id	sid	tid	token	lemma	pos
ejpam-3676	1	1	european	european	PROPN
ejpam-3676	1	2	journal	journal	PROPN
ejpam-3676	1	3	of	of	ADP
ejpam-3676	1	4	pure	pure	ADJ
ejpam-3676	1	5	and	and	CCONJ
ejpam-3676	1	6	applied	apply	VERB
ejpam-3676	1	7	mathematics	mathematic	NOUN
ejpam-3676	1	8	vol	vol	NOUN
ejpam-3676	1	9	.	.	PROPN
ejpam-3676	2	1	13	13	NUM
ejpam-3676	2	2	,	,	PUNCT
ejpam-3676	2	3	no	no	INTJ
ejpam-3676	2	4	.	.	NOUN
ejpam-3676	2	5	3	3	NUM
ejpam-3676	2	6	,	,	PUNCT
ejpam-3676	2	7	2020	2020	NUM
ejpam-3676	2	8	,	,	PUNCT
ejpam-3676	2	9	444	444	NUM
ejpam-3676	2	10	-	-	SYM
ejpam-3676	2	11	458	458	NUM
ejpam-3676	2	12	issn	issn	PROPN
ejpam-3676	2	13	1307	1307	NUM
ejpam-3676	2	14	-	-	SYM
ejpam-3676	2	15	5543	5543	NUM
ejpam-3676	2	16	–	–	PUNCT
ejpam-3676	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3676	2	18	published	publish	VERB
ejpam-3676	2	19	by	by	ADP
ejpam-3676	2	20	new	new	PROPN
ejpam-3676	2	21	york	york	PROPN
ejpam-3676	2	22	business	business	PROPN
ejpam-3676	2	23	global	global	PROPN
ejpam-3676	2	24	on	on	ADP
ejpam-3676	2	25	multi	multi	ADJ
ejpam-3676	2	26	poly	poly	ADJ
ejpam-3676	2	27	-	-	PUNCT
ejpam-3676	2	28	genocchi	genocchi	NOUN
ejpam-3676	2	29	polynomials	polynomial	NOUN
ejpam-3676	2	30	with	with	ADP
ejpam-3676	2	31	parameters	parameter	NOUN
ejpam-3676	2	32	a	a	PRON
ejpam-3676	2	33	,	,	PUNCT
ejpam-3676	2	34	b	b	PROPN
ejpam-3676	2	35	and	and	CCONJ
ejpam-3676	2	36	c	c	PROPN
ejpam-3676	2	37	roberto	roberto	PROPN
ejpam-3676	2	38	b.	b.	PROPN
ejpam-3676	2	39	corcino1,∗	corcino1,∗	PROPN
ejpam-3676	2	40	,	,	PUNCT
ejpam-3676	2	41	mark	mark	PROPN
ejpam-3676	2	42	p.	p.	PROPN
ejpam-3676	2	43	laurente2	laurente2	PROPN
ejpam-3676	2	44	,	,	PUNCT
ejpam-3676	2	45	mary	mary	PROPN
ejpam-3676	2	46	ann	ann	PROPN
ejpam-3676	2	47	ritzell	ritzell	PROPN
ejpam-3676	2	48	p.	p.	PROPN
ejpam-3676	2	49	vega3	vega3	PROPN
ejpam-3676	2	50	1	1	NUM
ejpam-3676	2	51	research	research	NOUN
ejpam-3676	2	52	institute	institute	NOUN
ejpam-3676	2	53	for	for	ADP
ejpam-3676	2	54	computational	computational	ADJ
ejpam-3676	2	55	mathematics	mathematic	NOUN
ejpam-3676	2	56	and	and	CCONJ
ejpam-3676	2	57	physics	physics	NOUN
ejpam-3676	2	58	,	,	PUNCT
ejpam-3676	2	59	cebu	cebu	NOUN
ejpam-3676	2	60	normal	normal	ADJ
ejpam-3676	2	61	university	university	NOUN
ejpam-3676	2	62	,	,	PUNCT
ejpam-3676	2	63	6000	6000	NUM
ejpam-3676	2	64	cebu	cebu	NOUN
ejpam-3676	2	65	city	city	NOUN
ejpam-3676	2	66	,	,	PUNCT
ejpam-3676	2	67	philippines	philippines	PROPN
ejpam-3676	2	68	2	2	NUM
ejpam-3676	2	69	department	department	NOUN
ejpam-3676	2	70	of	of	ADP
ejpam-3676	2	71	mathematics	mathematic	NOUN
ejpam-3676	2	72	,	,	PUNCT
ejpam-3676	2	73	mindanao	mindanao	PROPN
ejpam-3676	2	74	state	state	PROPN
ejpam-3676	2	75	university	university	PROPN
ejpam-3676	2	76	,	,	PUNCT
ejpam-3676	2	77	marawi	marawi	PROPN
ejpam-3676	2	78	city	city	PROPN
ejpam-3676	2	79	,	,	PUNCT
ejpam-3676	2	80	philippines	philippines	PROPN
ejpam-3676	2	81	3	3	NUM
ejpam-3676	2	82	department	department	NOUN
ejpam-3676	2	83	of	of	ADP
ejpam-3676	2	84	mathematics	mathematic	NOUN
ejpam-3676	2	85	and	and	CCONJ
ejpam-3676	2	86	statistics	statistic	NOUN
ejpam-3676	2	87	,	,	PUNCT
ejpam-3676	2	88	college	college	NOUN
ejpam-3676	2	89	of	of	ADP
ejpam-3676	2	90	science	science	NOUN
ejpam-3676	2	91	and	and	CCONJ
ejpam-3676	2	92	mathematics	mathematic	NOUN
ejpam-3676	2	93	,	,	PUNCT
ejpam-3676	2	94	mindanao	mindanao	PROPN
ejpam-3676	2	95	state	state	PROPN
ejpam-3676	2	96	university	university	PROPN
ejpam-3676	2	97	-	-	PUNCT
ejpam-3676	2	98	iligan	iligan	PROPN
ejpam-3676	2	99	institute	institute	PROPN
ejpam-3676	2	100	of	of	ADP
ejpam-3676	2	101	technology	technology	PROPN
ejpam-3676	2	102	,	,	PUNCT
ejpam-3676	2	103	9200	9200	NUM
ejpam-3676	2	104	iligan	iligan	ADJ
ejpam-3676	2	105	city	city	NOUN
ejpam-3676	2	106	,	,	PUNCT
ejpam-3676	2	107	philippines	philippine	NOUN
ejpam-3676	2	108	abstract	abstract	ADJ
ejpam-3676	2	109	.	.	PUNCT
ejpam-3676	3	1	most	most	ADJ
ejpam-3676	3	2	identities	identity	NOUN
ejpam-3676	3	3	of	of	ADP
ejpam-3676	3	4	genocchi	genocchi	PROPN
ejpam-3676	3	5	numbers	number	NOUN
ejpam-3676	3	6	and	and	CCONJ
ejpam-3676	3	7	polynomials	polynomial	NOUN
ejpam-3676	3	8	are	be	AUX
ejpam-3676	3	9	related	relate	VERB
ejpam-3676	3	10	to	to	ADP
ejpam-3676	3	11	the	the	DET
ejpam-3676	3	12	well	well	ADV
ejpam-3676	3	13	-	-	PUNCT
ejpam-3676	3	14	known	know	VERB
ejpam-3676	3	15	benoulli	benoulli	NOUN
ejpam-3676	3	16	and	and	CCONJ
ejpam-3676	3	17	euler	euler	NOUN
ejpam-3676	3	18	polynomials	polynomial	NOUN
ejpam-3676	3	19	.	.	PUNCT
ejpam-3676	4	1	in	in	ADP
ejpam-3676	4	2	this	this	DET
ejpam-3676	4	3	paper	paper	NOUN
ejpam-3676	4	4	,	,	PUNCT
ejpam-3676	4	5	multi	multi	ADJ
ejpam-3676	4	6	poly	poly	ADJ
ejpam-3676	4	7	-	-	PUNCT
ejpam-3676	4	8	genocchi	genocchi	NOUN
ejpam-3676	4	9	polynomials	polynomial	NOUN
ejpam-3676	4	10	with	with	ADP
ejpam-3676	4	11	parameters	parameter	NOUN
ejpam-3676	4	12	a	a	PRON
ejpam-3676	4	13	,	,	PUNCT
ejpam-3676	4	14	b	b	PROPN
ejpam-3676	4	15	and	and	CCONJ
ejpam-3676	4	16	c	c	PROPN
ejpam-3676	4	17	are	be	AUX
ejpam-3676	4	18	defined	define	VERB
ejpam-3676	4	19	by	by	ADP
ejpam-3676	4	20	means	mean	NOUN
ejpam-3676	4	21	of	of	ADP
ejpam-3676	4	22	polylogarithm	polylogarithm	NOUN
ejpam-3676	4	23	in	in	ADP
ejpam-3676	4	24	multiple	multiple	ADJ
ejpam-3676	4	25	paramaters	paramater	NOUN
ejpam-3676	4	26	.	.	PUNCT
ejpam-3676	5	1	several	several	ADJ
ejpam-3676	5	2	properties	property	NOUN
ejpam-3676	5	3	of	of	ADP
ejpam-3676	5	4	these	these	DET
ejpam-3676	5	5	polynomials	polynomial	NOUN
ejpam-3676	5	6	are	be	AUX
ejpam-3676	5	7	established	establish	VERB
ejpam-3676	5	8	including	include	VERB
ejpam-3676	5	9	some	some	DET
ejpam-3676	5	10	recurrence	recurrence	NOUN
ejpam-3676	5	11	relations	relation	NOUN
ejpam-3676	5	12	and	and	CCONJ
ejpam-3676	5	13	explicit	explicit	ADJ
ejpam-3676	5	14	formulas	formula	NOUN
ejpam-3676	5	15	.	.	PUNCT
ejpam-3676	6	1	2020	2020	NUM
ejpam-3676	6	2	mathematics	mathematic	NOUN
ejpam-3676	6	3	subject	subject	NOUN
ejpam-3676	6	4	classifications	classification	NOUN
ejpam-3676	6	5	:	:	PUNCT
ejpam-3676	6	6	11b68	11b68	NUM
ejpam-3676	6	7	,	,	PUNCT
ejpam-3676	6	8	11b73	11b73	NUM
ejpam-3676	6	9	,	,	PUNCT
ejpam-3676	6	10	05a15	05a15	NOUN
ejpam-3676	6	11	key	key	ADJ
ejpam-3676	6	12	words	word	NOUN
ejpam-3676	6	13	and	and	CCONJ
ejpam-3676	6	14	phrases	phrase	NOUN
ejpam-3676	6	15	:	:	PUNCT
ejpam-3676	6	16	bernoulli	bernoulli	NOUN
ejpam-3676	6	17	numbers	number	NOUN
ejpam-3676	6	18	,	,	PUNCT
ejpam-3676	6	19	euler	euler	NOUN
ejpam-3676	6	20	numbers	number	NOUN
ejpam-3676	6	21	,	,	PUNCT
ejpam-3676	6	22	genocchi	genocchi	PROPN
ejpam-3676	6	23	numbers	number	NOUN
ejpam-3676	6	24	,	,	PUNCT
ejpam-3676	6	25	polybernoulli	polybernoulli	NOUN
ejpam-3676	6	26	numbers	number	NOUN
ejpam-3676	6	27	,	,	PUNCT
ejpam-3676	6	28	poly	poly	ADJ
ejpam-3676	6	29	-	-	PUNCT
ejpam-3676	6	30	euler	euler	NOUN
ejpam-3676	6	31	numbers	number	NOUN
ejpam-3676	6	32	poly	poly	ADJ
ejpam-3676	6	33	-	-	PUNCT
ejpam-3676	6	34	genocchi	genocchi	NOUN
ejpam-3676	6	35	numbers	number	NOUN
ejpam-3676	6	36	1	1	NUM
ejpam-3676	6	37	.	.	PUNCT
ejpam-3676	6	38	introduction	introduction	NOUN
ejpam-3676	6	39	the	the	DET
ejpam-3676	6	40	genocchi	genocchi	PROPN
ejpam-3676	6	41	numbers	number	NOUN
ejpam-3676	6	42	and	and	CCONJ
ejpam-3676	6	43	polynomials	polynomial	NOUN
ejpam-3676	6	44	can	can	AUX
ejpam-3676	6	45	be	be	AUX
ejpam-3676	6	46	traced	trace	VERB
ejpam-3676	6	47	back	back	ADV
ejpam-3676	6	48	to	to	ADP
ejpam-3676	6	49	angelo	angelo	PROPN
ejpam-3676	6	50	genocchi	genocchi	PROPN
ejpam-3676	6	51	(	(	PUNCT
ejpam-3676	6	52	18171889	18171889	NUM
ejpam-3676	6	53	)	)	PUNCT
ejpam-3676	6	54	.	.	PUNCT
ejpam-3676	7	1	genocchi	genocchi	PROPN
ejpam-3676	7	2	numbers	number	NOUN
ejpam-3676	7	3	have	have	AUX
ejpam-3676	7	4	been	be	AUX
ejpam-3676	7	5	extensively	extensively	ADV
ejpam-3676	7	6	studied	study	VERB
ejpam-3676	7	7	in	in	ADP
ejpam-3676	7	8	many	many	ADJ
ejpam-3676	7	9	different	different	ADJ
ejpam-3676	7	10	contexts	contexts	NOUN
ejpam-3676	7	11	in	in	ADP
ejpam-3676	7	12	mathematics	mathematic	NOUN
ejpam-3676	7	13	.	.	PUNCT
ejpam-3676	8	1	for	for	ADP
ejpam-3676	8	2	instance	instance	NOUN
ejpam-3676	8	3	,	,	PUNCT
ejpam-3676	8	4	genocchi	genocchi	PROPN
ejpam-3676	8	5	numbers	number	NOUN
ejpam-3676	8	6	have	have	AUX
ejpam-3676	8	7	been	be	AUX
ejpam-3676	8	8	studied	study	VERB
ejpam-3676	8	9	by	by	ADP
ejpam-3676	8	10	several	several	ADJ
ejpam-3676	8	11	authors	author	NOUN
ejpam-3676	8	12	in	in	ADP
ejpam-3676	8	13	the	the	DET
ejpam-3676	8	14	context	context	NOUN
ejpam-3676	8	15	of	of	ADP
ejpam-3676	8	16	apostol	apostol	NOUN
ejpam-3676	8	17	-	-	PUNCT
ejpam-3676	8	18	type	type	NOUN
ejpam-3676	8	19	polynomials	polynomial	NOUN
ejpam-3676	8	20	,	,	PUNCT
ejpam-3676	8	21	hermite	hermite	ADJ
ejpam-3676	8	22	-	-	PUNCT
ejpam-3676	8	23	type	type	NOUN
ejpam-3676	8	24	polynomials	polynomial	NOUN
ejpam-3676	8	25	,	,	PUNCT
ejpam-3676	8	26	polylogarithm	polylogarithm	NOUN
ejpam-3676	8	27	,	,	PUNCT
ejpam-3676	8	28	and	and	CCONJ
ejpam-3676	8	29	their	their	PRON
ejpam-3676	8	30	q	q	NOUN
ejpam-3676	8	31	-	-	PUNCT
ejpam-3676	8	32	analogues	analogue	NOUN
ejpam-3676	8	33	[	[	X
ejpam-3676	8	34	3	3	NUM
ejpam-3676	8	35	,	,	PUNCT
ejpam-3676	8	36	6–8	6–8	NOUN
ejpam-3676	8	37	,	,	PUNCT
ejpam-3676	8	38	13	13	NUM
ejpam-3676	8	39	,	,	PUNCT
ejpam-3676	8	40	20	20	NUM
ejpam-3676	8	41	,	,	PUNCT
ejpam-3676	8	42	21	21	NUM
ejpam-3676	8	43	,	,	PUNCT
ejpam-3676	8	44	23	23	NUM
ejpam-3676	8	45	,	,	PUNCT
ejpam-3676	8	46	27	27	NUM
ejpam-3676	8	47	,	,	PUNCT
ejpam-3676	8	48	29	29	NUM
ejpam-3676	8	49	,	,	PUNCT
ejpam-3676	8	50	30	30	NUM
ejpam-3676	8	51	]	]	PUNCT
ejpam-3676	8	52	.	.	PUNCT
ejpam-3676	9	1	many	many	ADJ
ejpam-3676	9	2	studies	study	NOUN
ejpam-3676	9	3	and	and	CCONJ
ejpam-3676	9	4	literature	literature	NOUN
ejpam-3676	9	5	provide	provide	VERB
ejpam-3676	9	6	relations	relation	NOUN
ejpam-3676	9	7	of	of	ADP
ejpam-3676	9	8	genocchi	genocchi	PROPN
ejpam-3676	9	9	numbers	number	NOUN
ejpam-3676	9	10	to	to	ADP
ejpam-3676	9	11	bernoulli	bernoulli	PROPN
ejpam-3676	9	12	and	and	CCONJ
ejpam-3676	9	13	euler	euler	NOUN
ejpam-3676	9	14	numbers	number	NOUN
ejpam-3676	9	15	,	,	PUNCT
ejpam-3676	9	16	especially	especially	ADV
ejpam-3676	9	17	euler	euler	NOUN
ejpam-3676	9	18	numbers	number	NOUN
ejpam-3676	9	19	.	.	PUNCT
ejpam-3676	10	1	bernoulli	bernoulli	PROPN
ejpam-3676	10	2	,	,	PUNCT
ejpam-3676	10	3	euler	euler	VERB
ejpam-3676	10	4	and	and	CCONJ
ejpam-3676	10	5	genocchi	genocchi	PROPN
ejpam-3676	10	6	numbers	number	NOUN
ejpam-3676	10	7	defined	define	VERB
ejpam-3676	10	8	by	by	ADP
ejpam-3676	10	9	exponential	exponential	ADJ
ejpam-3676	10	10	generating	generating	NOUN
ejpam-3676	10	11	function	function	NOUN
ejpam-3676	10	12	(	(	PUNCT
ejpam-3676	10	13	see	see	VERB
ejpam-3676	10	14	[	[	X
ejpam-3676	10	15	1	1	NUM
ejpam-3676	10	16	,	,	PUNCT
ejpam-3676	10	17	19	19	NUM
ejpam-3676	10	18	,	,	PUNCT
ejpam-3676	10	19	22	22	NUM
ejpam-3676	10	20	]	]	PUNCT
ejpam-3676	10	21	)	)	PUNCT
ejpam-3676	11	1	∞∑	∞∑	PRON
ejpam-3676	11	2	n=0	n=0	NUM
ejpam-3676	11	3	bn	bn	NUM
ejpam-3676	11	4	tn	tn	NOUN
ejpam-3676	11	5	n	n	ADV
ejpam-3676	11	6	!	!	PUNCT
ejpam-3676	12	1	=	=	SYM
ejpam-3676	12	2	t	t	X
ejpam-3676	12	3	et	et	NOUN
ejpam-3676	12	4	−	−	NOUN
ejpam-3676	12	5	1	1	NUM
ejpam-3676	12	6	,	,	PUNCT
ejpam-3676	12	7	|t|	|t|	VERB
ejpam-3676	12	8	<	<	X
ejpam-3676	12	9	2π	2π	PROPN
ejpam-3676	12	10	(	(	PUNCT
ejpam-3676	12	11	1	1	NUM
ejpam-3676	12	12	)	)	PUNCT
ejpam-3676	13	1	∞∑	∞∑	PROPN
ejpam-3676	13	2	n=0	n=0	NUM
ejpam-3676	13	3	en	en	ADP
ejpam-3676	13	4	tn	tn	NOUN
ejpam-3676	13	5	n	n	X
ejpam-3676	13	6	!	!	PUNCT
ejpam-3676	14	1	=	=	SYM
ejpam-3676	14	2	2	2	NUM
ejpam-3676	14	3	et	et	NOUN
ejpam-3676	14	4	+	+	NOUN
ejpam-3676	14	5	1	1	NUM
ejpam-3676	14	6	,	,	PUNCT
ejpam-3676	14	7	|t|	|t|	VERB
ejpam-3676	14	8	<	<	X
ejpam-3676	14	9	π	π	X
ejpam-3676	14	10	(	(	PUNCT
ejpam-3676	14	11	2	2	NUM
ejpam-3676	14	12	)	)	PUNCT
ejpam-3676	14	13	∗corresponding	∗corresponde	VERB
ejpam-3676	14	14	author	author	NOUN
ejpam-3676	14	15	.	.	PUNCT
ejpam-3676	15	1	doi	doi	NOUN
ejpam-3676	15	2	:	:	PUNCT
ejpam-3676	15	3	https://doi.org/10.29020/nybg.ejpam.v13i3.3676	https://doi.org/10.29020/nybg.ejpam.v13i3.3676	ADJ
ejpam-3676	15	4	email	email	NOUN
ejpam-3676	15	5	addresses	address	VERB
ejpam-3676	15	6	:	:	PUNCT
ejpam-3676	16	1	rcorcino@yahoo.com	rcorcino@yahoo.com	X
ejpam-3676	16	2	(	(	PUNCT
ejpam-3676	16	3	r.	r.	PROPN
ejpam-3676	16	4	corcino	corcino	PROPN
ejpam-3676	16	5	)	)	PUNCT
ejpam-3676	16	6	,	,	PUNCT
ejpam-3676	16	7	mark.laurente2012@gmail.com	mark.laurente2012@gmail.com	NUM
ejpam-3676	16	8	(	(	PUNCT
ejpam-3676	16	9	m.	m.	NOUN
ejpam-3676	16	10	laurente	laurente	PROPN
ejpam-3676	16	11	)	)	PUNCT
ejpam-3676	16	12	,	,	PUNCT
ejpam-3676	16	13	maryannritzel.vega@g.msuiit.edu.ph	maryannritzel.vega@g.msuiit.edu.ph	PROPN
ejpam-3676	16	14	(	(	PUNCT
ejpam-3676	16	15	mar	mar	PROPN
ejpam-3676	16	16	.	.	PROPN
ejpam-3676	16	17	vega	vega	PROPN
ejpam-3676	16	18	)	)	PUNCT
ejpam-3676	16	19	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-3676	17	1	444	444	NUM
ejpam-3676	17	2	c	c	NOUN
ejpam-3676	17	3	©	©	NOUN
ejpam-3676	17	4	2020	2020	NUM
ejpam-3676	17	5	ejpam	ejpam	VERB
ejpam-3676	17	6	all	all	DET
ejpam-3676	17	7	rights	right	NOUN
ejpam-3676	17	8	reserved	reserve	VERB
ejpam-3676	17	9	.	.	PUNCT
ejpam-3676	18	1	r.	r.	PROPN
ejpam-3676	18	2	corcino	corcino	PROPN
ejpam-3676	18	3	,	,	PUNCT
ejpam-3676	18	4	m.	m.	NOUN
ejpam-3676	18	5	laurente	laurente	PROPN
ejpam-3676	18	6	,	,	PUNCT
ejpam-3676	18	7	mar	mar	PROPN
ejpam-3676	18	8	.	.	PROPN
ejpam-3676	18	9	vega	vega	PROPN
ejpam-3676	18	10	/	/	SYM
ejpam-3676	18	11	eur	eur	PROPN
ejpam-3676	18	12	.	.	PUNCT
ejpam-3676	19	1	j.	j.	PROPN
ejpam-3676	19	2	pure	pure	PROPN
ejpam-3676	19	3	appl	appl	PROPN
ejpam-3676	19	4	.	.	PROPN
ejpam-3676	19	5	math	math	PROPN
ejpam-3676	19	6	,	,	PUNCT
ejpam-3676	19	7	13	13	NUM
ejpam-3676	19	8	(	(	PUNCT
ejpam-3676	19	9	3	3	NUM
ejpam-3676	19	10	)	)	PUNCT
ejpam-3676	19	11	(	(	PUNCT
ejpam-3676	19	12	2020	2020	NUM
ejpam-3676	19	13	)	)	PUNCT
ejpam-3676	19	14	,	,	PUNCT
ejpam-3676	19	15	444	444	NUM
ejpam-3676	19	16	-	-	SYM
ejpam-3676	19	17	458	458	NUM
ejpam-3676	19	18	445	445	NUM
ejpam-3676	20	1	∞∑	∞∑	PRON
ejpam-3676	20	2	n=0	n=0	NUM
ejpam-3676	20	3	gn	gn	PROPN
ejpam-3676	20	4	tn	tn	PROPN
ejpam-3676	20	5	n	n	PROPN
ejpam-3676	20	6	!	!	PUNCT
ejpam-3676	21	1	=	=	PUNCT
ejpam-3676	22	1	2	2	NUM
ejpam-3676	22	2	t	t	NOUN
ejpam-3676	22	3	et	et	NOUN
ejpam-3676	22	4	+	+	CCONJ
ejpam-3676	22	5	1	1	NUM
ejpam-3676	22	6	,	,	PUNCT
ejpam-3676	22	7	|t|	|t|	VERB
ejpam-3676	22	8	<	<	X
ejpam-3676	22	9	π	π	PROPN
ejpam-3676	22	10	.	.	PUNCT
ejpam-3676	23	1	(	(	PUNCT
ejpam-3676	23	2	3	3	X
ejpam-3676	23	3	)	)	PUNCT
ejpam-3676	23	4	the	the	DET
ejpam-3676	23	5	bernoulli	bernoulli	PROPN
ejpam-3676	23	6	,	,	PUNCT
ejpam-3676	23	7	euler	euler	VERB
ejpam-3676	23	8	and	and	CCONJ
ejpam-3676	23	9	genocchi	genocchi	PROPN
ejpam-3676	23	10	polynomials	polynomial	NOUN
ejpam-3676	23	11	are	be	AUX
ejpam-3676	23	12	defined	define	VERB
ejpam-3676	23	13	via	via	ADP
ejpam-3676	23	14	generating	generating	NOUN
ejpam-3676	23	15	functions	function	NOUN
ejpam-3676	23	16	to	to	PART
ejpam-3676	23	17	be	be	AUX
ejpam-3676	23	18	,	,	PUNCT
ejpam-3676	23	19	respectively	respectively	ADV
ejpam-3676	23	20	,	,	PUNCT
ejpam-3676	23	21	∞∑	∞∑	PRON
ejpam-3676	23	22	n=0	n=0	NUM
ejpam-3676	23	23	bn(x	bn(x	NUM
ejpam-3676	23	24	)	)	PUNCT
ejpam-3676	23	25	tn	tn	PROPN
ejpam-3676	23	26	n	n	PROPN
ejpam-3676	23	27	!	!	PUNCT
ejpam-3676	24	1	=	=	SYM
ejpam-3676	24	2	t	t	PROPN
ejpam-3676	24	3	et	et	NOUN
ejpam-3676	24	4	−	−	NOUN
ejpam-3676	24	5	1	1	NUM
ejpam-3676	24	6	ext	ext	NOUN
ejpam-3676	24	7	,	,	PUNCT
ejpam-3676	24	8	|t|	|t|	VERB
ejpam-3676	24	9	<	<	X
ejpam-3676	24	10	2π	2π	PROPN
ejpam-3676	24	11	(	(	PUNCT
ejpam-3676	24	12	4	4	NUM
ejpam-3676	24	13	)	)	PUNCT
ejpam-3676	24	14	∞∑	∞∑	NUM
ejpam-3676	24	15	n=0	n=0	NUM
ejpam-3676	24	16	en(x	en(x	PRON
ejpam-3676	24	17	)	)	PUNCT
ejpam-3676	24	18	tn	tn	PROPN
ejpam-3676	24	19	n	n	NOUN
ejpam-3676	24	20	!	!	PUNCT
ejpam-3676	25	1	=	=	SYM
ejpam-3676	25	2	2	2	NUM
ejpam-3676	25	3	et	et	NOUN
ejpam-3676	25	4	+	+	NOUN
ejpam-3676	25	5	1	1	NUM
ejpam-3676	25	6	ext	ext	NOUN
ejpam-3676	25	7	,	,	PUNCT
ejpam-3676	25	8	|t|	|t|	VERB
ejpam-3676	25	9	<	<	X
ejpam-3676	25	10	π	π	X
ejpam-3676	25	11	(	(	PUNCT
ejpam-3676	25	12	5	5	NUM
ejpam-3676	25	13	)	)	PUNCT
ejpam-3676	25	14	∞∑	∞∑	NUM
ejpam-3676	25	15	n=0	n=0	NUM
ejpam-3676	25	16	gn(x	gn(x	NOUN
ejpam-3676	25	17	)	)	PUNCT
ejpam-3676	25	18	tn	tn	NOUN
ejpam-3676	25	19	n	n	NOUN
ejpam-3676	25	20	!	!	PUNCT
ejpam-3676	26	1	=	=	PUNCT
ejpam-3676	27	1	2	2	NUM
ejpam-3676	27	2	t	t	NOUN
ejpam-3676	27	3	et	et	NOUN
ejpam-3676	27	4	+	+	CCONJ
ejpam-3676	27	5	1	1	NUM
ejpam-3676	27	6	ext	ext	NOUN
ejpam-3676	27	7	,	,	PUNCT
ejpam-3676	27	8	|t|	|t|	VERB
ejpam-3676	27	9	<	<	X
ejpam-3676	27	10	π	π	PROPN
ejpam-3676	27	11	,	,	PUNCT
ejpam-3676	27	12	(	(	PUNCT
ejpam-3676	27	13	6	6	NUM
ejpam-3676	27	14	)	)	PUNCT
ejpam-3676	27	15	where	where	SCONJ
ejpam-3676	27	16	,	,	PUNCT
ejpam-3676	27	17	when	when	SCONJ
ejpam-3676	27	18	x	x	X
ejpam-3676	27	19	=	=	SYM
ejpam-3676	27	20	0	0	NUM
ejpam-3676	27	21	,	,	PUNCT
ejpam-3676	27	22	bn(0	bn(0	NOUN
ejpam-3676	27	23	)	)	PUNCT
ejpam-3676	27	24	=	=	SYM
ejpam-3676	27	25	bn	bn	PROPN
ejpam-3676	27	26	,	,	PUNCT
ejpam-3676	27	27	en(0	en(0	PROPN
ejpam-3676	27	28	)	)	PUNCT
ejpam-3676	27	29	=	=	SYM
ejpam-3676	27	30	en	en	X
ejpam-3676	27	31	and	and	CCONJ
ejpam-3676	27	32	gn(0	gn(0	PROPN
ejpam-3676	28	1	)	)	PUNCT
ejpam-3676	28	2	=	=	SYM
ejpam-3676	28	3	gn	gn	PROPN
ejpam-3676	28	4	.	.	PUNCT
ejpam-3676	28	5	(	(	PUNCT
ejpam-3676	28	6	see	see	VERB
ejpam-3676	28	7	[	[	X
