN
ejpam-3222	3	66	4	4	NUM
ejpam-3222	3	67	school	school	NOUN
ejpam-3222	3	68	of	of	ADP
ejpam-3222	3	69	computational	computational	ADJ
ejpam-3222	3	70	and	and	CCONJ
ejpam-3222	3	71	integrative	integrative	ADJ
ejpam-3222	3	72	sciences	science	NOUN
ejpam-3222	3	73	,	,	PUNCT
ejpam-3222	3	74	jawaharlal	jawaharlal	PROPN
ejpam-3222	3	75	nehru	nehru	PROPN
ejpam-3222	3	76	university	university	PROPN
ejpam-3222	3	77	new	new	ADJ
ejpam-3222	3	78	delhi	delhi	PROPN
ejpam-3222	3	79	110067	110067	NUM
ejpam-3222	3	80	,	,	PUNCT
ejpam-3222	3	81	india	india	PROPN
ejpam-3222	3	82	abstract	abstract	NOUN
ejpam-3222	3	83	.	.	PUNCT
ejpam-3222	4	1	the	the	DET
ejpam-3222	4	2	main	main	ADJ
ejpam-3222	4	3	object	object	NOUN
ejpam-3222	4	4	of	of	ADP
ejpam-3222	4	5	this	this	DET
ejpam-3222	4	6	paper	paper	NOUN
ejpam-3222	4	7	is	be	AUX
ejpam-3222	4	8	to	to	PART
ejpam-3222	4	9	present	present	VERB
ejpam-3222	4	10	some	some	DET
ejpam-3222	4	11	q	q	NOUN
ejpam-3222	4	12	-	-	PUNCT
ejpam-3222	4	13	identities	identity	NOUN
ejpam-3222	4	14	involving	involve	VERB
ejpam-3222	4	15	some	some	PRON
ejpam-3222	4	16	of	of	ADP
ejpam-3222	4	17	the	the	DET
ejpam-3222	4	18	theta	theta	NOUN
ejpam-3222	4	19	functions	function	NOUN
ejpam-3222	4	20	of	of	ADP
ejpam-3222	4	21	jacobi	jacobi	PROPN
ejpam-3222	4	22	and	and	CCONJ
ejpam-3222	4	23	ramanujan	ramanujan	PROPN
ejpam-3222	4	24	.	.	PUNCT
ejpam-3222	5	1	these	these	DET
ejpam-3222	5	2	q	q	ADJ
ejpam-3222	5	3	-	-	PUNCT
ejpam-3222	5	4	identities	identity	NOUN
ejpam-3222	5	5	reveal	reveal	VERB
ejpam-3222	5	6	certain	certain	ADJ
ejpam-3222	5	7	relationships	relationship	NOUN
ejpam-3222	5	8	among	among	ADP
ejpam-3222	5	9	three	three	NUM
ejpam-3222	5	10	of	of	ADP
ejpam-3222	5	11	the	the	DET
ejpam-3222	5	12	theta	theta	NOUN
ejpam-3222	5	13	-	-	PUNCT
ejpam-3222	5	14	type	type	NOUN
ejpam-3222	5	15	functions	function	NOUN
ejpam-3222	5	16	which	which	PRON
ejpam-3222	5	17	arise	arise	VERB
ejpam-3222	5	18	from	from	ADP
ejpam-3222	5	19	the	the	DET
ejpam-3222	5	20	celebrated	celebrated	ADJ
ejpam-3222	5	21	jacobi	jacobi	PROPN
ejpam-3222	5	22	’s	’s	PART
ejpam-3222	5	23	triple	triple	ADJ
ejpam-3222	5	24	-	-	PUNCT
ejpam-3222	5	25	product	product	NOUN
ejpam-3222	5	26	identity	identity	NOUN
ejpam-3222	5	27	in	in	ADP
ejpam-3222	5	28	a	a	DET
ejpam-3222	5	29	remarkably	remarkably	ADV
ejpam-3222	5	30	simple	simple	ADJ
ejpam-3222	5	31	way	way	NOUN
ejpam-3222	5	32	.	.	PUNCT
ejpam-3222	6	1	the	the	DET
ejpam-3222	6	2	results	result	NOUN
ejpam-3222	6	3	presented	present	VERB
ejpam-3222	6	4	in	in	ADP
ejpam-3222	6	5	this	this	DET
ejpam-3222	6	6	paper	paper	NOUN
ejpam-3222	6	7	are	be	AUX
ejpam-3222	6	8	motivated	motivate	VERB
ejpam-3222	6	9	by	by	ADP
ejpam-3222	6	10	some	some	DET
ejpam-3222	6	11	recent	recent	ADJ
ejpam-3222	6	12	works	work	NOUN
ejpam-3222	6	13	by	by	ADP
ejpam-3222	6	14	chaudhary	chaudhary	PROPN
ejpam-3222	6	15	et	et	PROPN
ejpam-3222	6	16	al	al	PROPN
ejpam-3222	6	17	.	.	PUNCT
ejpam-3222	7	1	(	(	PUNCT
ejpam-3222	7	2	see	see	VERB
ejpam-3222	7	3	[	[	X
ejpam-3222	7	4	4	4	X
ejpam-3222	7	5	]	]	PUNCT
ejpam-3222	7	6	and	and	CCONJ
ejpam-3222	7	7	[	[	X
ejpam-3222	7	8	5	5	NUM
ejpam-3222	7	9	]	]	PUNCT
ejpam-3222	7	10	)	)	PUNCT
ejpam-3222	7	11	and	and	CCONJ
ejpam-3222	7	12	others	other	NOUN
ejpam-3222	7	13	(	(	PUNCT
ejpam-3222	7	14	see	see	VERB
ejpam-3222	7	15	,	,	PUNCT
ejpam-3222	7	16	for	for	ADP
ejpam-3222	7	17	example	example	NOUN
ejpam-3222	7	18	,	,	PUNCT
ejpam-3222	7	19	[	[	X
ejpam-3222	7	20	1	1	X
ejpam-3222	7	21	]	]	PUNCT
ejpam-3222	7	22	and	and	CCONJ
ejpam-3222	7	23	[	[	X
ejpam-3222	7	24	13	13	NUM
ejpam-3222	7	25	]	]	NUM
ejpam-3222	7	26	)	)	PUNCT
ejpam-3222	7	27	.	.	PUNCT
ejpam-3222	8	1	2010	2010	NUM
ejpam-3222	8	2	mathematics	mathematic	NOUN
ejpam-3222	8	3	subject	subject	NOUN
ejpam-3222	8	4	classifications	classification	NOUN
ejpam-3222	8	5	:	:	PUNCT
ejpam-3222	8	6	11f27	11f27	NUM
ejpam-3222	8	7	,	,	PUNCT
ejpam-3222	8	8	33e20	33e20	NUM
ejpam-3222	8	9	key	key	ADJ
ejpam-3222	8	10	words	word	NOUN
ejpam-3222	8	11	and	and	CCONJ
ejpam-3222	8	12	phrases	phrase	NOUN
ejpam-3222	8	13	:	:	PUNCT
ejpam-3222	8	14	q	q	X
ejpam-3222	8	15	-	-	PUNCT
ejpam-3222	8	16	identities	identity	NOUN
ejpam-3222	8	17	,	,	PUNCT
ejpam-3222	8	18	infinite	infinite	ADJ
ejpam-3222	8	19	series	series	NOUN
ejpam-3222	8	20	and	and	CCONJ
ejpam-3222	8	21	infinite	infinite	ADJ
ejpam-3222	8	22	products	product	NOUN
ejpam-3222	8	23	,	,	PUNCT
ejpam-3222	8	24	theta	theta	NOUN
ejpam-3222	8	25	-	-	PUNCT
ejpam-3222	8	26	function	function	NOUN
ejpam-3222	8	27	identities	identity	NOUN
ejpam-3222	8	28	,	,	PUNCT
ejpam-3222	8	29	ramanujan	ramanujan	PROPN
ejpam-3222	8	30	’s	’s	PART
ejpam-3222	8	31	general	general	ADJ
ejpam-3222	8	32	theta	theta	PROPN
ejpam-3222	8	33	function	function	NOUN
ejpam-3222	8	34	,	,	PUNCT
ejpam-3222	8	35	jacobi	jacobi	PROPN
ejpam-3222	8	36	’s	’s	PART
ejpam-3222	8	37	triple	triple	ADJ
ejpam-3222	8	38	-	-	PUNCT
ejpam-3222	8	39	product	product	NOUN
ejpam-3222	8	40	identity	identity	NOUN
ejpam-3222	8	41	1	1	NUM
ejpam-3222	8	42	.	.	PUNCT
ejpam-3222	9	1	introduction	introduction	NOUN
ejpam-3222	9	2	,	,	PUNCT
ejpam-3222	9	3	definitions	definition	NOUN
ejpam-3222	9	4	and	and	CCONJ
ejpam-3222	9	5	preliminaries	preliminary	NOUN
ejpam-3222	9	6	as	as	ADP
ejpam-3222	9	7	long	long	ADV
ejpam-3222	9	8	ago	ago	ADV
ejpam-3222	9	9	as	as	ADP
ejpam-3222	9	10	1829	1829	NUM
ejpam-3222	9	11	,	,	PUNCT
ejpam-3222	9	12	carl	carl	PROPN
ejpam-3222	9	13	gustav	gustav	PROPN
ejpam-3222	9	14	jacob	jacob	PROPN
ejpam-3222	9	15	jacobi	jacobi	PROPN
ejpam-3222	9	16	(	(	PUNCT
ejpam-3222	9	17	1804	1804	NUM
ejpam-3222	9	18	-	-	SYM
ejpam-3222	9	19	1851	1851	NUM
ejpam-3222	9	20	)	)	PUNCT
ejpam-3222	9	21	introduced	introduce	VERB
ejpam-3222	9	22	a	a	DET
ejpam-3222	9	23	set	set	NOUN
ejpam-3222	9	24	of	of	ADP
ejpam-3222	9	25	four	four	NUM
ejpam-3222	9	26	theta	theta	NOUN
ejpam-3222	9	27	functions	function	NOUN
ejpam-3222	9	28	ϑj(z	ϑj(z	NOUN
ejpam-3222	9	29	,	,	PUNCT
ejpam-3222	9	30	q	q	NOUN
ejpam-3222	9	31	)	)	PUNCT
ejpam-3222	9	32	(	(	PUNCT
ejpam-3222	9	33	j	j	NOUN
ejpam-3222	9	34	=	=	SYM
ejpam-3222	9	35	1	1	NUM
ejpam-3222	9	36	,	,	PUNCT
ejpam-3222	9	37	2	2	NUM
ejpam-3222	9	38	,	,	PUNCT
ejpam-3222	9	39	3	3	NUM
ejpam-3222	9	40	,	,	PUNCT
ejpam-3222	9	41	4	4	NUM
ejpam-3222	9	42	)	)	PUNCT
ejpam-3222	9	43	,	,	PUNCT
ejpam-3222	9	44	which	which	PRON
ejpam-3222	9	45	we	we	PRON
ejpam-3222	9	46	recall	recall	VERB
ejpam-3222	9	47	here	here	ADV
ejpam-3222	9	48	in	in	ADP
ejpam-3222	9	49	the	the	DET
ejpam-3222	9	50	following	follow	VERB
ejpam-3222	9	51	forms	form	NOUN
ejpam-3222	9	52	(	(	PUNCT
ejpam-3222	9	53	see	see	VERB
ejpam-3222	9	54	[	[	X
ejpam-3222	9	55	9	9	NUM
ejpam-3222	9	56	]	]	PUNCT
ejpam-3222	9	57	and	and	CCONJ
ejpam-3222	9	58	[	[	X
ejpam-3222	9	59	15	15	NUM
ejpam-3222	9	60	,	,	PUNCT
ejpam-3222	9	61	pp	pp	ADJ
ejpam-3222	9	62	.	.	PUNCT
ejpam-3222	10	1	463	463	NUM
ejpam-3222	10	2	et	et	PROPN
ejpam-3222	10	3	seq	seq	PROPN
ejpam-3222	10	4	.	.	PROPN
ejpam-3222	11	1	]	]	PUNCT
ejpam-3222	11	2	;	;	PUNCT
ejpam-3222	11	3	see	see	VERB
ejpam-3222	11	4	also	also	ADV
ejpam-3222	11	5	[	[	X
ejpam-3222	11	6	12	12	NUM
ejpam-3222	11	7	,	,	PUNCT
ejpam-3222	11	8	p.	p.	NOUN
ejpam-3222	11	9	86	86	NUM
ejpam-3222	11	10	]	]	PUNCT
ejpam-3222	11	11	):	):	PUNCT
ejpam-3222	11	12	ϑ1(z	ϑ1(z	PROPN
ejpam-3222	11	13	,	,	PUNCT
ejpam-3222	11	14	q	q	NOUN
ejpam-3222	11	15	)	)	PUNCT
ejpam-3222	11	16	=	=	SYM
ejpam-3222	12	1	−i	−i	PROPN
ejpam-3222	12	2	∞∑	∞∑	NUM
ejpam-3222	12	3	n=−∞	n=−∞	NUM
ejpam-3222	12	4	(	(	PUNCT
ejpam-3222	12	5	−1)n	−1)n	X
ejpam-3222	12	6	e(2n+1)iz	e(2n+1)iz	ADP
ejpam-3222	12	7	∗corresponding	∗corresponde	VERB
ejpam-3222	12	8	author	author	NOUN
ejpam-3222	12	9	.	.	PUNCT
ejpam-3222	13	1	email	email	NOUN
ejpam-3222	13	2	addresses	address	NOUN
ejpam-3222	13	3	:	:	PUNCT
ejpam-3222	13	4	harimsri@math.uvic.ca	harimsri@math.uvic.ca	PROPN
ejpam-3222	13	5	(	(	PUNCT
ejpam-3222	13	6	h.	h.	PROPN
ejpam-3222	13	7	m.	m.	PROPN
ejpam-3222	13	8	srivastava	srivastava	PROPN
ejpam-3222	13	9	)	)	PUNCT
ejpam-3222	13	10	,	,	PUNCT
ejpam-3222	13	11	dr.m.p.chaudhary@gmail.com	dr.m.p.chaudhary@gmail.com	PROPN
ejpam-3222	13	12	(	(	PUNCT
ejpam-3222	13	13	m.	m.	PROPN
ejpam-3222	13	14	p.	p.	PROPN
ejpam-3222	13	15	chaudhary	chaudhary	PROPN
ejpam-3222	13	16	)	)	PUNCT
ejpam-3222	13	17	,	,	PUNCT
ejpam-3222	13	18	sangeeta.ch289@gmail.com	sangeeta.ch289@gmail.com	X
ejpam-3222	13	19	sangeeta	sangeeta	PROPN
ejpam-3222	13	20	chaudhary	chaudhary	PROPN
ejpam-3222	13	21	http://www.ejpam.com	http://www.ejpam.com	PROPN
ejpam-3222	14	1	1	1	NUM
ejpam-3222	14	2	c	c	X
ejpam-3222	14	3	©	©	PROPN
ejpam-3222	14	4	2018	2018	NUM
ejpam-3222	14	5	ejpam	ejpam	VERB
ejpam-3222	14	6	all	all	DET
ejpam-3222	14	7	rights	right	NOUN
ejpam-3222	14	8	reserved	reserve	VERB
ejpam-3222	14	9	.	.	PUNCT
ejpam-3222	15	1	h.	h.	PROPN
ejpam-3222	15	2	m.	m.	PROPN
ejpam-3222	15	3	srivastava	srivastava	PROPN
ejpam-3222	15	4	,	,	PUNCT
ejpam-3222	15	5	m.	m.	NOUN
ejpam-3222	15	6	p.	p.	PROPN
ejpam-3222	15	7	chaudhary	chaudhary	PROPN
ejpam-3222	15	8	,	,	PUNCT
ejpam-3222	15	9	s.	s.	PROPN
ejpam-3222	15	10	chaudhary	chaudhary	PROPN
ejpam-3222	15	11	/	/	SYM
ejpam-3222	15	12	eur	eur	PROPN
ejpam-3222	15	13	.	.	PUNCT
ejpam-3222	16	1	j.	j.	PROPN
ejpam-3222	16	2	pure	pure	PROPN
ejpam-3222	16	3	appl	appl	PROPN
ejpam-3222	16	4	.	.	PROPN
ejpam-3222	16	5	math	math	PROPN
ejpam-3222	16	6	,	,	PUNCT
ejpam-3222	16	7	11	11	NUM
ejpam-3222	16	8	(	(	PUNCT
ejpam-3222	16	9	1	1	NUM
ejpam-3222	16	10	)	)	PUNCT
ejpam-3222	16	11	(	(	PUNCT
ejpam-3222	16	12	2018	2018	NUM
ejpam-3222	16	13	)	)	PUNCT
ejpam-3222	16	14	,	,	PUNCT
ejpam-3222	16	15	1	1	NUM
ejpam-3222	16	16	-	-	SYM
ejpam-3222	16	17	9	9	NUM
ejpam-3222	16	18	2	2	NUM
ejpam-3222	16	19	=	=	SYM
ejpam-3222	16	20	2	2	NUM
ejpam-3222	16	21	∞∑	∞∑	NUM
ejpam-3222	16	22	n=0	n=0	NUM
ejpam-3222	16	23	(	(	PUNCT
ejpam-3222	16	24	−1)n	−1)n	PROPN
ejpam-3222	16	25	q	q	X
ejpam-3222	16	26	(	(	PUNCT
ejpam-3222	16	27	n+1	n+1	PROPN
ejpam-3222	16	28	2	2	NUM
ejpam-3222	16	29	2	2	NUM
ejpam-3222	16	30	)	)	PUNCT
ejpam-3222	16	31	2	2	NUM
ejpam-3222	16	32	sin[(2n+	sin[(2n+	PROPN
ejpam-3222	16	33	1)z	1)z	NUM
ejpam-3222	16	34	]	]	X
ejpam-3222	16	35	=	=	SYM
ejpam-3222	16	36	2q	2q	NUM
ejpam-3222	16	37	1	1	NUM
ejpam-3222	16	38	4	4	NUM
ejpam-3222	16	39	∞∑	∞∑	NUM
ejpam-3222	16	40	n=0	n=0	NUM
ejpam-3222	16	41	(	(	PUNCT
ejpam-3222	16	42	−1)n	−1)n	PROPN
ejpam-3222	16	43	qn(n+1	qn(n+1	PROPN
ejpam-3222	16	44	)	)	PUNCT
ejpam-3222	17	1	sin[(2n+	sin[(2n+	PROPN
ejpam-3222	17	2	1)z	1)z	NUM
ejpam-3222	17	3	]	]	PUNCT
ejpam-3222	17	4	,	,	PUNCT
ejpam-3222	17	5	(	(	PUNCT
ejpam-3222	17	6	1	1	X
ejpam-3222	17	7	)	)	PUNCT
ejpam-3222	17	8	ϑ2(z	ϑ2(z	PROPN
ejpam-3222	17	9	,	,	PUNCT
ejpam-3222	17	10	q	q	ADJ
ejpam-3222	17	11	)	)	PUNCT
ejpam-3222	17	12	=	=	SYM
ejpam-3222	18	1	∞∑	∞∑	NUM
ejpam-3222	18	2	n=−∞	n=−∞	NUM
ejpam-3222	18	3	q	q	X
ejpam-3222	19	1	(	(	PUNCT
ejpam-3222	19	2	n+1	n+1	PROPN
ejpam-3222	19	3	2	2	NUM
ejpam-3222	19	4	2	2	NUM
ejpam-3222	19	5	)	)	SYM
ejpam-3222	19	6	2	2	NUM
ejpam-3222	19	7	e(2n+1)iz	e(2n+1)iz	ADP
ejpam-3222	19	8	=	=	SYM
ejpam-3222	19	9	2	2	NUM
ejpam-3222	19	10	∞∑	∞∑	NUM
ejpam-3222	19	11	n=0	n=0	NUM
ejpam-3222	19	12	q	q	NOUN
ejpam-3222	19	13	(	(	PUNCT
ejpam-3222	19	14	n+1	n+1	PROPN
ejpam-3222	19	15	2	2	NUM
ejpam-3222	19	16	2	2	NUM
ejpam-3222	19	17	)	)	SYM
ejpam-3222	19	18	2	2	NUM
ejpam-3222	19	19	cos[(2n+	cos[(2n+	NOUN
ejpam-3222	19	20	1)z	1)z	NOUN
ejpam-3222	19	21	]	]	X
ejpam-3222	20	1	=	=	SYM
ejpam-3222	20	2	2q	2q	NUM
ejpam-3222	20	3	1	1	NUM
ejpam-3222	20	4	4	4	NUM
ejpam-3222	20	5	∞∑	∞∑	NUM
ejpam-3222	20	6	n=0	n=0	NUM
ejpam-3222	20	7	qn(n+1	qn(n+1	PROPN
ejpam-3222	20	8	)	)	PUNCT
ejpam-3222	21	1	cos[(2n+	cos[(2n+	PROPN
ejpam-3222	21	2	1)z	1)z	NOUN
ejpam-3222	21	3	]	]	X
ejpam-3222	21	4	,	,	PUNCT
ejpam-3222	21	5	(	(	PUNCT
ejpam-3222	21	6	2	2	X
ejpam-3222	21	7	)	)	PUNCT
ejpam-3222	21	8	ϑ3(z	ϑ3(z	NOUN
ejpam-3222	21	9	,	,	PUNCT
ejpam-3222	21	10	q	q	X
ejpam-3222	21	11	)	)	PUNCT
ejpam-3222	21	12	=	=	SYM
ejpam-3222	22	1	∞∑	∞∑	NUM
ejpam-3222	22	2	n=−∞	n=−∞	INTJ
ejpam-3222	22	3	qn	qn	INTJ
ejpam-3222	22	4	2	2	NUM
ejpam-3222	22	5	e2niz	e2niz	NOUN
ejpam-3222	22	6	=	=	SYM
ejpam-3222	22	7	1	1	NUM
ejpam-3222	22	8	+	+	NUM
ejpam-3222	22	9	2	2	NUM
ejpam-3222	22	10	∞∑	∞∑	NUM
ejpam-3222	22	11	n=1	n=1	PUNCT
ejpam-3222	22	12	qn	qn	NOUN
ejpam-3222	22	13	2	2	NUM
ejpam-3222	22	14	cos(2nz	cos(2nz	NOUN
ejpam-3222	22	15	)	)	PUNCT
ejpam-3222	22	16	(	(	PUNCT
ejpam-3222	22	17	3	3	NUM
ejpam-3222	22	18	)	)	PUNCT
ejpam-3222	22	19	and	and	CCONJ
ejpam-3222	22	20	ϑ4(z	ϑ4(z	ADP
ejpam-3222	22	21	,	,	PUNCT
ejpam-3222	22	22	q	q	NOUN
ejpam-3222	22	23	)	)	PUNCT
ejpam-3222	22	24	=	=	SYM
ejpam-3222	23	1	∞∑	∞∑	NUM
ejpam-3222	23	2	n=−∞	n=−∞	NUM
ejpam-3222	23	3	(	(	PUNCT
ejpam-3222	23	4	−1)n	−1)n	PROPN
ejpam-3222	23	5	qn	qn	PROPN
ejpam-3222	23	6	2	2	NUM
ejpam-3222	23	7	e2niz	e2niz	NOUN
ejpam-3222	23	8	=	=	SYM
ejpam-3222	23	9	1	1	NUM
ejpam-3222	23	10	+	+	NUM
ejpam-3222	23	11	2	2	NUM
ejpam-3222	24	1	∞∑	∞∑	NUM
ejpam-3222	24	2	n=1	n=1	PROPN
ejpam-3222	24	3	(	(	PUNCT
ejpam-3222	24	4	−1)n	−1)n	PROPN
ejpam-3222	24	5	qn	qn	PROPN
ejpam-3222	24	6	2	2	NUM
ejpam-3222	24	7	cos(2nz	cos(2nz	NOUN
ejpam-3222	24	8	)	)	PUNCT
ejpam-3222	24	9	,	,	PUNCT
ejpam-3222	24	10	(	(	PUNCT
ejpam-3222	24	11	4	4	X
ejpam-3222	24	12	)	)	PUNCT
ejpam-3222	24	13	where	where	SCONJ
ejpam-3222	24	14	z	z	PROPN
ejpam-3222	24	15	∈	∈	PROPN
ejpam-3222	24	16	c	c	PROPN
ejpam-3222	24	17	and	and	CCONJ
ejpam-3222	24	18	|q|	|q|	VERB
ejpam-3222	24	19	<	<	X
ejpam-3222	24	20	1	1	NUM
ejpam-3222	24	21	,	,	PUNCT
ejpam-3222	24	22	c	c	X
ejpam-3222	24	23	being	be	AUX
ejpam-3222	24	24	the	the	DET
ejpam-3222	24	25	set	set	NOUN
ejpam-3222	24	26	of	of	ADP
ejpam-3222	24	27	complex	complex	ADJ
ejpam-3222	24	28	numbers	number	NOUN
ejpam-3222	24	29	.	.	PUNCT
ejpam-3222	25	1	we	we	PRON
ejpam-3222	25	2	also	also	ADV
ejpam-3222	25	3	recall	recall	VERB
ejpam-3222	25	4	here	here	ADV
ejpam-3222	25	5	that	that	SCONJ
ejpam-3222	25	6	,	,	PUNCT
ejpam-3222	25	7	in	in	ADP
ejpam-3222	25	8	chapter	chapter	NOUN
ejpam-3222	25	9	16	16	NUM
ejpam-3222	25	10	of	of	ADP
ejpam-3222	25	11	his	his	PRON
ejpam-3222	25	12	celebrated	celebrate	VERB
ejpam-3222	25	13	notebooks	notebook	NOUN
ejpam-3222	25	14	,	,	PUNCT
ejpam-3222	25	15	srinivasa	srinivasa	PROPN
ejpam-3222	25	16	ramanujan	ramanujan	PROPN
ejpam-3222	25	17	(	(	PUNCT
ejpam-3222	25	18	1887	1887	NUM
ejpam-3222	25	19	-	-	SYM
ejpam-3222	25	20	1920	1920	NUM
ejpam-3222	25	21	)	)	PUNCT
ejpam-3222	25	22	defined	define	VERB
ejpam-3222	25	23	the	the	DET
ejpam-3222	25	24	general	general	ADJ
ejpam-3222	25	25	theta	theta	NOUN
ejpam-3222	25	26	function	function	NOUN
ejpam-3222	25	27	f(a	f(a	PROPN
ejpam-3222	25	28	,	,	PUNCT
ejpam-3222	25	29	b	b	NOUN
ejpam-3222	25	30	)	)	PUNCT
ejpam-3222	25	31	as	as	SCONJ
ejpam-3222	25	32	follows	follow	VERB
ejpam-3222	25	33	(	(	PUNCT
ejpam-3222	25	34	see	see	VERB
ejpam-3222	25	35	,	,	PUNCT
ejpam-3222	25	36	for	for	ADP
ejpam-3222	25	37	example	example	NOUN
ejpam-3222	25	38	,	,	PUNCT
ejpam-3222	25	39	[	[	X
ejpam-3222	25	40	10	10	NUM
ejpam-3222	25	41	]	]	PUNCT
ejpam-3222	25	42	and	and	CCONJ
ejpam-3222	25	43	[	[	X
ejpam-3222	25	44	11	11	NUM
ejpam-3222	25	45	]	]	PUNCT
ejpam-3222	25	46	;	;	PUNCT
ejpam-3222	25	47	see	see	VERB
ejpam-3222	25	48	also	also	ADV
ejpam-3222	25	49	[	[	X
ejpam-3222	25	50	1	1	X
ejpam-3222	25	51	]	]	PUNCT
ejpam-3222	25	52	and	and	CCONJ
ejpam-3222	25	53	[	[	X
ejpam-3222	25	54	13	13	NUM
ejpam-3222	25	55	]	]	SYM
ejpam-3222	25	56	):	):	PUNCT
ejpam-3222	25	57	f(a	f(a	PROPN
ejpam-3222	25	58	,	,	PUNCT
ejpam-3222	25	59	b	b	NOUN
ejpam-3222	25	60	)	)	PUNCT