ejpam-3676	28	8	5	5	NUM
ejpam-3676	28	9	,	,	PUNCT
ejpam-3676	28	10	19	19	NUM
ejpam-3676	28	11	,	,	PUNCT
ejpam-3676	28	12	22	22	NUM
ejpam-3676	28	13	,	,	PUNCT
ejpam-3676	28	14	24	24	NUM
ejpam-3676	28	15	]	]	PUNCT
ejpam-3676	28	16	)	)	PUNCT
ejpam-3676	28	17	araci	araci	NOUN
ejpam-3676	29	1	[	[	X
ejpam-3676	29	2	19	19	NUM
ejpam-3676	29	3	]	]	PUNCT
ejpam-3676	29	4	and	and	CCONJ
ejpam-3676	29	5	kim	kim	PROPN
ejpam-3676	29	6	et	et	PROPN
ejpam-3676	29	7	al	al	PROPN
ejpam-3676	29	8	.	.	PUNCT
ejpam-3676	30	1	[	[	X
ejpam-3676	30	2	26	26	NUM
ejpam-3676	30	3	]	]	PUNCT
ejpam-3676	30	4	did	do	AUX
ejpam-3676	30	5	some	some	DET
ejpam-3676	30	6	researches	research	NOUN
ejpam-3676	30	7	on	on	ADP
ejpam-3676	30	8	the	the	DET
ejpam-3676	30	9	so	so	ADV
ejpam-3676	30	10	-	-	PUNCT
ejpam-3676	30	11	called	call	VERB
ejpam-3676	30	12	genocchi	genocchi	NOUN
ejpam-3676	30	13	polynomials	polynomial	NOUN
ejpam-3676	30	14	of	of	ADP
ejpam-3676	30	15	higher	high	ADJ
ejpam-3676	30	16	order	order	NOUN
ejpam-3676	30	17	arising	arise	VERB
ejpam-3676	30	18	from	from	ADP
ejpam-3676	30	19	genocchi	genocchi	PROPN
ejpam-3676	30	20	basis	basis	NOUN
ejpam-3676	30	21	,	,	PUNCT
ejpam-3676	30	22	which	which	PRON
ejpam-3676	30	23	were	be	AUX
ejpam-3676	30	24	defined	define	VERB
ejpam-3676	30	25	by	by	ADP
ejpam-3676	30	26	(	(	PUNCT
ejpam-3676	30	27	2	2	NUM
ejpam-3676	30	28	t	t	NOUN
ejpam-3676	30	29	et	et	NOUN
ejpam-3676	30	30	+	+	CCONJ
ejpam-3676	30	31	1	1	X
ejpam-3676	30	32	)	)	PUNCT
ejpam-3676	30	33	k	k	PROPN
ejpam-3676	30	34	ext	ext	NOUN
ejpam-3676	30	35	=	=	PUNCT
ejpam-3676	30	36	∞∑	∞∑	PRON
ejpam-3676	30	37	n=0	n=0	NUM
ejpam-3676	30	38	g(k	g(k	NOUN
ejpam-3676	30	39	)	)	PUNCT
ejpam-3676	30	40	n	n	CCONJ
ejpam-3676	30	41	(	(	PUNCT
ejpam-3676	30	42	x	x	X
ejpam-3676	30	43	)	)	PUNCT
ejpam-3676	30	44	tn	tn	PROPN
ejpam-3676	30	45	n	n	NUM
ejpam-3676	30	46	!	!	PUNCT
ejpam-3676	30	47	.	.	PUNCT
ejpam-3676	31	1	(	(	PUNCT
ejpam-3676	31	2	7	7	X
ejpam-3676	31	3	)	)	PUNCT
ejpam-3676	31	4	the	the	DET
ejpam-3676	31	5	main	main	ADJ
ejpam-3676	31	6	objective	objective	NOUN
ejpam-3676	31	7	of	of	ADP
ejpam-3676	31	8	their	their	PRON
ejpam-3676	31	9	studies	study	NOUN
ejpam-3676	31	10	is	be	AUX
ejpam-3676	31	11	to	to	PART
ejpam-3676	31	12	derive	derive	VERB
ejpam-3676	31	13	interesting	interesting	ADJ
ejpam-3676	31	14	identities	identity	NOUN
ejpam-3676	31	15	on	on	ADP
ejpam-3676	31	16	(	(	PUNCT
ejpam-3676	31	17	7	7	X
ejpam-3676	31	18	)	)	PUNCT
ejpam-3676	31	19	using	use	VERB
ejpam-3676	31	20	a	a	DET
ejpam-3676	31	21	new	new	ADJ
ejpam-3676	31	22	method	method	NOUN
ejpam-3676	31	23	constructed	construct	VERB
ejpam-3676	31	24	by	by	ADP
ejpam-3676	31	25	kim	kim	PROPN
ejpam-3676	31	26	et	et	PROPN
ejpam-3676	31	27	al	al	PROPN
ejpam-3676	31	28	.	.	PUNCT
ejpam-3676	32	1	[	[	X
ejpam-3676	32	2	11	11	NUM
ejpam-3676	32	3	]	]	PUNCT
ejpam-3676	32	4	.	.	PUNCT
ejpam-3676	33	1	moreover	moreover	ADV
ejpam-3676	33	2	,	,	PUNCT
ejpam-3676	33	3	araci	araci	NOUN
ejpam-3676	33	4	and	and	CCONJ
ejpam-3676	33	5	he	he	PRON
ejpam-3676	34	1	[	[	X
ejpam-3676	34	2	7	7	NUM
ejpam-3676	34	3	,	,	PUNCT
ejpam-3676	34	4	19	19	NUM
ejpam-3676	34	5	,	,	PUNCT
ejpam-3676	34	6	30	30	NUM
ejpam-3676	34	7	]	]	PUNCT
ejpam-3676	34	8	introduced	introduce	VERB
ejpam-3676	34	9	the	the	DET
ejpam-3676	34	10	apostol	apostol	NOUN
ejpam-3676	34	11	-	-	PUNCT
ejpam-3676	34	12	genocchi	genocchi	PROPN
ejpam-3676	34	13	polynomials	polynomial	NOUN
ejpam-3676	34	14	as	as	ADP
ejpam-3676	34	15	an	an	DET
ejpam-3676	34	16	extension	extension	NOUN
ejpam-3676	34	17	of	of	ADP
ejpam-3676	34	18	the	the	DET
ejpam-3676	34	19	genocchi	genocchi	PROPN
ejpam-3676	34	20	polynomials	polynomial	NOUN
ejpam-3676	34	21	,	,	PUNCT
ejpam-3676	34	22	which	which	PRON
ejpam-3676	34	23	were	be	AUX
ejpam-3676	34	24	defined	define	VERB
ejpam-3676	34	25	by	by	ADP
ejpam-3676	34	26	2	2	NUM
ejpam-3676	34	27	t	t	NOUN
ejpam-3676	34	28	λet	λet	NOUN
ejpam-3676	35	1	+	+	NUM
ejpam-3676	35	2	1	1	NUM
ejpam-3676	35	3	ext	ext	NOUN
ejpam-3676	35	4	=	=	NOUN
ejpam-3676	35	5	∞∑	∞∑	NUM
ejpam-3676	35	6	n=0	n=0	NUM
ejpam-3676	35	7	gn(x	gn(x	X
ejpam-3676	35	8	,	,	PUNCT
ejpam-3676	35	9	λ	λ	NOUN
ejpam-3676	35	10	)	)	PUNCT
ejpam-3676	35	11	tn	tn	PROPN
ejpam-3676	35	12	n	n	PROPN
ejpam-3676	35	13	!	!	PROPN
ejpam-3676	35	14	.	.	PUNCT
ejpam-3676	36	1	based	base	VERB
ejpam-3676	36	2	on	on	ADP
ejpam-3676	36	3	this	this	PRON
ejpam-3676	36	4	,	,	PUNCT
ejpam-3676	36	5	araci	araci	NOUN
ejpam-3676	37	1	[	[	X
ejpam-3676	37	2	23	23	NUM
ejpam-3676	37	3	]	]	PUNCT
ejpam-3676	37	4	introduced	introduce	VERB
ejpam-3676	37	5	apostol	apostol	NOUN
ejpam-3676	37	6	-	-	PUNCT
ejpam-3676	37	7	genocchi	genocchi	PROPN
ejpam-3676	37	8	polynomials	polynomial	NOUN
ejpam-3676	37	9	of	of	ADP
ejpam-3676	37	10	higher	high	ADJ
ejpam-3676	37	11	order	order	NOUN
ejpam-3676	37	12	which	which	PRON
ejpam-3676	37	13	is	be	AUX
ejpam-3676	37	14	also	also	ADV
ejpam-3676	37	15	called	call	VERB
ejpam-3676	37	16	the	the	DET
ejpam-3676	37	17	generalized	generalize	VERB
ejpam-3676	37	18	apostol	apostol	NOUN
ejpam-3676	37	19	-	-	PUNCT
ejpam-3676	37	20	genocchi	genocchi	PROPN
ejpam-3676	37	21	polynomials	polynomial	NOUN
ejpam-3676	37	22	of	of	ADP
ejpam-3676	37	23	order	order	NOUN
ejpam-3676	37	24	k	k	PROPN
ejpam-3676	37	25	∈	∈	PROPN
ejpam-3676	37	26	c	c	PROPN
ejpam-3676	37	27	,	,	PUNCT
ejpam-3676	37	28	(	(	PUNCT
ejpam-3676	37	29	2	2	NUM
ejpam-3676	37	30	t	t	NOUN
ejpam-3676	37	31	λet	λet	NOUN
ejpam-3676	37	32	+	+	CCONJ
ejpam-3676	37	33	1	1	X
ejpam-3676	37	34	)	)	PUNCT
ejpam-3676	37	35	k	k	PROPN
ejpam-3676	37	36	ext	ext	NOUN
ejpam-3676	37	37	=	=	PUNCT
ejpam-3676	37	38	∞∑	∞∑	PRON
ejpam-3676	37	39	n=0	n=0	NUM
ejpam-3676	37	40	g(k	g(k	NOUN
ejpam-3676	37	41	)	)	PUNCT
ejpam-3676	37	42	n	n	CCONJ
ejpam-3676	37	43	(	(	PUNCT
ejpam-3676	37	44	x	x	NOUN
ejpam-3676	37	45	,	,	PUNCT
ejpam-3676	37	46	λ	λ	NOUN
ejpam-3676	37	47	)	)	PUNCT
ejpam-3676	37	48	tn	tn	PROPN
ejpam-3676	37	49	n	n	CCONJ
ejpam-3676	37	50	!	!	PUNCT
ejpam-3676	37	51	,	,	PUNCT
ejpam-3676	37	52	|t|	|t|	VERB
ejpam-3676	37	53	<	<	X
ejpam-3676	37	54	π	π	PROPN
ejpam-3676	37	55	when	when	SCONJ
ejpam-3676	37	56	λ	λ	X
ejpam-3676	37	57	=	=	SYM
ejpam-3676	37	58	1	1	NUM
ejpam-3676	37	59	and	and	CCONJ
ejpam-3676	37	60	(	(	PUNCT
ejpam-3676	37	61	8)	8)	NUM
ejpam-3676	37	62	|t|	|t|	NOUN
ejpam-3676	37	63	<	<	X
ejpam-3676	37	64	|	|	ADV
ejpam-3676	37	65	log(−λ)|	log(−λ)|	PROPN
ejpam-3676	37	66	when	when	SCONJ
ejpam-3676	37	67	λ	λ	PROPN
ejpam-3676	37	68	6=	6=	NUM
ejpam-3676	37	69	1;λ	1;λ	NUM
ejpam-3676	37	70	∈	∈	PROPN
ejpam-3676	37	71	c.	c.	NOUN
ejpam-3676	37	72	in	in	ADP
ejpam-3676	37	73	[	[	X
ejpam-3676	37	74	15	15	NUM
ejpam-3676	37	75	]	]	PUNCT
ejpam-3676	37	76	,	,	PUNCT
ejpam-3676	37	77	lim	lim	PROPN
ejpam-3676	37	78	defined	define	VERB
ejpam-3676	37	79	the	the	DET
ejpam-3676	37	80	degenerated	degenerate	VERB
ejpam-3676	37	81	genocchi	genocchi	NOUN
ejpam-3676	37	82	polynomials	polynomial	VERB
ejpam-3676	37	83	g	g	PROPN
ejpam-3676	37	84	(	(	PUNCT
ejpam-3676	37	85	k	k	NOUN
ejpam-3676	37	86	)	)	PUNCT
ejpam-3676	37	87	n	n	PROPN
ejpam-3676	37	88	(	(	PUNCT
ejpam-3676	37	89	x	x	NOUN
ejpam-3676	37	90	,	,	PUNCT
ejpam-3676	37	91	λ	λ	NOUN
ejpam-3676	37	92	)	)	PUNCT
ejpam-3676	37	93	of	of	ADP
ejpam-3676	37	94	order	order	NOUN
ejpam-3676	37	95	k	k	X
ejpam-3676	37	96	to	to	PART
ejpam-3676	37	97	be	be	AUX
ejpam-3676	37	98	(	(	PUNCT
ejpam-3676	37	99	2	2	NUM
ejpam-3676	37	100	t	t	NOUN
ejpam-3676	37	101	(	(	PUNCT
ejpam-3676	37	102	1	1	NUM
ejpam-3676	38	1	+	+	CCONJ
ejpam-3676	38	2	λt)1	λt)1	PROPN
ejpam-3676	38	3	/	/	SYM
ejpam-3676	38	4	λ	λ	PROPN
ejpam-3676	38	5	)	)	PUNCT
ejpam-3676	38	6	k	k	NOUN
ejpam-3676	38	7	(	(	PUNCT
ejpam-3676	38	8	1	1	NUM
ejpam-3676	38	9	+	+	CCONJ
ejpam-3676	38	10	λt)x	λt)x	PROPN
ejpam-3676	38	11	/	/	SYM
ejpam-3676	38	12	λ	λ	NOUN
ejpam-3676	38	13	=	=	SYM
ejpam-3676	38	14	∞∑	∞∑	PRON
ejpam-3676	38	15	n=0	n=0	NUM
ejpam-3676	38	16	g(k	g(k	NOUN
ejpam-3676	38	17	)	)	PUNCT
ejpam-3676	38	18	n	n	CCONJ
ejpam-3676	38	19	(	(	PUNCT
ejpam-3676	38	20	x	x	NOUN
ejpam-3676	38	21	,	,	PUNCT
ejpam-3676	38	22	λ	λ	NOUN
ejpam-3676	38	23	)	)	PUNCT
ejpam-3676	38	24	tn	tn	PROPN
ejpam-3676	38	25	n	n	PROPN
ejpam-3676	38	26	!	!	PUNCT
ejpam-3676	38	27	.	.	PUNCT
ejpam-3676	39	1	besides	besides	SCONJ
ejpam-3676	39	2	these	these	DET
ejpam-3676	39	3	generalizations	generalization	NOUN
ejpam-3676	39	4	,	,	PUNCT
ejpam-3676	39	5	araci	araci	NOUN
ejpam-3676	40	1	[	[	X
ejpam-3676	40	2	20	20	NUM
ejpam-3676	40	3	]	]	PUNCT
ejpam-3676	40	4	,	,	PUNCT
ejpam-3676	40	5	duran	duran	PROPN
ejpam-3676	40	6	et	et	PROPN
ejpam-3676	40	7	al	al	PROPN
ejpam-3676	40	8	.	.	PUNCT
ejpam-3676	41	1	[	[	X
ejpam-3676	41	2	29	29	NUM
ejpam-3676	41	3	]	]	PUNCT
ejpam-3676	41	4	and	and	CCONJ
ejpam-3676	41	5	agyuz	agyuz	VERB
ejpam-3676	41	6	et	et	PROPN
ejpam-3676	41	7	al	al	PROPN
ejpam-3676	41	8	.	.	PUNCT
ejpam-3676	42	1	[	[	X
ejpam-3676	42	2	6	6	NUM
ejpam-3676	42	3	]	]	PUNCT
ejpam-3676	42	4	also	also	ADV
ejpam-3676	42	5	introduced	introduce	VERB
ejpam-3676	42	6	the	the	DET
ejpam-3676	42	7	q	q	NOUN
ejpam-3676	42	8	-	-	PUNCT
ejpam-3676	42	9	analogue	analogue	NOUN
ejpam-3676	42	10	of	of	ADP
ejpam-3676	42	11	the	the	DET
ejpam-3676	42	12	genocchi	genocchi	PROPN
ejpam-3676	42	13	polynomials	polynomial	VERB
ejpam-3676	42	14	as	as	SCONJ
ejpam-3676	42	15	follows	follow	VERB
ejpam-3676	42	16	,	,	PUNCT
ejpam-3676	42	17	∞∑	∞∑	PROPN
ejpam-3676	42	18	n=0	n=0	PROPN
ejpam-3676	42	19	gn	gn	PROPN
ejpam-3676	42	20	,	,	PUNCT
ejpam-3676	42	21	q(x	q(x	PROPN
ejpam-3676	42	22	)	)	PUNCT
ejpam-3676	42	23	tn	tn	PROPN
ejpam-3676	42	24	n	n	PROPN
ejpam-3676	42	25	!	!	PUNCT
ejpam-3676	43	1	=	=	NOUN
ejpam-3676	44	1	t	t	PROPN
ejpam-3676	44	2	∫	∫	PROPN
ejpam-3676	44	3	zp	zp	PROPN
ejpam-3676	44	4	q−yet[y+x]qdµ−q(y	q−yet[y+x]qdµ−q(y	PROPN
ejpam-3676	44	5	)	)	PUNCT
ejpam-3676	44	6	,	,	PUNCT
ejpam-3676	44	7	r.	r.	PROPN
ejpam-3676	44	8	corcino	corcino	PROPN
ejpam-3676	44	9	,	,	PUNCT
ejpam-3676	44	10	m.	m.	NOUN
ejpam-3676	44	11	laurente	laurente	PROPN
ejpam-3676	44	12	,	,	PUNCT
ejpam-3676	44	13	mar	mar	PROPN
ejpam-3676	44	14	.	.	PROPN
ejpam-3676	44	15	vega	vega	PROPN
ejpam-3676	44	16	/	/	SYM
ejpam-3676	44	17	eur	eur	PROPN
ejpam-3676	44	18	.	.	PUNCT
ejpam-3676	45	1	j.	j.	PROPN
ejpam-3676	45	2	pure	pure	PROPN
ejpam-3676	45	3	appl	appl	PROPN
ejpam-3676	45	4	.	.	PROPN
ejpam-3676	45	5	math	math	PROPN
ejpam-3676	45	6	,	,	PUNCT
ejpam-3676	45	7	13	13	NUM
ejpam-3676	45	8	(	(	PUNCT
ejpam-3676	45	9	3	3	NUM
ejpam-3676	45	10	)	)	PUNCT
ejpam-3676	45	11	(	(	PUNCT
ejpam-3676	45	12	2020	2020	NUM
ejpam-3676	45	13	)	)	PUNCT
ejpam-3676	45	14	,	,	PUNCT
ejpam-3676	45	15	444	444	NUM
ejpam-3676	45	16	-	-	SYM
ejpam-3676	45	17	458	458	NUM
ejpam-3676	45	18	446	446	NUM
ejpam-3676	45	19	where	where	SCONJ
ejpam-3676	45	20	[	[	X
ejpam-3676	45	21	x]q	x]q	NOUN
ejpam-3676	45	22	=	=	SYM
ejpam-3676	45	23	1−	1−	NUM
ejpam-3676	46	1	qx	qx	INTJ
ejpam-3676	46	2	1−	1−	NUM
ejpam-3676	46	3	q	q	NOUN
ejpam-3676	46	4	,	,	PUNCT
ejpam-3676	47	1	[	[	X
ejpam-3676	47	2	x]−q	x]−q	X
ejpam-3676	47	3	=	=	SYM
ejpam-3676	47	4	1−	1−	NUM
ejpam-3676	47	5	(	(	PUNCT
ejpam-3676	47	6	−q)x	−q)x	VERB
ejpam-3676	47	7	1	1	NUM
ejpam-3676	47	8	+	+	CCONJ
ejpam-3676	47	9	q	q	NOUN
ejpam-3676	47	10	.	.	PUNCT
ejpam-3676	48	1	this	this	DET
ejpam-3676	48	2	definition	definition	NOUN
ejpam-3676	48	3	is	be	AUX
ejpam-3676	48	4	constructed	construct	VERB
ejpam-3676	48	5	by	by	ADP
ejpam-3676	48	6	p	p	NOUN
ejpam-3676	48	7	-	-	PUNCT
ejpam-3676	48	8	adic	adic	ADJ
ejpam-3676	48	9	fermionic	fermionic	NOUN
ejpam-3676	48	10	q	q	NOUN
ejpam-3676	48	11	-	-	PUNCT
ejpam-3676	48	12	integral	integral	ADJ
ejpam-3676	48	13	on	on	ADP
ejpam-3676	48	14	zp	zp	PROPN
ejpam-3676	48	15	with	with	ADP
ejpam-3676	48	16	respect	respect	NOUN
ejpam-3676	48	17	to	to	ADP
ejpam-3676	48	18	µ−q	µ−q	NOUN
ejpam-3676	48	19	.	.	PUNCT
ejpam-3676	49	1	it	it	PRON
ejpam-3676	49	2	can	can	AUX
ejpam-3676	49	3	also	also	ADV
ejpam-3676	49	4	be	be	AUX
ejpam-3676	49	5	defined	define	VERB
ejpam-3676	49	6	by	by	ADP
ejpam-3676	49	7	∞∑	∞∑	NUM
ejpam-3676	49	8	n=0	n=0	PROPN
ejpam-3676	49	9	gn	gn	PROPN
ejpam-3676	49	10	,	,	PUNCT
ejpam-3676	49	11	q(x	q(x	PROPN
ejpam-3676	49	12	)	)	PUNCT
ejpam-3676	49	13	tn	tn	PROPN
ejpam-3676	49	14	n	n	PROPN
ejpam-3676	49	15	!	!	PUNCT
ejpam-3676	50	1	=	=	PUNCT
ejpam-3676	51	1	[	[	X
ejpam-3676	51	2	2]qt	2]qt	NUM
ejpam-3676	52	1	∞∑	∞∑	NUM
ejpam-3676	52	2	m=0	m=0	PROPN
ejpam-3676	52	3	(	(	PUNCT
ejpam-3676	52	4	−1)met[m+x]q	−1)met[m+x]q	PROPN
ejpam-3676	52	5	.	.	PUNCT
ejpam-3676	53	1	in	in	ADP
ejpam-3676	53	2	which	which	PRON
ejpam-3676	53	3	when	when	SCONJ
ejpam-3676	53	4	we	we	PRON
ejpam-3676	53	5	take	take	VERB
ejpam-3676	53	6	x	x	NOUN
ejpam-3676	53	7	=	=	SYM
ejpam-3676	53	8	0	0	NUM
ejpam-3676	53	9	,	,	PUNCT
ejpam-3676	53	10	it	it	PRON
ejpam-3676	53	11	becomes	become	VERB
ejpam-3676	53	12	gn	gn	PROPN
ejpam-3676	53	13	,	,	PUNCT
ejpam-3676	53	14	q(0	q(0	PROPN
ejpam-3676	53	15	)	)	PUNCT
ejpam-3676	54	1	:	:	PUNCT
ejpam-3676	54	2	=	=	PUNCT
ejpam-3676	54	3	gn	gn	PROPN
ejpam-3676	54	4	,	,	PUNCT
ejpam-3676	54	5	q	q	X
ejpam-3676	54	6	,	,	PUNCT
ejpam-3676	54	7	which	which	PRON
ejpam-3676	54	8	we	we	PRON
ejpam-3676	54	9	call	call	VERB
ejpam-3676	54	10	it	it	PRON
ejpam-3676	54	11	the	the	DET
ejpam-3676	54	12	nth	nth	NOUN
ejpam-3676	54	13	q	q	ADJ
ejpam-3676	54	14	-	-	ADJ
ejpam-3676	54	15	genocchi	genocchi	ADJ
ejpam-3676	54	16	number	number	NOUN
ejpam-3676	54	17	.	.	PUNCT
ejpam-3676	55	1	when	when	SCONJ
ejpam-3676	55	2	it	it	PRON
ejpam-3676	55	3	comes	come	VERB
ejpam-3676	55	4	to	to	ADP
ejpam-3676	55	5	genocchi	genocchi	PROPN
ejpam-3676	55	6	numbers	number	NOUN
ejpam-3676	55	7	,	,	PUNCT
ejpam-3676	55	8	the	the	DET
ejpam-3676	55	9	most	most	ADV
ejpam-3676	55	10	common	common	ADJ
ejpam-3676	55	11	thing	thing	NOUN
ejpam-3676	55	12	that	that	PRON
ejpam-3676	55	13	comes	come	VERB
ejpam-3676	55	14	to	to	ADP
ejpam-3676	55	15	our	our	PRON
ejpam-3676	55	16	mind	mind	NOUN
ejpam-3676	55	17	is	be	AUX
ejpam-3676	55	18	to	to	PART
ejpam-3676	55	19	determine	determine	VERB
ejpam-3676	55	20	the	the	DET
ejpam-3676	55	21	relationship	relationship	NOUN
ejpam-3676	55	22	between	between	ADP
ejpam-3676	55	23	genocchi	genocchi	PROPN
ejpam-3676	55	24	numbers	number	NOUN
ejpam-3676	55	25	,	,	PUNCT
ejpam-3676	55	26	bernoulli	bernoulli	NOUN
ejpam-3676	55	27	numbers	number	NOUN
ejpam-3676	55	28	and	and	CCONJ
ejpam-3676	55	29	euler	euler	NOUN
ejpam-3676	55	30	numbers	number	NOUN
ejpam-3676	55	31	[	[	X
ejpam-3676	55	32	22	22	NUM
ejpam-3676	55	33	]	]	PUNCT
ejpam-3676	55	34	.	.	PUNCT
ejpam-3676	56	1	indeed	indeed	ADV
ejpam-3676	56	2	,	,	PUNCT
ejpam-3676	56	3	most	most	ADJ
ejpam-3676	56	4	researches	research	VERB
ejpam-3676	56	5	on	on	ADP
ejpam-3676	56	6	genocchi	genocchi	PROPN
ejpam-3676	56	7	numbers	number	NOUN
ejpam-3676	56	8	concern	concern	VERB
ejpam-3676	56	9	the	the	DET
ejpam-3676	56	10	relations	relation	NOUN
ejpam-3676	56	11	between	between	ADP
ejpam-3676	56	12	these	these	DET
ejpam-3676	56	13	three	three	NUM
ejpam-3676	56	14	kinds	kind	NOUN
ejpam-3676	56	15	of	of	ADP
ejpam-3676	56	16	numbers	number	NOUN
ejpam-3676	56	17	[	[	X
ejpam-3676	56	18	3	3	NUM
ejpam-3676	56	19	,	,	PUNCT
ejpam-3676	56	20	4	4	NUM
ejpam-3676	56	21	,	,	PUNCT
ejpam-3676	56	22	12	12	NUM
ejpam-3676	56	23	,	,	PUNCT
ejpam-3676	56	24	22	22	NUM
ejpam-3676	56	25	]	]	PUNCT
ejpam-3676	56	26	.	.	PUNCT
ejpam-3676	57	1	in	in	ADP
ejpam-3676	57	2	other	other	ADJ
ejpam-3676	57	3	words	word	NOUN
ejpam-3676	57	4	,	,	PUNCT
ejpam-3676	57	5	there	there	PRON
ejpam-3676	57	6	are	be	VERB
ejpam-3676	57	7	many	many	ADJ
ejpam-3676	57	8	literatures	literature	NOUN
ejpam-3676	57	9	that	that	PRON
ejpam-3676	57	10	provide	provide	VERB
ejpam-3676	57	11	identities	identity	NOUN
ejpam-3676	57	12	on	on	ADP
ejpam-3676	57	13	these	these	DET
ejpam-3676	57	14	three	three	NUM
ejpam-3676	57	15	kinds	kind	NOUN
ejpam-3676	57	16	of	of	ADP
ejpam-3676	57	17	numbers	number	NOUN
ejpam-3676	57	18	.	.	PUNCT
ejpam-3676	58	1	similarly	similarly	ADV
ejpam-3676	58	2	,	,	PUNCT
ejpam-3676	58	3	when	when	SCONJ
ejpam-3676	58	4	it	it	PRON
ejpam-3676	58	5	comes	come	VERB
ejpam-3676	58	6	to	to	ADP
ejpam-3676	58	7	genocchi	genocchi	PROPN
ejpam-3676	58	8	polynomials	polynomial	NOUN
ejpam-3676	58	9	,	,	PUNCT
ejpam-3676	58	10	the	the	DET
ejpam-3676	58	11	most	most	ADV
ejpam-3676	58	12	common	common	ADJ
ejpam-3676	58	13	thing	thing	NOUN
ejpam-3676	58	14	is	be	AUX
ejpam-3676	58	15	to	to	PART
ejpam-3676	58	16	establish	establish	VERB
ejpam-3676	58	17	relationship	relationship	NOUN
ejpam-3676	58	18	between	between	ADP
ejpam-3676	58	19	genocchi	genocchi	PROPN
ejpam-3676	58	20	polynomials	polynomial	NOUN
ejpam-3676	58	21	,	,	PUNCT
ejpam-3676	58	22	bernoulli	bernoulli	NOUN
ejpam-3676	58	23	polynomials	polynomial	NOUN
ejpam-3676	58	24	and	and	CCONJ
ejpam-3676	58	25	euler	euler	NOUN
ejpam-3676	58	26	polynomials	polynomial	NOUN
ejpam-3676	58	27	[	[	X
ejpam-3676	58	28	2–4	2–4	NUM
ejpam-3676	58	29	,	,	PUNCT
ejpam-3676	58	30	8	8	NUM
ejpam-3676	58	31	,	,	PUNCT
ejpam-3676	58	32	12	12	NUM
ejpam-3676	58	33	,	,	PUNCT
ejpam-3676	58	34	22	22	NUM
ejpam-3676	58	35	,	,	PUNCT
ejpam-3676	58	36	30	30	NUM
ejpam-3676	58	37	]	]	PUNCT
ejpam-3676	58	38	.	.	PUNCT
ejpam-3676	59	1	another	another	DET
ejpam-3676	59	2	form	form	NOUN
ejpam-3676	59	3	of	of	ADP
ejpam-3676	59	4	generalization	generalization	NOUN
ejpam-3676	59	5	of	of	ADP
ejpam-3676	59	6	bernoulli	bernoulli	NOUN
ejpam-3676	59	7	polynomials	polynomial	NOUN
ejpam-3676	59	8	was	be	AUX
ejpam-3676	59	9	introduced	introduce	VERB
ejpam-3676	59	10	by	by	ADP
ejpam-3676	59	11	kaneko	kaneko	PROPN
ejpam-3676	59	12	[	[	X
ejpam-3676	59	13	10	10	NUM
ejpam-3676	59	14	]	]	PUNCT
ejpam-3676	59	15	.	.	PUNCT
ejpam-3676	60	1	this	this	DET
ejpam-3676	60	2	generalization	generalization	NOUN