ejpam-3222	25	61	:	:	PUNCT
ejpam-3222	26	1	=	=	SYM
ejpam-3222	26	2	1	1	NUM
ejpam-3222	26	3	+	+	NUM
ejpam-3222	26	4	∞∑	∞∑	NUM
ejpam-3222	26	5	n=1	n=1	PROPN
ejpam-3222	26	6	(	(	PUNCT
ejpam-3222	26	7	ab	ab	PROPN
ejpam-3222	26	8	)	)	PUNCT
ejpam-3222	26	9	n(n−1	n(n−1	NUM
ejpam-3222	26	10	)	)	PUNCT
ejpam-3222	26	11	2	2	NUM
ejpam-3222	26	12	(	(	PUNCT
ejpam-3222	26	13	an	an	DET
ejpam-3222	26	14	+	+	NOUN
ejpam-3222	26	15	bn	bn	NOUN
ejpam-3222	26	16	)	)	PUNCT
ejpam-3222	26	17	=	=	PUNCT
ejpam-3222	27	1	∞∑	∞∑	NUM
ejpam-3222	27	2	n=−∞	n=−∞	NUM
ejpam-3222	27	3	a	a	DET
ejpam-3222	27	4	n(n+1	n(n+1	NOUN
ejpam-3222	27	5	)	)	PUNCT
ejpam-3222	27	6	2	2	NUM
ejpam-3222	27	7	b	b	NOUN
ejpam-3222	27	8	n(n−1	n(n−1	NUM
ejpam-3222	27	9	)	)	PUNCT
ejpam-3222	27	10	2	2	NUM
ejpam-3222	27	11	=	=	SYM
ejpam-3222	27	12	f(b	f(b	PROPN
ejpam-3222	27	13	,	,	PUNCT
ejpam-3222	27	14	a	a	PRON
ejpam-3222	27	15	)	)	PUNCT
ejpam-3222	27	16	(	(	PUNCT
ejpam-3222	27	17	|ab|	|ab|	NOUN
ejpam-3222	27	18	<	<	X
ejpam-3222	27	19	1	1	NUM
ejpam-3222	27	20	)	)	PUNCT
ejpam-3222	27	21	,	,	PUNCT
ejpam-3222	27	22	(	(	PUNCT
ejpam-3222	27	23	5	5	NUM
ejpam-3222	27	24	)	)	PUNCT
ejpam-3222	27	25	so	so	SCONJ
ejpam-3222	27	26	that	that	SCONJ
ejpam-3222	27	27	,	,	PUNCT
ejpam-3222	27	28	for	for	ADP
ejpam-3222	27	29	any	any	DET
ejpam-3222	27	30	integer	integer	NOUN
ejpam-3222	27	31	n	n	CCONJ
ejpam-3222	27	32	,	,	PUNCT
ejpam-3222	27	33	it	it	PRON
ejpam-3222	27	34	is	be	AUX
ejpam-3222	27	35	easily	easily	ADV
ejpam-3222	27	36	seen	see	VERB
ejpam-3222	27	37	that	that	SCONJ
ejpam-3222	27	38	f(a	f(a	NOUN
ejpam-3222	27	39	,	,	PUNCT
ejpam-3222	27	40	b	b	NOUN
ejpam-3222	27	41	)	)	PUNCT
ejpam-3222	27	42	=	=	NOUN
ejpam-3222	27	43	a	a	DET
ejpam-3222	27	44	n(n+1	n(n+1	NOUN
ejpam-3222	27	45	)	)	PUNCT
ejpam-3222	27	46	2	2	NUM
ejpam-3222	27	47	b	b	NOUN
ejpam-3222	27	48	n(n−1	n(n−1	NUM
ejpam-3222	27	49	)	)	PUNCT
ejpam-3222	27	50	2	2	NUM
ejpam-3222	27	51	f	f	NOUN
ejpam-3222	27	52	(	(	PUNCT
ejpam-3222	27	53	a(ab)n	a(ab)n	PROPN
ejpam-3222	27	54	,	,	PUNCT
ejpam-3222	27	55	b	b	PROPN
ejpam-3222	27	56	(	(	PUNCT
ejpam-3222	27	57	ab)n	ab)n	PROPN
ejpam-3222	27	58	)	)	PUNCT
ejpam-3222	27	59	=	=	SYM
ejpam-3222	27	60	f(b	f(b	PROPN
ejpam-3222	27	61	,	,	PUNCT
ejpam-3222	27	62	a	a	PRON
ejpam-3222	27	63	)	)	PUNCT
ejpam-3222	27	64	.	.	PUNCT
ejpam-3222	28	1	(	(	PUNCT
ejpam-3222	28	2	6	6	X
ejpam-3222	28	3	)	)	PUNCT
ejpam-3222	28	4	ramanujan	ramanujan	NOUN
ejpam-3222	28	5	also	also	ADV
ejpam-3222	28	6	rediscovered	rediscover	VERB
ejpam-3222	28	7	jacobi	jacobi	PROPN
ejpam-3222	28	8	’s	’s	PART
ejpam-3222	28	9	famous	famous	ADJ
ejpam-3222	28	10	triple	triple	ADJ
ejpam-3222	28	11	-	-	PUNCT
ejpam-3222	28	12	product	product	NOUN
ejpam-3222	28	13	identity	identity	NOUN
ejpam-3222	28	14	which	which	PRON
ejpam-3222	28	15	,	,	PUNCT
ejpam-3222	28	16	in	in	ADP
ejpam-3222	28	17	ramanujan	ramanujan	PROPN
ejpam-3222	28	18	’s	’s	PART
ejpam-3222	28	19	notation	notation	NOUN
ejpam-3222	28	20	,	,	PUNCT
ejpam-3222	28	21	is	be	AUX
ejpam-3222	28	22	given	give	VERB
ejpam-3222	28	23	by	by	ADP
ejpam-3222	28	24	f(a	f(a	PROPN
ejpam-3222	28	25	,	,	PUNCT
ejpam-3222	28	26	b	b	NOUN
ejpam-3222	28	27	)	)	PUNCT
ejpam-3222	28	28	=	=	SYM
ejpam-3222	28	29	(	(	PUNCT
ejpam-3222	28	30	−a	−a	ADV
ejpam-3222	28	31	;	;	PUNCT
ejpam-3222	28	32	ab)∞	ab)∞	PROPN
ejpam-3222	28	33	(	(	PUNCT
ejpam-3222	28	34	−b	−b	ADJ
ejpam-3222	28	35	;	;	PUNCT
ejpam-3222	28	36	ab)∞	ab)∞	PROPN
ejpam-3222	28	37	(	(	PUNCT
ejpam-3222	28	38	ab	ab	PROPN
ejpam-3222	28	39	;	;	PUNCT
ejpam-3222	28	40	ab)∞	ab)∞	PROPN
ejpam-3222	28	41	,	,	PUNCT
ejpam-3222	28	42	(	(	PUNCT
ejpam-3222	28	43	7	7	X
ejpam-3222	28	44	)	)	PUNCT
ejpam-3222	28	45	h.	h.	PROPN
ejpam-3222	28	46	m.	m.	PROPN
ejpam-3222	28	47	srivastava	srivastava	PROPN
ejpam-3222	28	48	,	,	PUNCT
ejpam-3222	28	49	m.	m.	NOUN
ejpam-3222	28	50	p.	p.	PROPN
ejpam-3222	28	51	chaudhary	chaudhary	PROPN
ejpam-3222	28	52	,	,	PUNCT
ejpam-3222	28	53	s.	s.	PROPN
ejpam-3222	28	54	chaudhary	chaudhary	PROPN
ejpam-3222	28	55	/	/	SYM
ejpam-3222	28	56	eur	eur	PROPN
ejpam-3222	28	57	.	.	PUNCT
ejpam-3222	29	1	j.	j.	PROPN
ejpam-3222	29	2	pure	pure	PROPN
ejpam-3222	29	3	appl	appl	PROPN
ejpam-3222	29	4	.	.	PROPN
ejpam-3222	29	5	math	math	PROPN
ejpam-3222	29	6	,	,	PUNCT
ejpam-3222	29	7	11	11	NUM
ejpam-3222	29	8	(	(	PUNCT
ejpam-3222	29	9	1	1	NUM
ejpam-3222	29	10	)	)	PUNCT
ejpam-3222	29	11	(	(	PUNCT
ejpam-3222	29	12	2018	2018	NUM
ejpam-3222	29	13	)	)	PUNCT
ejpam-3222	29	14	,	,	PUNCT
ejpam-3222	29	15	1	1	NUM
ejpam-3222	29	16	-	-	SYM
ejpam-3222	29	17	9	9	NUM
ejpam-3222	29	18	3	3	NUM
ejpam-3222	29	19	or	or	CCONJ
ejpam-3222	29	20	,	,	PUNCT
ejpam-3222	29	21	equivalently	equivalently	ADV
ejpam-3222	29	22	,	,	PUNCT
ejpam-3222	29	23	by	by	ADP
ejpam-3222	29	24	(	(	PUNCT
ejpam-3222	29	25	see	see	VERB
ejpam-3222	29	26	[	[	X
ejpam-3222	29	27	9	9	NUM
ejpam-3222	29	28	]	]	SYM
ejpam-3222	29	29	)	)	PUNCT
ejpam-3222	30	1	∞∑	∞∑	NUM
ejpam-3222	30	2	n=−∞	n=−∞	INTJ
ejpam-3222	30	3	qn	qn	INTJ
ejpam-3222	30	4	2	2	NUM
ejpam-3222	30	5	zn	zn	NOUN
ejpam-3222	30	6	=	=	SYM
ejpam-3222	30	7	∞∏	∞∏	X
ejpam-3222	30	8	n=1	n=1	PROPN
ejpam-3222	30	9	(	(	PUNCT
ejpam-3222	30	10	1−	1−	NUM
ejpam-3222	30	11	q2n	q2n	CCONJ
ejpam-3222	30	12	)	)	PUNCT
ejpam-3222	30	13	(	(	PUNCT
ejpam-3222	30	14	1	1	NUM
ejpam-3222	30	15	+	+	NUM
ejpam-3222	30	16	zq2n−1	zq2n−1	NUM
ejpam-3222	30	17	)	)	PUNCT
ejpam-3222	30	18	(	(	PUNCT
ejpam-3222	30	19	1	1	NUM
ejpam-3222	30	20	+	+	SYM
ejpam-3222	30	21	1	1	NUM
ejpam-3222	30	22	z	z	NOUN
ejpam-3222	30	23	q2n−1	q2n−1	ADJ
ejpam-3222	30	24	)	)	PUNCT
ejpam-3222	30	25	=	=	SYM
ejpam-3222	30	26	(	(	PUNCT
ejpam-3222	30	27	q2	q2	NOUN
ejpam-3222	30	28	;	;	PUNCT
ejpam-3222	30	29	q2	q2	PROPN
ejpam-3222	30	30	)	)	PUNCT
ejpam-3222	30	31	∞	∞	PROPN
ejpam-3222	30	32	(	(	PUNCT
ejpam-3222	30	33	−zq	−zq	ADV
ejpam-3222	30	34	;	;	PUNCT
ejpam-3222	30	35	q2	q2	X
ejpam-3222	30	36	)	)	PUNCT
ejpam-3222	31	1	∞	∞	PROPN
ejpam-3222	31	2	(	(	PUNCT
ejpam-3222	31	3	−q	−q	ADJ
ejpam-3222	31	4	z	z	NOUN
ejpam-3222	31	5	;	;	PUNCT
ejpam-3222	31	6	q2	q2	NOUN
ejpam-3222	31	7	)	)	PUNCT
ejpam-3222	32	1	∞	∞	PROPN
ejpam-3222	32	2	(	(	PUNCT
ejpam-3222	32	3	|q|	|q|	VERB
ejpam-3222	32	4	<	<	X
ejpam-3222	32	5	1	1	NUM
ejpam-3222	32	6	;	;	PUNCT
ejpam-3222	32	7	z	z	PROPN
ejpam-3222	32	8	6=	6=	NUM
ejpam-3222	32	9	0	0	NUM
ejpam-3222	32	10	)	)	PUNCT
ejpam-3222	32	11	,	,	PUNCT
ejpam-3222	32	12	(	(	PUNCT
ejpam-3222	32	13	8)	8)	NUM
ejpam-3222	32	14	which	which	PRON
ejpam-3222	32	15	was	be	AUX
ejpam-3222	32	16	,	,	PUNCT
ejpam-3222	32	17	in	in	ADP
ejpam-3222	32	18	fact	fact	NOUN
ejpam-3222	32	19	,	,	PUNCT
ejpam-3222	32	20	first	first	ADV
ejpam-3222	32	21	proved	prove	VERB
ejpam-3222	32	22	by	by	ADP
ejpam-3222	32	23	carl	carl	PROPN
ejpam-3222	32	24	friedrich	friedrich	PROPN
ejpam-3222	32	25	gauss	gauss	PROPN
ejpam-3222	32	26	(	(	PUNCT
ejpam-3222	32	27	1777	1777	NUM
ejpam-3222	32	28	-	-	SYM
ejpam-3222	32	29	1855	1855	NUM
ejpam-3222	32	30	)	)	PUNCT
ejpam-3222	32	31	.	.	PUNCT
ejpam-3222	33	1	as	as	ADP
ejpam-3222	33	2	usual	usual	ADJ
ejpam-3222	33	3	,	,	PUNCT
ejpam-3222	33	4	in	in	ADP
ejpam-3222	33	5	the	the	DET
ejpam-3222	33	6	above	above	ADJ
ejpam-3222	33	7	equations	equation	NOUN
ejpam-3222	33	8	as	as	ADV
ejpam-3222	33	9	well	well	ADV
ejpam-3222	33	10	as	as	ADP
ejpam-3222	33	11	throughout	throughout	ADP
ejpam-3222	33	12	our	our	PRON
ejpam-3222	33	13	present	present	ADJ
ejpam-3222	33	14	investigation	investigation	NOUN
ejpam-3222	33	15	,	,	PUNCT
ejpam-3222	33	16	we	we	PRON
ejpam-3222	33	17	denote	denote	VERB
ejpam-3222	33	18	the	the	DET
ejpam-3222	33	19	set	set	NOUN
ejpam-3222	33	20	of	of	ADP
ejpam-3222	33	21	complex	complex	ADJ
ejpam-3222	33	22	numbers	number	NOUN
ejpam-3222	33	23	by	by	ADP
ejpam-3222	33	24	c	c	PROPN
ejpam-3222	33	25	and	and	CCONJ
ejpam-3222	33	26	the	the	DET
ejpam-3222	33	27	set	set	NOUN
ejpam-3222	33	28	of	of	ADP
ejpam-3222	33	29	positive	positive	ADJ
ejpam-3222	33	30	integers	integer	NOUN
ejpam-3222	33	31	by	by	ADP
ejpam-3222	33	32	n	n	ADV
ejpam-3222	33	33	with	with	ADP
ejpam-3222	33	34	,	,	PUNCT
ejpam-3222	33	35	of	of	ADP
ejpam-3222	33	36	course	course	NOUN
ejpam-3222	33	37	,	,	PUNCT
ejpam-3222	33	38	n0	n0	ADJ
ejpam-3222	33	39	:	:	PUNCT
ejpam-3222	33	40	=	=	PUNCT
ejpam-3222	33	41	n∪{0	n∪{0	NOUN
ejpam-3222	33	42	}	}	PUNCT
ejpam-3222	33	43	.	.	PUNCT
ejpam-3222	34	1	moreover	moreover	ADV
ejpam-3222	34	2	,	,	PUNCT
ejpam-3222	34	3	for	for	ADP
ejpam-3222	34	4	q	q	PROPN
ejpam-3222	34	5	,	,	PUNCT
ejpam-3222	34	6	λ	λ	PROPN
ejpam-3222	34	7	,	,	PUNCT
ejpam-3222	34	8	µ	µ	X
ejpam-3222	34	9	∈	∈	X
ejpam-3222	34	10	c	c	X
ejpam-3222	34	11	(	(	PUNCT
ejpam-3222	34	12	|q|	|q|	VERB
ejpam-3222	34	13	<	<	X
ejpam-3222	34	14	1	1	NUM
ejpam-3222	34	15	)	)	PUNCT
ejpam-3222	34	16	,	,	PUNCT
ejpam-3222	34	17	the	the	DET
ejpam-3222	34	18	basic	basic	ADJ
ejpam-3222	34	19	(	(	PUNCT
ejpam-3222	34	20	or	or	CCONJ
ejpam-3222	34	21	q-	q-	PRON
ejpam-3222	34	22	)	)	PUNCT
ejpam-3222	34	23	shifted	shift	VERB
ejpam-3222	34	24	factorial	factorial	NOUN
ejpam-3222	34	25	(	(	PUNCT
ejpam-3222	34	26	λ	λ	NOUN
ejpam-3222	34	27	;	;	PUNCT
ejpam-3222	34	28	q)µ	q)µ	X
ejpam-3222	34	29	is	be	AUX
ejpam-3222	34	30	defined	define	VERB
ejpam-3222	34	31	by	by	ADP
ejpam-3222	34	32	(	(	PUNCT
ejpam-3222	34	33	see	see	VERB
ejpam-3222	34	34	,	,	PUNCT
ejpam-3222	34	35	for	for	ADP
ejpam-3222	34	36	example	example	NOUN
ejpam-3222	34	37	,	,	PUNCT
ejpam-3222	34	38	[	[	X
ejpam-3222	34	39	12	12	NUM
ejpam-3222	34	40	,	,	PUNCT
ejpam-3222	34	41	chapter	chapter	NOUN
ejpam-3222	34	42	3	3	NUM
ejpam-3222	34	43	,	,	PUNCT
ejpam-3222	34	44	section	section	NOUN
ejpam-3222	34	45	3.2.1	3.2.1	NUM
ejpam-3222	34	46	]	]	PUNCT
ejpam-3222	34	47	and	and	CCONJ
ejpam-3222	34	48	[	[	X
ejpam-3222	34	49	14	14	NUM
ejpam-3222	34	50	,	,	PUNCT
ejpam-3222	34	51	pp	pp	ADJ
ejpam-3222	34	52	.	.	PUNCT
ejpam-3222	35	1	346	346	NUM
ejpam-3222	35	2	et	et	PROPN
ejpam-3222	35	3	seq	seq	PROPN
ejpam-3222	35	4	.	.	PROPN
ejpam-3222	35	5	]	]	PUNCT
ejpam-3222	35	6	)	)	PUNCT
ejpam-3222	36	1	(	(	PUNCT
ejpam-3222	36	2	λ	λ	NOUN
ejpam-3222	36	3	;	;	PUNCT
ejpam-3222	36	4	q)µ	q)µ	X
ejpam-3222	36	5	:	:	PUNCT
ejpam-3222	36	6	=	=	SYM
ejpam-3222	36	7	∞∏	∞∏	X
ejpam-3222	36	8	j=0	j=0	PROPN
ejpam-3222	36	9	(	(	PUNCT
ejpam-3222	36	10	1−	1−	NUM
ejpam-3222	36	11	λqj	λqj	ADJ
ejpam-3222	36	12	1−	1−	NUM
ejpam-3222	36	13	λqµ+j	λqµ+j	NUM
ejpam-3222	36	14	)	)	PUNCT
ejpam-3222	36	15	(	(	PUNCT
ejpam-3222	36	16	|q|	|q|	VERB
ejpam-3222	36	17	<	<	X
ejpam-3222	36	18	1	1	NUM
ejpam-3222	36	19	;	;	PUNCT
ejpam-3222	36	20	λ	λ	NOUN
ejpam-3222	36	21	,	,	PUNCT
ejpam-3222	36	22	µ	µ	PRON
ejpam-3222	36	23	∈	∈	NOUN
ejpam-3222	36	24	c	c	NOUN
ejpam-3222	36	25	)	)	PUNCT
ejpam-3222	36	26	,	,	PUNCT
ejpam-3222	36	27	(	(	PUNCT
ejpam-3222	36	28	9	9	X
ejpam-3222	36	29	)	)	PUNCT
ejpam-3222	36	30	so	so	SCONJ
ejpam-3222	36	31	that	that	SCONJ
ejpam-3222	36	32	(	(	PUNCT
ejpam-3222	36	33	λ	λ	NOUN
ejpam-3222	36	34	;	;	PUNCT
ejpam-3222	36	35	q)n	q)n	PUNCT
ejpam-3222	36	36	:	:	PUNCT
ejpam-3222	36	37	=	=	SYM
ejpam-3222	36	38			NUM
ejpam-3222	36	39	1	1	NUM
ejpam-3222	36	40	(	(	PUNCT
ejpam-3222	36	41	n	n	NOUN
ejpam-3222	36	42	=	=	SYM
ejpam-3222	36	43	0	0	NUM
ejpam-3222	36	44	)	)	PUNCT
ejpam-3222	36	45	n−1∏	n−1∏	PROPN
ejpam-3222	36	46	j=0	j=0	PROPN
ejpam-3222	36	47	(	(	PUNCT
ejpam-3222	36	48	1−	1−	NUM
ejpam-3222	36	49	λqj	λqj	NOUN
ejpam-3222	36	50	)	)	PUNCT
ejpam-3222	36	51	(	(	PUNCT
ejpam-3222	36	52	n	n	CCONJ
ejpam-3222	36	53	∈	∈	PROPN
ejpam-3222	36	54	n	n	CCONJ
ejpam-3222	36	55	)	)	PUNCT
ejpam-3222	36	56	(	(	PUNCT
ejpam-3222	36	57	10	10	NUM
ejpam-3222	36	58	)	)	PUNCT
ejpam-3222	36	59	and	and	CCONJ
ejpam-3222	36	60	(	(	PUNCT
ejpam-3222	36	61	λ	λ	NOUN
ejpam-3222	36	62	;	;	PUNCT
ejpam-3222	36	63	q)∞	q)∞	ADJ
ejpam-3222	36	64	:	:	PUNCT
ejpam-3222	36	65	=	=	SYM
ejpam-3222	36	66	∞∏	∞∏	X
ejpam-3222	36	67	j=0	j=0	PROPN
ejpam-3222	36	68	(	(	PUNCT
ejpam-3222	36	69	1−	1−	NUM
ejpam-3222	36	70	λ	λ	SYM
ejpam-3222	36	71	qj	qj	PROPN
ejpam-3222	36	72	)	)	PUNCT
ejpam-3222	36	73	(	(	PUNCT
ejpam-3222	36	74	|q|	|q|	VERB
ejpam-3222	36	75	<	<	X
ejpam-3222	36	76	1	1	NUM
ejpam-3222	36	77	;	;	PUNCT
ejpam-3222	36	78	λ	λ	PROPN
ejpam-3222	36	79	∈	∈	PROPN
ejpam-3222	36	80	c	c	NOUN
ejpam-3222	36	81	)	)	PUNCT
ejpam-3222	36	82	.	.	PUNCT
ejpam-3222	37	1	(	(	PUNCT
ejpam-3222	37	2	11	11	NUM
ejpam-3222	37	3	)	)	PUNCT
ejpam-3222	37	4	the	the	DET
ejpam-3222	37	5	theory	theory	NOUN
ejpam-3222	37	6	of	of	ADP
ejpam-3222	37	7	jacobi	jacobi	PROPN
ejpam-3222	37	8	’s	’s	PART
ejpam-3222	37	9	theta	theta	PROPN
ejpam-3222	37	10	functions	function	NOUN
ejpam-3222	37	11	ϑj(z	ϑj(z	NOUN
ejpam-3222	37	12	,	,	PUNCT
ejpam-3222	37	13	q	q	NOUN
ejpam-3222	37	14	)	)	PUNCT
ejpam-3222	37	15	(	(	PUNCT
ejpam-3222	37	16	j	j	NOUN
ejpam-3222	37	17	=	=	SYM
ejpam-3222	37	18	1	1	NUM
ejpam-3222	37	19	,	,	PUNCT
ejpam-3222	37	20	2	2	NUM
ejpam-3222	37	21	,	,	PUNCT
ejpam-3222	37	22	3	3	NUM
ejpam-3222	37	23	,	,	PUNCT
ejpam-3222	37	24	4	4	NUM
ejpam-3222	37	25	)	)	PUNCT
ejpam-3222	37	26	,	,	PUNCT
ejpam-3222	37	27	which	which	PRON
ejpam-3222	37	28	are	be	AUX
ejpam-3222	37	29	defined	define	VERB
ejpam-3222	37	30	above	above	ADP
ejpam-3222	37	31	by	by	ADP
ejpam-3222	37	32	the	the	DET
ejpam-3222	37	33	equations	equation	NOUN
ejpam-3222	37	34	(	(	PUNCT
ejpam-3222	37	35	1	1	X
ejpam-3222	37	36	)	)	PUNCT
ejpam-3222	37	37	to	to	ADP
ejpam-3222	37	38	(	(	PUNCT
ejpam-3222	37	39	4	4	NUM
ejpam-3222	37	40	)	)	PUNCT
ejpam-3222	37	41	,	,	PUNCT
ejpam-3222	37	42	has	have	VERB
ejpam-3222	37	43	a	a	DET
ejpam-3222	37	44	long	long	ADJ
ejpam-3222	37	45	history	history	NOUN
ejpam-3222	37	46	and	and	CCONJ
ejpam-3222	37	47	many	many	ADJ
ejpam-3222	37	48	applications	application	NOUN
ejpam-3222	37	49	in	in	ADP
ejpam-3222	37	50	a	a	DET
ejpam-3222	37	51	wide	wide	ADJ
ejpam-3222	37	52	variety	variety	NOUN
ejpam-3222	37	53	of	of	ADP
ejpam-3222	37	54	research	research	NOUN
ejpam-3222	37	55	fields	field	NOUN
ejpam-3222	37	56	such	such	ADJ
ejpam-3222	37	57	as	as	ADP
ejpam-3222	37	58	number	number	NOUN
ejpam-3222	37	59	theory	theory	NOUN
ejpam-3222	37	60	(	(	PUNCT
ejpam-3222	37	61	especially	especially	ADV
ejpam-3222	37	62	in	in	ADP
ejpam-3222	37	63	quadratic	quadratic	ADJ
ejpam-3222	37	64	forms	form	NOUN
ejpam-3222	37	65	and	and	CCONJ
ejpam-3222	37	66	elliptic	elliptic	ADJ
ejpam-3222	37	67	functions	function	NOUN
ejpam-3222	37	68	)	)	PUNCT
ejpam-3222	37	69	and	and	CCONJ
ejpam-3222	37	70	quantum	quantum	NOUN
ejpam-3222	37	71	physics	physic	NOUN
ejpam-3222	37	72	.	.	PUNCT
ejpam-3222	38	1	besides	besides	SCONJ
ejpam-3222	38	2	,	,	PUNCT
ejpam-3222	38	3	the	the	DET
ejpam-3222	38	4	subject	subject	NOUN
ejpam-3222	38	5	of	of	ADP
ejpam-3222	38	6	q	q	NOUN
ejpam-3222	38	7	-	-	PUNCT
ejpam-3222	38	8	analysis	analysis	NOUN
ejpam-3222	38	9	,	,	PUNCT
ejpam-3222	38	10	which	which	PRON
ejpam-3222	38	11	is	be	AUX
ejpam-3222	38	12	popularly	popularly	ADV
ejpam-3222	38	13	known	know	VERB
ejpam-3222	38	14	as	as	ADP
ejpam-3222	38	15	the	the	DET
ejpam-3222	38	16	quantum	quantum	ADJ
ejpam-3222	38	17	analysis	analysis	NOUN
ejpam-3222	38	18	,	,	PUNCT
ejpam-3222	38	19	has	have	VERB
ejpam-3222	38	20	its	its	PRON
ejpam-3222	38	21	roots	root	NOUN
ejpam-3222	38	22	in	in	ADP
ejpam-3222	38	23	such	such	ADJ
ejpam-3222	38	24	important	important	ADJ
ejpam-3222	38	25	areas	area	NOUN
ejpam-3222	38	26	as	as	ADP
ejpam-3222	38	27	(	(	PUNCT
ejpam-3222	38	28	for	for	ADP
ejpam-3222	38	29	example	example	NOUN
ejpam-3222	38	30	)	)	PUNCT
ejpam-3222	38	31	mathematical	mathematical	ADJ
ejpam-3222	38	32	physics	physics	NOUN
ejpam-3222	38	33	,	,	PUNCT
ejpam-3222	38	34	analytic	analytic	ADJ
ejpam-3222	38	35	number	number	NOUN