ejpam-3676	60	3	was	be	AUX
ejpam-3676	60	4	defined	define	VERB
ejpam-3676	60	5	in	in	ADP
ejpam-3676	60	6	terms	term	NOUN
ejpam-3676	60	7	of	of	ADP
ejpam-3676	60	8	the	the	DET
ejpam-3676	60	9	following	follow	VERB
ejpam-3676	60	10	kth	kth	PROPN
ejpam-3676	60	11	polylogarithm	polylogarithm	PROPN
ejpam-3676	60	12	lik(z	lik(z	PROPN
ejpam-3676	60	13	):	):	PUNCT
ejpam-3676	60	14	lik(z	lik(z	PROPN
ejpam-3676	60	15	)	)	PUNCT
ejpam-3676	60	16	=	=	PUNCT
ejpam-3676	61	1	∞∑	∞∑	NUM
ejpam-3676	61	2	n=1	n=1	PROPN
ejpam-3676	61	3	zn	zn	PROPN
ejpam-3676	61	4	nk	nk	PROPN
ejpam-3676	61	5	.	.	PUNCT
ejpam-3676	62	1	(	(	PUNCT
ejpam-3676	62	2	9	9	NUM
ejpam-3676	62	3	)	)	PUNCT
ejpam-3676	62	4	where	where	SCONJ
ejpam-3676	62	5	k	k	PROPN
ejpam-3676	62	6	∈	∈	PROPN
ejpam-3676	62	7	z	z	PROPN
ejpam-3676	62	8	and	and	CCONJ
ejpam-3676	62	9	z	z	PROPN
ejpam-3676	62	10	∈	∈	PROPN
ejpam-3676	62	11	c	c	NOUN
ejpam-3676	62	12	with	with	ADP
ejpam-3676	62	13	|z|	|z|	NOUN
ejpam-3676	62	14	<	<	X
ejpam-3676	62	15	1	1	NUM
ejpam-3676	62	16	which	which	PRON
ejpam-3676	62	17	can	can	AUX
ejpam-3676	62	18	be	be	AUX
ejpam-3676	62	19	extended	extend	VERB
ejpam-3676	62	20	to	to	ADP
ejpam-3676	62	21	z	z	PROPN
ejpam-3676	62	22	≥	≥	NUM
ejpam-3676	62	23	1	1	NUM
ejpam-3676	62	24	by	by	ADP
ejpam-3676	62	25	the	the	DET
ejpam-3676	62	26	process	process	NOUN
ejpam-3676	62	27	of	of	ADP
ejpam-3676	62	28	analytic	analytic	ADJ
ejpam-3676	62	29	continuation	continuation	NOUN
ejpam-3676	62	30	.	.	PUNCT
ejpam-3676	63	1	when	when	SCONJ
ejpam-3676	63	2	z	z	NOUN
ejpam-3676	63	3	=	=	SYM
ejpam-3676	63	4	1	1	NUM
ejpam-3676	63	5	,	,	PUNCT
ejpam-3676	63	6	the	the	DET
ejpam-3676	63	7	kth	kth	PROPN
ejpam-3676	63	8	polylogarithm	polylogarithm	PROPN
ejpam-3676	63	9	gives	give	VERB
ejpam-3676	63	10	the	the	DET
ejpam-3676	63	11	riemann	riemann	PROPN
ejpam-3676	63	12	zeta	zeta	PROPN
ejpam-3676	63	13	function	function	PROPN
ejpam-3676	63	14	.	.	PUNCT
ejpam-3676	64	1	that	that	PRON
ejpam-3676	64	2	is	be	AUX
ejpam-3676	64	3	,	,	PUNCT
ejpam-3676	64	4	lik(1	lik(1	NOUN
ejpam-3676	64	5	)	)	PUNCT
ejpam-3676	65	1	=	=	SYM
ejpam-3676	65	2	ζ(k	ζ(k	PROPN
ejpam-3676	65	3	)	)	PUNCT
ejpam-3676	66	1	=	=	PUNCT
ejpam-3676	67	1	∞∑	∞∑	NUM
ejpam-3676	67	2	n=1	n=1	PROPN
ejpam-3676	67	3	1	1	NUM
ejpam-3676	67	4	nk	nk	PROPN
ejpam-3676	67	5	.	.	PUNCT
ejpam-3676	68	1	also	also	ADV
ejpam-3676	68	2	,	,	PUNCT
ejpam-3676	68	3	when	when	SCONJ
ejpam-3676	68	4	k	k	PROPN
ejpam-3676	68	5	=	=	SYM
ejpam-3676	68	6	1	1	NUM
ejpam-3676	68	7	,	,	PUNCT
ejpam-3676	68	8	the	the	DET
ejpam-3676	68	9	1st	1st	ADJ
ejpam-3676	68	10	polylogarithm	polylogarithm	PROPN
ejpam-3676	68	11	yields	yield	VERB
ejpam-3676	68	12	the	the	DET
ejpam-3676	68	13	natural	natural	ADJ
ejpam-3676	68	14	logarithmic	logarithmic	ADJ
ejpam-3676	68	15	function	function	NOUN
ejpam-3676	68	16	as	as	SCONJ
ejpam-3676	68	17	follows	follow	VERB
ejpam-3676	68	18	:	:	PUNCT
ejpam-3676	68	19	li1(z	li1(z	PROPN
ejpam-3676	68	20	)	)	PUNCT
ejpam-3676	68	21	=	=	PUNCT
ejpam-3676	69	1	−	−	PROPN
ejpam-3676	69	2	ln(1−	ln(1−	PROPN
ejpam-3676	69	3	z	z	PROPN
ejpam-3676	69	4	)	)	PUNCT
ejpam-3676	69	5	.	.	PUNCT
ejpam-3676	70	1	this	this	DET
ejpam-3676	70	2	special	special	ADJ
ejpam-3676	70	3	case	case	NOUN
ejpam-3676	70	4	of	of	ADP
ejpam-3676	70	5	the	the	DET
ejpam-3676	70	6	polylogarithm	polylogarithm	PROPN
ejpam-3676	70	7	motivates	motivate	VERB
ejpam-3676	70	8	the	the	DET
ejpam-3676	70	9	construction	construction	NOUN
ejpam-3676	70	10	of	of	ADP
ejpam-3676	70	11	poly	poly	ADJ
ejpam-3676	70	12	-	-	PUNCT
ejpam-3676	70	13	bernoulli	bernoulli	NOUN
ejpam-3676	70	14	numbers	number	NOUN
ejpam-3676	70	15	in	in	ADP
ejpam-3676	70	16	the	the	DET
ejpam-3676	70	17	sense	sense	NOUN
ejpam-3676	70	18	that	that	SCONJ
ejpam-3676	70	19	li1(1−	li1(1−	ADP
ejpam-3676	70	20	e−x	e−x	NOUN
ejpam-3676	70	21	)	)	PUNCT
ejpam-3676	70	22	=	=	PUNCT
ejpam-3676	70	23	x.	x.	NOUN
ejpam-3676	71	1	the	the	DET
ejpam-3676	71	2	poly	poly	ADJ
ejpam-3676	71	3	-	-	PUNCT
ejpam-3676	71	4	bernoulli	bernoulli	NOUN
ejpam-3676	71	5	numbers	number	NOUN
ejpam-3676	71	6	b	b	X
ejpam-3676	71	7	(	(	PUNCT
ejpam-3676	71	8	k	k	NOUN
ejpam-3676	71	9	)	)	PUNCT
ejpam-3676	71	10	n	n	CCONJ
ejpam-3676	71	11	were	be	AUX
ejpam-3676	71	12	defined	define	VERB
ejpam-3676	71	13	by	by	ADP
ejpam-3676	71	14	kaneko	kaneko	PROPN
ejpam-3676	72	1	[	[	X
ejpam-3676	72	2	10	10	NUM
ejpam-3676	72	3	]	]	PUNCT
ejpam-3676	72	4	as	as	ADP
ejpam-3676	72	5	lik(1−	lik(1−	PROPN
ejpam-3676	72	6	e−t	e−t	NOUN
ejpam-3676	72	7	)	)	PUNCT
ejpam-3676	72	8	et	et	NOUN
ejpam-3676	72	9	−	−	NOUN
ejpam-3676	72	10	1	1	NUM
ejpam-3676	72	11	=	=	PUNCT
ejpam-3676	72	12	∞∑	∞∑	NUM
ejpam-3676	72	13	n=0	n=0	NUM
ejpam-3676	72	14	b(k	b(k	PROPN
ejpam-3676	72	15	)	)	PUNCT
ejpam-3676	72	16	n	n	PROPN
ejpam-3676	72	17	tn	tn	PROPN
ejpam-3676	72	18	n	n	X
ejpam-3676	72	19	!	!	PUNCT
ejpam-3676	72	20	.	.	PUNCT
ejpam-3676	73	1	(	(	PUNCT
ejpam-3676	73	2	10	10	NUM
ejpam-3676	73	3	)	)	PUNCT
ejpam-3676	73	4	r.	r.	PROPN
ejpam-3676	73	5	corcino	corcino	PROPN
ejpam-3676	73	6	,	,	PUNCT
ejpam-3676	73	7	m.	m.	NOUN
ejpam-3676	73	8	laurente	laurente	PROPN
ejpam-3676	73	9	,	,	PUNCT
ejpam-3676	73	10	mar	mar	PROPN
ejpam-3676	73	11	.	.	PROPN
ejpam-3676	73	12	vega	vega	PROPN
ejpam-3676	73	13	/	/	SYM
ejpam-3676	73	14	eur	eur	PROPN
ejpam-3676	73	15	.	.	PUNCT
ejpam-3676	74	1	j.	j.	PROPN
ejpam-3676	74	2	pure	pure	PROPN
ejpam-3676	74	3	appl	appl	PROPN
ejpam-3676	74	4	.	.	PROPN
ejpam-3676	74	5	math	math	PROPN
ejpam-3676	74	6	,	,	PUNCT
ejpam-3676	74	7	13	13	NUM
ejpam-3676	74	8	(	(	PUNCT
ejpam-3676	74	9	3	3	NUM
ejpam-3676	74	10	)	)	PUNCT
ejpam-3676	74	11	(	(	PUNCT
ejpam-3676	74	12	2020	2020	NUM
ejpam-3676	74	13	)	)	PUNCT
ejpam-3676	74	14	,	,	PUNCT
ejpam-3676	74	15	444	444	NUM
ejpam-3676	74	16	-	-	SYM
ejpam-3676	74	17	458	458	NUM
ejpam-3676	74	18	447	447	NUM
ejpam-3676	74	19	parallel	parallel	NOUN
ejpam-3676	74	20	to	to	ADP
ejpam-3676	74	21	this	this	PRON
ejpam-3676	74	22	,	,	PUNCT
ejpam-3676	74	23	kim	kim	PROPN
ejpam-3676	74	24	et	et	PROPN
ejpam-3676	74	25	al	al	PROPN
ejpam-3676	74	26	.	.	PUNCT
ejpam-3676	75	1	[	[	X
ejpam-3676	75	2	27	27	NUM
ejpam-3676	75	3	]	]	SYM
ejpam-3676	75	4	defined	define	VERB
ejpam-3676	75	5	poly	poly	ADJ
ejpam-3676	75	6	-	-	PUNCT
ejpam-3676	75	7	genocchi	genocchi	NOUN
ejpam-3676	75	8	polynomials	polynomial	NOUN
ejpam-3676	75	9	as	as	SCONJ
ejpam-3676	75	10	follows	follow	VERB
ejpam-3676	75	11	2lik(1−	2lik(1−	NUM
ejpam-3676	75	12	e−t	e−t	NOUN
ejpam-3676	75	13	)	)	PUNCT
ejpam-3676	75	14	et	et	NOUN
ejpam-3676	76	1	+	+	NOUN
ejpam-3676	76	2	1	1	NUM
ejpam-3676	76	3	ext	ext	NOUN
ejpam-3676	76	4	=	=	NOUN
ejpam-3676	76	5	∞∑	∞∑	PRON
ejpam-3676	76	6	n=0	n=0	NUM
ejpam-3676	76	7	g(k	g(k	NOUN
ejpam-3676	76	8	)	)	PUNCT
ejpam-3676	76	9	n	n	CCONJ
ejpam-3676	76	10	(	(	PUNCT
ejpam-3676	76	11	x	x	X
ejpam-3676	76	12	)	)	PUNCT
ejpam-3676	76	13	tn	tn	PROPN
ejpam-3676	76	14	n	n	NUM
ejpam-3676	76	15	!	!	PUNCT
ejpam-3676	76	16	.	.	PUNCT
ejpam-3676	77	1	(	(	PUNCT
ejpam-3676	77	2	11	11	X
ejpam-3676	77	3	)	)	PUNCT
ejpam-3676	77	4	note	note	VERB
ejpam-3676	77	5	that	that	SCONJ
ejpam-3676	77	6	,	,	PUNCT
ejpam-3676	77	7	when	when	SCONJ
ejpam-3676	77	8	x	x	X
ejpam-3676	77	9	=	=	SYM
ejpam-3676	77	10	0	0	NUM
ejpam-3676	77	11	,	,	PUNCT
ejpam-3676	77	12	(	(	PUNCT
ejpam-3676	77	13	11	11	NUM
ejpam-3676	77	14	)	)	PUNCT
ejpam-3676	77	15	reduces	reduce	VERB
ejpam-3676	77	16	to	to	ADP
ejpam-3676	77	17	2lik(1−	2lik(1−	NUM
ejpam-3676	77	18	e−t	e−t	NOUN
ejpam-3676	77	19	)	)	PUNCT
ejpam-3676	77	20	et	et	NOUN
ejpam-3676	78	1	+	+	NOUN
ejpam-3676	78	2	1	1	X
ejpam-3676	78	3	=	=	VERB
ejpam-3676	78	4	∞∑	∞∑	PRON
ejpam-3676	78	5	n=0	n=0	NUM
ejpam-3676	78	6	g(k	g(k	NOUN
ejpam-3676	78	7	)	)	PUNCT
ejpam-3676	78	8	n	n	PROPN
ejpam-3676	78	9	tn	tn	NOUN
ejpam-3676	78	10	n	n	X
ejpam-3676	78	11	!	!	PUNCT
ejpam-3676	78	12	.	.	PUNCT
ejpam-3676	79	1	(	(	PUNCT
ejpam-3676	79	2	12	12	NUM
ejpam-3676	79	3	)	)	PUNCT
ejpam-3676	79	4	where	where	SCONJ
ejpam-3676	79	5	g	g	PROPN
ejpam-3676	79	6	(	(	PUNCT
ejpam-3676	79	7	k	k	NOUN
ejpam-3676	79	8	)	)	PUNCT
ejpam-3676	79	9	n	n	CCONJ
ejpam-3676	79	10	are	be	AUX
ejpam-3676	79	11	called	call	VERB
ejpam-3676	79	12	the	the	DET
ejpam-3676	79	13	poly	poly	ADJ
ejpam-3676	79	14	-	-	PUNCT
ejpam-3676	79	15	genocchi	genocchi	NOUN
ejpam-3676	79	16	numbers	number	NOUN
ejpam-3676	79	17	.	.	PUNCT
ejpam-3676	80	1	moreover	moreover	ADV
ejpam-3676	80	2	,	,	PUNCT
ejpam-3676	80	3	they	they	PRON
ejpam-3676	80	4	defined	define	VERB
ejpam-3676	80	5	a	a	DET
ejpam-3676	80	6	modified	modify	VERB
ejpam-3676	80	7	poly	poly	ADJ
ejpam-3676	80	8	-	-	PUNCT
ejpam-3676	80	9	genocchi	genocchi	NOUN
ejpam-3676	80	10	polynomials	polynomial	NOUN
ejpam-3676	80	11	,	,	PUNCT
ejpam-3676	80	12	denoted	denote	VERB
ejpam-3676	80	13	by	by	ADP
ejpam-3676	80	14	g	g	PROPN
ejpam-3676	80	15	(	(	PUNCT
ejpam-3676	80	16	k	k	NOUN
ejpam-3676	80	17	)	)	PUNCT
ejpam-3676	80	18	n,2(x	n,2(x	NOUN
ejpam-3676	80	19	)	)	PUNCT
ejpam-3676	80	20	,	,	PUNCT
ejpam-3676	80	21	as	as	SCONJ
ejpam-3676	80	22	follows	follow	VERB
ejpam-3676	80	23	lik(1−	lik(1−	PROPN
ejpam-3676	80	24	e−2	e−2	PROPN
ejpam-3676	80	25	t	t	PROPN
ejpam-3676	80	26	)	)	PUNCT
ejpam-3676	80	27	et	et	NOUN
ejpam-3676	81	1	+	+	NOUN
ejpam-3676	81	2	1	1	NUM
ejpam-3676	81	3	ext	ext	NOUN
ejpam-3676	81	4	=	=	NOUN
ejpam-3676	81	5	∞∑	∞∑	NUM
ejpam-3676	81	6	n=0	n=0	NUM
ejpam-3676	81	7	g	g	NOUN
ejpam-3676	81	8	(	(	PUNCT
ejpam-3676	81	9	k	k	NOUN
ejpam-3676	81	10	)	)	PUNCT
ejpam-3676	81	11	n,2(x	n,2(x	NOUN
ejpam-3676	81	12	)	)	PUNCT
ejpam-3676	81	13	tn	tn	PROPN
ejpam-3676	81	14	n	n	PROPN
ejpam-3676	81	15	!	!	PUNCT
ejpam-3676	81	16	.	.	PUNCT
ejpam-3676	82	1	(	(	PUNCT
ejpam-3676	82	2	13	13	X
ejpam-3676	82	3	)	)	PUNCT
ejpam-3676	82	4	note	note	NOUN
ejpam-3676	82	5	that	that	SCONJ
ejpam-3676	82	6	g(1	g(1	NOUN
ejpam-3676	82	7	)	)	PUNCT
ejpam-3676	82	8	n	n	NOUN
ejpam-3676	82	9	:	:	PUNCT
ejpam-3676	82	10	=	=	SYM
ejpam-3676	82	11	g	g	PROPN
ejpam-3676	82	12	(	(	PUNCT
ejpam-3676	82	13	1	1	NUM
ejpam-3676	82	14	)	)	PUNCT
ejpam-3676	82	15	n,2	n,2	VERB
ejpam-3676	82	16	:	:	PUNCT
ejpam-3676	82	17	=	=	SYM
ejpam-3676	82	18	gn(x	gn(x	X
ejpam-3676	82	19	)	)	PUNCT
ejpam-3676	82	20	.	.	PUNCT
ejpam-3676	83	1	kim	kim	PROPN
ejpam-3676	83	2	et	et	PROPN
ejpam-3676	83	3	al	al	PROPN
ejpam-3676	83	4	.	.	PUNCT
ejpam-3676	84	1	[	[	X
ejpam-3676	84	2	27	27	NUM
ejpam-3676	84	3	]	]	PUNCT
ejpam-3676	84	4	obtained	obtain	VERB
ejpam-3676	84	5	several	several	ADJ
ejpam-3676	84	6	properties	property	NOUN
ejpam-3676	84	7	of	of	ADP
ejpam-3676	84	8	these	these	DET
ejpam-3676	84	9	polynomials	polynomial	NOUN
ejpam-3676	84	10	.	.	PUNCT
ejpam-3676	85	1	on	on	ADP
ejpam-3676	85	2	the	the	DET
ejpam-3676	85	3	other	other	ADJ
ejpam-3676	85	4	hand	hand	NOUN
ejpam-3676	85	5	,	,	PUNCT
ejpam-3676	85	6	kurt	kurt	PROPN
ejpam-3676	85	7	[	[	X
ejpam-3676	85	8	13	13	NUM
ejpam-3676	85	9	]	]	PUNCT
ejpam-3676	85	10	defined	define	VERB
ejpam-3676	85	11	two	two	NUM
ejpam-3676	85	12	forms	form	NOUN
ejpam-3676	85	13	of	of	ADP
ejpam-3676	85	14	generalized	generalized	ADJ
ejpam-3676	85	15	poly	poly	ADJ
ejpam-3676	85	16	-	-	PUNCT
ejpam-3676	85	17	genocchi	genocchi	NOUN
ejpam-3676	85	18	polynomials	polynomial	NOUN
ejpam-3676	85	19	with	with	ADP
ejpam-3676	85	20	parameters	parameter	NOUN
ejpam-3676	85	21	a	a	DET
ejpam-3676	85	22	,	,	PUNCT
ejpam-3676	85	23	b	b	NOUN
ejpam-3676	85	24	,	,	PUNCT
ejpam-3676	85	25	and	and	CCONJ
ejpam-3676	85	26	c	c	X
ejpam-3676	85	27	,	,	PUNCT
ejpam-3676	85	28	as	as	SCONJ
ejpam-3676	85	29	follows	follow	VERB
ejpam-3676	85	30	2lik(1−	2lik(1−	NUM
ejpam-3676	85	31	(	(	PUNCT
ejpam-3676	85	32	ab)−t	ab)−t	PROPN
ejpam-3676	85	33	)	)	PUNCT
ejpam-3676	85	34	a−t	a−t	VERB
ejpam-3676	86	1	+	+	CCONJ
ejpam-3676	86	2	bt	bt	X
ejpam-3676	86	3	ext	ext	NOUN
ejpam-3676	86	4	=	=	PUNCT
ejpam-3676	86	5	∞∑	∞∑	NUM
ejpam-3676	86	6	n=0	n=0	NUM
ejpam-3676	86	7	g(k	g(k	NOUN
ejpam-3676	86	8	)	)	PUNCT
ejpam-3676	86	9	n	n	CCONJ
ejpam-3676	86	10	(	(	PUNCT
ejpam-3676	86	11	x	x	X
ejpam-3676	86	12	;	;	PUNCT
ejpam-3676	86	13	a	a	DET
ejpam-3676	86	14	,	,	PUNCT
ejpam-3676	86	15	b	b	NOUN
ejpam-3676	86	16	,	,	PUNCT
ejpam-3676	86	17	c	c	NOUN
ejpam-3676	86	18	)	)	PUNCT
ejpam-3676	86	19	tn	tn	PROPN
ejpam-3676	86	20	n	n	CCONJ
ejpam-3676	86	21	!	!	PUNCT
ejpam-3676	86	22	(	(	PUNCT
ejpam-3676	86	23	14	14	NUM
ejpam-3676	86	24	)	)	PUNCT
ejpam-3676	86	25	2lik(1−	2lik(1−	NUM
ejpam-3676	86	26	(	(	PUNCT
ejpam-3676	86	27	ab)−2	ab)−2	NOUN
ejpam-3676	86	28	t	t	PROPN
ejpam-3676	86	29	)	)	PUNCT
ejpam-3676	86	30	a−t	a−t	PROPN
ejpam-3676	86	31	+	+	CCONJ
ejpam-3676	86	32	bt	bt	X
ejpam-3676	86	33	ext	ext	NOUN
ejpam-3676	86	34	=	=	PUNCT
ejpam-3676	87	1	∞∑	∞∑	NUM
ejpam-3676	87	2	n=0	n=0	NUM
ejpam-3676	87	3	g	g	NOUN
ejpam-3676	87	4	(	(	PUNCT
ejpam-3676	87	5	k	k	NOUN
ejpam-3676	87	6	)	)	PUNCT
ejpam-3676	87	7	n,2(x	n,2(x	PROPN
ejpam-3676	87	8	;	;	PUNCT
ejpam-3676	87	9	a	a	DET
ejpam-3676	87	10	,	,	PUNCT
ejpam-3676	87	11	b	b	NOUN
ejpam-3676	87	12	,	,	PUNCT
ejpam-3676	87	13	c	c	NOUN
ejpam-3676	87	14	)	)	PUNCT
ejpam-3676	87	15	tn	tn	PROPN
ejpam-3676	87	16	n	n	CCONJ
ejpam-3676	87	17	!	!	PROPN
ejpam-3676	87	18	,	,	PUNCT
ejpam-3676	87	19	(	(	PUNCT
ejpam-3676	87	20	15	15	X
ejpam-3676	87	21	)	)	PUNCT
ejpam-3676	87	22	which	which	PRON
ejpam-3676	87	23	are	be	AUX
ejpam-3676	87	24	motivated	motivate	VERB
ejpam-3676	87	25	by	by	ADP
ejpam-3676	87	26	the	the	DET
ejpam-3676	87	27	definitions	definition	NOUN
ejpam-3676	87	28	in	in	ADP
ejpam-3676	87	29	(	(	PUNCT
ejpam-3676	87	30	11	11	NUM
ejpam-3676	87	31	)	)	PUNCT
ejpam-3676	87	32	and	and	CCONJ
ejpam-3676	87	33	(	(	PUNCT
ejpam-3676	87	34	13	13	NUM
ejpam-3676	87	35	)	)	PUNCT
ejpam-3676	87	36	,	,	PUNCT
ejpam-3676	87	37	respectively	respectively	ADV
ejpam-3676	87	38	.	.	PUNCT
ejpam-3676	88	1	kurt	kurt	PROPN
ejpam-3676	89	1	[	[	X
ejpam-3676	89	2	13	13	NUM
ejpam-3676	89	3	]	]	PUNCT
ejpam-3676	89	4	also	also	ADV
ejpam-3676	89	5	derived	derive	VERB
ejpam-3676	89	6	several	several	ADJ
ejpam-3676	89	7	properties	property	NOUN
ejpam-3676	89	8	parallel	parallel	ADJ
ejpam-3676	89	9	to	to	ADP
ejpam-3676	89	10	those	those	PRON
ejpam-3676	89	11	of	of	ADP
ejpam-3676	89	12	poly	poly	ADJ
ejpam-3676	89	13	-	-	PUNCT
ejpam-3676	89	14	genocchi	genocchi	NOUN
ejpam-3676	89	15	polynomials	polynomial	NOUN
ejpam-3676	89	16	by	by	ADP
ejpam-3676	89	17	kim	kim	PROPN
ejpam-3676	89	18	et	et	PROPN
ejpam-3676	89	19	al	al	PROPN
ejpam-3676	89	20	.	.	PUNCT
ejpam-3676	90	1	[	[	X
ejpam-3676	90	2	27	27	NUM
ejpam-3676	90	3	]	]	PUNCT
ejpam-3676	90	4	.	.	PUNCT
ejpam-3676	91	1	the	the	DET
ejpam-3676	91	2	followings	following	NOUN
ejpam-3676	91	3	are	be	AUX
ejpam-3676	91	4	some	some	DET
ejpam-3676	91	5	relations	relation	NOUN
ejpam-3676	91	6	between	between	ADP
ejpam-3676	91	7	poly	poly	ADJ
ejpam-3676	91	8	-	-	PUNCT
ejpam-3676	91	9	bernoulli	bernoulli	NOUN
ejpam-3676	91	10	and	and	CCONJ
ejpam-3676	91	11	poly	poly	ADJ
ejpam-3676	91	12	-	-	PUNCT
ejpam-3676	91	13	genocchi	genocchi	NOUN
ejpam-3676	91	14	numbers	number	NOUN
ejpam-3676	91	15	and	and	CCONJ
ejpam-3676	91	16	polynomials	polynomial	NOUN
ejpam-3676	91	17	;	;	PUNCT
ejpam-3676	91	18	poly	poly	ADJ
ejpam-3676	91	19	-	-	PUNCT
ejpam-3676	91	20	genocchi	genocchi	PROPN
ejpam-3676	91	21	numbers	number	NOUN
ejpam-3676	91	22	,	,	PUNCT
ejpam-3676	91	23	euler	euler	NOUN
ejpam-3676	91	24	number	number	NOUN
ejpam-3676	91	25	and	and	CCONJ
ejpam-3676	91	26	stirling	stirling	NOUN
ejpam-3676	91	27	numbers	number	NOUN
ejpam-3676	91	28	of	of	ADP
ejpam-3676	91	29	the	the	DET
ejpam-3676	91	30	second	second	ADJ
ejpam-3676	91	31	kind	kind	NOUN
ejpam-3676	91	32	;	;	PUNCT
ejpam-3676	91	33	and	and	CCONJ
ejpam-3676	91	34	modified	modify	VERB
ejpam-3676	91	35	poly	poly	ADJ
ejpam-3676	91	36	-	-	PUNCT
ejpam-3676	91	37	bernoulli	bernoulli	NOUN
ejpam-3676	91	38	and	and	CCONJ
ejpam-3676	91	39	poly	poly	ADJ
ejpam-3676	91	40	-	-	PUNCT
ejpam-3676	91	41	genocchi	genocchi	NOUN
ejpam-3676	91	42	polynomials	polynomial	NOUN
ejpam-3676	91	43	:	:	PUNCT
ejpam-3676	91	44	nb	nb	INTJ
ejpam-3676	91	45	(	(	PUNCT
ejpam-3676	91	46	k	k	NOUN
ejpam-3676	91	47	)	)	PUNCT
ejpam-3676	91	48	n−1	n−1	PROPN
ejpam-3676	91	49	=	=	SYM
ejpam-3676	91	50	1	1	NUM
ejpam-3676	91	51	2	2	NUM
ejpam-3676	91	52	ng	ng	PROPN
ejpam-3676	91	53	(	(	PUNCT
ejpam-3676	91	54	k	k	NOUN
ejpam-3676	91	55	)	)	PUNCT
ejpam-3676	91	56	n−1	n−1	PROPN
ejpam-3676	92	1	+	+	CCONJ
ejpam-3676	92	2	n∑	n∑	PROPN
ejpam-3676	92	3	m=0	m=0	PROPN
ejpam-3676	92	4	(	(	PUNCT
ejpam-3676	92	5	n	n	NOUN
ejpam-3676	92	6	m	m	PROPN
ejpam-3676	92	7	)	)	PUNCT
ejpam-3676	92	8	bmg	bmg	NOUN
ejpam-3676	92	9	(	(	PUNCT
ejpam-3676	92	10	k	k	NOUN
ejpam-3676	92	11	)	)	PUNCT
ejpam-3676	92	12	n−m	n−m	PROPN
ejpam-3676	92	13	(	(	PUNCT
ejpam-3676	92	14	16	16	NUM
ejpam-3676	92	15	)	)	PUNCT
ejpam-3676	92	16	b	b	NOUN
ejpam-3676	92	17	(	(	PUNCT
ejpam-3676	92	18	k	k	NOUN
ejpam-3676	92	19	)	)	PUNCT
ejpam-3676	92	20	n,2	n,2	VERB
ejpam-3676	92	21	−	−	NOUN
ejpam-3676	92	22	2n+1b(k	2n+1b(k	NOUN
ejpam-3676	92	23	)	)	PUNCT
ejpam-3676	92	24	n	n	NOUN
ejpam-3676	92	25	=	=	SYM
ejpam-3676	92	26	1	1	NUM
ejpam-3676	92	27	2	2	NUM
ejpam-3676	92	28	g	g	NOUN
ejpam-3676	92	29	(	(	PUNCT
ejpam-3676	92	30	k	k	NOUN
ejpam-3676	92	31	)	)	PUNCT
ejpam-3676	92	32	n,2	n,2	ADJ
ejpam-3676	92	33	(	(	PUNCT
ejpam-3676	92	34	17	17	NUM
ejpam-3676	92	35	)	)	PUNCT
ejpam-3676	92	36	2ng	2ng	NOUN
ejpam-3676	92	37	(	(	PUNCT
ejpam-3676	92	38	k	k	NOUN
ejpam-3676	92	39	)	)	PUNCT
ejpam-3676	92	40	n−1	n−1	PROPN
ejpam-3676	92	41	−	−	PROPN
ejpam-3676	92	42	2	2	NUM
ejpam-3676	92	43	n∑	n∑	NOUN
ejpam-3676	92	44	m=0	m=0	PROPN
ejpam-3676	92	45	(	(	PUNCT
ejpam-3676	92	46	n	n	NOUN
ejpam-3676	92	47	m	m	NOUN
ejpam-3676	92	48	)	)	PUNCT
ejpam-3676	92	49	gmg	gmg	NOUN
ejpam-3676	92	50	(	(	PUNCT
ejpam-3676	92	51	k	k	NOUN
ejpam-3676	92	52	)	)	PUNCT
ejpam-3676	92	53	n−m	n−m	PROPN