ejpam-3222	38	36	theory	theory	NOUN
ejpam-3222	38	37	,	,	PUNCT
ejpam-3222	38	38	and	and	CCONJ
ejpam-3222	38	39	the	the	DET
ejpam-3222	38	40	theory	theory	NOUN
ejpam-3222	38	41	of	of	ADP
ejpam-3222	38	42	partitions	partition	NOUN
ejpam-3222	38	43	.	.	PUNCT
ejpam-3222	39	1	motivated	motivate	VERB
ejpam-3222	39	2	essentially	essentially	ADV
ejpam-3222	39	3	by	by	ADP
ejpam-3222	39	4	the	the	DET
ejpam-3222	39	5	potential	potential	NOUN
ejpam-3222	39	6	for	for	ADP
ejpam-3222	39	7	applications	application	NOUN
ejpam-3222	39	8	of	of	ADP
ejpam-3222	39	9	q	q	NOUN
ejpam-3222	39	10	-	-	PUNCT
ejpam-3222	39	11	series	series	NOUN
ejpam-3222	39	12	and	and	CCONJ
ejpam-3222	39	13	q	q	NOUN
ejpam-3222	39	14	-	-	PUNCT
ejpam-3222	39	15	products	product	NOUN
ejpam-3222	39	16	,	,	PUNCT
ejpam-3222	39	17	we	we	PRON
ejpam-3222	39	18	investigate	investigate	VERB
ejpam-3222	39	19	here	here	ADV
ejpam-3222	39	20	the	the	DET
ejpam-3222	39	21	following	follow	VERB
ejpam-3222	39	22	three	three	NUM
ejpam-3222	39	23	most	most	ADV
ejpam-3222	39	24	interesting	interesting	ADJ
ejpam-3222	39	25	functions	function	NOUN
ejpam-3222	39	26	which	which	PRON
ejpam-3222	39	27	are	be	AUX
ejpam-3222	39	28	related	relate	VERB
ejpam-3222	39	29	closely	closely	ADV
ejpam-3222	39	30	to	to	ADP
ejpam-3222	39	31	such	such	ADJ
ejpam-3222	39	32	entities	entity	NOUN
ejpam-3222	39	33	as	as	ADP
ejpam-3222	39	34	jacobi	jacobi	PROPN
ejpam-3222	39	35	’s	’s	PART
ejpam-3222	39	36	theta	theta	NOUN
ejpam-3222	39	37	functions	function	NOUN
ejpam-3222	39	38	in	in	ADP
ejpam-3222	39	39	the	the	DET
ejpam-3222	39	40	equations	equation	NOUN
ejpam-3222	39	41	(	(	PUNCT
ejpam-3222	39	42	1	1	X
ejpam-3222	39	43	)	)	PUNCT
ejpam-3222	39	44	to	to	ADP
ejpam-3222	39	45	(	(	PUNCT
ejpam-3222	39	46	4	4	NUM
ejpam-3222	39	47	)	)	PUNCT
ejpam-3222	39	48	,	,	PUNCT
ejpam-3222	39	49	ramanujan	ramanujan	PROPN
ejpam-3222	39	50	’s	’s	PART
ejpam-3222	39	51	general	general	ADJ
ejpam-3222	39	52	theta	theta	NOUN
ejpam-3222	39	53	function	function	NOUN
ejpam-3222	39	54	in	in	ADP
ejpam-3222	39	55	(	(	PUNCT
ejpam-3222	39	56	5	5	NUM
ejpam-3222	39	57	)	)	PUNCT
ejpam-3222	39	58	and	and	CCONJ
ejpam-3222	39	59	jacobi	jacobi	PROPN
ejpam-3222	39	60	’s	’s	PART
ejpam-3222	39	61	triple	triple	ADJ
ejpam-3222	39	62	-	-	PUNCT
ejpam-3222	39	63	product	product	NOUN
ejpam-3222	39	64	identity	identity	NOUN
ejpam-3222	39	65	in	in	ADP
ejpam-3222	39	66	(	(	PUNCT
ejpam-3222	39	67	7	7	NUM
ejpam-3222	39	68	)	)	PUNCT
ejpam-3222	39	69	or	or	CCONJ
ejpam-3222	39	70	(	(	PUNCT
ejpam-3222	39	71	8)	8)	NUM
ejpam-3222	39	72	(	(	PUNCT
ejpam-3222	39	73	see	see	VERB
ejpam-3222	39	74	also	also	ADV
ejpam-3222	39	75	[	[	X
ejpam-3222	39	76	1	1	X
ejpam-3222	39	77	]	]	PUNCT
ejpam-3222	39	78	and	and	CCONJ
ejpam-3222	39	79	[	[	X
ejpam-3222	39	80	13	13	NUM
ejpam-3222	39	81	]	]	PUNCT
ejpam-3222	39	82	):	):	PUNCT
ejpam-3222	39	83	f(−q	f(−q	NOUN
ejpam-3222	39	84	)	)	PUNCT
ejpam-3222	39	85	:	:	PUNCT
ejpam-3222	40	1	=	=	PUNCT
ejpam-3222	40	2	f(−q,−q2	f(−q,−q2	PROPN
ejpam-3222	40	3	)	)	PUNCT
ejpam-3222	40	4	=	=	PUNCT
ejpam-3222	41	1	∞∑	∞∑	NUM
ejpam-3222	41	2	n=−∞	n=−∞	NUM
ejpam-3222	41	3	(	(	PUNCT
ejpam-3222	41	4	−1)n	−1)n	X
ejpam-3222	41	5	q	q	X
ejpam-3222	41	6	n(3n−1	n(3n−1	PROPN
ejpam-3222	41	7	)	)	PUNCT
ejpam-3222	41	8	2	2	NUM
ejpam-3222	41	9	=	=	SYM
ejpam-3222	41	10	(	(	PUNCT
ejpam-3222	41	11	q	q	NOUN
ejpam-3222	41	12	;	;	PUNCT
ejpam-3222	41	13	q)∞	q)∞	ADJ
ejpam-3222	41	14	=	=	SYM
ejpam-3222	41	15	1√	1√	NUM
ejpam-3222	41	16	3	3	NUM
ejpam-3222	41	17	q−	q−	PROPN
ejpam-3222	41	18	1	1	NUM
ejpam-3222	41	19	24	24	NUM
ejpam-3222	41	20	ϑ2	ϑ2	NOUN
ejpam-3222	41	21	(	(	PUNCT
ejpam-3222	41	22	π	π	PROPN
ejpam-3222	41	23	6	6	NUM
ejpam-3222	41	24	,	,	PUNCT
ejpam-3222	41	25	x	x	NOUN
ejpam-3222	41	26	1	1	NUM
ejpam-3222	41	27	6	6	NUM
ejpam-3222	41	28	)	)	PUNCT
ejpam-3222	41	29	,	,	PUNCT
ejpam-3222	41	30	(	(	PUNCT
ejpam-3222	41	31	12	12	NUM
ejpam-3222	41	32	)	)	PUNCT
ejpam-3222	41	33	h.	h.	PROPN
ejpam-3222	41	34	m.	m.	PROPN
ejpam-3222	41	35	srivastava	srivastava	PROPN
ejpam-3222	41	36	,	,	PUNCT
ejpam-3222	41	37	m.	m.	NOUN
ejpam-3222	41	38	p.	p.	PROPN
ejpam-3222	41	39	chaudhary	chaudhary	PROPN
ejpam-3222	41	40	,	,	PUNCT
ejpam-3222	41	41	s.	s.	PROPN
ejpam-3222	41	42	chaudhary	chaudhary	PROPN
ejpam-3222	41	43	/	/	SYM
ejpam-3222	41	44	eur	eur	PROPN
ejpam-3222	41	45	.	.	PUNCT
ejpam-3222	42	1	j.	j.	PROPN
ejpam-3222	42	2	pure	pure	PROPN
ejpam-3222	42	3	appl	appl	PROPN
ejpam-3222	42	4	.	.	PROPN
ejpam-3222	42	5	math	math	PROPN
ejpam-3222	42	6	,	,	PUNCT
ejpam-3222	42	7	11	11	NUM
ejpam-3222	42	8	(	(	PUNCT
ejpam-3222	42	9	1	1	NUM
ejpam-3222	42	10	)	)	PUNCT
ejpam-3222	42	11	(	(	PUNCT
ejpam-3222	42	12	2018	2018	NUM
ejpam-3222	42	13	)	)	PUNCT
ejpam-3222	42	14	,	,	PUNCT
ejpam-3222	42	15	1	1	NUM
ejpam-3222	42	16	-	-	SYM
ejpam-3222	42	17	9	9	NUM
ejpam-3222	42	18	4	4	NUM
ejpam-3222	42	19	ϕ(q	ϕ(q	PROPN
ejpam-3222	42	20	)	)	PUNCT
ejpam-3222	42	21	:	:	PUNCT
ejpam-3222	42	22	=	=	PUNCT
ejpam-3222	42	23	f(q	f(q	PROPN
ejpam-3222	42	24	,	,	PUNCT
ejpam-3222	42	25	q	q	NOUN
ejpam-3222	42	26	)	)	PUNCT
ejpam-3222	42	27	=	=	SYM
ejpam-3222	43	1	∞∑	∞∑	NUM
ejpam-3222	43	2	n=−∞	n=−∞	INTJ
ejpam-3222	43	3	qn	qn	INTJ
ejpam-3222	43	4	2	2	NUM
ejpam-3222	43	5	=	=	SYM
ejpam-3222	43	6	(	(	PUNCT
ejpam-3222	43	7	−q	−q	ADJ
ejpam-3222	43	8	;	;	PUNCT
ejpam-3222	43	9	q2)∞	q2)∞	NOUN
ejpam-3222	43	10	(	(	PUNCT
ejpam-3222	43	11	q2	q2	PROPN
ejpam-3222	43	12	;	;	PUNCT
ejpam-3222	43	13	q2)∞	q2)∞	NOUN
ejpam-3222	43	14	(	(	PUNCT
ejpam-3222	43	15	q	q	NOUN
ejpam-3222	43	16	;	;	PUNCT
ejpam-3222	43	17	q2)∞	q2)∞	NOUN
ejpam-3222	43	18	(	(	PUNCT
ejpam-3222	43	19	−q2	−q2	PROPN
ejpam-3222	43	20	;	;	PUNCT
ejpam-3222	43	21	q2)∞	q2)∞	NOUN
ejpam-3222	43	22	=	=	SYM
ejpam-3222	43	23	ϑ3(0	ϑ3(0	PROPN
ejpam-3222	43	24	,	,	PUNCT
ejpam-3222	43	25	q	q	NOUN
ejpam-3222	43	26	)	)	PUNCT
ejpam-3222	43	27	(	(	PUNCT
ejpam-3222	43	28	13	13	NUM
ejpam-3222	43	29	)	)	PUNCT
ejpam-3222	43	30	and	and	CCONJ
ejpam-3222	43	31	ψ(q	ψ(q	PROPN
ejpam-3222	43	32	)	)	PUNCT
ejpam-3222	43	33	:	:	PUNCT
ejpam-3222	43	34	=	=	PUNCT
ejpam-3222	43	35	f(q	f(q	PROPN
ejpam-3222	43	36	,	,	PUNCT
ejpam-3222	43	37	q3	q3	PROPN
ejpam-3222	43	38	)	)	PUNCT
ejpam-3222	43	39	=	=	PUNCT
ejpam-3222	44	1	∞∑	∞∑	NUM
ejpam-3222	44	2	n=0	n=0	NUM
ejpam-3222	44	3	q	q	NOUN
ejpam-3222	44	4	n(n+1	n(n+1	NUM
ejpam-3222	44	5	)	)	PUNCT
ejpam-3222	44	6	2	2	NUM
ejpam-3222	44	7	=	=	SYM
ejpam-3222	44	8	(	(	PUNCT
ejpam-3222	44	9	q2	q2	NOUN
ejpam-3222	44	10	;	;	PUNCT
ejpam-3222	44	11	q2)∞	q2)∞	NOUN
ejpam-3222	44	12	(	(	PUNCT
ejpam-3222	44	13	q	q	NOUN
ejpam-3222	44	14	;	;	PUNCT
ejpam-3222	45	1	q2)∞	q2)∞	NOUN
ejpam-3222	45	2	=	=	NOUN
ejpam-3222	45	3	1	1	NUM
ejpam-3222	45	4	2	2	NUM
ejpam-3222	45	5	q−	q−	PROPN
ejpam-3222	45	6	1	1	NUM
ejpam-3222	45	7	8	8	NUM
ejpam-3222	45	8	[	[	PUNCT
ejpam-3222	45	9	ϑ2	ϑ2	PROPN
ejpam-3222	45	10	(	(	PUNCT
ejpam-3222	45	11	0	0	NUM
ejpam-3222	45	12	,	,	PUNCT
ejpam-3222	45	13	√	√	ADP
ejpam-3222	45	14	q	q	NOUN
ejpam-3222	45	15	)	)	PUNCT
ejpam-3222	45	16	−	−	PROPN
ejpam-3222	45	17	1	1	NUM
ejpam-3222	45	18	]	]	PUNCT
ejpam-3222	45	19	.	.	PUNCT
ejpam-3222	46	1	(	(	PUNCT
ejpam-3222	46	2	14	14	NUM
ejpam-3222	46	3	)	)	PUNCT
ejpam-3222	46	4	the	the	DET
ejpam-3222	46	5	main	main	ADJ
ejpam-3222	46	6	object	object	NOUN
ejpam-3222	46	7	of	of	ADP
ejpam-3222	46	8	the	the	DET
ejpam-3222	46	9	present	present	ADJ
ejpam-3222	46	10	article	article	NOUN
ejpam-3222	46	11	is	be	AUX
ejpam-3222	46	12	to	to	PART
ejpam-3222	46	13	prove	prove	VERB
ejpam-3222	46	14	two	two	NUM
ejpam-3222	46	15	(	(	PUNCT
ejpam-3222	46	16	presumably	presumably	ADV
ejpam-3222	46	17	new	new	ADJ
ejpam-3222	46	18	)	)	PUNCT
ejpam-3222	46	19	q	q	NOUN
ejpam-3222	46	20	-	-	PUNCT
ejpam-3222	46	21	identities	identity	NOUN
ejpam-3222	46	22	which	which	PRON
ejpam-3222	46	23	provide	provide	VERB
ejpam-3222	46	24	interesting	interesting	ADJ
ejpam-3222	46	25	relationships	relationship	NOUN
ejpam-3222	46	26	among	among	ADP
ejpam-3222	46	27	the	the	DET
ejpam-3222	46	28	above	above	ADV
ejpam-3222	46	29	-	-	PUNCT
ejpam-3222	46	30	defined	define	VERB
ejpam-3222	46	31	three	three	NUM
ejpam-3222	46	32	ϑ-type	ϑ-type	NOUN
ejpam-3222	46	33	functions	function	NOUN
ejpam-3222	46	34	f(−q	f(−q	NOUN
ejpam-3222	46	35	)	)	PUNCT
ejpam-3222	46	36	,	,	PUNCT
ejpam-3222	46	37	ϕ(q	ϕ(q	PROPN
ejpam-3222	46	38	)	)	PUNCT
ejpam-3222	46	39	and	and	CCONJ
ejpam-3222	46	40	ψ(q	ψ(q	PROPN
ejpam-3222	46	41	)	)	PUNCT
ejpam-3222	46	42	,	,	PUNCT
ejpam-3222	46	43	each	each	PRON
ejpam-3222	46	44	of	of	ADP
ejpam-3222	46	45	which	which	PRON
ejpam-3222	46	46	arises	arise	VERB
ejpam-3222	46	47	from	from	ADP
ejpam-3222	46	48	jacobi	jacobi	PROPN
ejpam-3222	46	49	’s	’s	PART
ejpam-3222	46	50	triple	triple	ADJ
ejpam-3222	46	51	-	-	PUNCT
ejpam-3222	46	52	product	product	NOUN
ejpam-3222	46	53	identity	identity	NOUN
ejpam-3222	46	54	(	(	PUNCT
ejpam-3222	46	55	8)	8)	NUM
ejpam-3222	46	56	in	in	ADP
ejpam-3222	46	57	a	a	DET
ejpam-3222	46	58	remarkably	remarkably	ADV
ejpam-3222	46	59	simple	simple	ADJ
ejpam-3222	46	60	way	way	NOUN
ejpam-3222	46	61	.	.	PUNCT
ejpam-3222	47	1	for	for	ADP
ejpam-3222	47	2	more	more	ADJ
ejpam-3222	47	3	details	detail	NOUN
ejpam-3222	47	4	and	and	CCONJ
ejpam-3222	47	5	further	further	ADJ
ejpam-3222	47	6	results	result	NOUN
ejpam-3222	47	7	,	,	PUNCT
ejpam-3222	47	8	the	the	DET
ejpam-3222	47	9	interested	interested	ADJ
ejpam-3222	47	10	reader	reader	NOUN
ejpam-3222	47	11	may	may	AUX
ejpam-3222	47	12	be	be	AUX
ejpam-3222	47	13	referred	refer	VERB
ejpam-3222	47	14	to	to	ADP
ejpam-3222	47	15	the	the	DET
ejpam-3222	47	16	works	work	NOUN
ejpam-3222	47	17	presented	present	VERB
ejpam-3222	47	18	in	in	ADP
ejpam-3222	47	19	[	[	X
ejpam-3222	47	20	1	1	NUM
ejpam-3222	47	21	]	]	PUNCT
ejpam-3222	47	22	,	,	PUNCT
ejpam-3222	47	23	[	[	X
ejpam-3222	47	24	2	2	NUM
ejpam-3222	47	25	]	]	PUNCT
ejpam-3222	47	26	,	,	PUNCT
ejpam-3222	47	27	[	[	X
ejpam-3222	47	28	3	3	NUM
ejpam-3222	47	29	]	]	PUNCT
ejpam-3222	47	30	,	,	PUNCT
ejpam-3222	47	31	[	[	X
ejpam-3222	47	32	6	6	NUM
ejpam-3222	47	33	]	]	PUNCT
ejpam-3222	47	34	,	,	PUNCT
ejpam-3222	47	35	[	[	X
ejpam-3222	47	36	7	7	NUM
ejpam-3222	47	37	]	]	PUNCT
ejpam-3222	47	38	,	,	PUNCT
ejpam-3222	47	39	[	[	X
ejpam-3222	47	40	8	8	NUM
ejpam-3222	47	41	]	]	PUNCT
ejpam-3222	47	42	and	and	CCONJ
ejpam-3222	47	43	[	[	X
ejpam-3222	47	44	13	13	NUM
ejpam-3222	47	45	]	]	PUNCT
ejpam-3222	47	46	.	.	PUNCT
ejpam-3222	48	1	2	2	X
ejpam-3222	48	2	.	.	X
ejpam-3222	48	3	the	the	DET
ejpam-3222	48	4	main	main	ADJ
ejpam-3222	48	5	results	result	NOUN
ejpam-3222	48	6	in	in	ADP
ejpam-3222	48	7	this	this	DET
ejpam-3222	48	8	section	section	NOUN
ejpam-3222	48	9	,	,	PUNCT
ejpam-3222	48	10	we	we	PRON
ejpam-3222	48	11	begin	begin	VERB
ejpam-3222	48	12	by	by	ADP
ejpam-3222	48	13	expressing	express	VERB
ejpam-3222	48	14	the	the	DET
ejpam-3222	48	15	functions	function	NOUN
ejpam-3222	48	16	f(−q	f(−q	ADJ
ejpam-3222	48	17	)	)	PUNCT
ejpam-3222	48	18	,	,	PUNCT
ejpam-3222	48	19	ϕ(q	ϕ(q	PROPN
ejpam-3222	48	20	)	)	PUNCT
ejpam-3222	48	21	and	and	CCONJ
ejpam-3222	48	22	ψ(q	ψ(q	PROPN
ejpam-3222	48	23	)	)	PUNCT
ejpam-3222	48	24	in	in	ADP
ejpam-3222	48	25	rising	rise	VERB
ejpam-3222	48	26	powers	power	NOUN
ejpam-3222	48	27	of	of	ADP
ejpam-3222	48	28	q	q	NOUN
ejpam-3222	48	29	as	as	SCONJ
ejpam-3222	48	30	follows	follow	VERB
ejpam-3222	48	31	:	:	PUNCT
ejpam-3222	48	32	f(−q	f(−q	ADJ
ejpam-3222	48	33	)	)	PUNCT
ejpam-3222	49	1	=	=	SYM
ejpam-3222	49	2	1	1	NUM
ejpam-3222	49	3	+	+	NUM
ejpam-3222	49	4	∞∑	∞∑	NUM
ejpam-3222	49	5	n=1	n=1	PROPN
ejpam-3222	49	6	(	(	PUNCT
ejpam-3222	49	7	−1)n	−1)n	X
ejpam-3222	49	8	(	(	PUNCT
ejpam-3222	49	9	q	q	X
ejpam-3222	49	10	n(3n−1	n(3n−1	PROPN
ejpam-3222	49	11	)	)	PUNCT
ejpam-3222	49	12	2	2	NUM
ejpam-3222	49	13	+	+	CCONJ
ejpam-3222	49	14	q	q	NOUN
ejpam-3222	49	15	n(3n+1	n(3n+1	NOUN
ejpam-3222	49	16	)	)	PUNCT
ejpam-3222	49	17	2	2	NUM
ejpam-3222	49	18	)	)	PUNCT
ejpam-3222	49	19	=	=	SYM
ejpam-3222	50	1	1−	1−	NUM
ejpam-3222	50	2	q	q	NOUN
ejpam-3222	50	3	−	−	PROPN
ejpam-3222	50	4	q2	q2	NOUN
ejpam-3222	50	5	+	+	CCONJ
ejpam-3222	50	6	q5	q5	PROPN
ejpam-3222	50	7	+	+	CCONJ
ejpam-3222	50	8	q7	q7	PROPN
ejpam-3222	50	9	−	−	PROPN
ejpam-3222	50	10	q12	q12	NOUN
ejpam-3222	50	11	−	−	PROPN
ejpam-3222	50	12	q15	q15	PRON
ejpam-3222	50	13	+	+	CCONJ
ejpam-3222	50	14	q22	q22	NOUN
ejpam-3222	50	15	+	+	CCONJ
ejpam-3222	50	16	q26	q26	NOUN
ejpam-3222	50	17	−	−	PROPN
ejpam-3222	50	18	·	·	PUNCT
ejpam-3222	50	19	·	·	PUNCT
ejpam-3222	50	20	·	·	PUNCT
ejpam-3222	50	21	,	,	PUNCT
ejpam-3222	50	22	(	(	PUNCT
ejpam-3222	50	23	15	15	X
ejpam-3222	50	24	)	)	PUNCT
ejpam-3222	50	25	ϕ(q	ϕ(q	PROPN
ejpam-3222	50	26	)	)	PUNCT
ejpam-3222	50	27	=	=	SYM
ejpam-3222	51	1	1	1	NUM
ejpam-3222	51	2	+	+	NUM
ejpam-3222	51	3	2	2	NUM
ejpam-3222	52	1	∞∑	∞∑	NUM
ejpam-3222	52	2	n=1	n=1	NOUN
ejpam-3222	52	3	qn	qn	NOUN
ejpam-3222	52	4	2	2	NUM
ejpam-3222	52	5	=	=	SYM
ejpam-3222	52	6	1	1	NUM
ejpam-3222	52	7	+	+	NUM
ejpam-3222	52	8	2q	2q	NUM
ejpam-3222	52	9	+	+	CCONJ
ejpam-3222	52	10	2q4	2q4	NUM
ejpam-3222	53	1	+	+	CCONJ
ejpam-3222	53	2	2q9	2q9	NUM
ejpam-3222	53	3	+	+	CCONJ
ejpam-3222	53	4	2q16	2q16	NUM
ejpam-3222	53	5	+	+	X
ejpam-3222	53	6	·	·	PUNCT
ejpam-3222	53	7	·	·	PUNCT
ejpam-3222	53	8	·	·	PUNCT
ejpam-3222	53	9	(	(	PUNCT
ejpam-3222	53	10	16	16	NUM
ejpam-3222	53	11	)	)	PUNCT
ejpam-3222	53	12	and	and	CCONJ
ejpam-3222	53	13	ψ(q	ψ(q	PROPN
ejpam-3222	53	14	)	)	PUNCT
ejpam-3222	53	15	=	=	SYM
ejpam-3222	54	1	1	1	NUM
ejpam-3222	54	2	+	+	NUM
ejpam-3222	54	3	∞∑	∞∑	NUM
ejpam-3222	54	4	n=1	n=1	PROPN
ejpam-3222	54	5	q	q	PROPN
ejpam-3222	54	6	n(n+1	n(n+1	PROPN
ejpam-3222	54	7	)	)	PUNCT
ejpam-3222	54	8	2	2	NUM
ejpam-3222	54	9	=	=	SYM
ejpam-3222	54	10	1	1	NUM
ejpam-3222	54	11	+	+	CCONJ
ejpam-3222	54	12	q	q	NOUN
ejpam-3222	54	13	+	+	NUM
ejpam-3222	54	14	q3	q3	NOUN
ejpam-3222	54	15	+	+	CCONJ
ejpam-3222	54	16	q6	q6	PROPN
ejpam-3222	54	17	+	+	CCONJ
ejpam-3222	54	18	q10	q10	PROPN
ejpam-3222	55	1	+	+	CCONJ
ejpam-3222	55	2	q15	q15	ADJ
ejpam-3222	55	3	+	+	NOUN
ejpam-3222	55	4	·	·	PUNCT
ejpam-3222	55	5	·	·	PUNCT
ejpam-3222	55	6	·	·	PUNCT
ejpam-3222	55	7	.	.	PUNCT
ejpam-3222	56	1	(	(	PUNCT
ejpam-3222	56	2	17	17	NUM
ejpam-3222	56	3	)	)	PUNCT
ejpam-3222	56	4	we	we	PRON
ejpam-3222	56	5	now	now	ADV
ejpam-3222	56	6	state	state	VERB
ejpam-3222	56	7	our	our	PRON
ejpam-3222	56	8	main	main	ADJ
ejpam-3222	56	9	results	result	NOUN
ejpam-3222	56	10	as	as	ADP
ejpam-3222	56	11	the	the	DET
ejpam-3222	56	12	following	follow	VERB
ejpam-3222	56	13	theorem	theorem	PROPN
ejpam-3222	56	14	.	.	PROPN
ejpam-3222	56	15	theorem	theorem	PROPN
ejpam-3222	56	16	.	.	PUNCT
ejpam-3222	57	1	each	each	PRON
ejpam-3222	57	2	of	of	ADP
ejpam-3222	57	3	the	the	DET
ejpam-3222	57	4	following	follow	VERB
ejpam-3222	57	5	relationships	relationship	NOUN
ejpam-3222	57	6	holds	hold	VERB
ejpam-3222	57	7	true	true	ADJ
ejpam-3222	57	8	:	:	PUNCT
ejpam-3222	57	9	2qf(−q3)ψ	2qf(−q3)ψ	NUM
ejpam-3222	57	10	(	(	PUNCT
ejpam-3222	57	11	q9	q9	PROPN
ejpam-3222	57	12	)	)	PUNCT
ejpam-3222	58	1	=	=	SYM
ejpam-3222	58	2	f	f	PROPN
ejpam-3222	58	3	(	(	PUNCT
ejpam-3222	58	4	−q6	−q6	PROPN
ejpam-3222	58	5	)	)	PUNCT
ejpam-3222	58	6	[	[	PUNCT
ejpam-3222	58	7	ϕ	ϕ	X
ejpam-3222	58	8	(	(	PUNCT
ejpam-3222	58	9	−q9	−q9	PROPN
ejpam-3222	58	10	)	)	PUNCT
ejpam-3222	58	11	−	−	PROPN
ejpam-3222	58	12	ϕ(−q	ϕ(−q	NOUN
ejpam-3222	58	13	)	)	PUNCT
ejpam-3222	58	14	]	]	PUNCT
ejpam-3222	58	15	(	(	PUNCT
ejpam-3222	58	16	18	18	NUM
ejpam-3222	58	17	)	)	PUNCT
ejpam-3222	58	18	and	and	CCONJ
ejpam-3222	58	19	2f(−q)f	2f(−q)f	NUM
ejpam-3222	58	20	(	(	PUNCT
ejpam-3222	58	21	−q2	−q2	PROPN
ejpam-3222	58	22	)	)	PUNCT
ejpam-3222	58	23	=	=	SYM
ejpam-3222	59	1	ϕ	ϕ	PROPN
ejpam-3222	59	2	(	(	PUNCT
ejpam-3222	59	3	q4	q4	PROPN
ejpam-3222	59	4	)	)	PUNCT
ejpam-3222	59	5	[	[	PUNCT
ejpam-3222	59	6	ψ(q	ψ(q	X
ejpam-3222	59	7	)	)	PUNCT
ejpam-3222	60	1	+	+	CCONJ
ejpam-3222	60	2	qψ	qψ	PROPN
ejpam-3222	60	3	(	(	PUNCT
ejpam-3222	60	4	q9	q9	PROPN
ejpam-3222	60	5	)	)	PUNCT
ejpam-3222	60	6	]	]	PUNCT
ejpam-3222	61	1	+	+	CCONJ
ejpam-3222	61	2	ϕ	ϕ	X
ejpam-3222	61	3	(	(	PUNCT
ejpam-3222	61	4	q36	q36	PROPN
ejpam-3222	61	5	)	)	PUNCT
ejpam-3222	61	6	[	[	PUNCT
ejpam-3222	61	7	ψ(q)−	ψ(q)−	PROPN
ejpam-3222	61	8	3qψ	3qψ	NOUN
ejpam-3222	61	9	(	(	PUNCT
ejpam-3222	61	10	q9	q9	PROPN
ejpam-3222	61	11	)	)	PUNCT
ejpam-3222	61	12	]	]	PUNCT
ejpam-3222	61	13	h.	h.	PROPN
ejpam-3222	61	14	m.	m.	PROPN
ejpam-3222	61	15	srivastava	srivastava	PROPN
ejpam-3222	61	16	,	,	PUNCT
ejpam-3222	61	17	m.	m.	NOUN
ejpam-3222	61	18	p.	p.	PROPN
ejpam-3222	61	19	chaudhary	chaudhary	PROPN
ejpam-3222	61	20	,	,	PUNCT
ejpam-3222	61	21	s.	s.	PROPN
ejpam-3222	61	22	chaudhary	chaudhary	PROPN
ejpam-3222	61	23	/	/	SYM
ejpam-3222	61	24	eur	eur	PROPN
ejpam-3222	61	25	.	.	PUNCT
ejpam-3222	62	1	j.	j.	PROPN
ejpam-3222	62	2	pure	pure	PROPN
ejpam-3222	62	3	appl	appl	PROPN
ejpam-3222	62	4	.	.	PROPN
ejpam-3222	62	5	math	math	PROPN
ejpam-3222	62	6	,	,	PUNCT
ejpam-3222	62	7	11	11	NUM
ejpam-3222	62	8	(	(	PUNCT
ejpam-3222	62	9	1	1	NUM
ejpam-3222	62	10	)	)	PUNCT
ejpam-3222	62	11	(	(	PUNCT
ejpam-3222	62	12	2018	2018	NUM
ejpam-3222	62	13	)	)	PUNCT
ejpam-3222	62	14	,	,	PUNCT
ejpam-3222	62	15	1	1	NUM
ejpam-3222	62	16	-	-	SYM
ejpam-3222	62	17	9	9	NUM
ejpam-3222	62	18	5	5	NUM
ejpam-3222	62	19	−	−	NUM
ejpam-3222	62	20	2qψ(q	2qψ(q	NUM
ejpam-3222	62	21	)	)	PUNCT
ejpam-3222	62	22	[	[	PUNCT
ejpam-3222	62	23	ψ	ψ	X
ejpam-3222	62	24	(	(	PUNCT
ejpam-3222	62	25	q8	q8	PROPN
ejpam-3222	62	26	)	)	PUNCT
ejpam-3222	63	1	+	+	CCONJ
ejpam-3222	64	1	q8ψ	q8ψ	PROPN
ejpam-3222	64	2	(	(	PUNCT
ejpam-3222	64	3	q72	q72	PROPN
ejpam-3222	64	4	)	)	PUNCT
ejpam-3222	64	5	]	]	PUNCT
ejpam-3222	65	1	−	−	PROPN
ejpam-3222	65	2	2q2ψ	2q2ψ	NUM
ejpam-3222	65	3	(	(	PUNCT
ejpam-3222	65	4	q9	q9	PROPN
ejpam-3222	65	5	)	)	PUNCT
ejpam-3222	65	6	[	[	PUNCT
ejpam-3222	65	7	ψ	ψ	X
ejpam-3222	65	8	(	(	PUNCT
ejpam-3222	65	9	q8	q8	PROPN
ejpam-3222	65	10	)	)	PUNCT
ejpam-3222	65	11	−	−	PROPN
ejpam-3222	66	1	3q8ψ	3q8ψ	NUM
ejpam-3222	66	2	(	(	PUNCT
ejpam-3222	66	3	q72	q72	PROPN
ejpam-3222	66	4	)	)	PUNCT
ejpam-3222	66	5	]	]	PUNCT
ejpam-3222	66	6	,	,	PUNCT
ejpam-3222	66	7	(	(	PUNCT
ejpam-3222	66	8	19	19	NUM
ejpam-3222	66	9	)	)	PUNCT
ejpam-3222	66	10	where	where	SCONJ
ejpam-3222	66	11	the	the	DET
ejpam-3222	66	12	functions	function	NOUN
ejpam-3222	66	13	f(q	f(q	PROPN
ejpam-3222	66	14	)	)	PUNCT
ejpam-3222	66	15	,	,	PUNCT
ejpam-3222	66	16	ϕ(q	ϕ(q	PROPN
ejpam-3222	66	17	)	)	PUNCT
ejpam-3222	66	18	and	and	CCONJ
ejpam-3222	66	19	ψ(q	ψ(q	PROPN
ejpam-3222	66	20	)	)	PUNCT
ejpam-3222	66	21	are	be	AUX
ejpam-3222	66	22	given	give	VERB
ejpam-3222	66	23	by	by	ADP
ejpam-3222	66	24	(	(	PUNCT
ejpam-3222	66	25	12	12	NUM
ejpam-3222	66	26	)	)	PUNCT
ejpam-3222	66	27	,	,	PUNCT
ejpam-3222	66	28	(	(	PUNCT
ejpam-3222	66	29	13	13	NUM
ejpam-3222	66	30	)	)	PUNCT
ejpam-3222	66	31	and	and	CCONJ
ejpam-3222	66	32	(	(	PUNCT
ejpam-3222	66	33	14	14	NUM
ejpam-3222	66	34	)	)	PUNCT
ejpam-3222	66	35	,	,	PUNCT
ejpam-3222	66	36	respectively	respectively	ADV
ejpam-3222	66	37	.	.	PUNCT
ejpam-3222	67	1	proof	proof	NOUN
ejpam-3222	67	2	.	.	PUNCT
ejpam-3222	68	1	first	first	ADV
ejpam-3222	68	2	of	of	ADP
ejpam-3222	68	3	all	all	PRON
ejpam-3222	68	4	,	,	PUNCT
ejpam-3222	68	5	we	we	PRON
ejpam-3222	68	6	shall	shall	AUX
ejpam-3222	68	7	prove	prove	VERB
ejpam-3222	68	8	our	our	PRON
ejpam-3222	68	9	first	first	ADJ
ejpam-3222	68	10	q	q	NOUN
ejpam-3222	68	11	-	-	PUNCT
ejpam-3222	68	12	identity	identity	NOUN
ejpam-3222	68	13	(	(	PUNCT
ejpam-3222	68	14	18	18	NUM
ejpam-3222	68	15	)	)	PUNCT
ejpam-3222	68	16	.	.	PUNCT
ejpam-3222	69	1	let	let	AUX
ejpam-3222	69	2	l1(q	l1(q	ADV
ejpam-3222	69	3	)	)	PUNCT
ejpam-3222	69	4	and	and	CCONJ
ejpam-3222	69	5	r1(q	r1(q	NOUN
ejpam-3222	69	6	)	)	PUNCT
ejpam-3222	69	7	denote	denote	VERB
ejpam-3222	69	8	the	the	DET
ejpam-3222	69	9	left	left	ADJ
ejpam-3222	69	10	-	-	PUNCT
ejpam-3222	69	11	hand	hand	NOUN
ejpam-3222	69	12	and	and	CCONJ
ejpam-3222	69	13	the	the	DET
ejpam-3222	69	14	right	right	ADJ
ejpam-3222	69	15	-	-	PUNCT
ejpam-3222	69	16	hand	hand	NOUN
ejpam-3222	69	17	sides	side	NOUN
ejpam-3222	69	18	of	of	ADP
ejpam-3222	69	19	the	the	DET
ejpam-3222	69	20	q	q	NOUN
ejpam-3222	69	21	-	-	PUNCT
ejpam-3222	69	22	identity	identity	NOUN
ejpam-3222	69	23	(	(	PUNCT
ejpam-3222	69	24	18	18	NUM
ejpam-3222	69	25	)	)	PUNCT
ejpam-3222	69	26	,	,	PUNCT
ejpam-3222	69	27	respectively	respectively	ADV
ejpam-3222	69	28	.	.	PUNCT
ejpam-3222	70	1	then	then	ADV
ejpam-3222	70	2	,	,	PUNCT
ejpam-3222	70	3	in	in	ADP
ejpam-3222	70	4	order	order	NOUN
ejpam-3222	70	5	to	to	PART
ejpam-3222	70	6	compute	compute	VERB
ejpam-3222	70	7	the	the	DET
ejpam-3222	70	8	value	value	NOUN
ejpam-3222	70	9	for	for	ADP
ejpam-3222	70	10	l1(q	l1(q	ADV
ejpam-3222	70	11	)	)	PUNCT
ejpam-3222	70	12	,	,	PUNCT
ejpam-3222	70	13	by	by	ADP
ejpam-3222	70	14	using	use	VERB
ejpam-3222	70	15	(	(	PUNCT
ejpam-3222	70	16	15	15	NUM
ejpam-3222	70	17	)	)	PUNCT
ejpam-3222	70	18	(	(	PUNCT
ejpam-3222	70	19	for	for	ADP
ejpam-3222	70	20	q	q	PROPN
ejpam-3222	70	21	7→	7→	NUM
ejpam-3222	70	22	q3	q3	NOUN
ejpam-3222	70	23	)	)	PUNCT
ejpam-3222	70	24	and	and	CCONJ
ejpam-3222	70	25	(	(	PUNCT
ejpam-3222	70	26	17	17	NUM
ejpam-3222	70	27	)	)	PUNCT
ejpam-3222	70	28	(	(	PUNCT
ejpam-3222	70	29	for	for	ADP
ejpam-3222	70	30	q	q	PROPN
ejpam-3222	70	31	7→	7→	NUM
ejpam-3222	70	32	q9	q9	PROPN
ejpam-3222	70	33	)	)	PUNCT
ejpam-3222	70	34	,	,	PUNCT
ejpam-3222	70	35	we	we	PRON
ejpam-3222	70	36	have	have	VERB
ejpam-3222	70	37	l1(q	l1(q	ADV
ejpam-3222	70	38	)	)	PUNCT
ejpam-3222	71	1	=	=	SYM
ejpam-3222	71	2	2q	2q	NUM
ejpam-3222	71	3	(	(	PUNCT
ejpam-3222	71	4	1−	1−	NUM
ejpam-3222	71	5	q3	q3	NOUN
ejpam-3222	71	6	−	−	PROPN
ejpam-3222	71	7	q6	q6	PROPN
ejpam-3222	71	8	+	+	CCONJ
ejpam-3222	71	9	q15	q15	ADJ
ejpam-3222	71	10	+	+	CCONJ
ejpam-3222	71	11	q21	q21	NOUN
ejpam-3222	71	12	−	−	PROPN
ejpam-3222	71	13	·	·	PUNCT
ejpam-3222	71	14	·	·	PUNCT
ejpam-3222	71	15	·	·	PUNCT
ejpam-3222	71	16	)	)	PUNCT
ejpam-3222	71	17	·	·	PUNCT
ejpam-3222	72	1	(	(	PUNCT
ejpam-3222	72	2	1	1	NUM
ejpam-3222	72	3	+	+	CCONJ
ejpam-3222	72	4	q9	q9	NOUN
ejpam-3222	72	5	+	+	CCONJ
ejpam-3222	72	6	q27	q27	NOUN
ejpam-3222	72	7	+	+	CCONJ
ejpam-3222	72	8	q54	q54	NOUN
ejpam-3222	72	9	+	+	CCONJ
ejpam-3222	72	10	q90	q90	NOUN
ejpam-3222	72	11	+	+	PROPN
ejpam-3222	72	12	q135	q135	PROPN
ejpam-3222	72	13	+	+	CCONJ
ejpam-3222	72	14	q189	q189	PROPN
ejpam-3222	72	15	+	+	CCONJ
ejpam-3222	72	16	q252	q252	PROPN
ejpam-3222	73	1	+	+	NUM
ejpam-3222	73	2	·	·	PUNCT
ejpam-3222	73	3	·	·	PUNCT
ejpam-3222	73	4	·	·	PUNCT
ejpam-3222	73	5	)	)	PUNCT
ejpam-3222	73	6	,	,	PUNCT
ejpam-3222	73	7	which	which	PRON
ejpam-3222	73	8	,	,	PUNCT
ejpam-3222	73	9	after	after	ADP
ejpam-3222	73	10	multiplication	multiplication	NOUN
ejpam-3222	73	11	and	and	CCONJ
ejpam-3222	73	12	further	further	ADJ
ejpam-3222	73	13	simplification	simplification	NOUN
ejpam-3222	73	14	,	,	PUNCT
ejpam-3222	73	15	yields	yield	NOUN
ejpam-3222	73	16	l1(q	l1(q	ADV
ejpam-3222	73	17	)	)	PUNCT
ejpam-3222	73	18	=	=	NOUN
ejpam-3222	73	19	2q	2q	NUM
ejpam-3222	74	1	−	−	NUM
ejpam-3222	74	2	2q4	2q4	NUM
ejpam-3222	74	3	−	−	NOUN
ejpam-3222	74	4	2q7	2q7	NUM
ejpam-3222	75	1	+	+	NUM
ejpam-3222	75	2	2q10	2q10	NUM
ejpam-3222	75	3	−	−	PROPN
ejpam-3222	75	4	2q13	2q13	NUM
ejpam-3222	75	5	+	+	NOUN
ejpam-3222	75	6	2q22	2q22	NOUN
ejpam-3222	75	7	+	+	NUM
ejpam-3222	75	8	2q25	2q25	NOUN
ejpam-3222	75	9	+	+	CCONJ
ejpam-3222	75	10	2q28	2q28	NOUN
ejpam-3222	76	1	−	−	NUM
ejpam-3222	76	2	2q34	2q34	NOUN
ejpam-3222	76	3	−	−	NOUN
ejpam-3222	77	1	2q37	2q37	PROPN
ejpam-3222	78	1	+	+	CCONJ
ejpam-3222	78	2	2q43	2q43	NUM
ejpam-3222	78	3	−	−	PROPN
ejpam-3222	78	4	4q46	4q46	NOUN
ejpam-3222	79	1	+	+	CCONJ
ejpam-3222	79	2	2q49	2q49	NOUN
ejpam-3222	79	3	−	−	NOUN
ejpam-3222	79	4	2q58	2q58	NUM
ejpam-3222	79	5	−	−	NOUN
ejpam-3222	79	6	2q61	2q61	NOUN
ejpam-3222	79	7	−	−	NOUN
ejpam-3222	79	8	2q64	2q64	NOUN
ejpam-3222	79	9	+	+	CCONJ
ejpam-3222	79	10	2q67	2q67	NOUN
ejpam-3222	79	11	+	+	CCONJ
ejpam-3222	79	12	2q70	2q70	NOUN
ejpam-3222	79	13	−	−	PROPN
ejpam-3222	79	14	2q73	2q73	NUM
ejpam-3222	80	1	+	+	CCONJ
ejpam-3222	80	2	4q76	4q76	NUM
ejpam-3222	80	3	+	+	CCONJ
ejpam-3222	80	4	2q79	2q79	ADJ
ejpam-3222	80	5	+	+	CCONJ
ejpam-3222	80	6	2q88	2q88	NUM
ejpam-3222	80	7	−	−	ADP
ejpam-3222	80	8	2q97	2q97	NOUN
ejpam-3222	80	9	−	−	NOUN
ejpam-3222	81	1	2q100	2q100	NUM
ejpam-3222	81	2	+	+	CCONJ
ejpam-3222	81	3	·	·	PUNCT
ejpam-3222	81	4	·	·	PUNCT
ejpam-3222	81	5	·	·	PUNCT
ejpam-3222	81	6	.	.	PUNCT
ejpam-3222	82	1	(	(	PUNCT
ejpam-3222	82	2	20	20	NUM
ejpam-3222	82	3	)	)	PUNCT
ejpam-3222	82	4	in	in	ADP
ejpam-3222	82	5	a	a	DET
ejpam-3222	82	6	similar	similar	ADJ
ejpam-3222	82	7	way	way	NOUN
ejpam-3222	82	8	,	,	PUNCT
ejpam-3222	82	9	we	we	PRON
ejpam-3222	82	10	can	can	AUX
ejpam-3222	82	11	compute	compute	VERB
ejpam-3222	82	12	the	the	DET
ejpam-3222	82	13	value	value	NOUN
ejpam-3222	82	14	for	for	ADP
ejpam-3222	82	15	r1(q	r1(q	NOUN
ejpam-3222	82	16	)	)	PUNCT
ejpam-3222	82	17	by	by	ADP
ejpam-3222	82	18	applying	apply	VERB
ejpam-3222	82	19	(	(	PUNCT
ejpam-3222	82	20	15	15	NUM
ejpam-3222	82	21	)	)	PUNCT
ejpam-3222	82	22	(	(	PUNCT
ejpam-3222	82	23	for	for	ADP
ejpam-3222	82	24	q	q	PROPN
ejpam-3222	82	25	7→	7→	NUM
ejpam-3222	82	26	q6	q6	NOUN
ejpam-3222	82	27	)	)	PUNCT
ejpam-3222	82	28	and	and	CCONJ
ejpam-3222	82	29	(	(	PUNCT
ejpam-3222	82	30	16	16	NUM
ejpam-3222	82	31	)	)	PUNCT
ejpam-3222	82	32	(	(	PUNCT
ejpam-3222	82	33	for	for	ADP
ejpam-3222	82	34	q	q	PROPN
ejpam-3222	82	35	7→	7→	PROPN
ejpam-3222	82	36	−q	−q	NOUN
ejpam-3222	82	37	and	and	CCONJ
ejpam-3222	82	38	q	q	PROPN
ejpam-3222	82	39	7→	7→	NUM
ejpam-3222	82	40	−q9	−q9	PROPN
ejpam-3222	82	41	)	)	PUNCT
ejpam-3222	82	42	as	as	SCONJ
ejpam-3222	82	43	follows	follow	VERB
ejpam-3222	82	44	:	:	PUNCT
ejpam-3222	82	45	r1(q	r1(q	X
ejpam-3222	82	46	)	)	PUNCT
ejpam-3222	82	47	=	=	SYM
ejpam-3222	83	1	(	(	PUNCT
ejpam-3222	83	2	1−	1−	NUM
ejpam-3222	83	3	q6	q6	PROPN
ejpam-3222	83	4	−	−	PROPN
ejpam-3222	83	5	q12	q12	PROPN
ejpam-3222	83	6	+	+	CCONJ
ejpam-3222	83	7	q30	q30	PROPN
ejpam-3222	83	8	+	+	CCONJ
ejpam-3222	83	9	q42	q42	PROPN
ejpam-3222	83	10	−	−	PROPN
ejpam-3222	83	11	q72	q72	NOUN
ejpam-3222	83	12	−	−	PROPN
ejpam-3222	83	13	q90	q90	ADV
ejpam-3222	83	14	+	+	CCONJ
ejpam-3222	83	15	·	·	PUNCT
ejpam-3222	83	16	·	·	PUNCT
ejpam-3222	83	17	·	·	PUNCT
ejpam-3222	83	18	)	)	PUNCT
ejpam-3222	83	19	·	·	PUNCT
ejpam-3222	84	1	[	[	PUNCT
ejpam-3222	84	2	(	(	PUNCT
ejpam-3222	84	3	1−	1−	NUM
ejpam-3222	84	4	2q9	2q9	NUM
ejpam-3222	84	5	+	+	CCONJ
ejpam-3222	84	6	2q36	2q36	NUM
ejpam-3222	84	7	−	−	NUM
ejpam-3222	84	8	2q81	2q81	NOUN
ejpam-3222	84	9	+	+	CCONJ
ejpam-3222	84	10	2q144	2q144	NUM
ejpam-3222	84	11	−	−	NUM
ejpam-3222	84	12	2q225	2q225	NUM
ejpam-3222	85	1	+	+	CCONJ
ejpam-3222	85	2	2q324	2q324	NUM
ejpam-3222	85	3	−	−	NOUN
ejpam-3222	85	4	2q441	2q441	NUM
ejpam-3222	85	5	+	+	CCONJ
ejpam-3222	85	6	2q576	2q576	NUM
ejpam-3222	85	7	−	−	NOUN
ejpam-3222	85	8	·	·	PUNCT
ejpam-3222	85	9	·	·	PUNCT
ejpam-3222	85	10	·	·	PUNCT
ejpam-3222	85	11	)	)	PUNCT
ejpam-3222	86	1	−	−	PROPN
ejpam-3222	86	2	(	(	PUNCT
ejpam-3222	86	3	1−	1−	NUM
ejpam-3222	86	4	2q	2q	NUM
ejpam-3222	86	5	+	+	X
ejpam-3222	86	6	2q4	2q4	NUM
ejpam-3222	86	7	−	−	NOUN
ejpam-3222	86	8	2q9	2q9	NUM
ejpam-3222	87	1	+	+	CCONJ
ejpam-3222	87	2	2q16	2q16	NUM
ejpam-3222	87	3	−	−	NOUN
ejpam-3222	87	4	2q25	2q25	NOUN
ejpam-3222	87	5	+	+	CCONJ
ejpam-3222	87	6	2q36	2q36	NUM
ejpam-3222	87	7	−	−	NUM
ejpam-3222	87	8	2q49	2q49	NOUN
ejpam-3222	87	9	+	+	CCONJ
ejpam-3222	87	10	2q64	2q64	NUM
ejpam-3222	87	11	−	−	ADP
ejpam-3222	87	12	2q81	2q81	NUM
ejpam-3222	87	13	+	+	NUM
ejpam-3222	87	14	·	·	PUNCT
ejpam-3222	87	15	·	·	PUNCT
ejpam-3222	87	16	·	·	PUNCT
ejpam-3222	87	17	)	)	PUNCT
ejpam-3222	87	18	]	]	PUNCT
ejpam-3222	87	19	,	,	PUNCT
ejpam-3222	87	20	which	which	PRON
ejpam-3222	87	21	,	,	PUNCT
ejpam-3222	87	22	after	after	ADP
ejpam-3222	87	23	simplification	simplification	NOUN
ejpam-3222	87	24	and	and	CCONJ
ejpam-3222	87	25	by	by	ADP
ejpam-3222	87	26	using	use	VERB
ejpam-3222	87	27	algebraic	algebraic	ADJ
ejpam-3222	87	28	manipulation	manipulation	NOUN
ejpam-3222	87	29	,	,	PUNCT
ejpam-3222	87	30	becomes	become	VERB
ejpam-3222	87	31	r1(q	r1(q	NOUN
ejpam-3222	87	32	)	)	PUNCT
ejpam-3222	87	33	=	=	SYM
ejpam-3222	87	34	2q	2q	NUM
ejpam-3222	88	1	−	−	NUM
ejpam-3222	88	2	2q4	2q4	NUM
ejpam-3222	88	3	−	−	NOUN
ejpam-3222	88	4	2q7	2q7	NUM
ejpam-3222	89	1	+	+	NUM
ejpam-3222	89	2	2q10	2q10	NUM
ejpam-3222	89	3	−	−	PROPN
ejpam-3222	89	4	2q13	2q13	NUM
ejpam-3222	89	5	+	+	NOUN
ejpam-3222	89	6	2q22	2q22	NOUN
ejpam-3222	89	7	+	+	NUM
ejpam-3222	89	8	2q25	2q25	NOUN
ejpam-3222	89	9	+	+	CCONJ
ejpam-3222	89	10	2q28	2q28	NOUN
ejpam-3222	90	1	−	−	NUM
ejpam-3222	90	2	2q34	2q34	NOUN
ejpam-3222	90	3	−	−	NOUN
ejpam-3222	91	1	2q37	2q37	PROPN
ejpam-3222	92	1	+	+	CCONJ
ejpam-3222	92	2	2q43	2q43	NUM
ejpam-3222	92	3	−	−	PROPN
ejpam-3222	92	4	4q46	4q46	NOUN
ejpam-3222	93	1	+	+	CCONJ
ejpam-3222	93	2	2q49	2q49	NOUN
ejpam-3222	93	3	−	−	NOUN
ejpam-3222	93	4	2q58	2q58	NUM
ejpam-3222	93	5	−	−	NOUN
ejpam-3222	93	6	2q61	2q61	NOUN
ejpam-3222	93	7	−	−	NOUN
ejpam-3222	93	8	2q64	2q64	NOUN
ejpam-3222	93	9	+	+	CCONJ
ejpam-3222	93	10	2q67	2q67	NOUN
ejpam-3222	93	11	+	+	CCONJ
ejpam-3222	93	12	2q70	2q70	NOUN
ejpam-3222	93	13	−	−	PROPN
ejpam-3222	93	14	2q73	2q73	NUM
ejpam-3222	94	1	+	+	CCONJ
ejpam-3222	94	2	4q76	4q76	NUM
ejpam-3222	94	3	+	+	CCONJ
ejpam-3222	94	4	2q79	2q79	ADJ
ejpam-3222	94	5	+	+	CCONJ
ejpam-3222	94	6	2q88	2q88	NUM
ejpam-3222	94	7	−	−	ADP
ejpam-3222	94	8	2q97	2q97	NOUN
ejpam-3222	94	9	−	−	NOUN
ejpam-3222	95	1	2q100	2q100	NUM
ejpam-3222	95	2	+	+	CCONJ
ejpam-3222	95	3	·	·	PUNCT
ejpam-3222	95	4	·	·	PUNCT
ejpam-3222	95	5	·	·	PUNCT
ejpam-3222	95	6	.	.	PUNCT
ejpam-3222	96	1	(	(	PUNCT
ejpam-3222	96	2	21	21	NUM
ejpam-3222	96	3	)	)	PUNCT
ejpam-3222	96	4	by	by	ADP
ejpam-3222	96	5	comparing	compare	VERB
ejpam-3222	96	6	the	the	DET
ejpam-3222	96	7	equations	equation	NOUN
ejpam-3222	96	8	(	(	PUNCT
ejpam-3222	96	9	20	20	NUM
ejpam-3222	96	10	)	)	PUNCT
ejpam-3222	96	11	and	and	CCONJ
ejpam-3222	96	12	(	(	PUNCT
ejpam-3222	96	13	21	21	NUM
ejpam-3222	96	14	)	)	PUNCT
ejpam-3222	96	15	,	,	PUNCT
ejpam-3222	96	16	we	we	PRON
ejpam-3222	96	17	readily	readily	ADV
ejpam-3222	96	18	arrive	arrive	VERB
ejpam-3222	96	19	at	at	ADP
ejpam-3222	96	20	the	the	DET
ejpam-3222	96	21	q	q	NOUN
ejpam-3222	96	22	-	-	PUNCT
ejpam-3222	96	23	identity	identity	NOUN
ejpam-3222	96	24	(	(	PUNCT
ejpam-3222	96	25	18	18	NUM
ejpam-3222	96	26	)	)	PUNCT
ejpam-3222	96	27	.	.	PUNCT
ejpam-3222	97	1	we	we	PRON
ejpam-3222	97	2	next	next	ADV
ejpam-3222	97	3	prove	prove	VERB
ejpam-3222	97	4	the	the	DET
ejpam-3222	97	5	second	second	ADJ
ejpam-3222	97	6	q	q	NOUN
ejpam-3222	97	7	-	-	PUNCT
ejpam-3222	97	8	identity	identity	NOUN
ejpam-3222	97	9	(	(	PUNCT
ejpam-3222	97	10	19	19	NUM
ejpam-3222	97	11	)	)	PUNCT
ejpam-3222	97	12	.	.	PUNCT
ejpam-3222	98	1	let	let	VERB
ejpam-3222	98	2	l2(q	l2(q	NOUN
ejpam-3222	98	3	)	)	PUNCT
ejpam-3222	98	4	and	and	CCONJ
ejpam-3222	98	5	r2(q	r2(q	NOUN
ejpam-3222	98	6	)	)	PUNCT
ejpam-3222	98	7	denote	denote	VERB
ejpam-3222	98	8	the	the	DET
ejpam-3222	98	9	left	left	ADJ
ejpam-3222	98	10	-	-	PUNCT
ejpam-3222	98	11	hand	hand	NOUN
ejpam-3222	98	12	and	and	CCONJ
ejpam-3222	98	13	the	the	DET
ejpam-3222	98	14	right	right	ADJ