ejpam-3676	93	1	=	=	SYM
ejpam-3676	93	2	n∑	n∑	PROPN
ejpam-3676	93	3	m=0	m=0	PROPN
ejpam-3676	93	4	(	(	PUNCT
ejpam-3676	93	5	n	n	NOUN
ejpam-3676	93	6	m	m	PROPN
ejpam-3676	93	7	)	)	PUNCT
ejpam-3676	93	8	gm(1)g	gm(1)g	PROPN
ejpam-3676	93	9	(	(	PUNCT
ejpam-3676	93	10	k	k	NOUN
ejpam-3676	93	11	)	)	PUNCT
ejpam-3676	93	12	n−m	n−m	PROPN
ejpam-3676	93	13	,	,	PUNCT
ejpam-3676	93	14	(	(	PUNCT
ejpam-3676	93	15	18	18	NUM
ejpam-3676	93	16	)	)	PUNCT
ejpam-3676	93	17	r.	r.	PROPN
ejpam-3676	93	18	corcino	corcino	PROPN
ejpam-3676	93	19	,	,	PUNCT
ejpam-3676	93	20	m.	m.	NOUN
ejpam-3676	93	21	laurente	laurente	PROPN
ejpam-3676	93	22	,	,	PUNCT
ejpam-3676	93	23	mar	mar	PROPN
ejpam-3676	93	24	.	.	PROPN
ejpam-3676	93	25	vega	vega	PROPN
ejpam-3676	93	26	/	/	SYM
ejpam-3676	93	27	eur	eur	PROPN
ejpam-3676	93	28	.	.	PUNCT
ejpam-3676	94	1	j.	j.	PROPN
ejpam-3676	94	2	pure	pure	PROPN
ejpam-3676	94	3	appl	appl	PROPN
ejpam-3676	94	4	.	.	PROPN
ejpam-3676	94	5	math	math	PROPN
ejpam-3676	94	6	,	,	PUNCT
ejpam-3676	94	7	13	13	NUM
ejpam-3676	94	8	(	(	PUNCT
ejpam-3676	94	9	3	3	NUM
ejpam-3676	94	10	)	)	PUNCT
ejpam-3676	94	11	(	(	PUNCT
ejpam-3676	94	12	2020	2020	NUM
ejpam-3676	94	13	)	)	PUNCT
ejpam-3676	94	14	,	,	PUNCT
ejpam-3676	94	15	444	444	NUM
ejpam-3676	94	16	-	-	SYM
ejpam-3676	94	17	458	458	NUM
ejpam-3676	94	18	448	448	NUM
ejpam-3676	94	19	n∑	n∑	X
ejpam-3676	94	20	m=0	m=0	PROPN
ejpam-3676	95	1	(	(	PUNCT
ejpam-3676	95	2	n	n	NOUN
ejpam-3676	95	3	m	m	NOUN
ejpam-3676	95	4	)	)	PUNCT
ejpam-3676	95	5	b(k	b(k	PROPN
ejpam-3676	95	6	)	)	PUNCT
ejpam-3676	96	1	m	m	PROPN
ejpam-3676	96	2	(	(	PUNCT
ejpam-3676	96	3	x)b	x)b	X
ejpam-3676	96	4	(	(	PUNCT
ejpam-3676	96	5	k	k	NOUN
ejpam-3676	96	6	)	)	PUNCT
ejpam-3676	96	7	n−m(y	n−m(y	NOUN
ejpam-3676	96	8	)	)	PUNCT
ejpam-3676	97	1	=	=	SYM
ejpam-3676	98	1	n∑	n∑	NOUN
ejpam-3676	98	2	p=0	p=0	PROPN
ejpam-3676	98	3	(	(	PUNCT
ejpam-3676	98	4	n	n	CCONJ
ejpam-3676	98	5	p	p	NOUN
ejpam-3676	98	6	)	)	PUNCT
ejpam-3676	98	7	b(k	b(k	PROPN
ejpam-3676	98	8	)	)	PUNCT
ejpam-3676	99	1	p	p	NOUN
ejpam-3676	99	2	b	b	PROPN
ejpam-3676	99	3	(	(	PUNCT
ejpam-3676	99	4	k	k	NOUN
ejpam-3676	99	5	)	)	PUNCT
ejpam-3676	99	6	n−p(x+	n−p(x+	ADP
ejpam-3676	99	7	y	y	PROPN
ejpam-3676	99	8	)	)	PUNCT
ejpam-3676	99	9	,	,	PUNCT
ejpam-3676	99	10	(	(	PUNCT
ejpam-3676	99	11	19	19	NUM
ejpam-3676	99	12	)	)	PUNCT
ejpam-3676	99	13	and	and	CCONJ
ejpam-3676	99	14	g	g	PROPN
ejpam-3676	99	15	(	(	PUNCT
ejpam-3676	99	16	k	k	NOUN
ejpam-3676	99	17	)	)	PUNCT
ejpam-3676	99	18	n,2	n,2	ADJ
ejpam-3676	99	19	=	=	SYM
ejpam-3676	99	20	2n+1	2n+1	PROPN
ejpam-3676	99	21	(	(	PUNCT
ejpam-3676	99	22	b(k	b(k	PROPN
ejpam-3676	99	23	)	)	PUNCT
ejpam-3676	99	24	n	n	CCONJ
ejpam-3676	99	25	(	(	PUNCT
ejpam-3676	99	26	x+	x+	SYM
ejpam-3676	99	27	1	1	NUM
ejpam-3676	99	28	2	2	NUM
ejpam-3676	99	29	)	)	PUNCT
ejpam-3676	99	30	−b(k	−b(k	NOUN
ejpam-3676	99	31	)	)	PUNCT
ejpam-3676	99	32	n	n	CCONJ
ejpam-3676	99	33	(	(	PUNCT
ejpam-3676	99	34	x	x	NOUN
ejpam-3676	99	35	)	)	PUNCT
ejpam-3676	99	36	)	)	PUNCT
ejpam-3676	99	37	.	.	PUNCT
ejpam-3676	100	1	(	(	PUNCT
ejpam-3676	100	2	20	20	NUM
ejpam-3676	100	3	)	)	PUNCT
ejpam-3676	100	4	moreover	moreover	ADV
ejpam-3676	100	5	,	,	PUNCT
ejpam-3676	100	6	using	use	VERB
ejpam-3676	100	7	the	the	DET
ejpam-3676	100	8	generating	generate	VERB
ejpam-3676	100	9	function	function	NOUN
ejpam-3676	100	10	of	of	ADP
ejpam-3676	100	11	the	the	DET
ejpam-3676	100	12	poly	poly	ADJ
ejpam-3676	100	13	-	-	PUNCT
ejpam-3676	100	14	genocchi	genocchi	NOUN
ejpam-3676	100	15	numbers	number	NOUN
ejpam-3676	100	16	and	and	CCONJ
ejpam-3676	100	17	stirling	stirling	NOUN
ejpam-3676	100	18	numbers	number	NOUN
ejpam-3676	100	19	of	of	ADP
ejpam-3676	100	20	the	the	DET
ejpam-3676	100	21	second	second	ADJ
ejpam-3676	100	22	kind	kind	NOUN
ejpam-3676	100	23	,	,	PUNCT
ejpam-3676	100	24	we	we	PRON
ejpam-3676	100	25	have	have	VERB
ejpam-3676	100	26	∞∑	∞∑	NUM
ejpam-3676	100	27	n=0	n=0	NUM
ejpam-3676	100	28	g(k	g(k	NOUN
ejpam-3676	100	29	)	)	PUNCT
ejpam-3676	100	30	n	n	PROPN
ejpam-3676	100	31	tn	tn	NOUN
ejpam-3676	100	32	n	n	ADV
ejpam-3676	100	33	!	!	PUNCT
ejpam-3676	101	1	=	=	SYM
ejpam-3676	101	2	2	2	NUM
ejpam-3676	101	3	et	et	NOUN
ejpam-3676	101	4	+	+	NOUN
ejpam-3676	101	5	1	1	NUM
ejpam-3676	101	6	∞∑	∞∑	PROPN
ejpam-3676	101	7	m=1	m=1	X
ejpam-3676	101	8	(	(	PUNCT
ejpam-3676	101	9	−1)m(e−t	−1)m(e−t	NOUN
ejpam-3676	101	10	−	−	PROPN
ejpam-3676	102	1	1)m	1)m	NUM
ejpam-3676	102	2	mk	mk	NOUN
ejpam-3676	102	3	=	=	PUNCT
ejpam-3676	103	1	∞∑	∞∑	PROPN
ejpam-3676	103	2	m=1	m=1	X
ejpam-3676	103	3	(	(	PUNCT
ejpam-3676	103	4	−1)m	−1)m	PROPN
ejpam-3676	103	5	mk	mk	NOUN
ejpam-3676	103	6	2	2	NUM
ejpam-3676	103	7	et	et	NOUN
ejpam-3676	103	8	+	+	NOUN
ejpam-3676	103	9	1	1	NUM
ejpam-3676	103	10	m	m	NOUN
ejpam-3676	103	11	!	!	PUNCT
ejpam-3676	104	1	∞∑	∞∑	NUM
ejpam-3676	104	2	l=0	l=0	PROPN
ejpam-3676	104	3	s2(l	s2(l	PROPN
ejpam-3676	104	4	,	,	PUNCT
ejpam-3676	104	5	m)(−1)l	m)(−1)l	PROPN
ejpam-3676	104	6	tl	tl	PROPN
ejpam-3676	104	7	l	l	NOUN
ejpam-3676	104	8	!	!	PUNCT
ejpam-3676	105	1	=	=	PUNCT
ejpam-3676	106	1	∞∑	∞∑	PRON
ejpam-3676	106	2	m=1	m=1	X
ejpam-3676	106	3	(	(	PUNCT
ejpam-3676	106	4	−1)m	−1)m	PROPN
ejpam-3676	106	5	mk	mk	NOUN
ejpam-3676	106	6	∞∑	∞∑	PROPN
ejpam-3676	106	7	n=0	n=0	NUM
ejpam-3676	106	8	en	en	ADP
ejpam-3676	106	9	tn	tn	PROPN
ejpam-3676	106	10	n	n	NOUN
ejpam-3676	106	11	!	!	PUNCT
ejpam-3676	107	1	m	m	VERB
ejpam-3676	107	2	!	!	PUNCT
ejpam-3676	108	1	∞∑	∞∑	NUM
ejpam-3676	108	2	l=0	l=0	PROPN
ejpam-3676	108	3	s2(l	s2(l	PROPN
ejpam-3676	108	4	,	,	PUNCT
ejpam-3676	108	5	m)(−1)l	m)(−1)l	PROPN
ejpam-3676	108	6	tl	tl	PROPN
ejpam-3676	108	7	l	l	NOUN
ejpam-3676	108	8	!	!	PUNCT
ejpam-3676	108	9	=	=	PUNCT
ejpam-3676	109	1	∞∑	∞∑	PRON
ejpam-3676	109	2	m=1	m=1	PUNCT
ejpam-3676	109	3	∞∑	∞∑	NUM
ejpam-3676	109	4	n=0	n=0	NUM
ejpam-3676	109	5	∞∑	∞∑	NUM
ejpam-3676	109	6	l=0	l=0	PROPN
ejpam-3676	109	7	(	(	PUNCT
ejpam-3676	109	8	−1)m	−1)m	PROPN
ejpam-3676	109	9	mk	mk	PROPN
ejpam-3676	109	10	enm!s2(l	enm!s2(l	PROPN
ejpam-3676	109	11	,	,	PUNCT
ejpam-3676	109	12	m)(−1)l	m)(−1)l	PROPN
ejpam-3676	109	13	tn+l	tn+l	NOUN
ejpam-3676	109	14	n!l	n!l	PRON
ejpam-3676	109	15	!	!	PROPN
ejpam-3676	109	16	.	.	PUNCT
ejpam-3676	110	1	replacing	replace	VERB
ejpam-3676	110	2	n+	n+	ADP
ejpam-3676	110	3	l	l	NOUN
ejpam-3676	110	4	with	with	ADP
ejpam-3676	110	5	l	l	PROPN
ejpam-3676	110	6	,	,	PUNCT
ejpam-3676	110	7	we	we	PRON
ejpam-3676	110	8	get	get	VERB
ejpam-3676	110	9	∞∑	∞∑	PRON
ejpam-3676	110	10	n=0	n=0	NUM
ejpam-3676	110	11	g(k	g(k	NOUN
ejpam-3676	110	12	)	)	PUNCT
ejpam-3676	110	13	n	n	PROPN
ejpam-3676	110	14	tn	tn	NOUN
ejpam-3676	110	15	n	n	ADV
ejpam-3676	110	16	!	!	PUNCT
ejpam-3676	110	17	=	=	NOUN
ejpam-3676	111	1	∞∑	∞∑	PRON
ejpam-3676	111	2	m=1	m=1	PUNCT
ejpam-3676	111	3	∞∑	∞∑	NUM
ejpam-3676	111	4	n=0	n=0	NUM
ejpam-3676	111	5	∞∑	∞∑	NUM
ejpam-3676	111	6	l	l	NOUN
ejpam-3676	111	7	=	=	SYM
ejpam-3676	111	8	n	n	X
ejpam-3676	111	9	(	(	PUNCT
ejpam-3676	111	10	−1)m	−1)m	PROPN
ejpam-3676	111	11	mk	mk	PROPN
ejpam-3676	111	12	enm!s2(l	enm!s2(l	PROPN
ejpam-3676	111	13	−	−	PROPN
ejpam-3676	111	14	n	n	CCONJ
ejpam-3676	111	15	,	,	PUNCT
ejpam-3676	111	16	m)(−1)l−n	m)(−1)l−n	PROPN
ejpam-3676	111	17	tl	tl	PROPN
ejpam-3676	111	18	n!(l	n!(l	ADP
ejpam-3676	111	19	−	−	PROPN
ejpam-3676	111	20	n	n	CCONJ
ejpam-3676	111	21	)	)	PUNCT
ejpam-3676	111	22	!	!	PUNCT
ejpam-3676	112	1	l	l	NOUN
ejpam-3676	112	2	!	!	PUNCT
ejpam-3676	113	1	l	l	NOUN
ejpam-3676	113	2	!	!	PUNCT
ejpam-3676	114	1	=	=	NOUN
ejpam-3676	115	1	∞∑	∞∑	PRON
ejpam-3676	115	2	m=1	m=1	PUNCT
ejpam-3676	115	3	∞∑	∞∑	NUM
ejpam-3676	115	4	n=0	n=0	NUM
ejpam-3676	115	5	∞∑	∞∑	NUM
ejpam-3676	115	6	l	l	NOUN
ejpam-3676	115	7	=	=	SYM
ejpam-3676	115	8	n	n	X
ejpam-3676	115	9	(	(	PUNCT
ejpam-3676	115	10	l	l	NOUN
ejpam-3676	115	11	n	n	X
ejpam-3676	115	12	)	)	PUNCT
ejpam-3676	115	13	(	(	PUNCT
ejpam-3676	115	14	−1)m+l−n	−1)m+l−n	PROPN
ejpam-3676	115	15	mk	mk	X
ejpam-3676	115	16	enm!s2(l	enm!s2(l	PROPN
ejpam-3676	115	17	−	−	PROPN
ejpam-3676	115	18	n	n	CCONJ
ejpam-3676	115	19	,	,	PUNCT
ejpam-3676	115	20	m	m	NOUN
ejpam-3676	115	21	)	)	PUNCT
ejpam-3676	115	22	tl	tl	PROPN
ejpam-3676	115	23	l	l	NOUN
ejpam-3676	115	24	!	!	PUNCT
ejpam-3676	116	1	=	=	PUNCT
ejpam-3676	117	1	∞∑	∞∑	NUM
ejpam-3676	117	2	l=0	l=0	PROPN
ejpam-3676	117	3	{	{	PUNCT
ejpam-3676	117	4	l∑	l∑	ADP
ejpam-3676	117	5	n=0	n=0	X
ejpam-3676	118	1	∞∑	∞∑	NUM
ejpam-3676	118	2	m=1	m=1	X
ejpam-3676	118	3	(	(	PUNCT
ejpam-3676	118	4	l	l	NOUN
ejpam-3676	118	5	n	n	NOUN
ejpam-3676	118	6	)	)	PUNCT
ejpam-3676	118	7	(	(	PUNCT
ejpam-3676	118	8	−1)m+l−n	−1)m+l−n	PROPN
ejpam-3676	118	9	mk	mk	X
ejpam-3676	118	10	enm!s2(l	enm!s2(l	PROPN
ejpam-3676	118	11	−	−	PROPN
ejpam-3676	118	12	n	n	CCONJ
ejpam-3676	118	13	,	,	PUNCT
ejpam-3676	118	14	m	m	NOUN
ejpam-3676	118	15	)	)	PUNCT
ejpam-3676	118	16	}	}	PUNCT
ejpam-3676	118	17	tl	tl	PROPN
ejpam-3676	118	18	l	l	NOUN
ejpam-3676	118	19	!	!	PUNCT
ejpam-3676	119	1	=	=	PUNCT
ejpam-3676	120	1	∞∑	∞∑	PRON
ejpam-3676	120	2	n=0	n=0	PRON
ejpam-3676	120	3	{	{	PUNCT
ejpam-3676	120	4	n∑	n∑	NOUN
ejpam-3676	120	5	r=0	r=0	PROPN
ejpam-3676	120	6	∞∑	∞∑	PROPN
ejpam-3676	120	7	m=1	m=1	X
ejpam-3676	120	8	(	(	PUNCT
ejpam-3676	120	9	n	n	NOUN
ejpam-3676	120	10	r	r	NOUN
ejpam-3676	120	11	)	)	PUNCT
ejpam-3676	120	12	(	(	PUNCT
ejpam-3676	120	13	−1)m+n−r	−1)m+n−r	PROPN
ejpam-3676	120	14	mk	mk	PROPN
ejpam-3676	120	15	erm!s2(n−	erm!s2(n−	PROPN
ejpam-3676	120	16	r	r	PROPN
ejpam-3676	120	17	,	,	PUNCT
ejpam-3676	120	18	m	m	NOUN
ejpam-3676	120	19	)	)	PUNCT
ejpam-3676	120	20	}	}	PUNCT
ejpam-3676	120	21	tn	tn	PROPN
ejpam-3676	120	22	n	n	X
ejpam-3676	120	23	!	!	PUNCT
ejpam-3676	120	24	.	.	PUNCT
ejpam-3676	121	1	by	by	ADP
ejpam-3676	121	2	comparing	compare	VERB
ejpam-3676	121	3	the	the	DET
ejpam-3676	121	4	coefficient	coefficient	NOUN
ejpam-3676	121	5	of	of	ADP
ejpam-3676	121	6	tn	tn	NOUN
ejpam-3676	121	7	n	n	CCONJ
ejpam-3676	121	8	!	!	PROPN
ejpam-3676	121	9	,	,	PUNCT
ejpam-3676	121	10	we	we	PRON
ejpam-3676	121	11	obtain	obtain	VERB
ejpam-3676	121	12	g(k	g(k	NOUN
ejpam-3676	121	13	)	)	PUNCT
ejpam-3676	121	14	n	n	NOUN
ejpam-3676	121	15	=	=	SYM
ejpam-3676	121	16	n∑	n∑	NOUN
ejpam-3676	121	17	r=0	r=0	PROPN
ejpam-3676	121	18	(	(	PUNCT
ejpam-3676	121	19	n	n	NOUN
ejpam-3676	121	20	r	r	NOUN
ejpam-3676	121	21	)	)	PUNCT
ejpam-3676	121	22	{	{	PUNCT
ejpam-3676	122	1	∞∑	∞∑	PROPN
ejpam-3676	122	2	m=1	m=1	X
ejpam-3676	122	3	(	(	PUNCT
ejpam-3676	122	4	−1)m+n−r	−1)m+n−r	ADJ
ejpam-3676	122	5	mk	mk	PROPN
ejpam-3676	122	6	erm!s2(n−	erm!s2(n−	PROPN
ejpam-3676	122	7	r	r	PROPN
ejpam-3676	122	8	,	,	PUNCT
ejpam-3676	122	9	m	m	NOUN
ejpam-3676	122	10	)	)	PUNCT
ejpam-3676	122	11	}	}	PUNCT
ejpam-3676	122	12	.	.	PUNCT
ejpam-3676	123	1	(	(	PUNCT
ejpam-3676	123	2	21	21	NUM
ejpam-3676	123	3	)	)	PUNCT
ejpam-3676	123	4	the	the	DET
ejpam-3676	123	5	multi	multi	ADJ
ejpam-3676	123	6	poly	poly	ADJ
ejpam-3676	123	7	-	-	PUNCT
ejpam-3676	123	8	bernoulli	bernoulli	NOUN
ejpam-3676	123	9	numbers	number	NOUN
ejpam-3676	123	10	was	be	AUX
ejpam-3676	123	11	first	first	ADV
ejpam-3676	123	12	introduced	introduce	VERB
ejpam-3676	123	13	by	by	ADP
ejpam-3676	123	14	imatomi	imatomi	PROPN
ejpam-3676	123	15	et	et	PROPN
ejpam-3676	123	16	al	al	PROPN
ejpam-3676	123	17	.	.	PUNCT
ejpam-3676	124	1	[	[	X
ejpam-3676	124	2	9	9	NUM
ejpam-3676	124	3	]	]	PUNCT
ejpam-3676	124	4	using	use	VERB
ejpam-3676	124	5	the	the	DET
ejpam-3676	124	6	concept	concept	NOUN
ejpam-3676	124	7	of	of	ADP
ejpam-3676	124	8	multiple	multiple	ADJ
ejpam-3676	124	9	polylogarithm	polylogarithm	NOUN
ejpam-3676	124	10	also	also	ADV
ejpam-3676	124	11	known	know	VERB
ejpam-3676	124	12	as	as	ADP
ejpam-3676	124	13	multiple	multiple	ADJ
ejpam-3676	124	14	zeta	zeta	NOUN
ejpam-3676	124	15	values	value	NOUN
ejpam-3676	124	16	,	,	PUNCT
ejpam-3676	124	17	which	which	PRON
ejpam-3676	124	18	is	be	AUX
ejpam-3676	124	19	given	give	VERB
ejpam-3676	124	20	by	by	ADP
ejpam-3676	124	21	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	124	22	...	...	PUNCT
ejpam-3676	124	23	,kr)(z	,kr)(z	PUNCT
ejpam-3676	124	24	)	)	PUNCT
ejpam-3676	125	1	=	=	PUNCT
ejpam-3676	125	2	∑	∑	PUNCT
ejpam-3676	125	3	0	0	NUM
ejpam-3676	125	4	<	<	X
ejpam-3676	125	5	m1	m1	X
ejpam-3676	125	6	<	<	X
ejpam-3676	125	7	m2<	m2<	X
ejpam-3676	125	8	...	...	PUNCT
ejpam-3676	125	9	<mr	<mr	X
ejpam-3676	125	10	zmr	zmr	PROPN
ejpam-3676	125	11	mk1	mk1	VERB
ejpam-3676	125	12	1	1	NUM
ejpam-3676	125	13	m	m	PROPN
ejpam-3676	125	14	k2	k2	ADJ
ejpam-3676	125	15	2	2	NUM
ejpam-3676	125	16	.	.	PUNCT
ejpam-3676	125	17	.	.	PUNCT
ejpam-3676	126	1	.mkr	.mkr	PUNCT
ejpam-3676	127	1	r	r	NOUN
ejpam-3676	127	2	.	.	PUNCT
ejpam-3676	128	1	(	(	PUNCT
ejpam-3676	128	2	22	22	NUM
ejpam-3676	128	3	)	)	PUNCT
ejpam-3676	128	4	r.	r.	PROPN
ejpam-3676	128	5	corcino	corcino	PROPN
ejpam-3676	128	6	,	,	PUNCT
ejpam-3676	128	7	m.	m.	NOUN
ejpam-3676	128	8	laurente	laurente	PROPN
ejpam-3676	128	9	,	,	PUNCT
ejpam-3676	128	10	mar	mar	PROPN
ejpam-3676	128	11	.	.	PROPN
ejpam-3676	128	12	vega	vega	PROPN
ejpam-3676	128	13	/	/	SYM
ejpam-3676	128	14	eur	eur	PROPN
ejpam-3676	128	15	.	.	PUNCT
ejpam-3676	129	1	j.	j.	PROPN
ejpam-3676	129	2	pure	pure	PROPN
ejpam-3676	129	3	appl	appl	PROPN
ejpam-3676	129	4	.	.	PROPN
ejpam-3676	129	5	math	math	PROPN
ejpam-3676	129	6	,	,	PUNCT
ejpam-3676	129	7	13	13	NUM
ejpam-3676	129	8	(	(	PUNCT
ejpam-3676	129	9	3	3	NUM
ejpam-3676	129	10	)	)	PUNCT
ejpam-3676	129	11	(	(	PUNCT
ejpam-3676	129	12	2020	2020	NUM
ejpam-3676	129	13	)	)	PUNCT
ejpam-3676	129	14	,	,	PUNCT
ejpam-3676	129	15	444	444	NUM
ejpam-3676	129	16	-	-	SYM
ejpam-3676	129	17	458	458	NUM
ejpam-3676	129	18	449	449	NUM
ejpam-3676	129	19	when	when	SCONJ
ejpam-3676	129	20	r	r	NOUN
ejpam-3676	129	21	=	=	SYM
ejpam-3676	129	22	1	1	NUM
ejpam-3676	129	23	,	,	PUNCT
ejpam-3676	129	24	(	(	PUNCT
ejpam-3676	129	25	22	22	NUM
ejpam-3676	129	26	)	)	PUNCT
ejpam-3676	129	27	yields	yield	NOUN
ejpam-3676	129	28	lik1(z	lik1(z	NOUN
ejpam-3676	129	29	)	)	PUNCT
ejpam-3676	129	30	=	=	SYM
ejpam-3676	129	31	∑	∑	PUNCT
ejpam-3676	129	32	m1>0	m1>0	NOUN
ejpam-3676	129	33	zm1	zm1	PROPN
ejpam-3676	129	34	mk1	mk1	VERB
ejpam-3676	129	35	1	1	NUM
ejpam-3676	129	36	,	,	PUNCT
ejpam-3676	129	37	which	which	PRON
ejpam-3676	129	38	is	be	AUX
ejpam-3676	129	39	exactly	exactly	ADV
ejpam-3676	129	40	(	(	PUNCT
ejpam-3676	129	41	9	9	NUM
ejpam-3676	129	42	)	)	PUNCT
ejpam-3676	129	43	.	.	PUNCT
ejpam-3676	130	1	the	the	DET
ejpam-3676	130	2	multi	multi	ADJ
ejpam-3676	130	3	poly	poly	ADJ
ejpam-3676	130	4	-	-	PUNCT
ejpam-3676	130	5	bernoulli	bernoulli	NOUN
ejpam-3676	130	6	numbers	number	NOUN
ejpam-3676	130	7	defined	define	VERB
ejpam-3676	130	8	by	by	ADP
ejpam-3676	130	9	imatomi	imatomi	PROPN
ejpam-3676	130	10	et	et	PROPN
ejpam-3676	130	11	al	al	PROPN
ejpam-3676	130	12	.	.	PUNCT
ejpam-3676	131	1	[	[	X
ejpam-3676	131	2	9	9	NUM
ejpam-3676	131	3	]	]	PUNCT
ejpam-3676	131	4	is	be	AUX
ejpam-3676	131	5	given	give	VERB
ejpam-3676	131	6	by	by	ADP
ejpam-3676	131	7	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	131	8	...	...	PUNCT
ejpam-3676	131	9	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	131	10	e−t	e−t	NOUN
ejpam-3676	131	11	)	)	PUNCT
ejpam-3676	131	12	1−	1−	NUM
ejpam-3676	131	13	e−t	e−t	NOUN
ejpam-3676	131	14	=	=	NOUN
ejpam-3676	132	1	∞∑	∞∑	PRON
ejpam-3676	132	2	n=0	n=0	NUM
ejpam-3676	132	3	b(k1,k2,	b(k1,k2,	NOUN
ejpam-3676	132	4	...	...	PUNCT
ejpam-3676	132	5	,kr	,kr	NOUN
ejpam-3676	132	6	)	)	PUNCT
ejpam-3676	132	7	n	n	PROPN
ejpam-3676	132	8	tn	tn	PROPN
ejpam-3676	132	9	n	n	X
ejpam-3676	132	10	!	!	PUNCT
ejpam-3676	132	11	.	.	PUNCT
ejpam-3676	133	1	these	these	DET
ejpam-3676	133	2	numbers	number	NOUN
ejpam-3676	133	3	possess	possess	VERB
ejpam-3676	133	4	the	the	DET
ejpam-3676	133	5	following	follow	VERB
ejpam-3676	133	6	recurrence	recurrence	NOUN
ejpam-3676	133	7	relation	relation	NOUN
ejpam-3676	133	8	and	and	CCONJ
ejpam-3676	133	9	explicit	explicit	ADJ
ejpam-3676	133	10	formula	formula	NOUN
ejpam-3676	133	11	b(k1,k2,	b(k1,k2,	NOUN
ejpam-3676	133	12	...	...	PUNCT
ejpam-3676	133	13	,kr	,kr	SYM
ejpam-3676	133	14	)	)	PUNCT
ejpam-3676	133	15	n	n	NOUN
ejpam-3676	133	16	=	=	SYM
ejpam-3676	133	17	1	1	NUM
ejpam-3676	133	18	n+	n+	SYM
ejpam-3676	133	19	1	1	NUM
ejpam-3676	133	20	(	(	PUNCT
ejpam-3676	133	21	b(k1−1,k2,	b(k1−1,k2,	NOUN
ejpam-3676	133	22	...	...	NOUN
ejpam-3676	133	23	,kr	,kr	X
ejpam-3676	133	24	)	)	PUNCT
ejpam-3676	134	1	n	n	CCONJ
ejpam-3676	134	2	−	−	PROPN
ejpam-3676	134	3	n−1∑	n−1∑	PROPN
ejpam-3676	134	4	m=1	m=1	X
ejpam-3676	134	5	(	(	PUNCT
ejpam-3676	134	6	n	n	CCONJ
ejpam-3676	134	7	m−	m−	PROPN
ejpam-3676	134	8	1	1	NUM
ejpam-3676	134	9	)	)	PUNCT
ejpam-3676	134	10	b(k1,k2,	b(k1,k2,	NOUN
ejpam-3676	134	11	...	...	PUNCT
ejpam-3676	134	12	,kr	,kr	SYM
ejpam-3676	134	13	)	)	PUNCT
ejpam-3676	134	14	m	m	VERB
ejpam-3676	134	15	)	)	PUNCT
ejpam-3676	134	16	b(k1,k2,	b(k1,k2,	NOUN
ejpam-3676	134	17	...	...	PUNCT
ejpam-3676	134	18	,kr	,kr	SYM
ejpam-3676	134	19	)	)	PUNCT
ejpam-3676	134	20	n	n	NOUN
ejpam-3676	134	21	=	=	PUNCT
ejpam-3676	134	22	(	(	PUNCT
ejpam-3676	134	23	−1)n	−1)n	X
ejpam-3676	134	24	∑	∑	PUNCT
ejpam-3676	134	25	n+1≥m1	n+1≥m1	NOUN
ejpam-3676	134	26	>	>	X
ejpam-3676	134	27	m2>	m2>	X
ejpam-3676	134	28	...	...	PUNCT
ejpam-3676	134	29	>mr>0	>mr>0	PUNCT
ejpam-3676	134	30	(	(	PUNCT
ejpam-3676	134	31	−1)m1−1(m1	−1)m1−1(m1	NOUN
ejpam-3676	134	32	−	−	PROPN
ejpam-3676	134	33	1)!s(n	1)!s(n	PROPN
ejpam-3676	134	34	,	,	PUNCT
ejpam-3676	134	35	m1	m1	PROPN
ejpam-3676	134	36	−	−	PROPN
ejpam-3676	134	37	1	1	X
ejpam-3676	134	38	)	)	PUNCT
ejpam-3676	134	39	mk1	mk1	NOUN
ejpam-3676	134	40	1	1	NUM
ejpam-3676	134	41	m	m	NOUN
ejpam-3676	134	42	k2	k2	ADJ
ejpam-3676	134	43	2	2	NUM
ejpam-3676	134	44	...	...	PUNCT
ejpam-3676	134	45	m	m	VERB
ejpam-3676	134	46	kr	kr	PROPN
ejpam-3676	134	47	r	r	NOUN