ejpam-3222	98	15	-	-	PUNCT
ejpam-3222	98	16	hand	hand	NOUN
ejpam-3222	98	17	sides	side	NOUN
ejpam-3222	98	18	of	of	ADP
ejpam-3222	98	19	(	(	PUNCT
ejpam-3222	98	20	19	19	NUM
ejpam-3222	98	21	)	)	PUNCT
ejpam-3222	98	22	,	,	PUNCT
ejpam-3222	98	23	respectively	respectively	ADV
ejpam-3222	98	24	.	.	PUNCT
ejpam-3222	99	1	then	then	ADV
ejpam-3222	99	2	,	,	PUNCT
ejpam-3222	99	3	in	in	ADP
ejpam-3222	99	4	order	order	NOUN
ejpam-3222	99	5	to	to	PART
ejpam-3222	99	6	compute	compute	VERB
ejpam-3222	99	7	the	the	DET
ejpam-3222	99	8	value	value	NOUN
ejpam-3222	99	9	for	for	ADP
ejpam-3222	99	10	l2(q	l2(q	PROPN
ejpam-3222	99	11	)	)	PUNCT
ejpam-3222	99	12	,	,	PUNCT
ejpam-3222	99	13	we	we	PRON
ejpam-3222	99	14	make	make	VERB
ejpam-3222	99	15	use	use	NOUN
ejpam-3222	99	16	of	of	ADP
ejpam-3222	99	17	(	(	PUNCT
ejpam-3222	99	18	15	15	NUM
ejpam-3222	99	19	)	)	PUNCT
ejpam-3222	99	20	(	(	PUNCT
ejpam-3222	99	21	for	for	ADP
ejpam-3222	99	22	q	q	PROPN
ejpam-3222	99	23	7→	7→	NUM
ejpam-3222	99	24	q	q	NOUN
ejpam-3222	99	25	and	and	CCONJ
ejpam-3222	99	26	q	q	PROPN
ejpam-3222	99	27	7→	7→	NUM
ejpam-3222	99	28	q2	q2	NOUN
ejpam-3222	99	29	)	)	PUNCT
ejpam-3222	99	30	as	as	SCONJ
ejpam-3222	99	31	follows	follow	VERB
ejpam-3222	99	32	:	:	PUNCT
ejpam-3222	99	33	l2(q	l2(q	NOUN
ejpam-3222	99	34	)	)	PUNCT
ejpam-3222	99	35	=	=	SYM
ejpam-3222	99	36	2	2	NUM
ejpam-3222	99	37	(	(	PUNCT
ejpam-3222	99	38	1−	1−	NUM
ejpam-3222	99	39	q	q	NOUN
ejpam-3222	99	40	−	−	PROPN
ejpam-3222	99	41	q2	q2	NOUN
ejpam-3222	99	42	+	+	CCONJ
ejpam-3222	99	43	q5	q5	PROPN
ejpam-3222	99	44	+	+	CCONJ
ejpam-3222	99	45	q7	q7	PROPN
ejpam-3222	99	46	−	−	PROPN
ejpam-3222	99	47	q12	q12	NOUN
ejpam-3222	99	48	−	−	PROPN
ejpam-3222	99	49	q15	q15	PRON
ejpam-3222	99	50	+	+	NOUN
ejpam-3222	99	51	·	·	PUNCT
ejpam-3222	99	52	·	·	PUNCT
ejpam-3222	99	53	·	·	PUNCT
ejpam-3222	99	54	)	)	PUNCT
ejpam-3222	99	55	·	·	PUNCT
ejpam-3222	100	1	(	(	PUNCT
ejpam-3222	100	2	1−	1−	NUM
ejpam-3222	100	3	q2	q2	NOUN
ejpam-3222	100	4	−	−	PROPN
ejpam-3222	100	5	q4	q4	PROPN
ejpam-3222	100	6	+	+	CCONJ
ejpam-3222	100	7	q10	q10	PROPN
ejpam-3222	100	8	+	+	CCONJ
ejpam-3222	100	9	q14	q14	NOUN
ejpam-3222	100	10	−	−	PROPN
ejpam-3222	100	11	q24	q24	NOUN
ejpam-3222	100	12	−	−	PROPN
ejpam-3222	100	13	q30	q30	NOUN
ejpam-3222	100	14	+	+	CCONJ
ejpam-3222	100	15	q44	q44	NOUN
ejpam-3222	100	16	+	+	CCONJ
ejpam-3222	100	17	q52	q52	NOUN
ejpam-3222	100	18	−	−	NOUN
ejpam-3222	100	19	·	·	PUNCT
ejpam-3222	100	20	·	·	PUNCT
ejpam-3222	100	21	·	·	PUNCT
ejpam-3222	100	22	)	)	PUNCT
ejpam-3222	100	23	,	,	PUNCT
ejpam-3222	100	24	which	which	PRON
ejpam-3222	100	25	,	,	PUNCT
ejpam-3222	100	26	after	after	ADP
ejpam-3222	100	27	simplification	simplification	NOUN
ejpam-3222	100	28	and	and	CCONJ
ejpam-3222	100	29	by	by	ADP
ejpam-3222	100	30	using	use	VERB
ejpam-3222	100	31	algebraic	algebraic	ADJ
ejpam-3222	100	32	manipulation	manipulation	NOUN
ejpam-3222	100	33	,	,	PUNCT
ejpam-3222	100	34	yields	yield	NOUN
ejpam-3222	100	35	l2(q	l2(q	PROPN
ejpam-3222	100	36	)	)	PUNCT
ejpam-3222	101	1	=	=	SYM
ejpam-3222	101	2	2	2	NUM
ejpam-3222	101	3	(	(	PUNCT
ejpam-3222	101	4	1−	1−	NUM
ejpam-3222	101	5	q	q	NOUN
ejpam-3222	101	6	−	−	PROPN
ejpam-3222	101	7	2q2	2q2	NUM
ejpam-3222	101	8	+	+	CCONJ
ejpam-3222	101	9	q3	q3	NOUN
ejpam-3222	101	10	+	+	CCONJ
ejpam-3222	101	11	2q5	2q5	NUM
ejpam-3222	102	1	+	+	NUM
ejpam-3222	102	2	q6	q6	PROPN
ejpam-3222	102	3	−	−	PROPN
ejpam-3222	102	4	2q9	2q9	PROPN
ejpam-3222	103	1	+	+	CCONJ
ejpam-3222	103	2	q10	q10	PROPN
ejpam-3222	103	3	−	−	PROPN
ejpam-3222	103	4	2q11	2q11	NOUN
ejpam-3222	103	5	−	−	PROPN
ejpam-3222	103	6	2q12	2q12	NUM
ejpam-3222	104	1	+	+	CCONJ
ejpam-3222	104	2	2q14	2q14	NUM
ejpam-3222	104	3	−	−	NOUN
ejpam-3222	104	4	q15	q15	ADJ
ejpam-3222	104	5	+	+	NUM
ejpam-3222	104	6	2q17	2q17	NOUN
ejpam-3222	104	7	+	+	CCONJ
ejpam-3222	104	8	2q19	2q19	NUM
ejpam-3222	104	9	+	+	CCONJ
ejpam-3222	104	10	q21	q21	ADJ
ejpam-3222	104	11	−	−	PROPN
ejpam-3222	104	12	2q24	2q24	NOUN
ejpam-3222	104	13	−	−	PROPN
ejpam-3222	104	14	q28	q28	NOUN
ejpam-3222	104	15	−	−	PROPN
ejpam-3222	104	16	2q29	2q29	NOUN
ejpam-3222	105	1	−	−	NOUN
ejpam-3222	105	2	2q30	2q30	NOUN
ejpam-3222	105	3	+	+	CCONJ
ejpam-3222	105	4	2q32	2q32	NOUN
ejpam-3222	106	1	−	−	ADP
ejpam-3222	106	2	2q35	2q35	NOUN
ejpam-3222	107	1	+	+	CCONJ
ejpam-3222	107	2	3q36	3q36	NUM
ejpam-3222	107	3	+	+	CCONJ
ejpam-3222	107	4	2q39	2q39	NUM
ejpam-3222	107	5	+	+	CCONJ
ejpam-3222	107	6	2q42	2q42	NUM
ejpam-3222	107	7	+	+	CCONJ
ejpam-3222	107	8	2q44	2q44	NUM
ejpam-3222	107	9	−	−	PROPN
ejpam-3222	107	10	q45	q45	NOUN
ejpam-3222	108	1	−	−	PROPN
ejpam-3222	108	2	2q46	2q46	NUM
ejpam-3222	108	3	−	−	PROPN
ejpam-3222	108	4	2q50	2q50	NOUN
ejpam-3222	108	5	+	+	NUM
ejpam-3222	108	6	2q51	2q51	NUM
ejpam-3222	109	1	−	−	NUM
ejpam-3222	109	2	2q53	2q53	NUM
ejpam-3222	109	3	−	−	NOUN
ejpam-3222	109	4	2q54	2q54	NUM
ejpam-3222	109	5	−	−	PROPN
ejpam-3222	109	6	q55	q55	NOUN
ejpam-3222	109	7	−	−	PROPN
ejpam-3222	109	8	2q56	2q56	PROPN
ejpam-3222	109	9	h.	h.	PROPN
ejpam-3222	109	10	m.	m.	PROPN
ejpam-3222	109	11	srivastava	srivastava	PROPN
ejpam-3222	109	12	,	,	PUNCT
ejpam-3222	109	13	m.	m.	NOUN
ejpam-3222	109	14	p.	p.	PROPN
ejpam-3222	109	15	chaudhary	chaudhary	PROPN
ejpam-3222	109	16	,	,	PUNCT
ejpam-3222	109	17	s.	s.	PROPN
ejpam-3222	109	18	chaudhary	chaudhary	PROPN
ejpam-3222	109	19	/	/	SYM
ejpam-3222	109	20	eur	eur	PROPN
ejpam-3222	109	21	.	.	PUNCT
ejpam-3222	110	1	j.	j.	PROPN
ejpam-3222	110	2	pure	pure	PROPN
ejpam-3222	110	3	appl	appl	PROPN
ejpam-3222	110	4	.	.	PROPN
ejpam-3222	110	5	math	math	PROPN
ejpam-3222	110	6	,	,	PUNCT
ejpam-3222	110	7	11	11	NUM
ejpam-3222	110	8	(	(	PUNCT
ejpam-3222	110	9	1	1	NUM
ejpam-3222	110	10	)	)	PUNCT
ejpam-3222	110	11	(	(	PUNCT
ejpam-3222	110	12	2018	2018	NUM
ejpam-3222	110	13	)	)	PUNCT
ejpam-3222	110	14	,	,	PUNCT
ejpam-3222	110	15	1	1	NUM
ejpam-3222	110	16	-	-	SYM
ejpam-3222	110	17	9	9	NUM
ejpam-3222	110	18	6	6	NUM
ejpam-3222	110	19	+	+	NUM
ejpam-3222	110	20	2q57	2q57	NUM
ejpam-3222	110	21	+	+	CCONJ
ejpam-3222	110	22	q59	q59	NOUN
ejpam-3222	110	23	−	−	PROPN
ejpam-3222	110	24	q60	q60	NOUN
ejpam-3222	110	25	+	+	CCONJ
ejpam-3222	110	26	2q65	2q65	VERB
ejpam-3222	110	27	+	+	CCONJ
ejpam-3222	110	28	q66	q66	ADJ
ejpam-3222	110	29	+	+	CCONJ
ejpam-3222	110	30	2q71	2q71	NUM
ejpam-3222	110	31	+	+	CCONJ
ejpam-3222	110	32	2q72	2q72	NUM
ejpam-3222	110	33	+	+	CCONJ
ejpam-3222	110	34	2q74	2q74	NUM
ejpam-3222	110	35	−	−	NOUN
ejpam-3222	110	36	·	·	PUNCT
ejpam-3222	110	37	·	·	PUNCT
ejpam-3222	110	38	·	·	PUNCT
ejpam-3222	110	39	)	)	PUNCT
ejpam-3222	110	40	.	.	PUNCT
ejpam-3222	111	1	(	(	PUNCT
ejpam-3222	111	2	22	22	X
ejpam-3222	111	3	)	)	PUNCT
ejpam-3222	111	4	we	we	PRON
ejpam-3222	111	5	now	now	ADV
ejpam-3222	111	6	compute	compute	VERB
ejpam-3222	111	7	the	the	DET
ejpam-3222	111	8	value	value	NOUN
ejpam-3222	111	9	for	for	ADP
ejpam-3222	111	10	ϕ	ϕ	PROPN
ejpam-3222	111	11	(	(	PUNCT
ejpam-3222	111	12	q4	q4	PROPN
ejpam-3222	111	13	)	)	PUNCT
ejpam-3222	111	14	[	[	PUNCT
ejpam-3222	111	15	ψ(q	ψ(q	X
ejpam-3222	111	16	)	)	PUNCT
ejpam-3222	112	1	+	+	CCONJ
ejpam-3222	112	2	qψ	qψ	PROPN
ejpam-3222	112	3	(	(	PUNCT
ejpam-3222	112	4	q9	q9	PROPN
ejpam-3222	112	5	)	)	PUNCT
ejpam-3222	112	6	]	]	PUNCT
ejpam-3222	112	7	,	,	PUNCT
ejpam-3222	112	8	which	which	PRON
ejpam-3222	112	9	occurs	occur	VERB
ejpam-3222	112	10	in	in	ADP
ejpam-3222	112	11	(	(	PUNCT
ejpam-3222	112	12	19	19	NUM
ejpam-3222	112	13	)	)	PUNCT
ejpam-3222	112	14	.	.	PUNCT
ejpam-3222	113	1	by	by	ADP
ejpam-3222	113	2	applying	apply	VERB
ejpam-3222	113	3	(	(	PUNCT
ejpam-3222	113	4	16	16	NUM
ejpam-3222	113	5	)	)	PUNCT
ejpam-3222	113	6	(	(	PUNCT
ejpam-3222	113	7	for	for	ADP
ejpam-3222	113	8	q	q	PROPN
ejpam-3222	113	9	7→	7→	PROPN
ejpam-3222	113	10	q4	q4	PROPN
ejpam-3222	113	11	)	)	PUNCT
ejpam-3222	113	12	and	and	CCONJ
ejpam-3222	113	13	(	(	PUNCT
ejpam-3222	113	14	17	17	NUM
ejpam-3222	113	15	)	)	PUNCT
ejpam-3222	113	16	(	(	PUNCT
ejpam-3222	113	17	for	for	ADP
ejpam-3222	113	18	q	q	PROPN
ejpam-3222	113	19	7→	7→	NUM
ejpam-3222	113	20	q	q	NOUN
ejpam-3222	113	21	and	and	CCONJ
ejpam-3222	113	22	q	q	PROPN
ejpam-3222	113	23	7→	7→	NUM
ejpam-3222	113	24	q9	q9	PROPN
ejpam-3222	113	25	)	)	PUNCT
ejpam-3222	113	26	,	,	PUNCT
ejpam-3222	113	27	we	we	PRON
ejpam-3222	113	28	have	have	VERB
ejpam-3222	113	29	ϕ	ϕ	NOUN
ejpam-3222	113	30	(	(	PUNCT
ejpam-3222	113	31	q4	q4	PROPN
ejpam-3222	113	32	)	)	PUNCT
ejpam-3222	113	33	[	[	PUNCT
ejpam-3222	113	34	ψ(q	ψ(q	X
ejpam-3222	113	35	)	)	PUNCT
ejpam-3222	114	1	+	+	CCONJ
ejpam-3222	114	2	qψ	qψ	PROPN
ejpam-3222	114	3	(	(	PUNCT
ejpam-3222	114	4	q9	q9	PROPN
ejpam-3222	114	5	)	)	PUNCT
ejpam-3222	114	6	]	]	PUNCT
ejpam-3222	115	1	=	=	PUNCT
ejpam-3222	115	2	(	(	PUNCT
ejpam-3222	115	3	1	1	NUM
ejpam-3222	115	4	+	+	NUM
ejpam-3222	115	5	2q4	2q4	NUM
ejpam-3222	115	6	+	+	CCONJ
ejpam-3222	115	7	2q16	2q16	NUM
ejpam-3222	115	8	+	+	CCONJ
ejpam-3222	115	9	2q36	2q36	NUM
ejpam-3222	115	10	+	+	CCONJ
ejpam-3222	115	11	2q64	2q64	NUM
ejpam-3222	115	12	+	+	X
ejpam-3222	115	13	·	·	PUNCT
ejpam-3222	115	14	·	·	PUNCT
ejpam-3222	115	15	·	·	PUNCT
ejpam-3222	115	16	)	)	PUNCT
ejpam-3222	115	17	·	·	PUNCT
ejpam-3222	116	1	[	[	X
ejpam-3222	116	2	(	(	PUNCT
ejpam-3222	116	3	1	1	NUM
ejpam-3222	116	4	+	+	NOUN
ejpam-3222	116	5	q	q	NOUN
ejpam-3222	116	6	+	+	NUM
ejpam-3222	116	7	q3	q3	NOUN
ejpam-3222	116	8	+	+	CCONJ
ejpam-3222	116	9	q6	q6	PROPN
ejpam-3222	116	10	+	+	CCONJ
ejpam-3222	116	11	q10	q10	PROPN
ejpam-3222	116	12	+	+	CCONJ
ejpam-3222	116	13	q15	q15	ADJ
ejpam-3222	116	14	+	+	NOUN
ejpam-3222	116	15	·	·	PUNCT
ejpam-3222	116	16	·	·	PUNCT
ejpam-3222	116	17	·	·	PUNCT
ejpam-3222	116	18	)	)	PUNCT
ejpam-3222	117	1	+	+	CCONJ
ejpam-3222	117	2	q	q	X
ejpam-3222	117	3	(	(	PUNCT
ejpam-3222	117	4	1	1	NUM
ejpam-3222	117	5	+	+	CCONJ
ejpam-3222	117	6	q9	q9	NOUN
ejpam-3222	117	7	+	+	CCONJ
ejpam-3222	117	8	q27	q27	NOUN
ejpam-3222	117	9	+	+	CCONJ
ejpam-3222	117	10	q54	q54	NOUN
ejpam-3222	117	11	+	+	CCONJ
ejpam-3222	117	12	q90	q90	NOUN
ejpam-3222	117	13	+	+	CCONJ
ejpam-3222	117	14	q135	q135	PROPN
ejpam-3222	117	15	+	+	NUM
ejpam-3222	117	16	·	·	PUNCT
ejpam-3222	117	17	·	·	PUNCT
ejpam-3222	117	18	·	·	PUNCT
ejpam-3222	117	19	)	)	PUNCT
ejpam-3222	117	20	]	]	PUNCT
ejpam-3222	117	21	,	,	PUNCT
ejpam-3222	117	22	which	which	PRON
ejpam-3222	117	23	,	,	PUNCT
ejpam-3222	117	24	after	after	ADP
ejpam-3222	117	25	simplification	simplification	NOUN
ejpam-3222	117	26	and	and	CCONJ
ejpam-3222	117	27	by	by	ADP
ejpam-3222	117	28	using	use	VERB
ejpam-3222	117	29	algebraic	algebraic	ADJ
ejpam-3222	117	30	manipulation	manipulation	NOUN
ejpam-3222	117	31	,	,	PUNCT
ejpam-3222	117	32	assumes	assume	VERB
ejpam-3222	117	33	the	the	DET
ejpam-3222	117	34	following	follow	VERB
ejpam-3222	117	35	form	form	NOUN
ejpam-3222	117	36	:	:	PUNCT
ejpam-3222	117	37	ϕ	ϕ	X
ejpam-3222	117	38	(	(	PUNCT
ejpam-3222	117	39	q4	q4	PROPN
ejpam-3222	117	40	)	)	PUNCT
ejpam-3222	117	41	[	[	PUNCT
ejpam-3222	117	42	ψ(q	ψ(q	X
ejpam-3222	117	43	)	)	PUNCT
ejpam-3222	118	1	+	+	CCONJ
ejpam-3222	118	2	qψ	qψ	PROPN
ejpam-3222	118	3	(	(	PUNCT
ejpam-3222	118	4	q9	q9	PROPN
ejpam-3222	118	5	)	)	PUNCT
ejpam-3222	118	6	]	]	PUNCT
ejpam-3222	119	1	=	=	PUNCT
ejpam-3222	119	2	1	1	NUM
ejpam-3222	119	3	+	+	NUM
ejpam-3222	119	4	2q	2q	NUM
ejpam-3222	119	5	+	+	CCONJ
ejpam-3222	119	6	q3	q3	NOUN
ejpam-3222	119	7	+	+	CCONJ
ejpam-3222	119	8	2q4	2q4	NUM
ejpam-3222	119	9	+	+	NUM
ejpam-3222	119	10	4q5	4q5	NUM
ejpam-3222	120	1	+	+	NUM
ejpam-3222	120	2	q6	q6	NOUN
ejpam-3222	120	3	+	+	CCONJ
ejpam-3222	120	4	2q7	2q7	NUM
ejpam-3222	120	5	+	+	CCONJ
ejpam-3222	120	6	4q10	4q10	NOUN
ejpam-3222	121	1	+	+	CCONJ
ejpam-3222	121	2	4q14	4q14	NUM
ejpam-3222	121	3	+	+	CCONJ
ejpam-3222	121	4	q15	q15	PRON
ejpam-3222	121	5	+	+	NUM
ejpam-3222	121	6	2q16	2q16	NUM
ejpam-3222	121	7	+	+	CCONJ
ejpam-3222	121	8	4q17	4q17	NOUN
ejpam-3222	122	1	+	+	CCONJ
ejpam-3222	122	2	4q19	4q19	NOUN
ejpam-3222	122	3	+	+	CCONJ
ejpam-3222	122	4	q21	q21	NOUN
ejpam-3222	122	5	+	+	NUM
ejpam-3222	122	6	2q22	2q22	NOUN
ejpam-3222	122	7	+	+	NUM
ejpam-3222	122	8	2q25	2q25	NOUN
ejpam-3222	122	9	+	+	CCONJ
ejpam-3222	122	10	4q26	4q26	NUM
ejpam-3222	123	1	+	+	NUM
ejpam-3222	123	2	2q28	2q28	NOUN
ejpam-3222	124	1	+	+	CCONJ
ejpam-3222	124	2	2q31	2q31	NUM
ejpam-3222	124	3	+	+	CCONJ
ejpam-3222	124	4	4q32	4q32	NOUN
ejpam-3222	124	5	+	+	CCONJ
ejpam-3222	124	6	3q36	3q36	NUM
ejpam-3222	124	7	+	+	CCONJ
ejpam-3222	124	8	6q37	6q37	NUM
ejpam-3222	125	1	+	+	CCONJ
ejpam-3222	125	2	2q39	2q39	NUM
ejpam-3222	125	3	+	+	CCONJ
ejpam-3222	125	4	2q40	2q40	NUM
ejpam-3222	126	1	+	+	CCONJ
ejpam-3222	126	2	2q42	2q42	NUM
ejpam-3222	126	3	+	+	CCONJ
ejpam-3222	126	4	4q44	4q44	NOUN
ejpam-3222	126	5	+	+	CCONJ
ejpam-3222	126	6	q45	q45	NOUN
ejpam-3222	126	7	+	+	NUM
ejpam-3222	126	8	4q46	4q46	NUM
ejpam-3222	126	9	+	+	CCONJ
ejpam-3222	126	10	2q49	2q49	NOUN
ejpam-3222	126	11	+	+	CCONJ
ejpam-3222	126	12	2q51	2q51	NOUN
ejpam-3222	127	1	+	+	NUM
ejpam-3222	127	2	2q52	2q52	NOUN
ejpam-3222	128	1	+	+	CCONJ
ejpam-3222	128	2	2q55	2q55	NOUN
ejpam-3222	128	3	+	+	NOUN
ejpam-3222	128	4	·	·	PUNCT
ejpam-3222	128	5	·	·	PUNCT
ejpam-3222	128	6	·	·	PUNCT
ejpam-3222	128	7	.	.	PUNCT
ejpam-3222	129	1	(	(	PUNCT
ejpam-3222	129	2	23	23	NUM
ejpam-3222	129	3	)	)	PUNCT
ejpam-3222	129	4	we	we	PRON
ejpam-3222	129	5	next	next	ADV
ejpam-3222	129	6	compute	compute	VERB
ejpam-3222	129	7	the	the	DET
ejpam-3222	129	8	value	value	NOUN
ejpam-3222	129	9	for	for	ADP
ejpam-3222	129	10	ϕ	ϕ	PROPN
ejpam-3222	129	11	(	(	PUNCT
ejpam-3222	129	12	q36	q36	PROPN
ejpam-3222	129	13	)	)	PUNCT
ejpam-3222	129	14	[	[	PUNCT
ejpam-3222	129	15	ψ(q)−	ψ(q)−	PROPN
ejpam-3222	129	16	3qψ	3qψ	NOUN
ejpam-3222	129	17	(	(	PUNCT
ejpam-3222	129	18	q9	q9	PROPN
ejpam-3222	129	19	)	)	PUNCT
ejpam-3222	129	20	]	]	PUNCT
ejpam-3222	129	21	,	,	PUNCT
ejpam-3222	129	22	which	which	PRON
ejpam-3222	129	23	occurs	occur	VERB
ejpam-3222	129	24	in	in	ADP
ejpam-3222	129	25	(	(	PUNCT
ejpam-3222	129	26	19	19	NUM
ejpam-3222	129	27	)	)	PUNCT
ejpam-3222	129	28	.	.	PUNCT
ejpam-3222	130	1	by	by	ADP
ejpam-3222	130	2	applying	apply	VERB
ejpam-3222	130	3	(	(	PUNCT
ejpam-3222	130	4	16	16	NUM
ejpam-3222	130	5	)	)	PUNCT
ejpam-3222	130	6	(	(	PUNCT
ejpam-3222	130	7	for	for	ADP
ejpam-3222	130	8	q	q	PROPN
ejpam-3222	130	9	7→	7→	NUM
ejpam-3222	130	10	q36	q36	NOUN
ejpam-3222	130	11	)	)	PUNCT
ejpam-3222	130	12	and	and	CCONJ
ejpam-3222	130	13	(	(	PUNCT
ejpam-3222	130	14	17	17	NUM
ejpam-3222	130	15	)	)	PUNCT
ejpam-3222	130	16	(	(	PUNCT
ejpam-3222	130	17	for	for	ADP
ejpam-3222	130	18	q	q	PROPN
ejpam-3222	130	19	7→	7→	NUM
ejpam-3222	130	20	q	q	NOUN
ejpam-3222	130	21	and	and	CCONJ
ejpam-3222	130	22	q	q	PROPN
ejpam-3222	130	23	7→	7→	NUM
ejpam-3222	130	24	q9	q9	PROPN
ejpam-3222	130	25	)	)	PUNCT
ejpam-3222	130	26	,	,	PUNCT
ejpam-3222	130	27	we	we	PRON
ejpam-3222	130	28	find	find	VERB
ejpam-3222	130	29	that	that	SCONJ
ejpam-3222	130	30	ϕ	ϕ	NOUN
ejpam-3222	130	31	(	(	PUNCT
ejpam-3222	130	32	q36	q36	PROPN
ejpam-3222	130	33	)	)	PUNCT
ejpam-3222	130	34	[	[	PUNCT
ejpam-3222	130	35	ψ(q)−	ψ(q)−	PROPN
ejpam-3222	130	36	3qψ	3qψ	NOUN
ejpam-3222	130	37	(	(	PUNCT
ejpam-3222	130	38	q9	q9	PROPN
ejpam-3222	130	39	)	)	PUNCT
ejpam-3222	130	40	]	]	PUNCT
ejpam-3222	131	1	=	=	PUNCT
ejpam-3222	131	2	(	(	PUNCT
ejpam-3222	131	3	1	1	NUM
ejpam-3222	131	4	+	+	NUM
ejpam-3222	131	5	2q36	2q36	NUM
ejpam-3222	131	6	+	+	CCONJ
ejpam-3222	131	7	2q144	2q144	NUM
ejpam-3222	132	1	+	+	CCONJ
ejpam-3222	132	2	2q324	2q324	NUM
ejpam-3222	132	3	+	+	CCONJ
ejpam-3222	132	4	·	·	PUNCT
ejpam-3222	132	5	·	·	PUNCT
ejpam-3222	132	6	·	·	PUNCT
ejpam-3222	132	7	)	)	PUNCT
ejpam-3222	133	1	·	·	PUNCT
ejpam-3222	133	2	[	[	PUNCT