ejpam-3676	134	48	.	.	PUNCT
ejpam-3676	135	1	parallel	parallel	ADJ
ejpam-3676	135	2	to	to	ADP
ejpam-3676	135	3	the	the	DET
ejpam-3676	135	4	above	above	ADJ
ejpam-3676	135	5	generalization	generalization	NOUN
ejpam-3676	135	6	is	be	AUX
ejpam-3676	135	7	the	the	DET
ejpam-3676	135	8	generalized	generalize	VERB
ejpam-3676	135	9	multi	multi	ADJ
ejpam-3676	135	10	poly	poly	ADJ
ejpam-3676	135	11	-	-	PUNCT
ejpam-3676	135	12	bernoulli	bernoulli	NOUN
ejpam-3676	135	13	polynomials	polynomial	NOUN
ejpam-3676	135	14	which	which	PRON
ejpam-3676	135	15	are	be	AUX
ejpam-3676	135	16	denoted	denote	VERB
ejpam-3676	135	17	by	by	ADP
ejpam-3676	135	18	b	b	PROPN
ejpam-3676	135	19	(	(	PUNCT
ejpam-3676	135	20	k1,k2,	k1,k2,	PROPN
ejpam-3676	135	21	...	...	PUNCT
ejpam-3676	135	22	,kr	,kr	SYM
ejpam-3676	135	23	)	)	PUNCT
ejpam-3676	136	1	n	n	CCONJ
ejpam-3676	136	2	(	(	PUNCT
ejpam-3676	136	3	x	x	X
ejpam-3676	136	4	;	;	PUNCT
ejpam-3676	136	5	a	a	DET
ejpam-3676	136	6	,	,	PUNCT
ejpam-3676	136	7	b	b	NOUN
ejpam-3676	136	8	,	,	PUNCT
ejpam-3676	136	9	c	c	NOUN
ejpam-3676	136	10	)	)	PUNCT
ejpam-3676	136	11	.	.	PUNCT
ejpam-3676	137	1	these	these	DET
ejpam-3676	137	2	polynomials	polynomial	NOUN
ejpam-3676	137	3	have	have	AUX
ejpam-3676	137	4	been	be	AUX
ejpam-3676	137	5	introduced	introduce	VERB
ejpam-3676	137	6	in	in	ADP
ejpam-3676	137	7	[	[	X
ejpam-3676	137	8	18	18	NUM
ejpam-3676	137	9	]	]	PUNCT
ejpam-3676	137	10	by	by	ADP
ejpam-3676	137	11	means	mean	NOUN
ejpam-3676	137	12	of	of	ADP
ejpam-3676	137	13	the	the	DET
ejpam-3676	137	14	above	above	ADJ
ejpam-3676	137	15	multiple	multiple	ADJ
ejpam-3676	137	16	poly	poly	ADJ
ejpam-3676	137	17	-	-	PUNCT
ejpam-3676	137	18	logarithm	logarithm	NOUN
ejpam-3676	137	19	.	.	PUNCT
ejpam-3676	138	1	more	more	ADV
ejpam-3676	138	2	precisely	precisely	ADV
ejpam-3676	138	3	,	,	PUNCT
ejpam-3676	138	4	we	we	PRON
ejpam-3676	138	5	have	have	VERB
ejpam-3676	138	6	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	138	7	...	...	PUNCT
ejpam-3676	138	8	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	138	9	(	(	PUNCT
ejpam-3676	138	10	ab)−t	ab)−t	PROPN
ejpam-3676	138	11	)	)	PUNCT
ejpam-3676	138	12	(	(	PUNCT
ejpam-3676	138	13	a−t	a−t	X
ejpam-3676	138	14	−	−	NOUN
ejpam-3676	138	15	bt)r	bt)r	PROPN
ejpam-3676	138	16	crxt	crxt	NOUN
ejpam-3676	138	17	=	=	X
ejpam-3676	139	1	∞∑	∞∑	CCONJ
ejpam-3676	139	2	n=0	n=0	NUM
ejpam-3676	139	3	b(k1,k2,	b(k1,k2,	NOUN
ejpam-3676	139	4	...	...	PUNCT
ejpam-3676	139	5	,kr	,kr	SYM
ejpam-3676	139	6	)	)	PUNCT
ejpam-3676	140	1	n	n	CCONJ
ejpam-3676	140	2	(	(	PUNCT
ejpam-3676	140	3	x	x	X
ejpam-3676	140	4	;	;	PUNCT
ejpam-3676	140	5	a	a	DET
ejpam-3676	140	6	,	,	PUNCT
ejpam-3676	140	7	b	b	NOUN
ejpam-3676	140	8	,	,	PUNCT
ejpam-3676	140	9	c	c	NOUN
ejpam-3676	140	10	)	)	PUNCT
ejpam-3676	140	11	tn	tn	PROPN
ejpam-3676	140	12	n	n	NUM
ejpam-3676	140	13	!	!	PUNCT
ejpam-3676	140	14	.	.	PUNCT
ejpam-3676	141	1	(	(	PUNCT
ejpam-3676	141	2	23	23	NUM
ejpam-3676	141	3	)	)	PUNCT
ejpam-3676	141	4	when	when	SCONJ
ejpam-3676	141	5	r	r	NOUN
ejpam-3676	141	6	=	=	SYM
ejpam-3676	141	7	1	1	NUM
ejpam-3676	141	8	,	,	PUNCT
ejpam-3676	141	9	(	(	PUNCT
ejpam-3676	141	10	23	23	NUM
ejpam-3676	141	11	)	)	PUNCT
ejpam-3676	141	12	boils	boil	VERB
ejpam-3676	141	13	down	down	ADP
ejpam-3676	141	14	to	to	ADP
ejpam-3676	141	15	the	the	DET
ejpam-3676	141	16	generalized	generalize	VERB
ejpam-3676	141	17	poly	poly	ADJ
ejpam-3676	141	18	-	-	PUNCT
ejpam-3676	141	19	bernoulli	bernoulli	NOUN
ejpam-3676	141	20	polynomials	polynomial	NOUN
ejpam-3676	141	21	with	with	ADP
ejpam-3676	141	22	three	three	NUM
ejpam-3676	141	23	parameters	parameter	NOUN
ejpam-3676	141	24	a	a	DET
ejpam-3676	141	25	,	,	PUNCT
ejpam-3676	141	26	b	b	NOUN
ejpam-3676	141	27	,	,	PUNCT
ejpam-3676	141	28	c.	c.	PROPN
ejpam-3676	141	29	moreover	moreover	ADV
ejpam-3676	141	30	,	,	PUNCT
ejpam-3676	141	31	when	when	SCONJ
ejpam-3676	141	32	c	c	NOUN
ejpam-3676	141	33	=	=	SYM
ejpam-3676	141	34	e	e	NOUN
ejpam-3676	141	35	,	,	PUNCT
ejpam-3676	141	36	(	(	PUNCT
ejpam-3676	141	37	23	23	NUM
ejpam-3676	141	38	)	)	PUNCT
ejpam-3676	141	39	reduces	reduce	VERB
ejpam-3676	141	40	to	to	ADP
ejpam-3676	141	41	the	the	DET
ejpam-3676	141	42	multi	multi	ADJ
ejpam-3676	141	43	poly	poly	ADJ
ejpam-3676	141	44	-	-	PUNCT
ejpam-3676	141	45	bernoulli	bernoulli	NOUN
ejpam-3676	141	46	polynomials	polynomial	NOUN
ejpam-3676	141	47	with	with	ADP
ejpam-3676	141	48	two	two	NUM
ejpam-3676	141	49	parameters	parameter	NOUN
ejpam-3676	141	50	a	a	PRON
ejpam-3676	141	51	,	,	PUNCT
ejpam-3676	141	52	b.	b.	NOUN
ejpam-3676	142	1	these	these	DET
ejpam-3676	142	2	special	special	ADJ
ejpam-3676	142	3	cases	case	NOUN
ejpam-3676	142	4	have	have	AUX
ejpam-3676	142	5	been	be	AUX
ejpam-3676	142	6	discussed	discuss	VERB
ejpam-3676	142	7	intensively	intensively	ADV
ejpam-3676	142	8	in	in	ADP
ejpam-3676	142	9	[	[	X
ejpam-3676	142	10	18	18	NUM
ejpam-3676	142	11	]	]	PUNCT
ejpam-3676	142	12	.	.	PUNCT
ejpam-3676	143	1	on	on	ADP
ejpam-3676	143	2	the	the	DET
ejpam-3676	143	3	other	other	ADJ
ejpam-3676	143	4	hand	hand	NOUN
ejpam-3676	143	5	,	,	PUNCT
ejpam-3676	143	6	the	the	DET
ejpam-3676	143	7	generalized	generalize	VERB
ejpam-3676	143	8	multi	multi	ADJ
ejpam-3676	143	9	poly	poly	ADJ
ejpam-3676	143	10	-	-	PUNCT
ejpam-3676	143	11	euler	euler	NOUN
ejpam-3676	143	12	polynomials	polynomial	NOUN
ejpam-3676	143	13	were	be	AUX
ejpam-3676	143	14	also	also	ADV
ejpam-3676	143	15	defined	define	VERB
ejpam-3676	143	16	in	in	ADP
ejpam-3676	143	17	[	[	X
ejpam-3676	143	18	17	17	NUM
ejpam-3676	143	19	]	]	PUNCT
ejpam-3676	143	20	by	by	ADP
ejpam-3676	143	21	means	mean	NOUN
ejpam-3676	143	22	of	of	ADP
ejpam-3676	143	23	multiple	multiple	ADJ
ejpam-3676	143	24	poly	poly	ADJ
ejpam-3676	143	25	-	-	PUNCT
ejpam-3676	143	26	logarithm	logarithm	NOUN
ejpam-3676	143	27	.	.	PUNCT
ejpam-3676	144	1	this	this	DET
ejpam-3676	144	2	paper	paper	NOUN
ejpam-3676	144	3	intends	intend	VERB
ejpam-3676	144	4	to	to	PART
ejpam-3676	144	5	investigate	investigate	VERB
ejpam-3676	144	6	multi	multi	ADJ
ejpam-3676	144	7	poly	poly	ADJ
ejpam-3676	144	8	-	-	PUNCT
ejpam-3676	144	9	genocchi	genocchi	NOUN
ejpam-3676	144	10	polynomials	polynomial	NOUN
ejpam-3676	144	11	with	with	ADP
ejpam-3676	144	12	parameters	parameter	NOUN
ejpam-3676	144	13	a	a	DET
ejpam-3676	144	14	,	,	PUNCT
ejpam-3676	144	15	b	b	PROPN
ejpam-3676	144	16	and	and	CCONJ
ejpam-3676	144	17	c.	c.	PROPN
ejpam-3676	144	18	2	2	NUM
ejpam-3676	144	19	.	.	PUNCT
ejpam-3676	144	20	multi	multi	ADJ
ejpam-3676	144	21	poly	poly	ADJ
ejpam-3676	144	22	-	-	PUNCT
ejpam-3676	144	23	genocchi	genocchi	NOUN
ejpam-3676	144	24	polynomials	polynomial	NOUN
ejpam-3676	144	25	with	with	ADP
ejpam-3676	144	26	parameters	parameter	NOUN
ejpam-3676	144	27	a	a	DET
ejpam-3676	144	28	,	,	PUNCT
ejpam-3676	144	29	b	b	PROPN
ejpam-3676	144	30	and	and	CCONJ
ejpam-3676	144	31	c	c	PROPN
ejpam-3676	144	32	in	in	ADP
ejpam-3676	144	33	this	this	DET
ejpam-3676	144	34	section	section	NOUN
ejpam-3676	144	35	,	,	PUNCT
ejpam-3676	144	36	using	use	VERB
ejpam-3676	144	37	the	the	DET
ejpam-3676	144	38	concept	concept	NOUN
ejpam-3676	144	39	of	of	ADP
ejpam-3676	144	40	multiple	multiple	ADJ
ejpam-3676	144	41	polylogarithm	polylogarithm	NOUN
ejpam-3676	144	42	,	,	PUNCT
ejpam-3676	144	43	we	we	PRON
ejpam-3676	144	44	introduce	introduce	VERB
ejpam-3676	144	45	the	the	DET
ejpam-3676	144	46	multi	multi	ADJ
ejpam-3676	144	47	poly	poly	ADJ
ejpam-3676	144	48	-	-	PUNCT
ejpam-3676	144	49	genocchi	genocchi	NOUN
ejpam-3676	144	50	polynomials	polynomial	NOUN
ejpam-3676	144	51	with	with	ADP
ejpam-3676	144	52	parameters	parameter	NOUN
ejpam-3676	144	53	a	a	DET
ejpam-3676	144	54	,	,	PUNCT
ejpam-3676	144	55	b	b	PROPN
ejpam-3676	144	56	and	and	CCONJ
ejpam-3676	144	57	c.	c.	NOUN
ejpam-3676	144	58	some	some	DET
ejpam-3676	144	59	properties	property	NOUN
ejpam-3676	144	60	of	of	ADP
ejpam-3676	144	61	these	these	DET
ejpam-3676	144	62	polynomials	polynomial	NOUN
ejpam-3676	144	63	are	be	AUX
ejpam-3676	144	64	established	establish	VERB
ejpam-3676	144	65	parallel	parallel	NOUN
ejpam-3676	144	66	to	to	ADP
ejpam-3676	144	67	those	those	PRON
ejpam-3676	144	68	of	of	ADP
ejpam-3676	144	69	the	the	DET
ejpam-3676	144	70	poly	poly	ADJ
ejpam-3676	144	71	-	-	PUNCT
ejpam-3676	144	72	genocchi	genocchi	NOUN
ejpam-3676	144	73	polynomials	polynomial	NOUN
ejpam-3676	144	74	with	with	ADP
ejpam-3676	144	75	parameters	parameter	NOUN
ejpam-3676	144	76	a	a	PRON
ejpam-3676	144	77	,	,	PUNCT
ejpam-3676	144	78	b	b	PROPN
ejpam-3676	144	79	and	and	CCONJ
ejpam-3676	144	80	c.	c.	PROPN
ejpam-3676	144	81	definition	definition	NOUN
ejpam-3676	144	82	2.1	2.1	NUM
ejpam-3676	144	83	.	.	PUNCT
ejpam-3676	145	1	the	the	DET
ejpam-3676	145	2	multi	multi	ADJ
ejpam-3676	145	3	poly	poly	ADJ
ejpam-3676	145	4	-	-	PUNCT
ejpam-3676	145	5	genocchi	genocchi	NOUN
ejpam-3676	145	6	polynomials	polynomial	NOUN
ejpam-3676	145	7	with	with	ADP
ejpam-3676	145	8	parameters	parameter	NOUN
ejpam-3676	145	9	a	a	DET
ejpam-3676	145	10	,	,	PUNCT
ejpam-3676	145	11	b	b	PROPN
ejpam-3676	145	12	and	and	CCONJ
ejpam-3676	145	13	c	c	PROPN
ejpam-3676	145	14	are	be	AUX
ejpam-3676	145	15	defined	define	VERB
ejpam-3676	145	16	by	by	ADP
ejpam-3676	145	17	∞∑	∞∑	NUM
ejpam-3676	145	18	n=0	n=0	PROPN
ejpam-3676	145	19	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	145	20	...	...	PUNCT
ejpam-3676	145	21	,kr)n	,kr)n	PUNCT
ejpam-3676	145	22	(	(	PUNCT
ejpam-3676	145	23	x	x	NOUN
ejpam-3676	145	24	;	;	PUNCT
ejpam-3676	145	25	a	a	DET
ejpam-3676	145	26	,	,	PUNCT
ejpam-3676	145	27	b	b	NOUN
ejpam-3676	145	28	,	,	PUNCT
ejpam-3676	145	29	c	c	NOUN
ejpam-3676	145	30	)	)	PUNCT
ejpam-3676	145	31	tn	tn	PROPN
ejpam-3676	145	32	n	n	NOUN
ejpam-3676	145	33	!	!	PUNCT
ejpam-3676	146	1	=	=	PUNCT
ejpam-3676	146	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	146	3	...	...	PUNCT
ejpam-3676	146	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	146	5	(	(	PUNCT
ejpam-3676	146	6	ab)−2	ab)−2	NOUN
ejpam-3676	146	7	t	t	NOUN
ejpam-3676	146	8	)	)	PUNCT
ejpam-3676	146	9	(	(	PUNCT
ejpam-3676	146	10	a−t	a−t	NOUN
ejpam-3676	146	11	+	+	CCONJ
ejpam-3676	146	12	bt)r	bt)r	PROPN
ejpam-3676	146	13	crxt	crxt	PROPN
ejpam-3676	146	14	(	(	PUNCT
ejpam-3676	146	15	24	24	NUM
ejpam-3676	146	16	)	)	PUNCT
ejpam-3676	146	17	r.	r.	PROPN
ejpam-3676	146	18	corcino	corcino	PROPN
ejpam-3676	146	19	,	,	PUNCT
ejpam-3676	146	20	m.	m.	NOUN
ejpam-3676	146	21	laurente	laurente	PROPN
ejpam-3676	146	22	,	,	PUNCT
ejpam-3676	146	23	mar	mar	PROPN
ejpam-3676	146	24	.	.	PROPN
ejpam-3676	146	25	vega	vega	PROPN
ejpam-3676	146	26	/	/	SYM
ejpam-3676	146	27	eur	eur	PROPN
ejpam-3676	146	28	.	.	PUNCT
ejpam-3676	147	1	j.	j.	PROPN
ejpam-3676	147	2	pure	pure	PROPN
ejpam-3676	147	3	appl	appl	PROPN
ejpam-3676	147	4	.	.	PROPN
ejpam-3676	147	5	math	math	PROPN
ejpam-3676	147	6	,	,	PUNCT
ejpam-3676	147	7	13	13	NUM
ejpam-3676	147	8	(	(	PUNCT
ejpam-3676	147	9	3	3	NUM
ejpam-3676	147	10	)	)	PUNCT
ejpam-3676	147	11	(	(	PUNCT
ejpam-3676	147	12	2020	2020	NUM
ejpam-3676	147	13	)	)	PUNCT
ejpam-3676	147	14	,	,	PUNCT
ejpam-3676	147	15	444	444	NUM
ejpam-3676	147	16	-	-	SYM
ejpam-3676	147	17	458	458	NUM
ejpam-3676	147	18	450	450	NUM
ejpam-3676	147	19	when	when	SCONJ
ejpam-3676	147	20	c	c	NOUN
ejpam-3676	147	21	=	=	SYM
ejpam-3676	147	22	e	e	NOUN
ejpam-3676	147	23	,	,	PUNCT
ejpam-3676	147	24	equation	equation	NOUN
ejpam-3676	147	25	(	(	PUNCT
ejpam-3676	147	26	24	24	NUM
ejpam-3676	147	27	)	)	PUNCT
ejpam-3676	147	28	reduces	reduce	VERB
ejpam-3676	147	29	to	to	ADP
ejpam-3676	147	30	∞∑	∞∑	NUM
ejpam-3676	147	31	n=0	n=0	X
ejpam-3676	147	32	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	147	33	...	...	PUNCT
ejpam-3676	147	34	,kr)n	,kr)n	PUNCT
ejpam-3676	147	35	(	(	PUNCT
ejpam-3676	147	36	x	x	NOUN
ejpam-3676	147	37	;	;	PUNCT
ejpam-3676	147	38	a	a	DET
ejpam-3676	147	39	,	,	PUNCT
ejpam-3676	147	40	b	b	NOUN
ejpam-3676	147	41	,	,	PUNCT
ejpam-3676	147	42	e	e	NOUN
ejpam-3676	147	43	)	)	PUNCT
ejpam-3676	147	44	tn	tn	PROPN
ejpam-3676	147	45	n	n	NOUN
ejpam-3676	147	46	!	!	PUNCT
ejpam-3676	148	1	=	=	PUNCT
ejpam-3676	148	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	148	3	...	...	PUNCT
ejpam-3676	148	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	148	5	(	(	PUNCT
ejpam-3676	148	6	ab)−2	ab)−2	NOUN
ejpam-3676	148	7	t	t	NOUN
ejpam-3676	148	8	)	)	PUNCT
ejpam-3676	148	9	(	(	PUNCT
ejpam-3676	148	10	a−t	a−t	NOUN
ejpam-3676	148	11	+	+	CCONJ
ejpam-3676	148	12	bt)r	bt)r	PROPN
ejpam-3676	148	13	erxt	erxt	X
ejpam-3676	148	14	.	.	PUNCT
ejpam-3676	149	1	for	for	ADP
ejpam-3676	149	2	convenience	convenience	NOUN
ejpam-3676	149	3	,	,	PUNCT
ejpam-3676	149	4	we	we	PRON
ejpam-3676	149	5	use	use	VERB
ejpam-3676	149	6	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	149	7	...	...	PUNCT
ejpam-3676	149	8	,kr)n	,kr)n	PUNCT
ejpam-3676	149	9	(	(	PUNCT
ejpam-3676	149	10	x	x	NOUN
ejpam-3676	149	11	;	;	PUNCT
ejpam-3676	149	12	a	a	DET
ejpam-3676	149	13	,	,	PUNCT
ejpam-3676	149	14	b	b	NOUN
ejpam-3676	149	15	)	)	PUNCT
ejpam-3676	149	16	to	to	PART
ejpam-3676	149	17	denote	denote	VERB
ejpam-3676	149	18	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	149	19	...	...	PUNCT
ejpam-3676	149	20	,kr)n	,kr)n	PUNCT
ejpam-3676	149	21	(	(	PUNCT
ejpam-3676	149	22	x	x	NOUN
ejpam-3676	149	23	;	;	PUNCT
ejpam-3676	149	24	a	a	DET
ejpam-3676	149	25	,	,	PUNCT
ejpam-3676	149	26	b	b	NOUN
ejpam-3676	149	27	,	,	PUNCT
ejpam-3676	149	28	e	e	NOUN
ejpam-3676	149	29	)	)	PUNCT
ejpam-3676	149	30	.	.	PUNCT
ejpam-3676	150	1	that	that	PRON
ejpam-3676	150	2	is	be	AUX
ejpam-3676	150	3	,	,	PUNCT
ejpam-3676	150	4	∞∑	∞∑	PROPN
ejpam-3676	150	5	n=0	n=0	X
ejpam-3676	150	6	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	150	7	...	...	PUNCT
ejpam-3676	150	8	,kr)n	,kr)n	PUNCT
ejpam-3676	150	9	(	(	PUNCT
ejpam-3676	150	10	x	x	NOUN
ejpam-3676	150	11	;	;	PUNCT
ejpam-3676	150	12	a	a	DET
ejpam-3676	150	13	,	,	PUNCT
ejpam-3676	150	14	b	b	NOUN
ejpam-3676	150	15	)	)	PUNCT
ejpam-3676	150	16	tn	tn	NOUN
ejpam-3676	150	17	n	n	NOUN
ejpam-3676	150	18	!	!	PUNCT
ejpam-3676	151	1	=	=	PUNCT
ejpam-3676	151	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	151	3	...	...	PUNCT
ejpam-3676	151	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	151	5	(	(	PUNCT
ejpam-3676	151	6	ab)−2	ab)−2	NOUN
ejpam-3676	151	7	t	t	NOUN
ejpam-3676	151	8	)	)	PUNCT
ejpam-3676	151	9	(	(	PUNCT
ejpam-3676	151	10	a−t	a−t	NOUN
ejpam-3676	151	11	+	+	CCONJ
ejpam-3676	151	12	bt)r	bt)r	PROPN
ejpam-3676	151	13	erxt	erxt	X
ejpam-3676	151	14	.	.	PUNCT
ejpam-3676	152	1	(	(	PUNCT
ejpam-3676	152	2	25	25	NUM
ejpam-3676	152	3	)	)	PUNCT
ejpam-3676	152	4	furthermore	furthermore	ADV
ejpam-3676	152	5	,	,	PUNCT
ejpam-3676	152	6	if	if	SCONJ
ejpam-3676	152	7	we	we	PRON
ejpam-3676	152	8	put	put	VERB
ejpam-3676	152	9	a	a	DET
ejpam-3676	152	10	=	=	NOUN
ejpam-3676	152	11	1	1	NUM
ejpam-3676	152	12	,	,	PUNCT
ejpam-3676	152	13	b	b	NOUN
ejpam-3676	152	14	=	=	SYM
ejpam-3676	152	15	e	e	X
ejpam-3676	152	16	in	in	ADP
ejpam-3676	152	17	(	(	PUNCT
ejpam-3676	152	18	25	25	NUM
ejpam-3676	152	19	)	)	PUNCT
ejpam-3676	152	20	,	,	PUNCT
ejpam-3676	152	21	then	then	ADV
ejpam-3676	152	22	this	this	PRON
ejpam-3676	152	23	will	will	AUX
ejpam-3676	152	24	reduce	reduce	VERB
ejpam-3676	152	25	to	to	ADP
ejpam-3676	152	26	∞∑	∞∑	NUM
ejpam-3676	152	27	n=0	n=0	X
ejpam-3676	152	28	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	152	29	...	...	PUNCT
ejpam-3676	152	30	,kr)n	,kr)n	PUNCT
ejpam-3676	152	31	(	(	PUNCT
ejpam-3676	152	32	x	x	NOUN
ejpam-3676	152	33	;	;	PUNCT
ejpam-3676	152	34	1	1	NUM
ejpam-3676	152	35	,	,	PUNCT
ejpam-3676	152	36	e	e	NOUN
ejpam-3676	152	37	)	)	PUNCT
ejpam-3676	152	38	tn	tn	PROPN
ejpam-3676	152	39	n	n	NOUN
ejpam-3676	152	40	!	!	PUNCT
ejpam-3676	153	1	=	=	PUNCT
ejpam-3676	153	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	153	3	...	...	PUNCT
ejpam-3676	153	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	153	5	e−2	e−2	PROPN
ejpam-3676	153	6	t	t	PROPN
ejpam-3676	153	7	)	)	PUNCT
ejpam-3676	153	8	(	(	PUNCT
ejpam-3676	153	9	1	1	NUM
ejpam-3676	153	10	+	+	CCONJ
ejpam-3676	153	11	et)r	et)r	PROPN
ejpam-3676	153	12	erxt	erxt	X
ejpam-3676	153	13	.	.	PUNCT
ejpam-3676	154	1	we	we	PRON
ejpam-3676	154	2	use	use	VERB
ejpam-3676	154	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	154	4	...	...	PUNCT
ejpam-3676	154	5	,kr)n	,kr)n	PUNCT
ejpam-3676	154	6	(	(	PUNCT
ejpam-3676	154	7	x	x	X
ejpam-3676	154	8	)	)	PUNCT
ejpam-3676	154	9	to	to	PART
ejpam-3676	154	10	denote	denote	VERB
ejpam-3676	154	11	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	154	12	...	...	PUNCT
ejpam-3676	154	13	,kr)n	,kr)n	PUNCT
ejpam-3676	154	14	(	(	PUNCT
ejpam-3676	154	15	x	x	NOUN
ejpam-3676	154	16	;	;	PUNCT
ejpam-3676	154	17	1	1	NUM
ejpam-3676	154	18	,	,	PUNCT
ejpam-3676	154	19	e	e	NOUN
ejpam-3676	154	20	)	)	PUNCT
ejpam-3676	154	21	.	.	PUNCT
ejpam-3676	155	1	that	that	PRON
ejpam-3676	155	2	is	be	AUX
ejpam-3676	155	3	,	,	PUNCT
ejpam-3676	155	4	∞∑	∞∑	PROPN
ejpam-3676	155	5	n=0	n=0	X
ejpam-3676	155	6	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	155	7	...	...	PUNCT
ejpam-3676	155	8	,kr)n	,kr)n	PUNCT
ejpam-3676	155	9	(	(	PUNCT
ejpam-3676	155	10	x	x	NOUN
ejpam-3676	155	11	)	)	PUNCT
ejpam-3676	155	12	tn	tn	PROPN
ejpam-3676	155	13	n	n	NOUN
ejpam-3676	155	14	!	!	PUNCT
ejpam-3676	156	1	=	=	PUNCT
ejpam-3676	156	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	156	3	...	...	PUNCT
ejpam-3676	156	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	156	5	e−2	e−2	PROPN
ejpam-3676	156	6	t	t	PROPN
ejpam-3676	156	7	)	)	PUNCT
ejpam-3676	156	8	(	(	PUNCT
ejpam-3676	156	9	1	1	NUM
ejpam-3676	156	10	+	+	CCONJ
ejpam-3676	156	11	et)r	et)r	PROPN
ejpam-3676	156	12	erxt	erxt	X
ejpam-3676	156	13	.	.	PUNCT
ejpam-3676	157	1	(	(	PUNCT
ejpam-3676	157	2	26	26	NUM
ejpam-3676	157	3	)	)	PUNCT
ejpam-3676	157	4	when	when	SCONJ
ejpam-3676	157	5	x	x	X
ejpam-3676	157	6	=	=	SYM
ejpam-3676	157	7	0	0	NUM
ejpam-3676	157	8	,	,	PUNCT
ejpam-3676	157	9	equation	equation	NOUN
ejpam-3676	157	10	(	(	PUNCT
ejpam-3676	157	11	25	25	NUM
ejpam-3676	157	12	)	)	PUNCT
ejpam-3676	157	13	gives	give	VERB
ejpam-3676	157	14	∞∑	∞∑	PRON
ejpam-3676	157	15	n=0	n=0	X
ejpam-3676	157	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	157	17	...	...	PUNCT
ejpam-3676	157	18	,kr)n	,kr)n	PUNCT
ejpam-3676	157	19	(	(	PUNCT
ejpam-3676	157	20	0	0	NUM
ejpam-3676	157	21	;	;	PUNCT
ejpam-3676	157	22	a	a	DET
ejpam-3676	157	23	,	,	PUNCT
ejpam-3676	157	24	b	b	NOUN
ejpam-3676	157	25	)	)	PUNCT
ejpam-3676	157	26	tn	tn	NOUN
ejpam-3676	157	27	n	n	NOUN
ejpam-3676	157	28	!	!	PUNCT
ejpam-3676	158	1	=	=	PUNCT
ejpam-3676	158	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	158	3	...	...	PUNCT
ejpam-3676	158	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	158	5	(	(	PUNCT
ejpam-3676	158	6	ab)−2	ab)−2	NOUN
ejpam-3676	158	7	t	t	NOUN
ejpam-3676	158	8	)	)	PUNCT
ejpam-3676	158	9	(	(	PUNCT
ejpam-3676	158	10	a−t	a−t	NOUN
ejpam-3676	158	11	+	+	CCONJ
ejpam-3676	158	12	bt)r	bt)r	PROPN
ejpam-3676	158	13	.	.	PUNCT
ejpam-3676	159	1	we	we	PRON
ejpam-3676	159	2	use	use	VERB
ejpam-3676	159	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	159	4	...	...	PUNCT
ejpam-3676	159	5	,kr)n	,kr)n	PUNCT
ejpam-3676	159	6	(	(	PUNCT
ejpam-3676	159	7	a	a	DET
ejpam-3676	159	8	,	,	PUNCT
ejpam-3676	159	9	b	b	NOUN
ejpam-3676	159	10	)	)	PUNCT
ejpam-3676	159	11	to	to	PART
ejpam-3676	159	12	denote	denote	VERB
ejpam-3676	159	13	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	159	14	...	...	PUNCT
ejpam-3676	159	15	,kr)n	,kr)n	PUNCT
ejpam-3676	159	16	(	(	PUNCT
ejpam-3676	159	17	0	0	NUM
ejpam-3676	159	18	;	;	PUNCT
ejpam-3676	159	19	a	a	DET
ejpam-3676	159	20	,	,	PUNCT
ejpam-3676	159	21	b	b	NOUN
ejpam-3676	159	22	)	)	PUNCT
ejpam-3676	159	23	.	.	PUNCT
ejpam-3676	160	1	the	the	DET
ejpam-3676	160	2	following	follow	VERB
ejpam-3676	160	3	theorem	theorem	NOUN
ejpam-3676	160	4	is	be	AUX
ejpam-3676	160	5	given	give	VERB
ejpam-3676	160	6	without	without	ADP
ejpam-3676	160	7	proof	proof	NOUN
ejpam-3676	160	8	since	since	SCONJ
ejpam-3676	160	9	it	it	PRON
ejpam-3676	160	10	follows	follow	VERB
ejpam-3676	160	11	from	from	ADP
ejpam-3676	160	12	[	[	X
ejpam-3676	160	13	16	16	NUM
ejpam-3676	160	14	,	,	PUNCT
ejpam-3676	160	15	theorems	theorem	VERB
ejpam-3676	160	16	2.12.3	2.12.3	NUM
ejpam-3676	160	17	]	]	PUNCT
ejpam-3676	160	18	.	.	PUNCT
ejpam-3676	161	1	theorem	theorem	VERB
ejpam-3676	161	2	2.2	2.2	NUM
ejpam-3676	161	3	.	.	PUNCT
ejpam-3676	162	1	the	the	DET
ejpam-3676	162	2	generalized	generalize	VERB
ejpam-3676	162	3	poly	poly	ADJ
ejpam-3676	162	4	-	-	PUNCT
ejpam-3676	162	5	genocchi	genocchi	NOUN
ejpam-3676	162	6	polynomials	polynomial	NOUN
ejpam-3676	162	7	satisfy	satisfy	VERB
ejpam-3676	162	8	the	the	DET
ejpam-3676	162	9	relations	relation	NOUN
ejpam-3676	162	10	g(k1,k2,	g(k1,k2,	ADJ
ejpam-3676	162	11	...	...	PUNCT
ejpam-3676	162	12	,kr)n	,kr)n	SYM
ejpam-3676	162	13	(	(	PUNCT
ejpam-3676	162	14	x	x	NOUN
ejpam-3676	162	15	;	;	PUNCT
ejpam-3676	162	16	a	a	DET
ejpam-3676	162	17	,	,	PUNCT
ejpam-3676	162	18	b	b	NOUN
ejpam-3676	162	19	,	,	PUNCT
ejpam-3676	162	20	c	c	NOUN
ejpam-3676	162	21	)	)	PUNCT
ejpam-3676	162	22	=	=	SYM
ejpam-3676	162	23	(	(	PUNCT
ejpam-3676	162	24	r(ln	r(ln	PROPN
ejpam-3676	162	25	a+	a+	X
ejpam-3676	162	26	ln	ln	ADJ
ejpam-3676	162	27	b))ng(k1,k2,	b))ng(k1,k2,	NOUN
ejpam-3676	162	28	...	...	PUNCT
ejpam-3676	162	29	,kr)n	,kr)n	PUNCT
ejpam-3676	162	30	(	(	PUNCT
ejpam-3676	162	31	x	x	PUNCT
ejpam-3676	162	32	ln	ln	ADJ
ejpam-3676	162	33	c+	c+	NOUN
ejpam-3676	162	34	ln	ln	ADV
ejpam-3676	162	35	a	a	DET
ejpam-3676	162	36	ln	ln	NOUN
ejpam-3676	162	37	ab	ab	PROPN
ejpam-3676	162	38	)	)	PUNCT
ejpam-3676	162	39	(	(	PUNCT
ejpam-3676	162	40	27	27	NUM
ejpam-3676	162	41	)	)	PUNCT
ejpam-3676	162	42	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	162	43	...	...	PUNCT
ejpam-3676	162	44	,kr)n	,kr)n	PUNCT
ejpam-3676	162	45	(	(	PUNCT
ejpam-3676	162	46	x	x	NOUN
ejpam-3676	162	47	;	;	PUNCT
ejpam-3676	162	48	a	a	DET
ejpam-3676	162	49	,	,	PUNCT
ejpam-3676	162	50	b	b	NOUN
ejpam-3676	162	51	,	,	PUNCT
ejpam-3676	162	52	c	c	NOUN
ejpam-3676	162	53	)	)	PUNCT
ejpam-3676	162	54	=	=	PUNCT
ejpam-3676	163	1	∞∑	∞∑	NUM
ejpam-3676	163	2	i=0	i=0	PROPN
ejpam-3676	163	3	(	(	PUNCT
ejpam-3676	163	4	n	n	NOUN
ejpam-3676	163	5	i	i	PRON
ejpam-3676	163	6	)	)	PUNCT
ejpam-3676	164	1	(	(	PUNCT
ejpam-3676	164	2	r	r	X
ejpam-3676	164	3	ln	ln	ADJ
ejpam-3676	164	4	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-3676	164	5	...	...	PUNCT
ejpam-3676	164	6	,kr)i	,kr)i	PUNCT
ejpam-3676	164	7	(	(	PUNCT
ejpam-3676	164	8	a	a	PRON
ejpam-3676	164	9	,	,	PUNCT
ejpam-3676	164	10	b)xn−i	b)xn−i	X
ejpam-3676	164	11	(	(	PUNCT
ejpam-3676	164	12	28	28	NUM
ejpam-3676	164	13	)	)	PUNCT
ejpam-3676	164	14	d	d	NOUN
ejpam-3676	164	15	dx	dx	PROPN
ejpam-3676	164	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	164	17	...	...	PUNCT
ejpam-3676	164	18	,kr)n+1	,kr)n+1	PUNCT
ejpam-3676	164	19	(	(	PUNCT
ejpam-3676	164	20	x	x	NOUN
ejpam-3676	164	21	;	;	PUNCT
ejpam-3676	164	22	a	a	DET
ejpam-3676	164	23	,	,	PUNCT
ejpam-3676	164	24	b	b	NOUN
ejpam-3676	164	25	,	,	PUNCT
ejpam-3676	164	26	c	c	NOUN
ejpam-3676	164	27	)	)	PUNCT
ejpam-3676	164	28	=	=	SYM
ejpam-3676	165	1	(	(	PUNCT
ejpam-3676	165	2	n+	n+	NUM
ejpam-3676	165	3	1)(r	1)(r	NUM
ejpam-3676	165	4	ln	ln	ADJ
ejpam-3676	165	5	c)g(k1,k2,	c)g(k1,k2,	NOUN
ejpam-3676	165	6	...	...	PUNCT
ejpam-3676	165	7	,kr)n	,kr)n	SYM
ejpam-3676	165	8	(	(	PUNCT
ejpam-3676	165	9	x	x	NOUN
ejpam-3676	165	10	;	;	PUNCT
ejpam-3676	165	11	a	a	DET
ejpam-3676	165	12	,	,	PUNCT
ejpam-3676	165	13	b	b	NOUN
ejpam-3676	165	14	,	,	PUNCT
ejpam-3676	165	15	c	c	NOUN
ejpam-3676	165	16	)	)	PUNCT
ejpam-3676	165	17	.	.	PUNCT
ejpam-3676	166	1	(	(	PUNCT
ejpam-3676	166	2	29	29	NUM
ejpam-3676	166	3	)	)	PUNCT
ejpam-3676	166	4	equation	equation	NOUN
ejpam-3676	166	5	(	(	PUNCT
ejpam-3676	166	6	29	29	NUM
ejpam-3676	166	7	)	)	PUNCT
ejpam-3676	166	8	contains	contain	VERB
ejpam-3676	166	9	a	a	DET
ejpam-3676	166	10	differential	differential	ADJ
ejpam-3676	166	11	identity	identity	NOUN
ejpam-3676	166	12	that	that	PRON
ejpam-3676	166	13	can	can	AUX
ejpam-3676	166	14	be	be	AUX
ejpam-3676	166	15	used	use	VERB
ejpam-3676	166	16	to	to	PART
ejpam-3676	166	17	classify	classify	VERB
ejpam-3676	166	18	generalized	generalized	ADJ
ejpam-3676	166	19	poly	poly	ADJ
ejpam-3676	166	20	-	-	PUNCT
ejpam-3676	166	21	genocchi	genocchi	NOUN
ejpam-3676	166	22	polynomials	polynomial	NOUN
ejpam-3676	166	23	as	as	ADP
ejpam-3676	166	24	appell	appell	ADJ
ejpam-3676	166	25	polynomials	polynomial	NOUN
ejpam-3676	166	26	[	[	X
ejpam-3676	166	27	14	14	NUM
ejpam-3676	166	28	,	,	PUNCT
ejpam-3676	166	29	25	25	NUM
ejpam-3676	166	30	,	,	PUNCT
ejpam-3676	166	31	28	28	NUM
ejpam-3676	166	32	]	]	PUNCT
ejpam-3676	166	33	.	.	PUNCT
ejpam-3676	167	1	when	when	SCONJ
ejpam-3676	167	2	c	c	NOUN
ejpam-3676	167	3	=	=	SYM
ejpam-3676	167	4	e1	e1	PROPN
ejpam-3676	167	5	/	/	SYM
ejpam-3676	167	6	r	r	NOUN
ejpam-3676	167	7	,	,	PUNCT
ejpam-3676	167	8	equation	equation	NOUN
ejpam-3676	167	9	(	(	PUNCT
ejpam-3676	167	10	29	29	NUM
ejpam-3676	167	11	)	)	PUNCT
ejpam-3676	167	12	reduces	reduce	VERB
ejpam-3676	167	13	to	to	ADP
ejpam-3676	167	14	d	d	PROPN
ejpam-3676	167	15	dx	dx	PROPN
ejpam-3676	167	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	167	17	...	...	PUNCT
ejpam-3676	167	18	,kr)n+1	,kr)n+1	PUNCT
ejpam-3676	167	19	(	(	PUNCT
ejpam-3676	167	20	x	x	NOUN
ejpam-3676	167	21	;	;	PUNCT
ejpam-3676	167	22	a	a	DET
ejpam-3676	167	23	,	,	PUNCT
ejpam-3676	167	24	b	b	NOUN
ejpam-3676	167	25	,	,	PUNCT
ejpam-3676	167	26	e1	e1	NOUN
ejpam-3676	167	27	/	/	SYM
ejpam-3676	167	28	r	r	NOUN
ejpam-3676	167	29	)	)	PUNCT
ejpam-3676	167	30	=	=	SYM
ejpam-3676	167	31	(	(	PUNCT
ejpam-3676	167	32	n+	n+	X
ejpam-3676	167	33	1)g(k1,k2,	1)g(k1,k2,	NUM
ejpam-3676	167	34	...	...	PUNCT
ejpam-3676	167	35	,kr)n	,kr)n	PUNCT
ejpam-3676	167	36	(	(	PUNCT
ejpam-3676	167	37	x	x	NOUN
ejpam-3676	167	38	;	;	PUNCT
ejpam-3676	167	39	a	a	DET
ejpam-3676	167	40	,	,	PUNCT
ejpam-3676	167	41	b	b	NOUN
ejpam-3676	167	42	,	,	PUNCT
ejpam-3676	167	43	e1	e1	NOUN
ejpam-3676	167	44	/	/	SYM
ejpam-3676	167	45	r	r	NOUN
ejpam-3676	167	46	)	)	PUNCT
ejpam-3676	167	47	,	,	PUNCT
ejpam-3676	167	48	(	(	PUNCT
ejpam-3676	167	49	30	30	X
ejpam-3676	167	50	)	)	PUNCT
ejpam-3676	167	51	r.	r.	PROPN
ejpam-3676	167	52	corcino	corcino	PROPN
ejpam-3676	167	53	,	,	PUNCT
ejpam-3676	167	54	m.	m.	NOUN
ejpam-3676	167	55	laurente	laurente	PROPN
ejpam-3676	167	56	,	,	PUNCT
ejpam-3676	167	57	mar	mar	PROPN
ejpam-3676	167	58	.	.	PROPN
ejpam-3676	167	59	vega	vega	PROPN
ejpam-3676	167	60	/	/	SYM
ejpam-3676	167	61	eur	eur	PROPN
ejpam-3676	167	62	.	.	PUNCT
ejpam-3676	168	1	j.	j.	PROPN
ejpam-3676	168	2	pure	pure	PROPN
ejpam-3676	168	3	appl	appl	PROPN
ejpam-3676	168	4	.	.	PROPN
ejpam-3676	168	5	math	math	PROPN
ejpam-3676	168	6	,	,	PUNCT
ejpam-3676	168	7	13	13	NUM
ejpam-3676	168	8	(	(	PUNCT
ejpam-3676	168	9	3	3	NUM
ejpam-3676	168	10	)	)	PUNCT
ejpam-3676	168	11	(	(	PUNCT
ejpam-3676	168	12	2020	2020	NUM
ejpam-3676	168	13	)	)	PUNCT
ejpam-3676	168	14	,	,	PUNCT
ejpam-3676	168	15	444	444	NUM
ejpam-3676	168	16	-	-	SYM
ejpam-3676	168	17	458	458	NUM
ejpam-3676	168	18	451	451	NUM
ejpam-3676	168	19	which	which	PRON
ejpam-3676	168	20	is	be	AUX
ejpam-3676	168	21	one	one	NUM
ejpam-3676	168	22	of	of	ADP
ejpam-3676	168	23	the	the	DET
ejpam-3676	168	24	property	property	NOUN
ejpam-3676	168	25	for	for	ADP
ejpam-3676	168	26	the	the	DET
ejpam-3676	168	27	polynomial	polynomial	NOUN
ejpam-3676	168	28	to	to	PART
ejpam-3676	168	29	be	be	AUX
ejpam-3676	168	30	classified	classify	VERB
ejpam-3676	168	31	as	as	ADP
ejpam-3676	168	32	appell	appell	NOUN
ejpam-3676	168	33	polynomial	polynomial	ADJ
ejpam-3676	168	34	.	.	PUNCT
ejpam-3676	169	1	hence	hence	ADV
ejpam-3676	169	2	,	,	PUNCT
ejpam-3676	169	3	the	the	DET
ejpam-3676	169	4	generalized	generalize	VERB
ejpam-3676	169	5	poly	poly	ADJ
ejpam-3676	169	6	-	-	PUNCT
ejpam-3676	169	7	genocchi	genocchi	NOUN
ejpam-3676	169	8	polynomials	polynomial	VERB
ejpam-3676	169	9	g(k)n	g(k)n	PROPN
ejpam-3676	169	10	(	(	PUNCT
ejpam-3676	169	11	x	x	NOUN
ejpam-3676	169	12	;	;	PUNCT
ejpam-3676	169	13	a	a	DET
ejpam-3676	169	14	,	,	PUNCT
ejpam-3676	169	15	b	b	NOUN
ejpam-3676	169	16	)	)	PUNCT
ejpam-3676	169	17	must	must	AUX
ejpam-3676	169	18	possess	possess	VERB
ejpam-3676	169	19	the	the	DET
ejpam-3676	169	20	following	follow	VERB
ejpam-3676	169	21	properties	property	NOUN
ejpam-3676	169	22	g(k1,k2,	g(k1,k2,	ADJ
ejpam-3676	169	23	...	...	PUNCT
ejpam-3676	169	24	,kr)n	,kr)n	PUNCT
ejpam-3676	169	25	(	(	PUNCT
ejpam-3676	169	26	x	x	NOUN
ejpam-3676	169	27	;	;	PUNCT
ejpam-3676	169	28	a	a	DET
ejpam-3676	169	29	,	,	PUNCT
ejpam-3676	169	30	b	b	NOUN
ejpam-3676	169	31	,	,	PUNCT
ejpam-3676	169	32	e1	e1	NOUN
ejpam-3676	169	33	/	/	SYM
ejpam-3676	169	34	r	r	NOUN
ejpam-3676	169	35	)	)	PUNCT
ejpam-3676	169	36	=	=	SYM
ejpam-3676	169	37	n∑	n∑	PROPN
ejpam-3676	169	38	i=0	i=0	PROPN
ejpam-3676	169	39	(	(	PUNCT
ejpam-3676	169	40	n	n	X
ejpam-3676	169	41	i	i	PRON
ejpam-3676	169	42	)	)	PUNCT
ejpam-3676	170	1	cix	cix	PROPN
ejpam-3676	170	2	n−i	n−i	PROPN
ejpam-3676	170	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	170	4	...	...	PUNCT
ejpam-3676	170	5	,kr)n	,kr)n	PUNCT
ejpam-3676	170	6	(	(	PUNCT
ejpam-3676	170	7	x	x	NOUN
ejpam-3676	170	8	;	;	PUNCT
ejpam-3676	170	9	a	a	DET
ejpam-3676	170	10	,	,	PUNCT
ejpam-3676	170	11	b	b	NOUN
ejpam-3676	170	12	,	,	PUNCT
ejpam-3676	170	13	e1	e1	NOUN
ejpam-3676	170	14	/	/	SYM
ejpam-3676	170	15	r	r	NOUN
ejpam-3676	170	16	)	)	PUNCT
ejpam-3676	170	17	=	=	NOUN
ejpam-3676	171	1	(	(	PUNCT
ejpam-3676	171	2	∞∑	∞∑	NUM
ejpam-3676	171	3	i=0	i=0	PROPN
ejpam-3676	171	4	ci	ci	NOUN
ejpam-3676	171	5	i	i	PROPN
ejpam-3676	171	6	!	!	PUNCT
ejpam-3676	171	7	di	di	INTJ
ejpam-3676	171	8	)	)	PUNCT
ejpam-3676	172	1	xn	xn	PROPN
ejpam-3676	172	2	,	,	PUNCT
ejpam-3676	172	3	for	for	ADP
ejpam-3676	172	4	some	some	DET
ejpam-3676	172	5	scalar	scalar	ADJ
ejpam-3676	172	6	ci	ci	NOUN
ejpam-3676	172	7	6=	6=	ADP
ejpam-3676	172	8	0	0	NUM
ejpam-3676	172	9	.	.	PUNCT
ejpam-3676	173	1	it	it	PRON
ejpam-3676	173	2	is	be	AUX
ejpam-3676	173	3	then	then	ADV
ejpam-3676	173	4	necessary	necessary	ADJ
ejpam-3676	173	5	to	to	PART
ejpam-3676	173	6	find	find	VERB
ejpam-3676	173	7	the	the	DET
ejpam-3676	173	8	sequence	sequence	NOUN
ejpam-3676	173	9	{	{	PUNCT
ejpam-3676	173	10	cn	cn	NOUN
ejpam-3676	173	11	}	}	PUNCT
ejpam-3676	173	12	.	.	PUNCT
ejpam-3676	174	1	however	however	ADV
ejpam-3676	174	2	,	,	PUNCT
ejpam-3676	174	3	using	use	VERB
ejpam-3676	174	4	equation	equation	NOUN
ejpam-3676	174	5	(	(	PUNCT
ejpam-3676	174	6	28	28	NUM
ejpam-3676	174	7	)	)	PUNCT
ejpam-3676	174	8	,	,	PUNCT
ejpam-3676	174	9	ci	ci	NOUN
ejpam-3676	174	10	=	=	PUNCT
ejpam-3676	174	11	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	174	12	...	...	PUNCT
ejpam-3676	174	13	,kr)i	,kr)i	PUNCT
ejpam-3676	174	14	(	(	PUNCT
ejpam-3676	174	15	a	a	DET
ejpam-3676	174	16	,	,	PUNCT
ejpam-3676	174	17	b	b	NOUN
ejpam-3676	174	18	)	)	PUNCT
ejpam-3676	174	19	,	,	PUNCT
ejpam-3676	174	20	which	which	PRON
ejpam-3676	174	21	implies	imply	VERB
ejpam-3676	174	22	the	the	DET
ejpam-3676	174	23	following	follow	VERB
ejpam-3676	174	24	corollary	corollary	NOUN
ejpam-3676	174	25	.	.	PUNCT
ejpam-3676	175	1	corollary	corollary	ADJ
ejpam-3676	175	2	2.3	2.3	NUM
ejpam-3676	175	3	.	.	PUNCT
ejpam-3676	176	1	the	the	DET
ejpam-3676	176	2	generalized	generalize	VERB
ejpam-3676	176	3	poly	poly	ADJ
ejpam-3676	176	4	-	-	PUNCT
ejpam-3676	176	5	genocchi	genocchi	NOUN
ejpam-3676	176	6	polynomials	polynomial	NOUN
ejpam-3676	176	7	satisfy	satisfy	VERB
ejpam-3676	176	8	the	the	DET
ejpam-3676	176	9	following	follow	VERB
ejpam-3676	176	10	formula	formula	NOUN
ejpam-3676	176	11	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	176	12	...	...	PUNCT
ejpam-3676	176	13	,kr)n	,kr)n	PUNCT
ejpam-3676	176	14	(	(	PUNCT
ejpam-3676	176	15	x	x	NOUN
ejpam-3676	176	16	;	;	PUNCT
ejpam-3676	176	17	a	a	DET
ejpam-3676	176	18	,	,	PUNCT
ejpam-3676	176	19	b	b	NOUN
ejpam-3676	176	20	,	,	PUNCT
ejpam-3676	176	21	e1	e1	NOUN
ejpam-3676	176	22	/	/	SYM
ejpam-3676	176	23	r	r	NOUN
ejpam-3676	176	24	)	)	PUNCT
ejpam-3676	176	25	=	=	NOUN
ejpam-3676	177	1	(	(	PUNCT
ejpam-3676	177	2	∞∑	∞∑	NUM
ejpam-3676	177	3	i=0	i=0	PROPN
ejpam-3676	177	4	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	177	5	...	...	PUNCT
ejpam-3676	177	6	,kr)i	,kr)i	PUNCT
ejpam-3676	177	7	(	(	PUNCT
ejpam-3676	177	8	a	a	PRON
ejpam-3676	177	9	,	,	PUNCT
ejpam-3676	177	10	b	b	NOUN
ejpam-3676	177	11	)	)	PUNCT
ejpam-3676	177	12	i	i	NOUN
ejpam-3676	177	13	!	!	PUNCT
ejpam-3676	178	1	di	di	INTJ
ejpam-3676	178	2	)	)	PUNCT
ejpam-3676	179	1	xn	xn	PROPN
ejpam-3676	179	2	.	.	PUNCT
ejpam-3676	180	1	for	for	ADP
ejpam-3676	180	2	example	example	NOUN
ejpam-3676	180	3	,	,	PUNCT
ejpam-3676	180	4	when	when	SCONJ
ejpam-3676	180	5	n	n	X
ejpam-3676	180	6	=	=	SYM
ejpam-3676	180	7	3	3	NUM
ejpam-3676	180	8	,	,	PUNCT
ejpam-3676	180	9	we	we	PRON
ejpam-3676	180	10	have	have	VERB
ejpam-3676	180	11	g(k1,k2,	g(k1,k2,	ADJ
ejpam-3676	180	12	...	...	PUNCT
ejpam-3676	180	13	,kr)3	,kr)3	PUNCT
ejpam-3676	180	14	(	(	PUNCT
ejpam-3676	180	15	x	x	X
ejpam-3676	180	16	;	;	PUNCT
ejpam-3676	180	17	a	a	DET
ejpam-3676	180	18	,	,	PUNCT
ejpam-3676	180	19	b	b	NOUN
ejpam-3676	180	20	,	,	PUNCT
ejpam-3676	180	21	e1	e1	NOUN
ejpam-3676	180	22	/	/	SYM
ejpam-3676	180	23	r	r	NOUN
ejpam-3676	180	24	)	)	PUNCT
ejpam-3676	180	25	=	=	NOUN
ejpam-3676	181	1	(	(	PUNCT
ejpam-3676	181	2	∞∑	∞∑	NUM
ejpam-3676	181	3	i=0	i=0	PROPN
ejpam-3676	181	4	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	181	5	...	...	PUNCT
ejpam-3676	181	6	,kr)i	,kr)i	PUNCT
ejpam-3676	181	7	(	(	PUNCT
ejpam-3676	181	8	a	a	PRON
ejpam-3676	181	9	,	,	PUNCT
ejpam-3676	181	10	b	b	NOUN
ejpam-3676	181	11	)	)	PUNCT
ejpam-3676	182	1	i	i	NOUN
ejpam-3676	182	2	!	!	PUNCT
ejpam-3676	182	3	di	di	INTJ
ejpam-3676	182	4	)	)	PUNCT
ejpam-3676	182	5	x3	x3	PROPN
ejpam-3676	182	6	=	=	SYM
ejpam-3676	182	7	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	182	8	...	...	PUNCT
ejpam-3676	182	9	,kr)0	,kr)0	PUNCT
ejpam-3676	182	10	(	(	PUNCT
ejpam-3676	182	11	a	a	DET
ejpam-3676	182	12	,	,	PUNCT
ejpam-3676	182	13	b	b	NOUN
ejpam-3676	182	14	)	)	PUNCT
ejpam-3676	182	15	0	0	PUNCT
ejpam-3676	182	16	!	!	PUNCT
ejpam-3676	183	1	x3	x3	VERB
ejpam-3676	183	2	+	+	CCONJ
ejpam-3676	183	3	g(k1,k2,	g(k1,k2,	ADJ
ejpam-3676	183	4	...	...	PUNCT
ejpam-3676	183	5	,kr)1	,kr)1	PUNCT
ejpam-3676	183	6	(	(	PUNCT
ejpam-3676	183	7	a	a	DET
ejpam-3676	183	8	,	,	PUNCT
ejpam-3676	183	9	b	b	NOUN
ejpam-3676	183	10	)	)	PUNCT
ejpam-3676	183	11	1	1	NUM
ejpam-3676	183	12	!	!	PUNCT
ejpam-3676	184	1	d1x3	d1x3	PUNCT
ejpam-3676	185	1	+	+	CCONJ
ejpam-3676	186	1	g(k1,k2,	g(k1,k2,	ADJ
ejpam-3676	186	2	...	...	PUNCT
ejpam-3676	186	3	,kr)2	,kr)2	PUNCT
ejpam-3676	186	4	(	(	PUNCT
ejpam-3676	186	5	a	a	DET
ejpam-3676	186	6	,	,	PUNCT
ejpam-3676	186	7	b	b	NOUN
ejpam-3676	186	8	)	)	PUNCT
ejpam-3676	186	9	2	2	NUM
ejpam-3676	186	10	!	!	PUNCT
ejpam-3676	187	1	d2x3	d2x3	PUNCT
ejpam-3676	187	2	+	+	NUM
ejpam-3676	187	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	187	4	...	...	PUNCT
ejpam-3676	187	5	,kr)3	,kr)3	X
ejpam-3676	187	6	(	(	PUNCT
ejpam-3676	187	7	a	a	DET
ejpam-3676	187	8	,	,	PUNCT
ejpam-3676	187	9	b	b	NOUN
ejpam-3676	187	10	)	)	PUNCT
ejpam-3676	187	11	3	3	NUM
ejpam-3676	187	12	!	!	PUNCT
ejpam-3676	188	1	d3x3	d3x3	X
ejpam-3676	188	2	=	=	SYM
ejpam-3676	188	3	g(k)0	g(k)0	PROPN
ejpam-3676	188	4	(	(	PUNCT
ejpam-3676	188	5	a	a	PRON
ejpam-3676	188	6	,	,	PUNCT
ejpam-3676	188	7	b)x3	b)x3	PROPN