ejpam-3222	133	3	(	(	PUNCT
ejpam-3222	133	4	1	1	NUM
ejpam-3222	133	5	+	+	NOUN
ejpam-3222	133	6	q	q	NOUN
ejpam-3222	133	7	+	+	NUM
ejpam-3222	133	8	q3	q3	NOUN
ejpam-3222	133	9	+	+	CCONJ
ejpam-3222	133	10	q6	q6	PROPN
ejpam-3222	133	11	+	+	CCONJ
ejpam-3222	133	12	q10	q10	PROPN
ejpam-3222	133	13	+	+	CCONJ
ejpam-3222	133	14	q15	q15	ADJ
ejpam-3222	133	15	+	+	NOUN
ejpam-3222	133	16	·	·	PUNCT
ejpam-3222	133	17	·	·	PUNCT
ejpam-3222	133	18	·	·	PUNCT
ejpam-3222	133	19	)	)	PUNCT
ejpam-3222	134	1	−	−	ADP
ejpam-3222	134	2	3q	3q	NUM
ejpam-3222	134	3	(	(	PUNCT
ejpam-3222	134	4	1	1	NUM
ejpam-3222	134	5	+	+	CCONJ
ejpam-3222	134	6	q9	q9	NOUN
ejpam-3222	134	7	+	+	CCONJ
ejpam-3222	134	8	q27	q27	NOUN
ejpam-3222	134	9	+	+	CCONJ
ejpam-3222	134	10	q54	q54	NOUN
ejpam-3222	134	11	+	+	CCONJ
ejpam-3222	134	12	q90	q90	NOUN
ejpam-3222	134	13	+	+	CCONJ
ejpam-3222	134	14	q135	q135	PROPN
ejpam-3222	134	15	+	+	NUM
ejpam-3222	134	16	·	·	PUNCT
ejpam-3222	134	17	·	·	PUNCT
ejpam-3222	134	18	·	·	PUNCT
ejpam-3222	134	19	)	)	PUNCT
ejpam-3222	134	20	]	]	PUNCT
ejpam-3222	134	21	,	,	PUNCT
ejpam-3222	134	22	which	which	PRON
ejpam-3222	134	23	,	,	PUNCT
ejpam-3222	134	24	after	after	ADP
ejpam-3222	134	25	simplification	simplification	NOUN
ejpam-3222	134	26	and	and	CCONJ
ejpam-3222	134	27	by	by	ADP
ejpam-3222	134	28	using	use	VERB
ejpam-3222	134	29	algebraic	algebraic	ADJ
ejpam-3222	134	30	manipulation	manipulation	NOUN
ejpam-3222	134	31	,	,	PUNCT
ejpam-3222	134	32	yields	yield	NOUN
ejpam-3222	134	33	ϕ	ϕ	PROPN
ejpam-3222	134	34	(	(	PUNCT
ejpam-3222	134	35	q36	q36	PROPN
ejpam-3222	134	36	)	)	PUNCT
ejpam-3222	134	37	[	[	PUNCT
ejpam-3222	134	38	ψ(q)−	ψ(q)−	PROPN
ejpam-3222	134	39	3qψ	3qψ	NOUN
ejpam-3222	134	40	(	(	PUNCT
ejpam-3222	134	41	q9	q9	PROPN
ejpam-3222	134	42	)	)	PUNCT
ejpam-3222	134	43	]	]	PUNCT
ejpam-3222	135	1	=	=	PUNCT
ejpam-3222	135	2	1−	1−	NUM
ejpam-3222	135	3	2q	2q	NUM
ejpam-3222	135	4	+	+	CCONJ
ejpam-3222	135	5	q3	q3	NOUN
ejpam-3222	135	6	+	+	CCONJ
ejpam-3222	135	7	q6	q6	PROPN
ejpam-3222	135	8	−	−	PROPN
ejpam-3222	135	9	2q10	2q10	PROPN
ejpam-3222	135	10	+	+	CCONJ
ejpam-3222	135	11	q15	q15	ADJ
ejpam-3222	135	12	+	+	CCONJ
ejpam-3222	135	13	q21	q21	NOUN
ejpam-3222	135	14	−	−	PROPN
ejpam-3222	135	15	2q28	2q28	NOUN
ejpam-3222	136	1	+	+	CCONJ
ejpam-3222	136	2	3q36	3q36	NUM
ejpam-3222	136	3	−	−	NUM
ejpam-3222	136	4	4q37	4q37	NUM
ejpam-3222	137	1	+	+	CCONJ
ejpam-3222	137	2	2q39	2q39	NUM
ejpam-3222	138	1	+	+	CCONJ
ejpam-3222	138	2	2q42	2q42	NUM
ejpam-3222	138	3	+	+	CCONJ
ejpam-3222	138	4	q45	q45	NOUN
ejpam-3222	138	5	−	−	PROPN
ejpam-3222	138	6	4q46	4q46	PROPN
ejpam-3222	138	7	+	+	CCONJ
ejpam-3222	138	8	2q51	2q51	NUM
ejpam-3222	139	1	−	−	NUM
ejpam-3222	139	2	2q55	2q55	NOUN
ejpam-3222	139	3	+	+	CCONJ
ejpam-3222	139	4	2q57	2q57	NUM
ejpam-3222	139	5	−	−	NOUN
ejpam-3222	139	6	4q64	4q64	NOUN
ejpam-3222	140	1	+	+	CCONJ
ejpam-3222	140	2	q66	q66	ADJ
ejpam-3222	140	3	+	+	CCONJ
ejpam-3222	140	4	2q72	2q72	NUM
ejpam-3222	140	5	+	+	CCONJ
ejpam-3222	140	6	·	·	PUNCT
ejpam-3222	140	7	·	·	PUNCT
ejpam-3222	140	8	·	·	PUNCT
ejpam-3222	140	9	.	.	PUNCT
ejpam-3222	141	1	(	(	PUNCT
ejpam-3222	141	2	24	24	NUM
ejpam-3222	141	3	)	)	PUNCT
ejpam-3222	141	4	in	in	ADP
ejpam-3222	141	5	order	order	NOUN
ejpam-3222	141	6	to	to	PART
ejpam-3222	141	7	compute	compute	VERB
ejpam-3222	141	8	the	the	DET
ejpam-3222	141	9	value	value	NOUN
ejpam-3222	141	10	for	for	ADP
ejpam-3222	141	11	−2qψ(q	−2qψ(q	ADJ
ejpam-3222	141	12	)	)	PUNCT
ejpam-3222	141	13	[	[	PUNCT
ejpam-3222	141	14	ψ	ψ	X
ejpam-3222	141	15	(	(	PUNCT
ejpam-3222	141	16	q8	q8	PROPN
ejpam-3222	141	17	)	)	PUNCT
ejpam-3222	141	18	+	+	CCONJ
ejpam-3222	141	19	q8ψ	q8ψ	PROPN
ejpam-3222	141	20	(	(	PUNCT
ejpam-3222	141	21	q72	q72	PROPN
ejpam-3222	141	22	)	)	PUNCT
ejpam-3222	141	23	]	]	PUNCT
ejpam-3222	141	24	,	,	PUNCT
ejpam-3222	141	25	which	which	PRON
ejpam-3222	141	26	occurs	occur	VERB
ejpam-3222	141	27	in	in	ADP
ejpam-3222	141	28	(	(	PUNCT
ejpam-3222	141	29	19	19	NUM
ejpam-3222	141	30	)	)	PUNCT
ejpam-3222	141	31	,	,	PUNCT
ejpam-3222	141	32	by	by	ADP
ejpam-3222	141	33	making	make	VERB
ejpam-3222	141	34	use	use	NOUN
ejpam-3222	141	35	of	of	ADP
ejpam-3222	141	36	(	(	PUNCT
ejpam-3222	141	37	17	17	NUM
ejpam-3222	141	38	)	)	PUNCT
ejpam-3222	141	39	(	(	PUNCT
ejpam-3222	141	40	for	for	ADP
ejpam-3222	141	41	q	q	PROPN
ejpam-3222	141	42	7→	7→	NUM
ejpam-3222	141	43	q	q	NOUN
ejpam-3222	141	44	,	,	PUNCT
ejpam-3222	141	45	q	q	PROPN
ejpam-3222	141	46	7→	7→	NUM
ejpam-3222	141	47	q8	q8	PROPN
ejpam-3222	141	48	and	and	CCONJ
ejpam-3222	141	49	q	q	PROPN
ejpam-3222	141	50	7→	7→	NUM
ejpam-3222	141	51	q72	q72	NOUN
ejpam-3222	141	52	)	)	PUNCT
ejpam-3222	141	53	,	,	PUNCT
ejpam-3222	141	54	we	we	PRON
ejpam-3222	141	55	obtain	obtain	VERB
ejpam-3222	141	56	−	−	NUM
ejpam-3222	141	57	2qψ(q	2qψ(q	NUM
ejpam-3222	141	58	)	)	PUNCT
ejpam-3222	141	59	[	[	PUNCT
ejpam-3222	141	60	ψ	ψ	X
ejpam-3222	141	61	(	(	PUNCT
ejpam-3222	141	62	q8	q8	PROPN
ejpam-3222	141	63	)	)	PUNCT
ejpam-3222	141	64	+	+	CCONJ
ejpam-3222	142	1	q8ψ	q8ψ	PROPN
ejpam-3222	142	2	(	(	PUNCT
ejpam-3222	142	3	q72	q72	PROPN
ejpam-3222	142	4	)	)	PUNCT
ejpam-3222	142	5	]	]	PUNCT
ejpam-3222	143	1	=	=	PUNCT
ejpam-3222	143	2	−2q	−2q	PUNCT
ejpam-3222	143	3	(	(	PUNCT
ejpam-3222	143	4	1	1	NUM
ejpam-3222	143	5	+	+	CCONJ
ejpam-3222	143	6	q	q	NOUN
ejpam-3222	143	7	+	+	NUM
ejpam-3222	143	8	q3	q3	NOUN
ejpam-3222	143	9	+	+	CCONJ
ejpam-3222	143	10	q6	q6	PROPN
ejpam-3222	143	11	+	+	CCONJ
ejpam-3222	143	12	q10	q10	PROPN
ejpam-3222	143	13	+	+	CCONJ
ejpam-3222	143	14	q15	q15	ADJ
ejpam-3222	143	15	+	+	NOUN
ejpam-3222	143	16	·	·	PUNCT
ejpam-3222	143	17	·	·	PUNCT
ejpam-3222	143	18	·	·	PUNCT
ejpam-3222	143	19	)	)	PUNCT
ejpam-3222	143	20	h.	h.	PROPN
ejpam-3222	143	21	m.	m.	PROPN
ejpam-3222	143	22	srivastava	srivastava	PROPN
ejpam-3222	143	23	,	,	PUNCT
ejpam-3222	143	24	m.	m.	NOUN
ejpam-3222	143	25	p.	p.	PROPN
ejpam-3222	143	26	chaudhary	chaudhary	PROPN
ejpam-3222	143	27	,	,	PUNCT
ejpam-3222	143	28	s.	s.	PROPN
ejpam-3222	143	29	chaudhary	chaudhary	PROPN
ejpam-3222	143	30	/	/	SYM
ejpam-3222	143	31	eur	eur	PROPN
ejpam-3222	143	32	.	.	PUNCT
ejpam-3222	144	1	j.	j.	PROPN
ejpam-3222	144	2	pure	pure	PROPN
ejpam-3222	144	3	appl	appl	PROPN
ejpam-3222	144	4	.	.	PROPN
ejpam-3222	144	5	math	math	PROPN
ejpam-3222	144	6	,	,	PUNCT
ejpam-3222	144	7	11	11	NUM
ejpam-3222	144	8	(	(	PUNCT
ejpam-3222	144	9	1	1	NUM
ejpam-3222	144	10	)	)	PUNCT
ejpam-3222	144	11	(	(	PUNCT
ejpam-3222	144	12	2018	2018	NUM
ejpam-3222	144	13	)	)	PUNCT
ejpam-3222	144	14	,	,	PUNCT
ejpam-3222	144	15	1	1	NUM
ejpam-3222	144	16	-	-	SYM
ejpam-3222	144	17	9	9	NUM
ejpam-3222	144	18	7	7	NUM
ejpam-3222	144	19	·	·	PUNCT
ejpam-3222	145	1	[	[	X
ejpam-3222	145	2	(	(	PUNCT
ejpam-3222	145	3	1	1	NUM
ejpam-3222	145	4	+	+	NUM
ejpam-3222	145	5	q8	q8	PROPN
ejpam-3222	145	6	+	+	CCONJ
ejpam-3222	145	7	q24	q24	NOUN
ejpam-3222	145	8	+	+	NUM
ejpam-3222	145	9	q48	q48	NOUN
ejpam-3222	145	10	+	+	CCONJ
ejpam-3222	145	11	q80	q80	NOUN
ejpam-3222	145	12	+	+	CCONJ
ejpam-3222	145	13	q120	q120	PROPN
ejpam-3222	145	14	+	+	CCONJ
ejpam-3222	145	15	·	·	PUNCT
ejpam-3222	145	16	·	·	PUNCT
ejpam-3222	145	17	·	·	PUNCT
ejpam-3222	145	18	)	)	PUNCT
ejpam-3222	146	1	+	+	CCONJ
ejpam-3222	146	2	q8	q8	PROPN
ejpam-3222	146	3	(	(	PUNCT
ejpam-3222	146	4	1	1	NUM
ejpam-3222	146	5	+	+	NUM
ejpam-3222	146	6	q72	q72	NOUN
ejpam-3222	146	7	+	+	CCONJ
ejpam-3222	146	8	q216	q216	PROPN
ejpam-3222	146	9	+	+	NUM
ejpam-3222	146	10	q432	q432	PROPN
ejpam-3222	146	11	+	+	NUM
ejpam-3222	146	12	·	·	PUNCT
ejpam-3222	146	13	·	·	PUNCT
ejpam-3222	146	14	·	·	PUNCT
ejpam-3222	146	15	)	)	PUNCT
ejpam-3222	146	16	]	]	PUNCT
ejpam-3222	146	17	,	,	PUNCT
ejpam-3222	146	18	which	which	PRON
ejpam-3222	146	19	,	,	PUNCT
ejpam-3222	146	20	after	after	ADP
ejpam-3222	146	21	simplification	simplification	NOUN
ejpam-3222	146	22	and	and	CCONJ
ejpam-3222	146	23	by	by	ADP
ejpam-3222	146	24	using	use	VERB
ejpam-3222	146	25	algebraic	algebraic	ADJ
ejpam-3222	146	26	manipulation	manipulation	NOUN
ejpam-3222	146	27	,	,	PUNCT
ejpam-3222	146	28	becomes	become	VERB
ejpam-3222	146	29	−	−	PROPN
ejpam-3222	146	30	2qψ(q	2qψ(q	NUM
ejpam-3222	146	31	)	)	PUNCT
ejpam-3222	146	32	[	[	PUNCT
ejpam-3222	146	33	ψ	ψ	X
ejpam-3222	146	34	(	(	PUNCT
ejpam-3222	146	35	q8	q8	PROPN
ejpam-3222	146	36	)	)	PUNCT
ejpam-3222	146	37	+	+	CCONJ
ejpam-3222	146	38	q8ψ	q8ψ	PROPN
ejpam-3222	146	39	(	(	PUNCT
ejpam-3222	146	40	q72	q72	PROPN
ejpam-3222	146	41	)	)	PUNCT
ejpam-3222	146	42	]	]	PUNCT
ejpam-3222	147	1	=	=	PUNCT
ejpam-3222	147	2	−2q	−2q	PUNCT
ejpam-3222	147	3	−	−	NOUN
ejpam-3222	147	4	2q2	2q2	NUM
ejpam-3222	147	5	−	−	NOUN
ejpam-3222	147	6	2q4	2q4	NUM
ejpam-3222	147	7	−	−	NOUN
ejpam-3222	147	8	2q7	2q7	NUM
ejpam-3222	147	9	−	−	NOUN
ejpam-3222	147	10	4q9	4q9	NUM
ejpam-3222	147	11	−	−	NOUN
ejpam-3222	148	1	4q10	4q10	NOUN
ejpam-3222	148	2	−	−	PROPN
ejpam-3222	148	3	2q11	2q11	NOUN
ejpam-3222	148	4	−	−	PROPN
ejpam-3222	148	5	4q12	4q12	NOUN
ejpam-3222	149	1	−	−	NOUN
ejpam-3222	149	2	4q15	4q15	NUM
ejpam-3222	149	3	−	−	PROPN
ejpam-3222	149	4	2q16	2q16	NUM
ejpam-3222	149	5	−	−	PROPN
ejpam-3222	149	6	4q19	4q19	NOUN
ejpam-3222	149	7	−	−	NOUN
ejpam-3222	149	8	2q22	2q22	NOUN
ejpam-3222	149	9	−	−	PROPN
ejpam-3222	149	10	4q24	4q24	PRON
ejpam-3222	149	11	−	−	NOUN
ejpam-3222	149	12	2q25	2q25	NOUN
ejpam-3222	149	13	−	−	NOUN
ejpam-3222	150	1	2q26	2q26	NUM
ejpam-3222	150	2	−	−	PROPN
ejpam-3222	150	3	2q28	2q28	NOUN
ejpam-3222	150	4	−	−	NUM
ejpam-3222	150	5	2q29	2q29	NOUN
ejpam-3222	150	6	−	−	NOUN
ejpam-3222	151	1	4q30	4q30	NUM
ejpam-3222	152	1	−	−	PROPN
ejpam-3222	152	2	2q31	2q31	NUM
ejpam-3222	153	1	−	−	NUM
ejpam-3222	153	2	2q35	2q35	NUM
ejpam-3222	153	3	−	−	NUM
ejpam-3222	154	1	6q37	6q37	NUM
ejpam-3222	154	2	−	−	PROPN
ejpam-3222	154	3	2q40	2q40	NOUN
ejpam-3222	154	4	−	−	PROPN
ejpam-3222	154	5	4q45	4q45	NOUN
ejpam-3222	154	6	−	−	PROPN
ejpam-3222	154	7	4q46	4q46	NUM
ejpam-3222	155	1	−	−	NOUN
ejpam-3222	155	2	2q49	2q49	NOUN
ejpam-3222	155	3	−	−	PROPN
ejpam-3222	155	4	2q50	2q50	NOUN
ejpam-3222	155	5	−	−	ADP
ejpam-3222	155	6	2q52	2q52	NOUN
ejpam-3222	155	7	−	−	NOUN
ejpam-3222	155	8	2q53	2q53	NUM
ejpam-3222	155	9	−	−	NOUN
ejpam-3222	155	10	4q54	4q54	NOUN
ejpam-3222	155	11	−	−	NOUN
ejpam-3222	155	12	2q55	2q55	NUM
ejpam-3222	155	13	−	−	NOUN
ejpam-3222	155	14	2q56	2q56	NOUN
ejpam-3222	155	15	−	−	PROPN
ejpam-3222	155	16	2q59	2q59	NOUN
ejpam-3222	155	17	−	−	NOUN
ejpam-3222	155	18	2q61	2q61	NOUN
ejpam-3222	156	1	−	−	NOUN
ejpam-3222	156	2	6q64	6q64	NOUN
ejpam-3222	156	3	−	−	PROPN
ejpam-3222	156	4	·	·	PUNCT
ejpam-3222	156	5	·	·	PUNCT
ejpam-3222	156	6	·	·	PUNCT
ejpam-3222	156	7	.	.	PUNCT
ejpam-3222	157	1	(	(	PUNCT
ejpam-3222	157	2	25	25	NUM
ejpam-3222	157	3	)	)	PUNCT
ejpam-3222	157	4	finally	finally	ADV
ejpam-3222	157	5	,	,	PUNCT
ejpam-3222	157	6	we	we	PRON
ejpam-3222	157	7	compute	compute	VERB
ejpam-3222	157	8	the	the	DET
ejpam-3222	157	9	value	value	NOUN
ejpam-3222	157	10	for	for	ADP
ejpam-3222	157	11	−2q2ψ	−2q2ψ	PROPN
ejpam-3222	157	12	(	(	PUNCT
ejpam-3222	157	13	q9	q9	PROPN
ejpam-3222	157	14	)	)	PUNCT
ejpam-3222	157	15	[	[	PUNCT
ejpam-3222	157	16	ψ	ψ	X
ejpam-3222	157	17	(	(	PUNCT
ejpam-3222	157	18	q8	q8	PROPN
ejpam-3222	157	19	)	)	PUNCT
ejpam-3222	157	20	−	−	PROPN
ejpam-3222	158	1	3q8ψ	3q8ψ	NUM
ejpam-3222	158	2	(	(	PUNCT
ejpam-3222	158	3	q72	q72	PROPN
ejpam-3222	158	4	)	)	PUNCT
ejpam-3222	158	5	]	]	PUNCT
ejpam-3222	158	6	,	,	PUNCT
ejpam-3222	158	7	which	which	PRON
ejpam-3222	158	8	occurs	occur	VERB
ejpam-3222	158	9	in	in	ADP
ejpam-3222	158	10	(	(	PUNCT
ejpam-3222	158	11	19	19	NUM
ejpam-3222	158	12	)	)	PUNCT
ejpam-3222	158	13	.	.	PUNCT
ejpam-3222	159	1	by	by	ADP
ejpam-3222	159	2	making	make	VERB
ejpam-3222	159	3	use	use	NOUN
ejpam-3222	159	4	of	of	ADP
ejpam-3222	159	5	(	(	PUNCT
ejpam-3222	159	6	17	17	NUM
ejpam-3222	159	7	)	)	PUNCT
ejpam-3222	159	8	(	(	PUNCT
ejpam-3222	159	9	for	for	ADP
ejpam-3222	159	10	q	q	PROPN
ejpam-3222	159	11	7→	7→	PROPN
ejpam-3222	159	12	q8	q8	PROPN
ejpam-3222	159	13	,	,	PUNCT
ejpam-3222	159	14	q	q	PROPN
ejpam-3222	159	15	7→	7→	NUM
ejpam-3222	159	16	q9	q9	NOUN
ejpam-3222	159	17	and	and	CCONJ
ejpam-3222	159	18	q	q	PROPN
ejpam-3222	159	19	7→	7→	NUM
ejpam-3222	159	20	q72	q72	NOUN
ejpam-3222	159	21	)	)	PUNCT
ejpam-3222	159	22	,	,	PUNCT
ejpam-3222	159	23	it	it	PRON
ejpam-3222	159	24	is	be	AUX
ejpam-3222	159	25	easily	easily	ADV
ejpam-3222	159	26	observed	observe	VERB
ejpam-3222	159	27	that	that	SCONJ
ejpam-3222	159	28	−	−	PROPN
ejpam-3222	159	29	2q2ψ	2q2ψ	NUM
ejpam-3222	159	30	(	(	PUNCT
ejpam-3222	159	31	q9	q9	PROPN
ejpam-3222	159	32	)	)	PUNCT
ejpam-3222	159	33	[	[	PUNCT
ejpam-3222	159	34	ψ	ψ	X
ejpam-3222	159	35	(	(	PUNCT
ejpam-3222	159	36	q8	q8	PROPN
ejpam-3222	159	37	)	)	PUNCT
ejpam-3222	160	1	−	−	PROPN
ejpam-3222	160	2	3q8ψ	3q8ψ	NUM
ejpam-3222	160	3	(	(	PUNCT
ejpam-3222	160	4	q72	q72	PROPN
ejpam-3222	160	5	)	)	PUNCT
ejpam-3222	160	6	]	]	PUNCT
ejpam-3222	161	1	=	=	PUNCT
ejpam-3222	161	2	−2q2	−2q2	PUNCT
ejpam-3222	161	3	(	(	PUNCT
ejpam-3222	161	4	1	1	NUM
ejpam-3222	161	5	+	+	CCONJ
ejpam-3222	161	6	q9	q9	NOUN
ejpam-3222	161	7	+	+	CCONJ
ejpam-3222	161	8	q27	q27	NOUN
ejpam-3222	161	9	+	+	CCONJ
ejpam-3222	161	10	q54	q54	NOUN
ejpam-3222	161	11	+	+	CCONJ
ejpam-3222	161	12	q90	q90	NOUN
ejpam-3222	161	13	+	+	PROPN
ejpam-3222	161	14	q135	q135	PROPN
ejpam-3222	161	15	+	+	CCONJ
ejpam-3222	161	16	q189	q189	PROPN
ejpam-3222	161	17	+	+	CCONJ
ejpam-3222	161	18	·	·	PUNCT
ejpam-3222	161	19	·	·	PUNCT
ejpam-3222	161	20	·	·	PUNCT
ejpam-3222	161	21	)	)	PUNCT
ejpam-3222	162	1	[	[	X
ejpam-3222	162	2	(	(	PUNCT
ejpam-3222	162	3	1	1	NUM
ejpam-3222	162	4	+	+	NUM
ejpam-3222	162	5	q8	q8	PROPN
ejpam-3222	162	6	+	+	CCONJ
ejpam-3222	162	7	q24	q24	NOUN
ejpam-3222	162	8	+	+	NUM
ejpam-3222	162	9	q48	q48	NOUN
ejpam-3222	162	10	+	+	CCONJ
ejpam-3222	162	11	q80	q80	NOUN
ejpam-3222	162	12	+	+	CCONJ
ejpam-3222	162	13	q120	q120	PROPN
ejpam-3222	162	14	+	+	CCONJ
ejpam-3222	162	15	·	·	PUNCT
ejpam-3222	162	16	·	·	PUNCT
ejpam-3222	162	17	·	·	PUNCT
ejpam-3222	162	18	)	)	PUNCT
ejpam-3222	163	1	−	−	NOUN
ejpam-3222	163	2	3q8(1	3q8(1	NUM
ejpam-3222	163	3	+	+	CCONJ
ejpam-3222	163	4	q72	q72	NOUN
ejpam-3222	163	5	+	+	CCONJ
ejpam-3222	163	6	q216	q216	PROPN
ejpam-3222	164	1	+	+	NUM
ejpam-3222	164	2	q432	q432	PROPN
ejpam-3222	164	3	+	+	NUM
ejpam-3222	164	4	·	·	PUNCT
ejpam-3222	164	5	·	·	PUNCT
ejpam-3222	164	6	·	·	PUNCT
ejpam-3222	164	7	)	)	PUNCT
ejpam-3222	164	8	]	]	PUNCT
ejpam-3222	164	9	,	,	PUNCT
ejpam-3222	164	10	which	which	PRON
ejpam-3222	164	11	,	,	PUNCT
ejpam-3222	164	12	after	after	ADP
ejpam-3222	164	13	simplification	simplification	NOUN
ejpam-3222	164	14	and	and	CCONJ
ejpam-3222	164	15	by	by	ADP
ejpam-3222	164	16	using	use	VERB
ejpam-3222	164	17	algebraic	algebraic	ADJ
ejpam-3222	164	18	manipulation	manipulation	NOUN
ejpam-3222	164	19	,	,	PUNCT
ejpam-3222	164	20	yields	yield	VERB
ejpam-3222	164	21	−	−	PROPN
ejpam-3222	164	22	2q2ψ	2q2ψ	NUM
ejpam-3222	164	23	(	(	PUNCT
ejpam-3222	164	24	q9	q9	PROPN
ejpam-3222	164	25	)	)	PUNCT
ejpam-3222	164	26	[	[	PUNCT
ejpam-3222	164	27	ψ	ψ	X
ejpam-3222	164	28	(	(	PUNCT
ejpam-3222	164	29	q8	q8	PROPN
ejpam-3222	164	30	)	)	PUNCT
ejpam-3222	165	1	−	−	PROPN
ejpam-3222	166	1	3q8ψ	3q8ψ	NUM
ejpam-3222	166	2	(	(	PUNCT
ejpam-3222	166	3	q72	q72	PROPN
ejpam-3222	166	4	)	)	PUNCT
ejpam-3222	166	5	]	]	PUNCT
ejpam-3222	167	1	=	=	PUNCT
ejpam-3222	167	2	−2q2	−2q2	PUNCT
ejpam-3222	168	1	+	+	NUM
ejpam-3222	168	2	4q10	4q10	NUM
ejpam-3222	168	3	−	−	PROPN
ejpam-3222	168	4	2q11	2q11	NOUN
ejpam-3222	168	5	+	+	CCONJ
ejpam-3222	168	6	4q19	4q19	NOUN
ejpam-3222	168	7	−	−	NOUN
ejpam-3222	169	1	2q26	2q26	NUM
ejpam-3222	169	2	−	−	NUM
ejpam-3222	169	3	2q29	2q29	NOUN