ejpam-3676	188	8	+	+	NOUN
ejpam-3676	188	9	3g(k1,k2,	3g(k1,k2,	X
ejpam-3676	188	10	...	...	PUNCT
ejpam-3676	188	11	,kr)1	,kr)1	PUNCT
ejpam-3676	188	12	(	(	PUNCT
ejpam-3676	188	13	a	a	X
ejpam-3676	188	14	,	,	PUNCT
ejpam-3676	188	15	b)x2	b)x2	PROPN
ejpam-3676	188	16	+	+	CCONJ
ejpam-3676	188	17	3g(k1,k2,	3g(k1,k2,	NUM
ejpam-3676	188	18	...	...	PUNCT
ejpam-3676	188	19	,kr)2	,kr)2	PUNCT
ejpam-3676	188	20	(	(	PUNCT
ejpam-3676	188	21	a	a	PRON
ejpam-3676	188	22	,	,	PUNCT
ejpam-3676	188	23	b)x+	b)x+	X
ejpam-3676	188	24	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	188	25	...	...	PUNCT
ejpam-3676	188	26	,kr)3	,kr)3	PUNCT
ejpam-3676	188	27	(	(	PUNCT
ejpam-3676	188	28	a	a	DET
ejpam-3676	188	29	,	,	PUNCT
ejpam-3676	188	30	b	b	NOUN
ejpam-3676	188	31	)	)	PUNCT
ejpam-3676	188	32	.	.	PUNCT
ejpam-3676	189	1	the	the	DET
ejpam-3676	189	2	following	follow	VERB
ejpam-3676	189	3	theorem	theorem	NOUN
ejpam-3676	189	4	contains	contain	VERB
ejpam-3676	189	5	the	the	DET
ejpam-3676	189	6	addition	addition	NOUN
ejpam-3676	189	7	formula	formula	NOUN
ejpam-3676	189	8	for	for	ADP
ejpam-3676	189	9	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	189	10	...	...	PUNCT
ejpam-3676	189	11	,kr)n	,kr)n	PUNCT
ejpam-3676	189	12	(	(	PUNCT
ejpam-3676	189	13	x	x	NOUN
ejpam-3676	189	14	;	;	PUNCT
ejpam-3676	189	15	a	a	DET
ejpam-3676	189	16	,	,	PUNCT
ejpam-3676	189	17	b	b	NOUN
ejpam-3676	189	18	,	,	PUNCT
ejpam-3676	189	19	c	c	NOUN
ejpam-3676	189	20	)	)	PUNCT
ejpam-3676	189	21	.	.	PUNCT
ejpam-3676	190	1	theorem	theorem	VERB
ejpam-3676	190	2	2.4	2.4	NUM
ejpam-3676	190	3	.	.	PUNCT
ejpam-3676	191	1	the	the	DET
ejpam-3676	191	2	generalized	generalize	VERB
ejpam-3676	191	3	poly	poly	ADJ
ejpam-3676	191	4	-	-	PUNCT
ejpam-3676	191	5	genocchi	genocchi	NOUN
ejpam-3676	191	6	polynomials	polynomial	NOUN
ejpam-3676	191	7	satisfy	satisfy	VERB
ejpam-3676	191	8	the	the	DET
ejpam-3676	191	9	following	follow	VERB
ejpam-3676	191	10	addition	addition	NOUN
ejpam-3676	191	11	formula	formula	NOUN
ejpam-3676	191	12	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	191	13	...	...	PUNCT
ejpam-3676	191	14	,kr)n	,kr)n	PUNCT
ejpam-3676	191	15	(	(	PUNCT
ejpam-3676	191	16	x+	x+	PROPN
ejpam-3676	191	17	y	y	NOUN
ejpam-3676	191	18	;	;	PUNCT
ejpam-3676	191	19	a	a	DET
ejpam-3676	191	20	,	,	PUNCT
ejpam-3676	191	21	b	b	NOUN
ejpam-3676	191	22	,	,	PUNCT
ejpam-3676	191	23	c	c	NOUN
ejpam-3676	191	24	)	)	PUNCT
ejpam-3676	191	25	=	=	PUNCT
ejpam-3676	192	1	∞∑	∞∑	NUM
ejpam-3676	192	2	i=0	i=0	PROPN
ejpam-3676	192	3	(	(	PUNCT
ejpam-3676	192	4	n	n	NOUN
ejpam-3676	192	5	i	i	PRON
ejpam-3676	192	6	)	)	PUNCT
ejpam-3676	193	1	(	(	PUNCT
ejpam-3676	193	2	r	r	X
ejpam-3676	193	3	ln	ln	ADJ
ejpam-3676	193	4	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-3676	193	5	...	...	PUNCT
ejpam-3676	193	6	,kr)i	,kr)i	PUNCT
ejpam-3676	193	7	(	(	PUNCT
ejpam-3676	193	8	x	x	NOUN
ejpam-3676	193	9	;	;	PUNCT
ejpam-3676	193	10	a	a	DET
ejpam-3676	193	11	,	,	PUNCT
ejpam-3676	193	12	b	b	NOUN
ejpam-3676	193	13	,	,	PUNCT
ejpam-3676	193	14	c)yn−i	c)yn−i	NOUN
ejpam-3676	193	15	.	.	PUNCT
ejpam-3676	194	1	proof	proof	NOUN
ejpam-3676	194	2	.	.	PUNCT
ejpam-3676	195	1	using	use	VERB
ejpam-3676	195	2	definition	definition	NOUN
ejpam-3676	195	3	2.1	2.1	NUM
ejpam-3676	195	4	,	,	PUNCT
ejpam-3676	195	5	∞∑	∞∑	ADJ
ejpam-3676	195	6	n=0	n=0	X
ejpam-3676	195	7	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	195	8	...	...	PUNCT
ejpam-3676	195	9	,kr)n	,kr)n	PUNCT
ejpam-3676	195	10	(	(	PUNCT
ejpam-3676	195	11	x+	x+	PROPN
ejpam-3676	195	12	y	y	NOUN
ejpam-3676	195	13	;	;	PUNCT
ejpam-3676	195	14	a	a	DET
ejpam-3676	195	15	,	,	PUNCT
ejpam-3676	195	16	b	b	NOUN
ejpam-3676	195	17	,	,	PUNCT
ejpam-3676	195	18	c	c	NOUN
ejpam-3676	195	19	)	)	PUNCT
ejpam-3676	195	20	tn	tn	PROPN
ejpam-3676	195	21	n	n	CCONJ
ejpam-3676	195	22	!	!	PUNCT
ejpam-3676	196	1	=	=	PRON
ejpam-3676	196	2	lik(1−	lik(1−	ADJ
ejpam-3676	196	3	(	(	PUNCT
ejpam-3676	196	4	ab)−2	ab)−2	NOUN
ejpam-3676	196	5	t	t	NOUN
ejpam-3676	196	6	)	)	PUNCT
ejpam-3676	196	7	(	(	PUNCT
ejpam-3676	196	8	a−t	a−t	NOUN
ejpam-3676	196	9	+	+	CCONJ
ejpam-3676	196	10	bt	bt	NOUN
ejpam-3676	196	11	)	)	PUNCT
ejpam-3676	196	12	r	r	NOUN
ejpam-3676	196	13	c(x+y)rt	c(x+y)rt	NOUN
ejpam-3676	196	14	r.	r.	NOUN
ejpam-3676	196	15	corcino	corcino	PROPN
ejpam-3676	196	16	,	,	PUNCT
ejpam-3676	196	17	m.	m.	NOUN
ejpam-3676	196	18	laurente	laurente	PROPN
ejpam-3676	196	19	,	,	PUNCT
ejpam-3676	196	20	mar	mar	PROPN
ejpam-3676	196	21	.	.	PROPN
ejpam-3676	196	22	vega	vega	PROPN
ejpam-3676	196	23	/	/	SYM
ejpam-3676	196	24	eur	eur	PROPN
ejpam-3676	196	25	.	.	PUNCT
ejpam-3676	197	1	j.	j.	PROPN
ejpam-3676	197	2	pure	pure	PROPN
ejpam-3676	197	3	appl	appl	PROPN
ejpam-3676	197	4	.	.	PROPN
ejpam-3676	197	5	math	math	PROPN
ejpam-3676	197	6	,	,	PUNCT
ejpam-3676	197	7	13	13	NUM
ejpam-3676	197	8	(	(	PUNCT
ejpam-3676	197	9	3	3	NUM
ejpam-3676	197	10	)	)	PUNCT
ejpam-3676	197	11	(	(	PUNCT
ejpam-3676	197	12	2020	2020	NUM
ejpam-3676	197	13	)	)	PUNCT
ejpam-3676	197	14	,	,	PUNCT
ejpam-3676	197	15	444	444	NUM
ejpam-3676	197	16	-	-	SYM
ejpam-3676	197	17	458	458	NUM
ejpam-3676	197	18	452	452	NUM
ejpam-3676	197	19	=	=	SYM
ejpam-3676	197	20	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	197	21	...	...	PUNCT
ejpam-3676	197	22	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	197	23	(	(	PUNCT
ejpam-3676	197	24	ab)−2	ab)−2	NOUN
ejpam-3676	197	25	t	t	NOUN
ejpam-3676	197	26	)	)	PUNCT
ejpam-3676	197	27	(	(	PUNCT
ejpam-3676	197	28	a−t	a−t	NOUN
ejpam-3676	197	29	+	+	CCONJ
ejpam-3676	197	30	bt	bt	NOUN
ejpam-3676	197	31	)	)	PUNCT
ejpam-3676	197	32	r	r	NOUN
ejpam-3676	197	33	cxrtcyrt	cxrtcyrt	NOUN
ejpam-3676	197	34	=	=	PUNCT
ejpam-3676	197	35	(	(	PUNCT
ejpam-3676	197	36	∞∑	∞∑	NUM
ejpam-3676	197	37	n=0	n=0	NUM
ejpam-3676	197	38	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	197	39	...	...	PUNCT
ejpam-3676	197	40	,kr)n	,kr)n	PUNCT
ejpam-3676	197	41	(	(	PUNCT
ejpam-3676	197	42	x	x	NOUN
ejpam-3676	197	43	;	;	PUNCT
ejpam-3676	197	44	a	a	DET
ejpam-3676	197	45	,	,	PUNCT
ejpam-3676	197	46	b	b	NOUN
ejpam-3676	197	47	,	,	PUNCT
ejpam-3676	197	48	c	c	NOUN
ejpam-3676	197	49	)	)	PUNCT
ejpam-3676	197	50	tn	tn	PROPN
ejpam-3676	197	51	n	n	PROPN
ejpam-3676	197	52	!	!	PUNCT
ejpam-3676	197	53	)	)	PUNCT
ejpam-3676	198	1	(	(	PUNCT
ejpam-3676	198	2	∞∑	∞∑	NUM
ejpam-3676	198	3	n=0	n=0	NUM
ejpam-3676	198	4	(	(	PUNCT
ejpam-3676	198	5	yr	yr	PROPN
ejpam-3676	198	6	ln	ln	PROPN
ejpam-3676	198	7	c)n	c)n	PROPN
ejpam-3676	198	8	tn	tn	PROPN
ejpam-3676	198	9	n	n	CCONJ
ejpam-3676	198	10	!	!	PUNCT
ejpam-3676	198	11	)	)	PUNCT
ejpam-3676	199	1	=	=	PUNCT
ejpam-3676	200	1	∞∑	∞∑	NUM
ejpam-3676	200	2	n=0	n=0	NUM
ejpam-3676	200	3	(	(	PUNCT
ejpam-3676	200	4	∞∑	∞∑	PROPN
ejpam-3676	200	5	i=0	i=0	PROPN
ejpam-3676	200	6	(	(	PUNCT
ejpam-3676	200	7	n	n	NOUN
ejpam-3676	200	8	i	i	PRON
ejpam-3676	200	9	)	)	PUNCT
ejpam-3676	200	10	(	(	PUNCT
ejpam-3676	200	11	yr	yr	AUX
ejpam-3676	200	12	ln	ln	ADJ
ejpam-3676	200	13	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-3676	200	14	...	...	PUNCT
ejpam-3676	200	15	,kr)i	,kr)i	PUNCT
ejpam-3676	200	16	(	(	PUNCT
ejpam-3676	200	17	x	x	NOUN
ejpam-3676	200	18	;	;	PUNCT
ejpam-3676	200	19	a	a	DET
ejpam-3676	200	20	,	,	PUNCT
ejpam-3676	200	21	b	b	NOUN
ejpam-3676	200	22	,	,	PUNCT
ejpam-3676	200	23	c	c	NOUN
ejpam-3676	200	24	)	)	PUNCT
ejpam-3676	200	25	)	)	PUNCT
ejpam-3676	200	26	tn	tn	PROPN
ejpam-3676	200	27	n	n	PROPN
ejpam-3676	200	28	!	!	PUNCT
ejpam-3676	200	29	comparing	compare	VERB
ejpam-3676	200	30	the	the	DET
ejpam-3676	200	31	coefficients	coefficient	NOUN
ejpam-3676	200	32	of	of	ADP
ejpam-3676	200	33	tn	tn	NOUN
ejpam-3676	200	34	n	n	X
ejpam-3676	200	35	!	!	PUNCT
ejpam-3676	200	36	yields	yield	VERB
ejpam-3676	200	37	the	the	DET
ejpam-3676	200	38	desired	desire	VERB
ejpam-3676	200	39	result	result	NOUN
ejpam-3676	200	40	.	.	PUNCT
ejpam-3676	201	1	when	when	SCONJ
ejpam-3676	201	2	y	y	PROPN
ejpam-3676	201	3	=	=	SYM
ejpam-3676	201	4	1	1	NUM
ejpam-3676	201	5	,	,	PUNCT
ejpam-3676	201	6	theorem	theorem	VERB
ejpam-3676	201	7	2.4	2.4	NUM
ejpam-3676	201	8	yields	yield	NOUN
ejpam-3676	201	9	the	the	DET
ejpam-3676	201	10	following	follow	VERB
ejpam-3676	201	11	recurrence	recurrence	NOUN
ejpam-3676	201	12	relation	relation	PROPN
ejpam-3676	201	13	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	201	14	...	...	PUNCT
ejpam-3676	201	15	,kr)n	,kr)n	PUNCT
ejpam-3676	201	16	(	(	PUNCT
ejpam-3676	201	17	x+	x+	PROPN
ejpam-3676	201	18	1	1	NUM
ejpam-3676	201	19	;	;	PUNCT
ejpam-3676	201	20	a	a	DET
ejpam-3676	201	21	,	,	PUNCT
ejpam-3676	201	22	b	b	NOUN
ejpam-3676	201	23	,	,	PUNCT
ejpam-3676	201	24	c	c	NOUN
ejpam-3676	201	25	)	)	PUNCT
ejpam-3676	201	26	=	=	SYM
ejpam-3676	202	1	n∑	n∑	PROPN
ejpam-3676	202	2	m=0	m=0	PROPN
ejpam-3676	202	3	(	(	PUNCT
ejpam-3676	202	4	n	n	NOUN
ejpam-3676	202	5	m	m	VERB
ejpam-3676	202	6	)	)	PUNCT
ejpam-3676	203	1	(	(	PUNCT
ejpam-3676	203	2	r	r	X
ejpam-3676	203	3	ln	ln	ADJ
ejpam-3676	203	4	c)mg(k1,k2,	c)mg(k1,k2,	PROPN
ejpam-3676	203	5	...	...	PUNCT
ejpam-3676	203	6	,kr)n−m	,kr)n−m	PUNCT
ejpam-3676	203	7	(	(	PUNCT
ejpam-3676	203	8	x	x	X
ejpam-3676	203	9	;	;	PUNCT
ejpam-3676	203	10	a	a	DET
ejpam-3676	203	11	,	,	PUNCT
ejpam-3676	203	12	b	b	NOUN
ejpam-3676	203	13	,	,	PUNCT
ejpam-3676	203	14	c	c	NOUN
ejpam-3676	203	15	)	)	PUNCT
ejpam-3676	203	16	.	.	PUNCT
ejpam-3676	204	1	(	(	PUNCT
ejpam-3676	204	2	31	31	NUM
ejpam-3676	204	3	)	)	PUNCT
ejpam-3676	204	4	the	the	DET
ejpam-3676	204	5	following	follow	VERB
ejpam-3676	204	6	corollary	corollary	NOUN
ejpam-3676	204	7	immediately	immediately	ADV
ejpam-3676	204	8	follows	follow	VERB
ejpam-3676	204	9	from	from	ADP
ejpam-3676	204	10	equation	equation	NOUN
ejpam-3676	204	11	(	(	PUNCT
ejpam-3676	204	12	36	36	NUM
ejpam-3676	204	13	)	)	PUNCT
ejpam-3676	204	14	and	and	CCONJ
ejpam-3676	204	15	the	the	DET
ejpam-3676	204	16	characterization	characterization	NOUN
ejpam-3676	204	17	of	of	ADP
ejpam-3676	204	18	appell	appell	ADJ
ejpam-3676	204	19	polynomials	polynomial	NOUN
ejpam-3676	204	20	[	[	X
ejpam-3676	204	21	14	14	NUM
ejpam-3676	204	22	,	,	PUNCT
ejpam-3676	204	23	25	25	NUM
ejpam-3676	204	24	,	,	PUNCT
ejpam-3676	204	25	28	28	NUM
ejpam-3676	204	26	]	]	PUNCT
ejpam-3676	204	27	.	.	PUNCT
ejpam-3676	205	1	corollary	corollary	ADJ
ejpam-3676	205	2	2.5	2.5	NUM
ejpam-3676	205	3	.	.	PUNCT
ejpam-3676	206	1	the	the	DET
ejpam-3676	206	2	generalized	generalize	VERB
ejpam-3676	206	3	poly	poly	ADJ
ejpam-3676	206	4	-	-	PUNCT
ejpam-3676	206	5	genocchi	genocchi	NOUN
ejpam-3676	206	6	polynomials	polynomial	NOUN
ejpam-3676	206	7	satisfy	satisfy	VERB
ejpam-3676	206	8	the	the	DET
ejpam-3676	206	9	following	follow	VERB
ejpam-3676	206	10	addition	addition	NOUN
ejpam-3676	206	11	formula	formula	NOUN
ejpam-3676	206	12	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	206	13	...	...	PUNCT
ejpam-3676	206	14	,kr)n	,kr)n	PUNCT
ejpam-3676	206	15	(	(	PUNCT
ejpam-3676	206	16	x+	x+	PROPN
ejpam-3676	206	17	y	y	NOUN
ejpam-3676	206	18	;	;	PUNCT
ejpam-3676	206	19	a	a	DET
ejpam-3676	206	20	,	,	PUNCT
ejpam-3676	206	21	b	b	NOUN
ejpam-3676	206	22	,	,	PUNCT
ejpam-3676	206	23	e1	e1	NOUN
ejpam-3676	206	24	/	/	SYM
ejpam-3676	206	25	r	r	NOUN
ejpam-3676	206	26	)	)	PUNCT
ejpam-3676	206	27	=	=	NOUN
ejpam-3676	207	1	∞∑	∞∑	NUM
ejpam-3676	207	2	i=0	i=0	PROPN
ejpam-3676	207	3	(	(	PUNCT
ejpam-3676	207	4	n	n	X
ejpam-3676	207	5	i	i	PRON
ejpam-3676	207	6	)	)	PUNCT
ejpam-3676	207	7	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	207	8	...	...	PUNCT
ejpam-3676	207	9	,kr)i	,kr)i	PUNCT
ejpam-3676	207	10	(	(	PUNCT
ejpam-3676	207	11	x	x	NOUN
ejpam-3676	207	12	;	;	PUNCT
ejpam-3676	207	13	a	a	DET
ejpam-3676	207	14	,	,	PUNCT
ejpam-3676	207	15	b	b	NOUN
ejpam-3676	207	16	,	,	PUNCT
ejpam-3676	207	17	e1	e1	NOUN
ejpam-3676	207	18	/	/	SYM
ejpam-3676	207	19	r)yn−i	r)yn−i	NOUN
ejpam-3676	207	20	.	.	PUNCT
ejpam-3676	208	1	(	(	PUNCT
ejpam-3676	208	2	32	32	NUM
ejpam-3676	208	3	)	)	PUNCT
ejpam-3676	208	4	taking	take	VERB
ejpam-3676	208	5	x	x	PUNCT
ejpam-3676	208	6	=	=	SYM
ejpam-3676	208	7	0	0	NUM
ejpam-3676	208	8	in	in	ADP
ejpam-3676	208	9	formula	formula	NOUN
ejpam-3676	208	10	(	(	PUNCT
ejpam-3676	208	11	32	32	NUM
ejpam-3676	208	12	)	)	PUNCT
ejpam-3676	208	13	and	and	CCONJ
ejpam-3676	208	14	using	use	VERB
ejpam-3676	208	15	the	the	DET
ejpam-3676	208	16	fact	fact	NOUN
ejpam-3676	208	17	g(k)n	g(k)n	PROPN
ejpam-3676	208	18	(	(	PUNCT
ejpam-3676	208	19	0	0	NUM
ejpam-3676	208	20	;	;	PUNCT
ejpam-3676	208	21	a	a	DET
ejpam-3676	208	22	,	,	PUNCT
ejpam-3676	208	23	b	b	NOUN
ejpam-3676	208	24	,	,	PUNCT
ejpam-3676	208	25	c	c	NOUN
ejpam-3676	208	26	)	)	PUNCT
ejpam-3676	209	1	=	=	SYM
ejpam-3676	209	2	g(k)n	g(k)n	PROPN
ejpam-3676	209	3	(	(	PUNCT
ejpam-3676	209	4	a	a	DET
ejpam-3676	209	5	,	,	PUNCT
ejpam-3676	209	6	b	b	NOUN
ejpam-3676	209	7	)	)	PUNCT
ejpam-3676	209	8	,	,	PUNCT
ejpam-3676	209	9	theorem	theorem	VERB
ejpam-3676	209	10	2.4	2.4	NUM
ejpam-3676	209	11	gives	give	NOUN
ejpam-3676	209	12	formula	formula	NOUN
ejpam-3676	209	13	(	(	PUNCT
ejpam-3676	209	14	28	28	NUM
ejpam-3676	209	15	)	)	PUNCT
ejpam-3676	209	16	.	.	PUNCT
ejpam-3676	210	1	the	the	DET
ejpam-3676	210	2	next	next	ADJ
ejpam-3676	210	3	theorem	theorem	NOUN
ejpam-3676	210	4	contains	contain	VERB
ejpam-3676	210	5	an	an	DET
ejpam-3676	210	6	expression	expression	NOUN
ejpam-3676	210	7	of	of	ADP
ejpam-3676	210	8	generalized	generalized	ADJ
ejpam-3676	210	9	poly	poly	ADJ
ejpam-3676	210	10	-	-	PUNCT
ejpam-3676	210	11	genocchi	genocchi	NOUN
ejpam-3676	210	12	polynomials	polynomial	NOUN
ejpam-3676	210	13	in	in	ADP
ejpam-3676	210	14	terms	term	NOUN
ejpam-3676	210	15	of	of	ADP
ejpam-3676	210	16	multiple	multiple	ADJ
ejpam-3676	210	17	parameters	parameter	NOUN
ejpam-3676	210	18	poly	poly	ADJ
ejpam-3676	210	19	-	-	PUNCT
ejpam-3676	210	20	bernoulli	bernoulli	NOUN
ejpam-3676	210	21	polynomials	polynomial	NOUN
ejpam-3676	210	22	.	.	PUNCT
ejpam-3676	211	1	theorem	theorem	VERB
ejpam-3676	211	2	2.6	2.6	NUM
ejpam-3676	211	3	.	.	PUNCT
ejpam-3676	212	1	the	the	PRON
ejpam-3676	212	2	of	of	ADP
ejpam-3676	212	3	generalized	generalized	ADJ
ejpam-3676	212	4	poly	poly	ADJ
ejpam-3676	212	5	-	-	PUNCT
ejpam-3676	212	6	genocchi	genocchi	NOUN
ejpam-3676	212	7	polynomials	polynomial	NOUN
ejpam-3676	212	8	satisfy	satisfy	VERB
ejpam-3676	212	9	the	the	DET
ejpam-3676	212	10	relation	relation	NOUN
ejpam-3676	212	11	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	212	12	...	...	PUNCT
ejpam-3676	212	13	,kr)n	,kr)n	PUNCT
ejpam-3676	212	14	(	(	PUNCT
ejpam-3676	212	15	x	x	NOUN
ejpam-3676	212	16	;	;	PUNCT
ejpam-3676	212	17	a	a	DET
ejpam-3676	212	18	,	,	PUNCT
ejpam-3676	212	19	b	b	NOUN
ejpam-3676	212	20	,	,	PUNCT
ejpam-3676	212	21	c	c	NOUN
ejpam-3676	212	22	)	)	PUNCT
ejpam-3676	212	23	=	=	SYM
ejpam-3676	213	1	r∑	r∑	NOUN
ejpam-3676	213	2	m=0	m=0	PROPN
ejpam-3676	214	1	(	(	PUNCT
ejpam-3676	214	2	r	r	NOUN
ejpam-3676	214	3	m	m	NOUN
ejpam-3676	214	4	)	)	PUNCT
ejpam-3676	214	5	(	(	PUNCT
ejpam-3676	214	6	−1)mb(k1,k2,	−1)mb(k1,k2,	PROPN
ejpam-3676	214	7	...	...	SYM
ejpam-3676	214	8	,kr	,kr	SYM
ejpam-3676	214	9	)	)	PUNCT
ejpam-3676	214	10	n	n	CCONJ
ejpam-3676	214	11	(	(	PUNCT
ejpam-3676	214	12	rx	rx	VERB
ejpam-3676	214	13	ln	ln	ADJ
ejpam-3676	214	14	c+	c+	NOUN
ejpam-3676	214	15	(	(	PUNCT
ejpam-3676	214	16	r	r	NOUN
ejpam-3676	214	17	+	+	NOUN
ejpam-3676	214	18	m	m	NOUN
ejpam-3676	214	19	)	)	PUNCT
ejpam-3676	214	20	ln	ln	ADP
ejpam-3676	214	21	a+m	a+m	NUM
ejpam-3676	214	22	ln	ln	NOUN
ejpam-3676	214	23	b	b	PROPN
ejpam-3676	214	24	2(ln	2(ln	NUM
ejpam-3676	214	25	a+	a+	PUNCT
ejpam-3676	214	26	ln	ln	PROPN
ejpam-3676	214	27	b	b	NOUN
ejpam-3676	214	28	)	)	PUNCT
ejpam-3676	214	29	)	)	PUNCT
ejpam-3676	214	30	(	(	PUNCT
ejpam-3676	214	31	2	2	NUM
ejpam-3676	214	32	ln	ln	PROPN
ejpam-3676	214	33	ab)n	ab)n	PROPN
ejpam-3676	214	34	.	.	PUNCT
ejpam-3676	215	1	(	(	PUNCT
ejpam-3676	215	2	33	33	NUM
ejpam-3676	215	3	)	)	PUNCT
ejpam-3676	215	4	proof	proof	NOUN
ejpam-3676	215	5	.	.	PUNCT
ejpam-3676	216	1	we	we	PRON
ejpam-3676	216	2	can	can	AUX
ejpam-3676	216	3	rewrite	rewrite	VERB
ejpam-3676	216	4	equation	equation	NOUN
ejpam-3676	216	5	(	(	PUNCT
ejpam-3676	216	6	24	24	NUM
ejpam-3676	216	7	)	)	PUNCT
ejpam-3676	216	8	as	as	ADP
ejpam-3676	216	9	∞∑	∞∑	NUM
ejpam-3676	216	10	n=0	n=0	NUM
ejpam-3676	216	11	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	216	12	...	...	PUNCT
ejpam-3676	216	13	,kr)n	,kr)n	PUNCT
ejpam-3676	216	14	(	(	PUNCT
ejpam-3676	216	15	x	x	NOUN
ejpam-3676	216	16	;	;	PUNCT
ejpam-3676	216	17	a	a	DET
ejpam-3676	216	18	,	,	PUNCT
ejpam-3676	216	19	b	b	NOUN
ejpam-3676	216	20	,	,	PUNCT
ejpam-3676	216	21	c	c	NOUN
ejpam-3676	216	22	)	)	PUNCT
ejpam-3676	216	23	tn	tn	PROPN
ejpam-3676	216	24	n	n	NOUN
ejpam-3676	216	25	!	!	PUNCT
ejpam-3676	217	1	=	=	PUNCT
ejpam-3676	217	2	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	217	3	...	...	PUNCT
ejpam-3676	217	4	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	217	5	(	(	PUNCT
ejpam-3676	217	6	ab)−2	ab)−2	NOUN
ejpam-3676	217	7	t	t	NOUN
ejpam-3676	217	8	)	)	PUNCT
ejpam-3676	217	9	(	(	PUNCT
ejpam-3676	217	10	1−	1−	NUM
ejpam-3676	217	11	(	(	PUNCT
ejpam-3676	217	12	ab)2t)r	ab)2t)r	PROPN
ejpam-3676	217	13	(	(	PUNCT
ejpam-3676	217	14	e−t	e−t	X
ejpam-3676	217	15	ln	ln	NOUN
ejpam-3676	217	16	a−et	a−et	PROPN
ejpam-3676	217	17	ln	ln	PROPN
ejpam-3676	217	18	b)rerxt	b)rerxt	PROPN
ejpam-3676	217	19	ln	ln	PROPN
ejpam-3676	217	20	ce2rt	ce2rt	PROPN
ejpam-3676	217	21	ln	ln	ADP
ejpam-3676	217	22	a	a	DET
ejpam-3676	217	23	=	=	ADJ
ejpam-3676	217	24	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	217	25	...	...	PUNCT
ejpam-3676	217	26	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	217	27	e−2t(ln	e−2t(ln	PROPN
ejpam-3676	217	28	ab	ab	PROPN
ejpam-3676	217	29	)	)	PUNCT
ejpam-3676	217	30	)	)	PUNCT