ejpam-3222	169	4	−	−	NOUN
ejpam-3222	169	5	2q35	2q35	NUM
ejpam-3222	170	1	+	+	CCONJ
ejpam-3222	170	2	4q37	4q37	ADJ
ejpam-3222	170	3	−	−	PROPN
ejpam-3222	170	4	2q50	2q50	NOUN
ejpam-3222	170	5	−	−	PROPN
ejpam-3222	170	6	2q53	2q53	NUM
ejpam-3222	170	7	−	−	NOUN
ejpam-3222	170	8	2q56	2q56	NOUN
ejpam-3222	170	9	−	−	PROPN
ejpam-3222	170	10	2q59	2q59	NOUN
ejpam-3222	171	1	+	+	CCONJ
ejpam-3222	171	2	4q64	4q64	NOUN
ejpam-3222	171	3	−	−	NOUN
ejpam-3222	171	4	2q77	2q77	NUM
ejpam-3222	171	5	−	−	NUM
ejpam-3222	171	6	2q80	2q80	NOUN
ejpam-3222	171	7	+	+	CCONJ
ejpam-3222	171	8	·	·	PUNCT
ejpam-3222	171	9	·	·	PUNCT
ejpam-3222	171	10	·	·	PUNCT
ejpam-3222	171	11	.	.	PUNCT
ejpam-3222	172	1	(	(	PUNCT
ejpam-3222	172	2	26	26	NUM
ejpam-3222	172	3	)	)	PUNCT
ejpam-3222	172	4	thus	thus	ADV
ejpam-3222	172	5	,	,	PUNCT
ejpam-3222	172	6	by	by	ADP
ejpam-3222	172	7	applying	apply	VERB
ejpam-3222	172	8	the	the	DET
ejpam-3222	172	9	equations	equation	NOUN
ejpam-3222	172	10	(	(	PUNCT
ejpam-3222	172	11	23	23	NUM
ejpam-3222	172	12	)	)	PUNCT
ejpam-3222	172	13	to	to	ADP
ejpam-3222	172	14	(	(	PUNCT
ejpam-3222	172	15	26	26	NUM
ejpam-3222	172	16	)	)	PUNCT
ejpam-3222	172	17	,	,	PUNCT
ejpam-3222	172	18	we	we	PRON
ejpam-3222	172	19	find	find	VERB
ejpam-3222	172	20	that	that	SCONJ
ejpam-3222	172	21	r2(q	r2(q	NOUN
ejpam-3222	172	22	)	)	PUNCT
ejpam-3222	173	1	=	=	SYM
ejpam-3222	173	2	ϕ	ϕ	PROPN
ejpam-3222	173	3	(	(	PUNCT
ejpam-3222	173	4	q4	q4	PROPN
ejpam-3222	173	5	)	)	PUNCT
ejpam-3222	173	6	[	[	PUNCT
ejpam-3222	173	7	ψ(q	ψ(q	X
ejpam-3222	173	8	)	)	PUNCT
ejpam-3222	174	1	+	+	CCONJ
ejpam-3222	174	2	qψ	qψ	PROPN
ejpam-3222	174	3	(	(	PUNCT
ejpam-3222	174	4	q9	q9	PROPN
ejpam-3222	174	5	)	)	PUNCT
ejpam-3222	174	6	]	]	PUNCT
ejpam-3222	175	1	+	+	CCONJ
ejpam-3222	175	2	ϕ	ϕ	X
ejpam-3222	175	3	(	(	PUNCT
ejpam-3222	175	4	q36	q36	PROPN
ejpam-3222	175	5	)	)	PUNCT
ejpam-3222	175	6	[	[	PUNCT
ejpam-3222	175	7	ψ(q)−	ψ(q)−	PROPN
ejpam-3222	175	8	3qψ	3qψ	NOUN
ejpam-3222	175	9	(	(	PUNCT
ejpam-3222	175	10	q9	q9	PROPN
ejpam-3222	175	11	)	)	PUNCT
ejpam-3222	175	12	]	]	PUNCT
ejpam-3222	176	1	−	−	PROPN
ejpam-3222	176	2	2qψ(q	2qψ(q	NUM
ejpam-3222	176	3	)	)	PUNCT
ejpam-3222	176	4	[	[	PUNCT
ejpam-3222	176	5	ψ	ψ	X
ejpam-3222	176	6	(	(	PUNCT
ejpam-3222	176	7	q8	q8	PROPN
ejpam-3222	176	8	)	)	PUNCT
ejpam-3222	177	1	+	+	CCONJ
ejpam-3222	177	2	q8ψ	q8ψ	PROPN
ejpam-3222	177	3	(	(	PUNCT
ejpam-3222	177	4	q72	q72	PROPN
ejpam-3222	177	5	)	)	PUNCT
ejpam-3222	177	6	]	]	PUNCT
ejpam-3222	178	1	−	−	PROPN
ejpam-3222	178	2	2q2ψ	2q2ψ	NUM
ejpam-3222	178	3	(	(	PUNCT
ejpam-3222	178	4	q9	q9	PROPN
ejpam-3222	178	5	)	)	PUNCT
ejpam-3222	178	6	[	[	PUNCT
ejpam-3222	178	7	ψ	ψ	X
ejpam-3222	178	8	(	(	PUNCT
ejpam-3222	178	9	q8	q8	PROPN
ejpam-3222	178	10	)	)	PUNCT
ejpam-3222	178	11	−	−	PROPN
ejpam-3222	179	1	3q8ψ	3q8ψ	NUM
ejpam-3222	179	2	(	(	PUNCT
ejpam-3222	179	3	q72	q72	PROPN
ejpam-3222	179	4	)	)	PUNCT
ejpam-3222	179	5	]	]	PUNCT
ejpam-3222	180	1	=	=	SYM
ejpam-3222	180	2	2	2	X
ejpam-3222	180	3	[	[	PUNCT
ejpam-3222	180	4	1−	1−	NUM
ejpam-3222	180	5	q	q	NOUN
ejpam-3222	180	6	−	−	PROPN
ejpam-3222	180	7	2q2	2q2	NUM
ejpam-3222	180	8	+	+	CCONJ
ejpam-3222	180	9	q3	q3	NOUN
ejpam-3222	180	10	+	+	CCONJ
ejpam-3222	180	11	2q5	2q5	NUM
ejpam-3222	180	12	+	+	NUM
ejpam-3222	180	13	q6	q6	PROPN
ejpam-3222	180	14	−	−	PROPN
ejpam-3222	180	15	2q9	2q9	PROPN
ejpam-3222	180	16	+	+	CCONJ
ejpam-3222	180	17	q10	q10	PROPN
ejpam-3222	180	18	−	−	PROPN
ejpam-3222	180	19	2q11	2q11	NOUN
ejpam-3222	180	20	−	−	PROPN
ejpam-3222	180	21	2q12	2q12	NUM
ejpam-3222	180	22	+	+	CCONJ
ejpam-3222	180	23	2q14	2q14	NUM
ejpam-3222	180	24	−	−	NOUN
ejpam-3222	180	25	q15	q15	ADJ
ejpam-3222	180	26	+	+	NUM
ejpam-3222	180	27	2q17	2q17	NOUN
ejpam-3222	180	28	+	+	CCONJ
ejpam-3222	180	29	2q19	2q19	NUM
ejpam-3222	180	30	+	+	CCONJ
ejpam-3222	180	31	q21	q21	ADJ
ejpam-3222	180	32	−	−	PROPN
ejpam-3222	180	33	2q24	2q24	NOUN
ejpam-3222	180	34	−	−	PROPN
ejpam-3222	181	1	q28	q28	NOUN
ejpam-3222	182	1	−	−	PROPN
ejpam-3222	182	2	2q29	2q29	NOUN
ejpam-3222	182	3	−	−	NOUN
ejpam-3222	182	4	2q30	2q30	NOUN
ejpam-3222	182	5	+	+	CCONJ
ejpam-3222	182	6	2q32	2q32	NOUN
ejpam-3222	183	1	−	−	ADP
ejpam-3222	183	2	2q35	2q35	NOUN
ejpam-3222	184	1	+	+	CCONJ
ejpam-3222	184	2	3q36	3q36	NUM
ejpam-3222	184	3	+	+	CCONJ
ejpam-3222	184	4	2q39	2q39	NUM
ejpam-3222	184	5	+	+	CCONJ
ejpam-3222	184	6	2q42	2q42	NUM
ejpam-3222	184	7	+	+	CCONJ
ejpam-3222	184	8	2q44	2q44	NUM
ejpam-3222	184	9	−	−	PROPN
ejpam-3222	184	10	q45	q45	NOUN
ejpam-3222	185	1	−	−	PROPN
ejpam-3222	185	2	2q46	2q46	NUM
ejpam-3222	185	3	−	−	PROPN
ejpam-3222	185	4	2q50	2q50	NOUN
ejpam-3222	185	5	+	+	NUM
ejpam-3222	185	6	2q51	2q51	NUM
ejpam-3222	186	1	−	−	NUM
ejpam-3222	186	2	2q53	2q53	NUM
ejpam-3222	186	3	−	−	NOUN
ejpam-3222	186	4	2q54	2q54	NUM
ejpam-3222	186	5	−	−	PROPN
ejpam-3222	186	6	q55	q55	NOUN
ejpam-3222	186	7	−	−	PROPN
ejpam-3222	186	8	2q56	2q56	NUM
ejpam-3222	187	1	+	+	CCONJ
ejpam-3222	187	2	2q57	2q57	NUM
ejpam-3222	187	3	+	+	NUM
ejpam-3222	187	4	q59	q59	NOUN
ejpam-3222	187	5	−	−	PROPN
ejpam-3222	187	6	q60	q60	NOUN
ejpam-3222	187	7	+	+	CCONJ
ejpam-3222	187	8	2q65	2q65	VERB
ejpam-3222	187	9	+	+	CCONJ
ejpam-3222	187	10	q66	q66	ADJ
ejpam-3222	187	11	+	+	CCONJ
ejpam-3222	187	12	2q71	2q71	NUM
ejpam-3222	187	13	+	+	CCONJ
ejpam-3222	187	14	2q72	2q72	NUM
ejpam-3222	188	1	+	+	CCONJ
ejpam-3222	188	2	2q74	2q74	NUM
ejpam-3222	188	3	−	−	NOUN
ejpam-3222	188	4	·	·	PUNCT
ejpam-3222	188	5	·	·	PUNCT
ejpam-3222	188	6	·	·	PUNCT
ejpam-3222	188	7	]	]	PUNCT
ejpam-3222	188	8	.	.	PUNCT
ejpam-3222	189	1	(	(	PUNCT
ejpam-3222	189	2	27	27	NUM
ejpam-3222	189	3	)	)	PUNCT
ejpam-3222	189	4	the	the	DET
ejpam-3222	189	5	q	q	NOUN
ejpam-3222	189	6	-	-	NOUN
ejpam-3222	189	7	identity	identity	NOUN
ejpam-3222	189	8	(	(	PUNCT
ejpam-3222	189	9	19	19	NUM
ejpam-3222	189	10	)	)	PUNCT
ejpam-3222	189	11	now	now	ADV
ejpam-3222	189	12	follows	follow	VERB
ejpam-3222	189	13	upon	upon	SCONJ
ejpam-3222	189	14	comparing	compare	VERB
ejpam-3222	189	15	the	the	DET
ejpam-3222	189	16	equations	equation	NOUN
ejpam-3222	189	17	(	(	PUNCT
ejpam-3222	189	18	22	22	NUM
ejpam-3222	189	19	)	)	PUNCT
ejpam-3222	189	20	and	and	CCONJ
ejpam-3222	189	21	(	(	PUNCT
ejpam-3222	189	22	27	27	NUM
ejpam-3222	189	23	)	)	PUNCT
ejpam-3222	189	24	.	.	PUNCT
ejpam-3222	190	1	we	we	PRON
ejpam-3222	190	2	thus	thus	ADV
ejpam-3222	190	3	have	have	AUX
ejpam-3222	190	4	completed	complete	VERB
ejpam-3222	190	5	our	our	PRON
ejpam-3222	190	6	proof	proof	NOUN
ejpam-3222	190	7	of	of	ADP
ejpam-3222	190	8	the	the	DET
ejpam-3222	190	9	theorem	theorem	NOUN
ejpam-3222	190	10	.	.	PROPN
ejpam-3222	191	1	3	3	X
ejpam-3222	191	2	.	.	X
ejpam-3222	191	3	concluding	conclude	VERB
ejpam-3222	191	4	remarks	remark	NOUN
ejpam-3222	191	5	and	and	CCONJ
ejpam-3222	191	6	observations	observation	NOUN
ejpam-3222	191	7	our	our	PRON
ejpam-3222	191	8	present	present	ADJ
ejpam-3222	191	9	article	article	NOUN
ejpam-3222	191	10	is	be	AUX
ejpam-3222	191	11	motivated	motivate	VERB
ejpam-3222	191	12	essentially	essentially	ADV
ejpam-3222	191	13	by	by	ADP
ejpam-3222	191	14	the	the	DET
ejpam-3222	191	15	potential	potential	NOUN
ejpam-3222	191	16	for	for	ADP
ejpam-3222	191	17	applications	application	NOUN
ejpam-3222	191	18	of	of	ADP
ejpam-3222	191	19	q	q	NOUN
ejpam-3222	191	20	-	-	PUNCT
ejpam-3222	191	21	series	series	NOUN
ejpam-3222	191	22	and	and	CCONJ
ejpam-3222	191	23	q	q	NOUN
ejpam-3222	191	24	-	-	PUNCT
ejpam-3222	191	25	products	product	NOUN
ejpam-3222	191	26	.	.	PUNCT
ejpam-3222	192	1	we	we	PRON
ejpam-3222	192	2	have	have	AUX
ejpam-3222	192	3	investigated	investigate	VERB
ejpam-3222	192	4	here	here	ADV
ejpam-3222	192	5	the	the	DET
ejpam-3222	192	6	three	three	NUM
ejpam-3222	192	7	most	most	ADV
ejpam-3222	192	8	interesting	interesting	ADJ
ejpam-3222	192	9	functions	function	NOUN
ejpam-3222	192	10	f(q	f(q	NOUN
ejpam-3222	192	11	)	)	PUNCT
ejpam-3222	192	12	,	,	PUNCT
ejpam-3222	192	13	ϕ(q	ϕ(q	PROPN
ejpam-3222	192	14	)	)	PUNCT
ejpam-3222	192	15	references	reference	NOUN
ejpam-3222	192	16	8	8	NUM
ejpam-3222	192	17	and	and	CCONJ
ejpam-3222	192	18	ψ(q	ψ(q	PROPN
ejpam-3222	192	19	)	)	PUNCT
ejpam-3222	192	20	,	,	PUNCT
ejpam-3222	192	21	which	which	PRON
ejpam-3222	192	22	are	be	AUX
ejpam-3222	192	23	related	relate	VERB
ejpam-3222	192	24	closely	closely	ADV
ejpam-3222	192	25	to	to	ADP
ejpam-3222	192	26	such	such	ADJ
ejpam-3222	192	27	celebrated	celebrate	VERB
ejpam-3222	192	28	entities	entity	NOUN
ejpam-3222	192	29	as	as	ADP
ejpam-3222	192	30	jacobi	jacobi	PROPN
ejpam-3222	192	31	’s	’s	PART
ejpam-3222	192	32	theta	theta	NOUN
ejpam-3222	192	33	functions	function	NOUN
ejpam-3222	192	34	in	in	ADP
ejpam-3222	192	35	the	the	DET
ejpam-3222	192	36	equations	equation	NOUN
ejpam-3222	192	37	(	(	PUNCT
ejpam-3222	192	38	1	1	X
ejpam-3222	192	39	)	)	PUNCT
ejpam-3222	192	40	to	to	ADP
ejpam-3222	192	41	(	(	PUNCT
ejpam-3222	192	42	4	4	NUM
ejpam-3222	192	43	)	)	PUNCT
ejpam-3222	192	44	,	,	PUNCT
ejpam-3222	192	45	ramanujan	ramanujan	PROPN
ejpam-3222	192	46	’s	’s	PART
ejpam-3222	192	47	general	general	ADJ
ejpam-3222	192	48	theta	theta	NOUN
ejpam-3222	192	49	function	function	NOUN
ejpam-3222	192	50	in	in	ADP
ejpam-3222	192	51	(	(	PUNCT
ejpam-3222	192	52	5	5	NUM
ejpam-3222	192	53	)	)	PUNCT
ejpam-3222	192	54	and	and	CCONJ
ejpam-3222	192	55	jacobi	jacobi	PROPN
ejpam-3222	192	56	’s	’s	PART
ejpam-3222	192	57	triple	triple	ADJ
ejpam-3222	192	58	-	-	PUNCT
ejpam-3222	192	59	product	product	NOUN
ejpam-3222	192	60	identity	identity	NOUN
ejpam-3222	192	61	in	in	ADP
ejpam-3222	192	62	(	(	PUNCT
ejpam-3222	192	63	7	7	NUM
ejpam-3222	192	64	)	)	PUNCT
ejpam-3222	192	65	or	or	CCONJ
ejpam-3222	192	66	(	(	PUNCT
ejpam-3222	192	67	8)	8)	NUM
ejpam-3222	192	68	.	.	PUNCT
ejpam-3222	193	1	our	our	PRON
ejpam-3222	193	2	main	main	ADJ
ejpam-3222	193	3	results	result	NOUN
ejpam-3222	193	4	are	be	AUX
ejpam-3222	193	5	stated	state	VERB
ejpam-3222	193	6	and	and	CCONJ
ejpam-3222	193	7	proved	prove	VERB
ejpam-3222	193	8	as	as	ADP
ejpam-3222	193	9	the	the	DET
ejpam-3222	193	10	above	above	ADJ
ejpam-3222	193	11	theorem	theorem	NOUN
ejpam-3222	193	12	and	and	CCONJ
ejpam-3222	193	13	provide	provide	VERB
ejpam-3222	193	14	a	a	DET
ejpam-3222	193	15	sequel	sequel	NOUN
ejpam-3222	193	16	to	to	ADP
ejpam-3222	193	17	some	some	DET
ejpam-3222	193	18	recent	recent	ADJ
ejpam-3222	193	19	works	work	NOUN
ejpam-3222	193	20	by	by	ADP
ejpam-3222	193	21	chaudhary	chaudhary	PROPN
ejpam-3222	193	22	et	et	PROPN
ejpam-3222	193	23	al	al	PROPN
ejpam-3222	193	24	.	.	PUNCT
ejpam-3222	194	1	(	(	PUNCT
ejpam-3222	194	2	see	see	VERB
ejpam-3222	194	3	[	[	X
ejpam-3222	194	4	4	4	X
ejpam-3222	194	5	]	]	PUNCT
ejpam-3222	194	6	and	and	CCONJ
ejpam-3222	194	7	[	[	X
ejpam-3222	194	8	5	5	NUM
ejpam-3222	194	9	]	]	NUM
ejpam-3222	194	10	)	)	PUNCT
ejpam-3222	194	11	,	,	PUNCT
ejpam-3222	194	12	by	by	ADP
ejpam-3222	194	13	adiga	adiga	PROPN
ejpam-3222	194	14	et	et	PROPN
ejpam-3222	194	15	al	al	PROPN
ejpam-3222	194	16	.	.	PUNCT
ejpam-3222	195	1	[	[	X
ejpam-3222	195	2	1	1	NUM
ejpam-3222	195	3	]	]	PUNCT
ejpam-3222	195	4	,	,	PUNCT
ejpam-3222	195	5	and	and	CCONJ
ejpam-3222	195	6	by	by	ADP
ejpam-3222	195	7	srivastava	srivastava	PROPN
ejpam-3222	195	8	and	and	CCONJ
ejpam-3222	195	9	chaudhary	chaudhary	PROPN
ejpam-3222	196	1	[	[	X
ejpam-3222	196	2	13	13	NUM
ejpam-3222	196	3	]	]	PUNCT
ejpam-3222	196	4	.	.	PUNCT
ejpam-3222	197	1	acknowledgements	acknowledgement	NOUN
ejpam-3222	197	2	the	the	DET
ejpam-3222	197	3	third	third	ADV
ejpam-3222	197	4	-	-	PUNCT
ejpam-3222	197	5	named	name	VERB
ejpam-3222	197	6	author	author	NOUN
ejpam-3222	197	7	(	(	PUNCT
ejpam-3222	197	8	sangeeta	sangeeta	PROPN
ejpam-3222	197	9	chaudhary	chaudhary	PROPN
ejpam-3222	197	10	)	)	PUNCT
ejpam-3222	197	11	is	be	AUX
ejpam-3222	197	12	thankful	thankful	ADJ
ejpam-3222	197	13	to	to	ADP
ejpam-3222	197	14	the	the	DET
ejpam-3222	197	15	national	national	PROPN
ejpam-3222	197	16	board	board	PROPN
ejpam-3222	197	17	of	of	ADP
ejpam-3222	197	18	higher	high	ADJ
ejpam-3222	197	19	mathematics	mathematic	NOUN
ejpam-3222	197	20	(	(	PUNCT
ejpam-3222	197	21	nbhm	nbhm	PROPN
ejpam-3222	197	22	)	)	PUNCT
ejpam-3222	197	23	under	under	ADP
ejpam-3222	197	24	the	the	DET
ejpam-3222	197	25	department	department	NOUN
ejpam-3222	197	26	of	of	ADP
ejpam-3222	197	27	atomic	atomic	ADJ
ejpam-3222	197	28	energy	energy	NOUN
ejpam-3222	197	29	(	(	PUNCT
ejpam-3222	197	30	dae	dae	NOUN
ejpam-3222	197	31	)	)	PUNCT
ejpam-3222	197	32	of	of	ADP
ejpam-3222	197	33	the	the	DET
ejpam-3222	197	34	government	government	NOUN
ejpam-3222	197	35	of	of	ADP
ejpam-3222	197	36	india	india	PROPN
ejpam-3222	197	37	for	for	ADP
ejpam-3222	197	38	providing	provide	VERB
ejpam-3222	197	39	financial	financial	ADJ
ejpam-3222	197	40	support	support	NOUN
ejpam-3222	197	41	by	by	ADP
ejpam-3222	197	42	awarding	award	VERB
ejpam-3222	197	43	her	she	PRON
ejpam-3222	197	44	a	a	DET
ejpam-3222	197	45	post	post	ADJ
ejpam-3222	197	46	-	-	ADJ
ejpam-3222	197	47	doctoral	doctoral	ADJ
ejpam-3222	197	48	fellowship	fellowship	NOUN
ejpam-3222	197	49	(	(	PUNCT
ejpam-3222	197	50	grant	grant	NOUN
ejpam-3222	197	51	numbers	number	NOUN
ejpam-3222	197	52	:	:	PUNCT
ejpam-3222	197	53	2/40(47)/2015	2/40(47)/2015	NUM
ejpam-3222	197	54	/	/	SYM
ejpam-3222	197	55	r	r	NOUN
ejpam-3222	197	56	and	and	CCONJ
ejpam-3222	197	57	d	d	NOUN
ejpam-3222	197	58	-	-	PUNCT
ejpam-3222	197	59	ii/8417	ii/8417	PROPN
ejpam-3222	197	60	dated	date	VERB
ejpam-3222	197	61	22	22	NUM
ejpam-3222	197	62	june	june	PROPN
ejpam-3222	197	63	2017	2017	NUM
ejpam-3222	197	64	)	)	PUNCT
ejpam-3222	197	65	while	while	SCONJ
ejpam-3222	197	66	carrying	carry	VERB
ejpam-3222	197	67	out	out	ADP
ejpam-3222	197	68	this	this	DET
ejpam-3222	197	69	research	research	NOUN
ejpam-3222	197	70	work	work	NOUN
ejpam-3222	197	71	.	.	PUNCT
ejpam-3222	198	1	references	reference	NOUN
ejpam-3222	198	2	[	[	X
ejpam-3222	198	3	1	1	NUM
ejpam-3222	198	4	]	]	PUNCT
ejpam-3222	198	5	c.	c.	PROPN
ejpam-3222	198	6	adiga	adiga	PROPN
ejpam-3222	198	7	,	,	PUNCT
ejpam-3222	198	8	n.	n.	PROPN
ejpam-3222	198	9	a.	a.	PROPN
ejpam-3222	198	10	s.	s.	PROPN
ejpam-3222	198	11	bulkhali	bulkhali	PROPN
ejpam-3222	198	12	,	,	PUNCT
ejpam-3222	198	13	d.	d.	PROPN
ejpam-3222	198	14	ranganatha	ranganatha	PROPN
ejpam-3222	198	15	and	and	CCONJ
ejpam-3222	198	16	h.	h.	PROPN
ejpam-3222	198	17	m.	m.	PROPN
ejpam-3222	198	18	srivastava	srivastava	PROPN
ejpam-3222	198	19	,	,	PUNCT
ejpam-3222	198	20	some	some	DET
ejpam-3222	198	21	new	new	ADJ
ejpam-3222	198	22	modular	modular	ADJ
ejpam-3222	198	23	relations	relation	NOUN
ejpam-3222	198	24	for	for	ADP
ejpam-3222	198	25	the	the	DET
ejpam-3222	198	26	rogers	rogers	PROPN
ejpam-3222	198	27	-	-	PUNCT
ejpam-3222	198	28	ramanujan	ramanujan	NOUN
ejpam-3222	198	29	type	type	NOUN
ejpam-3222	198	30	functions	function	NOUN
ejpam-3222	198	31	of	of	ADP
ejpam-3222	198	32	order	order	NOUN
ejpam-3222	198	33	eleven	eleven	NUM
ejpam-3222	198	34	with	with	ADP
ejpam-3222	198	35	applications	application	NOUN
ejpam-3222	198	36	to	to	ADP
ejpam-3222	198	37	partitions	partition	NOUN
ejpam-3222	198	38	,	,	PUNCT
ejpam-3222	198	39	j.	j.	PROPN
ejpam-3222	198	40	number	number	PROPN
ejpam-3222	198	41	theory	theory	NOUN
ejpam-3222	198	42	158	158	NUM
ejpam-3222	198	43	(	(	PUNCT
ejpam-3222	198	44	2016	2016	NUM
ejpam-3222	198	45	)	)	PUNCT
ejpam-3222	198	46	,	,	PUNCT
ejpam-3222	198	47	281–297	281–297	NUM
ejpam-3222	198	48	.	.	PUNCT
ejpam-3222	199	1	[	[	X
ejpam-3222	199	2	2	2	NUM
ejpam-3222	199	3	]	]	PUNCT
ejpam-3222	199	4	m.	m.	NOUN
ejpam-3222	199	5	p.	p.	PROPN
ejpam-3222	199	6	chaudhary	chaudhary	PROPN
ejpam-3222	199	7	,	,	PUNCT
ejpam-3222	199	8	on	on	ADP
ejpam-3222	199	9	q	q	ADJ
ejpam-3222	199	10	-	-	PUNCT
ejpam-3222	199	11	product	product	NOUN
ejpam-3222	199	12	identities	identity	NOUN
ejpam-3222	199	13	,	,	PUNCT
ejpam-3222	199	14	pacific	pacific	PROPN
ejpam-3222	199	15	j.	j.	PROPN
ejpam-3222	199	16	appl	appl	PROPN
ejpam-3222	199	17	.	.	PROPN
ejpam-3222	199	18	math	math	PROPN
ejpam-3222	199	19	.	.	PUNCT
ejpam-3222	200	1	5	5	NUM
ejpam-3222	200	2	(	(	PUNCT
ejpam-3222	200	3	2013	2013	NUM
ejpam-3222	200	4	)	)	PUNCT
ejpam-3222	200	5	,	,	PUNCT
ejpam-3222	200	6	123–129	123–129	NUM
ejpam-3222	200	7	.	.	PUNCT
ejpam-3222	201	1	[	[	X
ejpam-3222	201	2	3	3	X
ejpam-3222	201	3	]	]	PUNCT
ejpam-3222	201	4	m.	m.	NOUN
ejpam-3222	201	5	p.	p.	PROPN
ejpam-3222	201	6	chaudhary	chaudhary	PROPN
ejpam-3222	201	7	and	and	CCONJ
ejpam-3222	201	8	j.	j.	PROPN
ejpam-3222	201	9	choi	choi	PROPN
ejpam-3222	201	10	,	,	PUNCT
ejpam-3222	201	11	note	note	VERB
ejpam-3222	201	12	on	on	ADP
ejpam-3222	201	13	modular	modular	ADJ
ejpam-3222	201	14	relations	relation	NOUN
ejpam-3222	201	15	for	for	ADP
ejpam-3222	201	16	rogers	rogers	NOUN
ejpam-3222	201	17	-	-	PUNCT
ejpam-3222	201	18	ramanujan	ramanujan	NOUN
ejpam-3222	201	19	type	type	NOUN
ejpam-3222	201	20	identities	identity	NOUN
ejpam-3222	201	21	and	and	CCONJ
ejpam-3222	201	22	representation	representation	NOUN
ejpam-3222	201	23	for	for	ADP
ejpam-3222	201	24	jacobi	jacobi	PROPN
ejpam-3222	201	25	identities	identity	NOUN
ejpam-3222	201	26	,	,	PUNCT
ejpam-3222	201	27	east	east	ADJ
ejpam-3222	201	28	asian	asian	ADJ
ejpam-3222	201	29	math	math	PROPN
ejpam-3222	201	30	.	.	PUNCT
ejpam-3222	202	1	j.	j.	PROPN
ejpam-3222	202	2	31	31	NUM
ejpam-3222	202	3	(	(	PUNCT
ejpam-3222	202	4	2015	2015	NUM
ejpam-3222	202	5	)	)	PUNCT
ejpam-3222	202	6	,	,	PUNCT
ejpam-3222	202	7	659–665	659–665	NUM
ejpam-3222	202	8	.	.	PUNCT
ejpam-3222	203	1	[	[	X
ejpam-3222	203	2	4	4	X
ejpam-3222	203	3	]	]	PUNCT
ejpam-3222	203	4	m.	m.	NOUN
ejpam-3222	203	5	p.	p.	PROPN
ejpam-3222	203	6	chaudhary	chaudhary	PROPN
ejpam-3222	203	7	,	,	PUNCT
ejpam-3222	203	8	g.	g.	PROPN
ejpam-3222	203	9	a.	a.	PROPN
ejpam-3222	203	10	salilew	salilew	PROPN
ejpam-3222	203	11	and	and	CCONJ
ejpam-3222	203	12	j.	j.	PROPN
ejpam-3222	203	13	choi	choi	PROPN
ejpam-3222	203	14	,	,	PUNCT
ejpam-3222	203	15	two	two	NUM
ejpam-3222	203	16	theta	theta	NOUN
ejpam-3222	203	17	function	function	NOUN
ejpam-3222	203	18	identities	identity	NOUN
ejpam-3222	203	19	,	,	PUNCT
ejpam-3222	203	20	far	far	PROPN
ejpam-3222	203	21	east	east	PROPN
ejpam-3222	203	22	j.	j.	PROPN
ejpam-3222	203	23	math	math	PROPN
ejpam-3222	203	24	.	.	PUNCT
ejpam-3222	204	1	sci	sci	PROPN
ejpam-3222	204	2	.	.	PROPN
ejpam-3222	205	1	101	101	NUM
ejpam-3222	205	2	(	(	PUNCT
ejpam-3222	205	3	2017	2017	NUM
ejpam-3222	205	4	)	)	PUNCT
ejpam-3222	205	5	,	,	PUNCT
ejpam-3222	205	6	1833–1837	1833–1837	NUM
ejpam-3222	205	7	.	.	PUNCT
ejpam-3222	206	1	[	[	X
ejpam-3222	206	2	5	5	NUM
ejpam-3222	206	3	]	]	PUNCT
ejpam-3222	206	4	m.	m.	NOUN
ejpam-3222	206	5	p.	p.	PROPN
ejpam-3222	206	6	chaudhary	chaudhary	PROPN
ejpam-3222	206	7	,	,	PUNCT
ejpam-3222	206	8	g.	g.	PROPN
ejpam-3222	206	9	a.	a.	PROPN
ejpam-3222	206	10	salilew	salilew	PROPN
ejpam-3222	206	11	and	and	CCONJ
ejpam-3222	206	12	j.	j.	PROPN
ejpam-3222	206	13	choi	choi	PROPN
ejpam-3222	206	14	,	,	PUNCT
ejpam-3222	206	15	two	two	NUM
ejpam-3222	206	16	identities	identity	NOUN
ejpam-3222	206	17	involving	involve	VERB
ejpam-3222	206	18	theta	theta	NOUN
ejpam-3222	206	19	functions	function	NOUN
ejpam-3222	206	20	,	,	PUNCT
ejpam-3222	206	21	east	east	ADJ
ejpam-3222	206	22	asian	asian	ADJ
ejpam-3222	206	23	math	math	PROPN
ejpam-3222	206	24	.	.	PUNCT
ejpam-3222	207	1	j.	j.	PROPN
ejpam-3222	207	2	33	33	NUM
ejpam-3222	207	3	(	(	PUNCT
ejpam-3222	207	4	2017	2017	NUM
ejpam-3222	207	5	)	)	PUNCT
ejpam-3222	207	6	,	,	PUNCT
ejpam-3222	207	7	291–293	291–293	NUM
ejpam-3222	207	8	.	.	PUNCT
ejpam-3222	208	1	[	[	X
ejpam-3222	208	2	6	6	NUM
ejpam-3222	208	3	]	]	X
ejpam-3222	208	4	s.	s.	PROPN
ejpam-3222	208	5	cooper	cooper	PROPN
ejpam-3222	208	6	,	,	PUNCT
ejpam-3222	208	7	the	the	DET
ejpam-3222	208	8	quintuble	quintuble	ADJ
ejpam-3222	208	9	product	product	NOUN
ejpam-3222	208	10	identity	identity	NOUN
ejpam-3222	208	11	,	,	PUNCT
ejpam-3222	208	12	internat	internat	PROPN
ejpam-3222	208	13	.	.	PUNCT
ejpam-3222	209	1	j.	j.	PROPN
ejpam-3222	209	2	number	number	PROPN
ejpam-3222	209	3	theory	theory	NOUN
ejpam-3222	209	4	2	2	NUM
ejpam-3222	209	5	(	(	PUNCT
ejpam-3222	209	6	2006	2006	NUM
ejpam-3222	209	7	)	)	PUNCT
ejpam-3222	209	8	,	,	PUNCT
ejpam-3222	209	9	115–161	115–161	NUM
ejpam-3222	209	10	.	.	PUNCT
ejpam-3222	210	1	[	[	X
ejpam-3222	210	2	7	7	X
ejpam-3222	210	3	]	]	X
ejpam-3222	210	4	m.	m.	NOUN
ejpam-3222	210	5	d.	d.	PROPN
ejpam-3222	210	6	hirschhorn	hirschhorn	PROPN
ejpam-3222	210	7	,	,	PUNCT
ejpam-3222	210	8	a	a	DET
ejpam-3222	210	9	simple	simple	ADJ
ejpam-3222	210	10	proof	proof	NOUN
ejpam-3222	210	11	of	of	ADP
ejpam-3222	210	12	an	an	DET
ejpam-3222	210	13	identity	identity	NOUN
ejpam-3222	210	14	of	of	ADP
ejpam-3222	210	15	ramanujan	ramanujan	PROPN
ejpam-3222	210	16	,	,	PUNCT
ejpam-3222	210	17	j.	j.	PROPN
ejpam-3222	210	18	austral	austral	PROPN
ejpam-3222	210	19	.	.	PUNCT
ejpam-3222	211	1	math	math	NOUN
ejpam-3222	211	2	.	.	PUNCT
ejpam-3222	212	1	soc	soc	PROPN
ejpam-3222	212	2	.	.	PUNCT
ejpam-3222	213	1	ser	ser	PROPN
ejpam-3222	213	2	.	.	PUNCT
ejpam-3222	214	1	a	a	DET
ejpam-3222	214	2	34	34	NUM
ejpam-3222	214	3	(	(	PUNCT
ejpam-3222	214	4	1983	1983	NUM
ejpam-3222	214	5	)	)	PUNCT
ejpam-3222	214	6	,	,	PUNCT
ejpam-3222	214	7	31–35	31–35	NUM
ejpam-3222	214	8	.	.	PUNCT
ejpam-3222	215	1	[	[	X
ejpam-3222	215	2	8	8	NUM
ejpam-3222	215	3	]	]	PUNCT
ejpam-3222	215	4	m.	m.	NOUN
ejpam-3222	215	5	d.	d.	PROPN
ejpam-3222	215	6	hirschhorn	hirschhorn	PROPN
ejpam-3222	215	7	,	,	PUNCT
ejpam-3222	215	8	a	a	DET
ejpam-3222	215	9	generalisation	generalisation	NOUN
ejpam-3222	215	10	of	of	ADP
ejpam-3222	215	11	the	the	DET
ejpam-3222	215	12	quintuple	quintuple	ADJ
ejpam-3222	215	13	product	product	NOUN
ejpam-3222	215	14	identity	identity	NOUN
ejpam-3222	215	15	,	,	PUNCT
ejpam-3222	215	16	j.	j.	PROPN
ejpam-3222	215	17	austral	austral	PROPN
ejpam-3222	215	18	.	.	PUNCT
ejpam-3222	216	1	math	math	NOUN
ejpam-3222	216	2	.	.	PUNCT
ejpam-3222	217	1	soc	soc	PROPN
ejpam-3222	217	2	.	.	PUNCT
ejpam-3222	218	1	ser	ser	PROPN
ejpam-3222	218	2	.	.	PUNCT
ejpam-3222	219	1	a	a	DET
ejpam-3222	219	2	44	44	NUM
ejpam-3222	219	3	(	(	PUNCT
ejpam-3222	219	4	1988	1988	NUM
ejpam-3222	219	5	)	)	PUNCT
ejpam-3222	219	6	,	,	PUNCT
ejpam-3222	219	7	42–45	42–45	NUM
ejpam-3222	219	8	.	.	PUNCT
ejpam-3222	220	1	[	[	X
ejpam-3222	220	2	9	9	NUM
ejpam-3222	220	3	]	]	PUNCT
ejpam-3222	220	4	c.	c.	PROPN
ejpam-3222	220	5	g.	g.	PROPN
ejpam-3222	220	6	j.	j.	PROPN
ejpam-3222	220	7	jacobi	jacobi	PROPN
ejpam-3222	220	8	,	,	PUNCT
ejpam-3222	220	9	fundamenta	fundamenta	PROPN
ejpam-3222	220	10	nova	nova	PROPN
ejpam-3222	220	11	theoriae	theoriae	VERB
ejpam-3222	220	12	functionum	functionum	ADJ
ejpam-3222	220	13	ellipticarum	ellipticarum	NOUN
ejpam-3222	220	14	,	,	PUNCT
ejpam-3222	220	15	regiomonti	regiomonti	ADJ
ejpam-3222	220	16	,	,	PUNCT
ejpam-3222	220	17	sumtibus	sumtibus	ADJ
ejpam-3222	220	18	fratrum	fratrum	NOUN
ejpam-3222	220	19	bornträger	bornträger	PROPN
ejpam-3222	220	20	,	,	PUNCT
ejpam-3222	220	21	königsberg	königsberg	PROPN
ejpam-3222	220	22	,	,	PUNCT
ejpam-3222	220	23	germany,1829	germany,1829	NOUN
ejpam-3222	220	24	;	;	PUNCT
ejpam-3222	220	25	reprinted	reprint	VERB
ejpam-3222	220	26	in	in	ADP
ejpam-3222	220	27	gesammelte	gesammelte	PROPN
ejpam-3222	220	28	mathematische	mathematische	NOUN
ejpam-3222	220	29	werke	werke	PROPN
ejpam-3222	220	30	1	1	NUM
ejpam-3222	220	31	(	(	PUNCT
ejpam-3222	220	32	1829	1829	NUM
ejpam-3222	220	33	)	)	PUNCT
ejpam-3222	220	34	,	,	PUNCT
ejpam-3222	220	35	497–538	497–538	NUM
ejpam-3222	220	36	,	,	PUNCT
ejpam-3222	220	37	american	american	PROPN
ejpam-3222	220	38	mathematical	mathematical	ADJ
ejpam-3222	220	39	society	society	NOUN
ejpam-3222	220	40	,	,	PUNCT
ejpam-3222	220	41	providence	providence	NOUN
ejpam-3222	220	42	,	,	PUNCT
ejpam-3222	220	43	rhode	rhode	NOUN
ejpam-3222	220	44	island	island	NOUN
ejpam-3222	220	45	,	,	PUNCT
ejpam-3222	220	46	1969	1969	NUM
ejpam-3222	220	47	,	,	PUNCT
ejpam-3222	220	48	pp	pp	ADV
ejpam-3222	220	49	.	.	PUNCT
ejpam-3222	221	1	97–239	97–239	NUM
ejpam-3222	221	2	.	.	PUNCT
ejpam-3222	221	3	references	reference	NOUN
ejpam-3222	221	4	9	9	NUM
ejpam-3222	221	5	[	[	SYM
ejpam-3222	221	6	10	10	NUM
ejpam-3222	221	7	]	]	X
ejpam-3222	221	8	s.	s.	PROPN
ejpam-3222	221	9	ramanujan	ramanujan	PROPN
ejpam-3222	221	10	,	,	PUNCT
ejpam-3222	221	11	notebooks	notebook	NOUN
ejpam-3222	221	12	,	,	PUNCT
ejpam-3222	221	13	vols	vol	NOUN
ejpam-3222	221	14	.	.	PUNCT
ejpam-3222	222	1	1	1	NUM
ejpam-3222	222	2	and	and	CCONJ
ejpam-3222	222	3	2	2	NUM
ejpam-3222	222	4	,	,	PUNCT
ejpam-3222	222	5	tata	tata	PROPN
ejpam-3222	222	6	institute	institute	PROPN
ejpam-3222	222	7	of	of	ADP
ejpam-3222	222	8	fundamental	fundamental	ADJ
ejpam-3222	222	9	research	research	PROPN
ejpam-3222	222	10	,	,	PUNCT
ejpam-3222	222	11	bombay	bombay	PROPN
ejpam-3222	222	12	,	,	PUNCT
ejpam-3222	222	13	1957	1957	NUM
ejpam-3222	222	14	.	.	PUNCT
ejpam-3222	223	1	[	[	X
ejpam-3222	223	2	11	11	NUM
ejpam-3222	223	3	]	]	X
ejpam-3222	223	4	s.	s.	PROPN
ejpam-3222	223	5	ramanujan	ramanujan	PROPN
ejpam-3222	223	6	,	,	PUNCT
ejpam-3222	223	7	the	the	DET
ejpam-3222	223	8	lost	lost	ADJ
ejpam-3222	223	9	notebook	notebook	NOUN
ejpam-3222	223	10	and	and	CCONJ
ejpam-3222	223	11	other	other	ADJ
ejpam-3222	223	12	unpublished	unpublished	ADJ
ejpam-3222	223	13	papers	paper	NOUN
ejpam-3222	223	14	,	,	PUNCT
ejpam-3222	223	15	narosa	narosa	PROPN
ejpam-3222	223	16	publishing	publishing	PROPN
ejpam-3222	223	17	house	house	PROPN
ejpam-3222	223	18	,	,	PUNCT
ejpam-3222	223	19	new	new	ADJ
ejpam-3222	223	20	delhi	delhi	PROPN
ejpam-3222	223	21	,	,	PUNCT
ejpam-3222	223	22	1988	1988	NUM
ejpam-3222	223	23	.	.	PUNCT
ejpam-3222	224	1	[	[	X
ejpam-3222	224	2	12	12	NUM
ejpam-3222	224	3	]	]	PUNCT
ejpam-3222	224	4	l.	l.	PROPN
ejpam-3222	224	5	j.	j.	PROPN
ejpam-3222	224	6	slater	slater	PROPN
ejpam-3222	224	7	,	,	PUNCT
ejpam-3222	224	8	generalized	generalize	VERB
ejpam-3222	224	9	hypergeometric	hypergeometric	ADJ
ejpam-3222	224	10	functions	function	NOUN
ejpam-3222	224	11	,	,	PUNCT
ejpam-3222	224	12	cambridge	cambridge	PROPN
ejpam-3222	224	13	university	university	PROPN
ejpam-3222	224	14	press	press	PROPN
ejpam-3222	224	15	,	,	PUNCT
ejpam-3222	224	16	cambridge	cambridge	PROPN
ejpam-3222	224	17	,	,	PUNCT
ejpam-3222	224	18	london	london	PROPN
ejpam-3222	224	19	and	and	CCONJ
ejpam-3222	224	20	new	new	PROPN
ejpam-3222	224	21	york	york	PROPN
ejpam-3222	224	22	,	,	PUNCT
ejpam-3222	224	23	1966	1966	NUM
ejpam-3222	224	24	.	.	PUNCT
ejpam-3222	225	1	[	[	X
ejpam-3222	225	2	13	13	NUM
ejpam-3222	225	3	]	]	X
ejpam-3222	225	4	h.	h.	PROPN
ejpam-3222	225	5	m.	m.	PROPN
ejpam-3222	225	6	srivastava	srivastava	PROPN
ejpam-3222	225	7	and	and	CCONJ
ejpam-3222	225	8	m.	m.	PROPN
ejpam-3222	225	9	p.	p.	PROPN
ejpam-3222	225	10	chaudhary	chaudhary	PROPN
ejpam-3222	225	11	,	,	PUNCT
ejpam-3222	225	12	some	some	DET
ejpam-3222	225	13	relationships	relationship	NOUN
ejpam-3222	225	14	between	between	ADP
ejpam-3222	225	15	q	q	ADJ
ejpam-3222	225	16	-	-	PUNCT
ejpam-3222	225	17	product	product	NOUN
ejpam-3222	225	18	identities	identity	NOUN
ejpam-3222	225	19	,	,	PUNCT
ejpam-3222	225	20	combinatorial	combinatorial	ADJ
ejpam-3222	225	21	partition	partition	NOUN
ejpam-3222	225	22	identities	identity	NOUN
ejpam-3222	225	23	and	and	CCONJ
ejpam-3222	225	24	continued	continue	VERB
ejpam-3222	225	25	-	-	PUNCT
ejpam-3222	225	26	fraction	fraction	NOUN
ejpam-3222	225	27	identities	identity	NOUN
ejpam-3222	225	28	,	,	PUNCT
ejpam-3222	225	29	adv	adv	PROPN
ejpam-3222	225	30	.	.	PUNCT
ejpam-3222	225	31	stud	stud	PROPN
ejpam-3222	225	32	.	.	PUNCT
ejpam-3222	226	1	contemp	contemp	NOUN
ejpam-3222	226	2	.	.	PUNCT
ejpam-3222	227	1	math	math	NOUN
ejpam-3222	227	2	.	.	PUNCT
ejpam-3222	228	1	25	25	NUM
ejpam-3222	228	2	(	(	PUNCT
ejpam-3222	228	3	2015	2015	NUM
ejpam-3222	228	4	)	)	PUNCT
ejpam-3222	228	5	,	,	PUNCT
ejpam-3222	229	1	265–272	265–272	NUM
ejpam-3222	229	2	.	.	PUNCT
ejpam-3222	230	1	[	[	X
ejpam-3222	230	2	14	14	NUM
ejpam-3222	230	3	]	]	X
ejpam-3222	230	4	h.	h.	PROPN
ejpam-3222	230	5	m.	m.	PROPN
ejpam-3222	230	6	srivastava	srivastava	PROPN
ejpam-3222	230	7	and	and	CCONJ
ejpam-3222	230	8	p.	p.	PROPN
ejpam-3222	230	9	w.	w.	PROPN
ejpam-3222	230	10	karlsson	karlsson	PROPN
ejpam-3222	230	11	,	,	PUNCT
ejpam-3222	230	12	multiple	multiple	ADJ
ejpam-3222	230	13	gaussian	gaussian	ADJ
ejpam-3222	230	14	hypergeometric	hypergeometric	ADJ
ejpam-3222	230	15	series	series	NOUN
ejpam-3222	230	16	,	,	PUNCT
ejpam-3222	230	17	halsted	halsted	ADJ
ejpam-3222	230	18	press	press	PROPN
ejpam-3222	230	19	(	(	PUNCT
ejpam-3222	230	20	ellis	ellis	PROPN
ejpam-3222	230	21	horwood	horwood	PROPN
ejpam-3222	230	22	limited	limited	PROPN
ejpam-3222	230	23	,	,	PUNCT
ejpam-3222	230	24	chichester	chichester	PROPN
ejpam-3222	230	25	)	)	PUNCT
ejpam-3222	230	26	,	,	PUNCT
ejpam-3222	230	27	john	john	PROPN
ejpam-3222	230	28	wiley	wiley	PROPN
ejpam-3222	230	29	and	and	CCONJ
ejpam-3222	230	30	sons	son	NOUN
ejpam-3222	230	31	,	,	PUNCT
ejpam-3222	230	32	new	new	PROPN
ejpam-3222	230	33	york	york	PROPN
ejpam-3222	230	34	,	,	PUNCT
ejpam-3222	230	35	chichester	chichester	PROPN
ejpam-3222	230	36	,	,	PUNCT
ejpam-3222	230	37	brisbane	brisbane	NOUN
ejpam-3222	230	38	and	and	CCONJ
ejpam-3222	230	39	toronto	toronto	PROPN
ejpam-3222	230	40	,	,	PUNCT
ejpam-3222	230	41	1985	1985	NUM
ejpam-3222	230	42	.	.	PUNCT
ejpam-3222	231	1	[	[	X
ejpam-3222	231	2	15	15	NUM
ejpam-3222	231	3	]	]	X
ejpam-3222	231	4	e.	e.	PROPN
ejpam-3222	231	5	t.	t.	PROPN
ejpam-3222	231	6	whittaker	whittaker	PROPN
ejpam-3222	231	7	and	and	CCONJ
ejpam-3222	231	8	g.	g.	PROPN
ejpam-3222	231	9	n.	n.	PROPN
ejpam-3222	231	10	watson	watson	PROPN
ejpam-3222	231	11	,	,	PUNCT
ejpam-3222	231	12	a	a	DET
ejpam-3222	231	13	course	course	NOUN
ejpam-3222	231	14	of	of	ADP
ejpam-3222	231	15	modern	modern	ADJ
ejpam-3222	231	16	analysis	analysis	NOUN
ejpam-3222	231	17	:	:	PUNCT
ejpam-3222	231	18	an	an	DET
ejpam-3222	231	19	introduction	introduction	NOUN
ejpam-3222	231	20	to	to	ADP
ejpam-3222	231	21	the	the	DET
ejpam-3222	231	22	general	general	ADJ
ejpam-3222	231	23	theory	theory	NOUN
ejpam-3222	231	24	of	of	ADP
ejpam-3222	231	25	infinite	infinite	ADJ
ejpam-3222	231	26	processes	process	NOUN
ejpam-3222	231	27	and	and	CCONJ
ejpam-3222	231	28	of	of	ADP
ejpam-3222	231	29	analytic	analytic	ADJ
ejpam-3222	231	30	functions	function	NOUN
ejpam-3222	231	31	;	;	PUNCT
ejpam-3222	231	32	with	with	ADP
ejpam-3222	231	33	an	an	DET
ejpam-3222	231	34	account	account	NOUN
ejpam-3222	231	35	of	of	ADP
ejpam-3222	231	36	the	the	DET
ejpam-3222	231	37	principal	principal	ADJ
ejpam-3222	231	38	transcendental	transcendental	ADJ
ejpam-3222	231	39	functions	function	NOUN
ejpam-3222	231	40	,	,	PUNCT
ejpam-3222	231	41	fourth	fourth	ADJ
ejpam-3222	231	42	edition	edition	NOUN
ejpam-3222	231	43	,	,	PUNCT
ejpam-3222	231	44	cambridge	cambridge	PROPN
ejpam-3222	231	45	university	university	PROPN
ejpam-3222	231	46	press	press	PROPN
ejpam-3222	231	47	,	,	PUNCT
ejpam-3222	231	48	cambridge	cambridge	PROPN
ejpam-3222	231	49	,	,	PUNCT
ejpam-3222	231	50	london	london	PROPN
ejpam-3222	231	51	and	and	CCONJ
ejpam-3222	231	52	new	new	PROPN
ejpam-3222	231	53	york	york	PROPN
ejpam-3222	231	54	,	,	PUNCT
ejpam-3222	231	55	1927	1927	NUM
ejpam-3222	231	56	.	.	PUNCT