ejpam-3676	217	31	(	(	PUNCT
ejpam-3676	217	32	−1)r(e2	−1)r(e2	PROPN
ejpam-3676	217	33	t	t	PROPN
ejpam-3676	217	34	ln(ab	ln(ab	PROPN
ejpam-3676	217	35	)	)	PUNCT
ejpam-3676	218	1	−	−	PROPN
ejpam-3676	218	2	1)r	1)r	ADJ
ejpam-3676	218	3	r∑	r∑	X
ejpam-3676	218	4	m=0	m=0	PROPN
ejpam-3676	218	5	(	(	PUNCT
ejpam-3676	218	6	r	r	NOUN
ejpam-3676	218	7	m	m	NOUN
ejpam-3676	218	8	)	)	PUNCT
ejpam-3676	218	9	(	(	PUNCT
ejpam-3676	218	10	−1)me(r−m)t(−	−1)me(r−m)t(−	NOUN
ejpam-3676	218	11	ln	ln	X
ejpam-3676	218	12	a+x	a+x	ADP
ejpam-3676	218	13	ln	ln	NOUN
ejpam-3676	218	14	c+2	c+2	PROPN
ejpam-3676	218	15	ln	ln	NOUN
ejpam-3676	218	16	a)emt(ln	a)emt(ln	PROPN
ejpam-3676	218	17	b+x	b+x	NUM
ejpam-3676	218	18	ln	ln	ADV
ejpam-3676	219	1	c+2	c+2	PROPN
ejpam-3676	219	2	ln	ln	NOUN
ejpam-3676	219	3	a	a	PROPN
ejpam-3676	219	4	)	)	PUNCT
ejpam-3676	219	5	r.	r.	PROPN
ejpam-3676	219	6	corcino	corcino	PROPN
ejpam-3676	219	7	,	,	PUNCT
ejpam-3676	219	8	m.	m.	NOUN
ejpam-3676	219	9	laurente	laurente	PROPN
ejpam-3676	219	10	,	,	PUNCT
ejpam-3676	219	11	mar	mar	PROPN
ejpam-3676	219	12	.	.	PROPN
ejpam-3676	219	13	vega	vega	PROPN
ejpam-3676	219	14	/	/	SYM
ejpam-3676	219	15	eur	eur	PROPN
ejpam-3676	219	16	.	.	PUNCT
ejpam-3676	220	1	j.	j.	PROPN
ejpam-3676	220	2	pure	pure	PROPN
ejpam-3676	220	3	appl	appl	PROPN
ejpam-3676	220	4	.	.	PROPN
ejpam-3676	220	5	math	math	PROPN
ejpam-3676	220	6	,	,	PUNCT
ejpam-3676	220	7	13	13	NUM
ejpam-3676	220	8	(	(	PUNCT
ejpam-3676	220	9	3	3	NUM
ejpam-3676	220	10	)	)	PUNCT
ejpam-3676	220	11	(	(	PUNCT
ejpam-3676	220	12	2020	2020	NUM
ejpam-3676	220	13	)	)	PUNCT
ejpam-3676	220	14	,	,	PUNCT
ejpam-3676	220	15	444	444	NUM
ejpam-3676	220	16	-	-	SYM
ejpam-3676	220	17	458	458	NUM
ejpam-3676	220	18	453	453	NUM
ejpam-3676	220	19	=	=	PUNCT
ejpam-3676	220	20	r∑	r∑	X
ejpam-3676	220	21	m=0	m=0	PROPN
ejpam-3676	221	1	(	(	PUNCT
ejpam-3676	221	2	r	r	NOUN
ejpam-3676	221	3	m	m	NOUN
ejpam-3676	221	4	)	)	PUNCT
ejpam-3676	222	1	(	(	PUNCT
ejpam-3676	222	2	−1)m	−1)m	PROPN
ejpam-3676	222	3	li(k1,k2,	li(k1,k2,	NOUN
ejpam-3676	222	4	...	...	PUNCT
ejpam-3676	222	5	,kr)(1−	,kr)(1−	PUNCT
ejpam-3676	222	6	e−2t(ln	e−2t(ln	PROPN
ejpam-3676	222	7	ab	ab	PROPN
ejpam-3676	222	8	)	)	PUNCT
ejpam-3676	222	9	)	)	PUNCT
ejpam-3676	222	10	(	(	PUNCT
ejpam-3676	222	11	−1)r(e2	−1)r(e2	PROPN
ejpam-3676	222	12	t	t	PROPN
ejpam-3676	222	13	ln(ab	ln(ab	PROPN
ejpam-3676	222	14	)	)	PUNCT
ejpam-3676	222	15	−	−	PROPN
ejpam-3676	223	1	1)r	1)r	NUM
ejpam-3676	223	2	e((rx	e((rx	PROPN
ejpam-3676	223	3	ln	ln	ADJ
ejpam-3676	223	4	c+(r+m	c+(r+m	PROPN
ejpam-3676	223	5	)	)	PUNCT
ejpam-3676	223	6	ln	ln	NOUN
ejpam-3676	223	7	a+m	a+m	NUM
ejpam-3676	223	8	ln	ln	ADJ
ejpam-3676	223	9	b)/2	b)/2	PROPN
ejpam-3676	223	10	ln	ln	NOUN
ejpam-3676	223	11	ab)(2	ab)(2	PROPN
ejpam-3676	223	12	t	t	PROPN
ejpam-3676	223	13	ln	ln	PROPN
ejpam-3676	223	14	ab	ab	PROPN
ejpam-3676	223	15	)	)	PUNCT
ejpam-3676	223	16	.	.	PUNCT
ejpam-3676	224	1	using	use	VERB
ejpam-3676	224	2	the	the	DET
ejpam-3676	224	3	definition	definition	NOUN
ejpam-3676	224	4	of	of	ADP
ejpam-3676	224	5	poly	poly	ADJ
ejpam-3676	224	6	-	-	PUNCT
ejpam-3676	224	7	bernoulli	bernoulli	NOUN
ejpam-3676	224	8	polynomials	polynomial	NOUN
ejpam-3676	224	9	,	,	PUNCT
ejpam-3676	224	10	we	we	PRON
ejpam-3676	224	11	have	have	VERB
ejpam-3676	224	12	∞∑	∞∑	NUM
ejpam-3676	224	13	n=0	n=0	X
ejpam-3676	224	14	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	224	15	...	...	PUNCT
ejpam-3676	224	16	,kr)n	,kr)n	PUNCT
ejpam-3676	224	17	(	(	PUNCT
ejpam-3676	224	18	x	x	NOUN
ejpam-3676	224	19	;	;	PUNCT
ejpam-3676	224	20	a	a	DET
ejpam-3676	224	21	,	,	PUNCT
ejpam-3676	224	22	b	b	NOUN
ejpam-3676	224	23	,	,	PUNCT
ejpam-3676	224	24	c	c	NOUN
ejpam-3676	224	25	)	)	PUNCT
ejpam-3676	224	26	tn	tn	PROPN
ejpam-3676	224	27	n	n	CCONJ
ejpam-3676	224	28	!	!	PUNCT
ejpam-3676	225	1	=	=	NOUN
ejpam-3676	226	1	∞∑	∞∑	PRON
ejpam-3676	226	2	n=0	n=0	PRON
ejpam-3676	226	3	{	{	PUNCT
ejpam-3676	226	4	r∑	r∑	NOUN
ejpam-3676	226	5	m=0	m=0	PROPN
ejpam-3676	227	1	(	(	PUNCT
ejpam-3676	227	2	r	r	NOUN
ejpam-3676	227	3	m	m	NOUN
ejpam-3676	227	4	)	)	PUNCT
ejpam-3676	227	5	(	(	PUNCT
ejpam-3676	227	6	−1)mb(k1,k2,	−1)mb(k1,k2,	PROPN
ejpam-3676	227	7	...	...	SYM
ejpam-3676	227	8	,kr	,kr	SYM
ejpam-3676	227	9	)	)	PUNCT
ejpam-3676	227	10	n	n	CCONJ
ejpam-3676	227	11	(	(	PUNCT
ejpam-3676	227	12	rx	rx	VERB
ejpam-3676	227	13	ln	ln	ADJ
ejpam-3676	227	14	c+	c+	NOUN
ejpam-3676	227	15	(	(	PUNCT
ejpam-3676	227	16	r	r	NOUN
ejpam-3676	227	17	+	+	NOUN
ejpam-3676	227	18	m	m	NOUN
ejpam-3676	227	19	)	)	PUNCT
ejpam-3676	227	20	ln	ln	ADP
ejpam-3676	227	21	a+m	a+m	NUM
ejpam-3676	227	22	ln	ln	NOUN
ejpam-3676	227	23	b	b	PROPN
ejpam-3676	227	24	2(ln	2(ln	NUM
ejpam-3676	227	25	a+	a+	PUNCT
ejpam-3676	227	26	ln	ln	PROPN
ejpam-3676	227	27	b	b	NOUN
ejpam-3676	227	28	)	)	PUNCT
ejpam-3676	227	29	)	)	PUNCT
ejpam-3676	227	30	2n(ln	2n(ln	NUM
ejpam-3676	227	31	a+	a+	PUNCT
ejpam-3676	227	32	ln	ln	ADJ
ejpam-3676	227	33	b)n	b)n	ADJ
ejpam-3676	227	34	}	}	PUNCT
ejpam-3676	227	35	tn	tn	PROPN
ejpam-3676	227	36	n	n	X
ejpam-3676	227	37	!	!	PUNCT
ejpam-3676	227	38	.	.	PUNCT
ejpam-3676	228	1	comparing	compare	VERB
ejpam-3676	228	2	the	the	DET
ejpam-3676	228	3	coefficients	coefficient	NOUN
ejpam-3676	228	4	of	of	ADP
ejpam-3676	228	5	tn	tn	NOUN
ejpam-3676	228	6	n	n	X
ejpam-3676	228	7	!	!	PUNCT
ejpam-3676	229	1	yields	yield	NOUN
ejpam-3676	229	2	(	(	PUNCT
ejpam-3676	229	3	33	33	NUM
ejpam-3676	229	4	)	)	PUNCT
ejpam-3676	229	5	.	.	PUNCT
ejpam-3676	230	1	the	the	DET
ejpam-3676	230	2	next	next	ADJ
ejpam-3676	230	3	two	two	NUM
ejpam-3676	230	4	theorems	theorem	NOUN
ejpam-3676	230	5	are	be	AUX
ejpam-3676	230	6	given	give	VERB
ejpam-3676	230	7	without	without	ADP
ejpam-3676	230	8	proof	proof	NOUN
ejpam-3676	230	9	since	since	SCONJ
ejpam-3676	230	10	it	it	PRON
ejpam-3676	230	11	follows	follow	VERB
ejpam-3676	230	12	from	from	ADP
ejpam-3676	230	13	[	[	X
ejpam-3676	230	14	16	16	NUM
ejpam-3676	230	15	,	,	PUNCT
ejpam-3676	230	16	theorem	theorem	VERB
ejpam-3676	230	17	3.4	3.4	NUM
ejpam-3676	230	18	and	and	CCONJ
ejpam-3676	230	19	theorem	theorem	VERB
ejpam-3676	230	20	2.6	2.6	NUM
ejpam-3676	230	21	]	]	PUNCT
ejpam-3676	230	22	.	.	PUNCT
ejpam-3676	231	1	theorem	theorem	ADJ
ejpam-3676	231	2	2.7	2.7	NUM
ejpam-3676	231	3	.	.	PUNCT
ejpam-3676	232	1	the	the	DET
ejpam-3676	232	2	generalized	generalize	VERB
ejpam-3676	232	3	multi	multi	ADJ
ejpam-3676	232	4	-	-	ADJ
ejpam-3676	232	5	poly	poly	ADJ
ejpam-3676	232	6	-	-	PUNCT
ejpam-3676	232	7	genocchi	genocchi	NOUN
ejpam-3676	232	8	polynomials	polynomial	NOUN
ejpam-3676	232	9	have	have	VERB
ejpam-3676	232	10	the	the	DET
ejpam-3676	232	11	following	follow	VERB
ejpam-3676	232	12	explicit	explicit	ADJ
ejpam-3676	232	13	formula	formula	NOUN
ejpam-3676	232	14	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	232	15	...	...	PUNCT
ejpam-3676	232	16	,kr)n	,kr)n	SYM
ejpam-3676	232	17	(	(	PUNCT
ejpam-3676	232	18	x	x	NOUN
ejpam-3676	232	19	;	;	PUNCT
ejpam-3676	232	20	a	a	DET
ejpam-3676	232	21	,	,	PUNCT
ejpam-3676	232	22	b	b	NOUN
ejpam-3676	232	23	,	,	PUNCT
ejpam-3676	232	24	c	c	NOUN
ejpam-3676	232	25	)	)	PUNCT
ejpam-3676	232	26	=	=	SYM
ejpam-3676	232	27	n∑	n∑	PROPN
ejpam-3676	232	28	i=0	i=0	PROPN
ejpam-3676	232	29	∑	∑	PUNCT
ejpam-3676	232	30	0≤m1≤m2≤···≤mr	0≤m1≤m2≤···≤mr	NUM
ejpam-3676	232	31	c1+c2+···=r	c1+c2+···=r	PROPN
ejpam-3676	232	32	mr∑	mr∑	PROPN
ejpam-3676	232	33	j=0	j=0	PROPN
ejpam-3676	232	34	(	(	PUNCT
ejpam-3676	232	35	rx	rx	VERB
ejpam-3676	232	36	ln	ln	ADJ
ejpam-3676	232	37	c−	c−	ADJ
ejpam-3676	232	38	2j	2j	NUM
ejpam-3676	232	39	ln	ln	ADJ
ejpam-3676	232	40	ab)n−ir!(−1)j+s(s	ab)n−ir!(−1)j+s(s	PROPN
ejpam-3676	232	41	ln	ln	NOUN
ejpam-3676	232	42	ab+	ab+	NOUN
ejpam-3676	232	43	r	r	NOUN
ejpam-3676	232	44	ln	ln	NOUN
ejpam-3676	232	45	a)i	a)i	NOUN
ejpam-3676	233	1	(	(	PUNCT
ejpam-3676	233	2	mr	mr	PROPN
ejpam-3676	233	3	j	j	PROPN
ejpam-3676	233	4	)	)	PUNCT
ejpam-3676	233	5	(	(	PUNCT
ejpam-3676	233	6	n	n	CCONJ
ejpam-3676	233	7	j	j	NOUN
ejpam-3676	233	8	)	)	PUNCT
ejpam-3676	233	9	(	(	PUNCT
ejpam-3676	233	10	c1!c2	c1!c2	NOUN
ejpam-3676	233	11	!	!	PUNCT
ejpam-3676	233	12	·	·	PUNCT
ejpam-3676	233	13	·	·	PUNCT
ejpam-3676	233	14	·	·	PUNCT
ejpam-3676	233	15	)	)	PUNCT
ejpam-3676	233	16	(	(	PUNCT
ejpam-3676	233	17	mk1	mk1	NOUN
ejpam-3676	233	18	1	1	NUM
ejpam-3676	233	19	m	m	NOUN
ejpam-3676	233	20	k2	k2	PROPN
ejpam-3676	233	21	2	2	NUM
ejpam-3676	233	22	·	·	PUNCT
ejpam-3676	233	23	·	·	PUNCT
ejpam-3676	233	24	·	·	PUNCT
ejpam-3676	233	25	m	m	PROPN
ejpam-3676	233	26	kr	kr	PROPN
ejpam-3676	233	27	k	k	PROPN
ejpam-3676	233	28	)	)	PUNCT
ejpam-3676	233	29	(	(	PUNCT
ejpam-3676	233	30	34	34	NUM
ejpam-3676	233	31	)	)	PUNCT
ejpam-3676	233	32	where	where	SCONJ
ejpam-3676	233	33	s	s	NOUN
ejpam-3676	233	34	=	=	PROPN
ejpam-3676	233	35	c1	c1	PROPN
ejpam-3676	233	36	+	+	CCONJ
ejpam-3676	233	37	2c2	2c2	NUM
ejpam-3676	233	38	+	+	CCONJ
ejpam-3676	233	39	·	·	PUNCT
ejpam-3676	233	40	·	·	PUNCT
ejpam-3676	233	41	·	·	PUNCT
ejpam-3676	233	42	theorem	theorem	VERB
ejpam-3676	233	43	2.8	2.8	NUM
ejpam-3676	233	44	.	.	PUNCT
ejpam-3676	234	1	the	the	DET
ejpam-3676	234	2	generalized	generalize	VERB
ejpam-3676	234	3	poly	poly	ADJ
ejpam-3676	234	4	-	-	PUNCT
ejpam-3676	234	5	genocchi	genocchi	NOUN
ejpam-3676	234	6	polynomials	polynomial	NOUN
ejpam-3676	234	7	g(k1,k2,	g(k1,k2,	ADJ
ejpam-3676	234	8	...	...	PUNCT
ejpam-3676	234	9	,kr)n	,kr)n	PUNCT
ejpam-3676	234	10	(	(	PUNCT
ejpam-3676	234	11	x	x	NOUN
ejpam-3676	234	12	;	;	PUNCT
ejpam-3676	234	13	a	a	DET
ejpam-3676	234	14	,	,	PUNCT
ejpam-3676	234	15	b	b	NOUN
ejpam-3676	234	16	)	)	PUNCT
ejpam-3676	234	17	satisfy	satisfy	VERB
ejpam-3676	234	18	the	the	DET
ejpam-3676	234	19	following	follow	VERB
ejpam-3676	234	20	explicit	explicit	ADJ
ejpam-3676	234	21	formulas	formula	NOUN
ejpam-3676	234	22	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	234	23	...	...	PUNCT
ejpam-3676	234	24	,kr)n	,kr)n	SYM
ejpam-3676	234	25	(	(	PUNCT
ejpam-3676	234	26	x	x	NOUN
ejpam-3676	234	27	;	;	PUNCT
ejpam-3676	234	28	a	a	DET
ejpam-3676	234	29	,	,	PUNCT
ejpam-3676	234	30	b	b	NOUN
ejpam-3676	234	31	,	,	PUNCT
ejpam-3676	234	32	c	c	NOUN
ejpam-3676	234	33	)	)	PUNCT
ejpam-3676	234	34	=	=	SYM
ejpam-3676	235	1	∞∑	∞∑	NUM
ejpam-3676	235	2	m=0	m=0	PROPN
ejpam-3676	235	3	n∑	n∑	PROPN
ejpam-3676	235	4	l	l	PROPN
ejpam-3676	235	5	=	=	NOUN
ejpam-3676	235	6	m	m	NOUN
ejpam-3676	235	7	{	{	PUNCT
ejpam-3676	235	8	l	l	NOUN
ejpam-3676	235	9	m	m	VERB
ejpam-3676	235	10	}	}	PUNCT
ejpam-3676	235	11	(	(	PUNCT
ejpam-3676	235	12	n	n	X
ejpam-3676	235	13	l	l	NOUN
ejpam-3676	235	14	)	)	PUNCT
ejpam-3676	235	15	(	(	PUNCT
ejpam-3676	235	16	ln	ln	X
ejpam-3676	235	17	c)lg(k1,k2,	c)lg(k1,k2,	PROPN
ejpam-3676	235	18	...	...	PUNCT
ejpam-3676	235	19	,kr)n−l	,kr)n−l	PUNCT
ejpam-3676	235	20	(	(	PUNCT
ejpam-3676	235	21	−m	−m	INTJ
ejpam-3676	235	22	ln	ln	NOUN
ejpam-3676	235	23	c	c	NOUN
ejpam-3676	235	24	;	;	PUNCT
ejpam-3676	235	25	a	a	DET
ejpam-3676	235	26	,	,	PUNCT
ejpam-3676	235	27	b)(x)(m	b)(x)(m	PROPN
ejpam-3676	235	28	)	)	PUNCT
ejpam-3676	235	29	(	(	PUNCT
ejpam-3676	235	30	35	35	NUM
ejpam-3676	235	31	)	)	PUNCT
ejpam-3676	235	32	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	235	33	...	...	PUNCT
ejpam-3676	235	34	,kr)n	,kr)n	PUNCT
ejpam-3676	235	35	(	(	PUNCT
ejpam-3676	235	36	x	x	NOUN
ejpam-3676	235	37	;	;	PUNCT
ejpam-3676	235	38	a	a	DET
ejpam-3676	235	39	,	,	PUNCT
ejpam-3676	235	40	b	b	NOUN
ejpam-3676	235	41	,	,	PUNCT
ejpam-3676	235	42	c	c	NOUN
ejpam-3676	235	43	)	)	PUNCT
ejpam-3676	235	44	=	=	SYM
ejpam-3676	235	45	∞∑	∞∑	NUM
ejpam-3676	235	46	m=0	m=0	PROPN
ejpam-3676	235	47	n∑	n∑	PROPN
ejpam-3676	235	48	l	l	PROPN
ejpam-3676	235	49	=	=	NOUN
ejpam-3676	235	50	m	m	NOUN
ejpam-3676	235	51	{	{	PUNCT
ejpam-3676	235	52	l	l	NOUN
ejpam-3676	235	53	m	m	VERB
ejpam-3676	235	54	}	}	PUNCT
ejpam-3676	235	55	(	(	PUNCT
ejpam-3676	235	56	n	n	X
ejpam-3676	235	57	l	l	NOUN
ejpam-3676	235	58	)	)	PUNCT
ejpam-3676	235	59	(	(	PUNCT
ejpam-3676	235	60	ln	ln	X
ejpam-3676	235	61	c)lg(k1,k2,	c)lg(k1,k2,	PROPN
ejpam-3676	235	62	...	...	PUNCT
ejpam-3676	235	63	,kr)n−l	,kr)n−l	PUNCT
ejpam-3676	235	64	(	(	PUNCT
ejpam-3676	235	65	a	a	PRON
ejpam-3676	235	66	,	,	PUNCT
ejpam-3676	235	67	b)(x)m	b)(x)m	X
ejpam-3676	235	68	(	(	PUNCT
ejpam-3676	235	69	36	36	NUM
ejpam-3676	235	70	)	)	PUNCT
ejpam-3676	235	71	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	235	72	...	...	PUNCT
ejpam-3676	235	73	,kr)n	,kr)n	PUNCT
ejpam-3676	235	74	(	(	PUNCT
ejpam-3676	235	75	x	x	NOUN
ejpam-3676	235	76	;	;	PUNCT
ejpam-3676	235	77	a	a	DET
ejpam-3676	235	78	,	,	PUNCT
ejpam-3676	235	79	b	b	NOUN
ejpam-3676	235	80	,	,	PUNCT
ejpam-3676	235	81	c	c	NOUN
ejpam-3676	235	82	)	)	PUNCT
ejpam-3676	235	83	=	=	SYM
ejpam-3676	235	84	n∑	n∑	PROPN
ejpam-3676	235	85	l=0	l=0	PROPN
ejpam-3676	235	86	n−l∑	n−l∑	X
ejpam-3676	235	87	m=0	m=0	PROPN
ejpam-3676	235	88	(	(	PUNCT
ejpam-3676	235	89	n	n	X
ejpam-3676	235	90	l	l	NOUN
ejpam-3676	235	91	)	)	PUNCT
ejpam-3676	235	92	{	{	PUNCT
ejpam-3676	236	1	l	l	NOUN
ejpam-3676	237	1	+	+	SYM
ejpam-3676	237	2	s	s	X
ejpam-3676	237	3	s	s	X
ejpam-3676	237	4	}	}	PUNCT
ejpam-3676	237	5	(	(	PUNCT
ejpam-3676	237	6	n−l	n−l	NOUN
ejpam-3676	237	7	m	m	VERB
ejpam-3676	237	8	)	)	PUNCT
ejpam-3676	237	9	(	(	PUNCT
ejpam-3676	237	10	l+s	l+s	PROPN
ejpam-3676	237	11	s	s	PART
ejpam-3676	237	12	)	)	PUNCT
ejpam-3676	237	13	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	237	14	...	...	PUNCT
ejpam-3676	237	15	,kr)n−l−m	,kr)n−l−m	PUNCT
ejpam-3676	237	16	(	(	PUNCT
ejpam-3676	237	17	a	a	PRON
ejpam-3676	237	18	,	,	PUNCT
ejpam-3676	237	19	b)b(s	b)b(	NOUN
ejpam-3676	237	20	)	)	PUNCT
ejpam-3676	238	1	m	m	VERB
ejpam-3676	238	2	(	(	PUNCT
ejpam-3676	238	3	x	x	PROPN
ejpam-3676	238	4	ln	ln	PROPN
ejpam-3676	238	5	c	c	NOUN
ejpam-3676	238	6	)	)	PUNCT
ejpam-3676	238	7	(	(	PUNCT
ejpam-3676	238	8	37	37	NUM
ejpam-3676	238	9	)	)	PUNCT
ejpam-3676	238	10	g(k1,k2,	g(k1,k2,	NOUN
ejpam-3676	238	11	...	...	PUNCT
ejpam-3676	238	12	,kr)n	,kr)n	PUNCT
ejpam-3676	238	13	(	(	PUNCT
ejpam-3676	238	14	x	x	NOUN
ejpam-3676	238	15	;	;	PUNCT
ejpam-3676	238	16	a	a	DET
ejpam-3676	238	17	,	,	PUNCT
ejpam-3676	238	18	b	b	NOUN
ejpam-3676	238	19	,	,	PUNCT
ejpam-3676	238	20	c	c	NOUN
ejpam-3676	238	21	)	)	PUNCT
ejpam-3676	238	22	=	=	SYM
ejpam-3676	239	1	∞∑	∞∑	NUM
ejpam-3676	239	2	m=0	m=0	PROPN
ejpam-3676	239	3	(	(	PUNCT
ejpam-3676	239	4	n	n	NOUN
ejpam-3676	239	5	m	m	VERB
ejpam-3676	239	6	)	)	PUNCT
ejpam-3676	239	7	(	(	PUNCT
ejpam-3676	239	8	1−	1−	NUM
ejpam-3676	239	9	λ)s	λ)s	X
ejpam-3676	240	1	s∑	s∑	PROPN
ejpam-3676	240	2	j=0	j=0	PROPN
ejpam-3676	240	3	(	(	PUNCT
ejpam-3676	240	4	s	s	PROPN
ejpam-3676	240	5	j	j	PROPN
ejpam-3676	240	6	)	)	PUNCT
ejpam-3676	240	7	(	(	PUNCT
ejpam-3676	240	8	−λ)s−jg(k1,k2,	−λ)s−jg(k1,k2,	NOUN
ejpam-3676	240	9	...	...	PUNCT
ejpam-3676	240	10	,kr)n−m	,kr)n−m	PRON
ejpam-3676	240	11	(	(	PUNCT
ejpam-3676	240	12	j	j	NOUN
ejpam-3676	240	13	;	;	PUNCT
ejpam-3676	240	14	a	a	DET
ejpam-3676	240	15	,	,	PUNCT
ejpam-3676	240	16	b)h(s	b)h(s	PROPN
ejpam-3676	240	17	)	)	PUNCT
ejpam-3676	240	18	m	m	VERB
ejpam-3676	240	19	(	(	PUNCT
ejpam-3676	240	20	x;λ	x;λ	PROPN
ejpam-3676	240	21	)	)	PUNCT
ejpam-3676	240	22	,	,	PUNCT
ejpam-3676	240	23	(	(	PUNCT
ejpam-3676	240	24	38	38	NUM
ejpam-3676	240	25	)	)	PUNCT
ejpam-3676	240	26	where	where	SCONJ
ejpam-3676	240	27	(	(	PUNCT
ejpam-3676	240	28	x)(n	x)(n	NUM
ejpam-3676	240	29	)	)	PUNCT
ejpam-3676	240	30	=	=	PUNCT
ejpam-3676	241	1	x(x+	x(x+	ADJ
ejpam-3676	241	2	1	1	NUM
ejpam-3676	241	3	)	)	PUNCT
ejpam-3676	241	4	·	·	PUNCT
ejpam-3676	241	5	·	·	PUNCT
ejpam-3676	242	1	·	·	PUNCT
ejpam-3676	242	2	(	(	PUNCT
ejpam-3676	242	3	x+	x+	X
ejpam-3676	242	4	n−	n−	NOUN
ejpam-3676	242	5	1	1	NUM
ejpam-3676	242	6	)	)	PUNCT
ejpam-3676	242	7	,	,	PUNCT
ejpam-3676	242	8	(	(	PUNCT
ejpam-3676	242	9	x)n	x)n	PUNCT
ejpam-3676	242	10	=	=	SYM
ejpam-3676	242	11	x(x−	x(x−	PROPN
ejpam-3676	242	12	1	1	NUM
ejpam-3676	242	13	)	)	PUNCT
ejpam-3676	242	14	·	·	PUNCT
ejpam-3676	242	15	·	·	PUNCT
ejpam-3676	242	16	·	·	PUNCT
ejpam-3676	243	1	(	(	PUNCT
ejpam-3676	243	2	x−	x−	PROPN
ejpam-3676	243	3	n+	n+	PROPN
ejpam-3676	243	4	1	1	NUM
ejpam-3676	243	5	)	)	PUNCT
ejpam-3676	243	6	,	,	PUNCT
ejpam-3676	243	7	(	(	PUNCT
ejpam-3676	243	8	t	t	NOUN
ejpam-3676	243	9	et	et	NOUN
ejpam-3676	243	10	−	−	NOUN
ejpam-3676	243	11	1	1	NUM
ejpam-3676	243	12	)	)	PUNCT
ejpam-3676	243	13	s	s	PART
ejpam-3676	243	14	ext	ext	NOUN
ejpam-3676	243	15	=	=	NOUN
ejpam-3676	244	1	∞∑	∞∑	NUM
ejpam-3676	244	2	n=0	n=0	NUM
ejpam-3676	244	3	b(s	b(	NOUN
ejpam-3676	244	4	)	)	PUNCT
ejpam-3676	244	5	n	n	CCONJ
ejpam-3676	244	6	(	(	PUNCT
ejpam-3676	244	7	x	x	X
ejpam-3676	244	8	)	)	PUNCT
ejpam-3676	244	9	tn	tn	PROPN
ejpam-3676	244	10	n	n	PROPN
ejpam-3676	244	11	!	!	PUNCT
ejpam-3676	244	12	and	and	CCONJ
ejpam-3676	244	13	(	(	PUNCT
ejpam-3676	244	14	1−	1−	NUM
ejpam-3676	244	15	λ	λ	INTJ
ejpam-3676	244	16	et	et	NOUN
ejpam-3676	244	17	−	−	PROPN
ejpam-3676	244	18	λ	λ	PROPN
ejpam-3676	244	19	)	)	PUNCT
ejpam-3676	244	20	s	s	PART
ejpam-3676	244	21	ext	ext	NOUN
ejpam-3676	244	22	=	=	PUNCT
ejpam-3676	244	23	∞∑	∞∑	NUM
ejpam-3676	244	24	n=0	n=0	NUM
ejpam-3676	244	25	h(s	h(	NOUN
ejpam-3676	244	26	)	)	PUNCT
ejpam-3676	244	27	n	n	CCONJ
ejpam-3676	244	28	(	(	PUNCT
ejpam-3676	244	29	x;λ	x;λ	NUM
ejpam-3676	244	30	)	)	PUNCT
ejpam-3676	244	31	tn	tn	PROPN
ejpam-3676	244	32	n	n	PROPN
ejpam-3676	244	33	!	!	PUNCT
ejpam-3676	244	34	.	.	PUNCT
ejpam-3676	245	1	r.	r.	PROPN
ejpam-3676	245	2	corcino	corcino	PROPN
ejpam-3676	245	3	,	,	PUNCT
ejpam-3676	245	4	m.	m.	NOUN
ejpam-3676	245	5	laurente	laurente	PROPN
ejpam-3676	245	6	,	,	PUNCT
ejpam-3676	245	7	mar	mar	PROPN
ejpam-3676	245	8	.	.	PROPN
ejpam-3676	245	9	vega	vega	PROPN
ejpam-3676	245	10	/	/	SYM
ejpam-3676	245	11	eur	eur	PROPN
ejpam-3676	245	12	.	.	PUNCT
ejpam-3676	246	1	j.	j.	PROPN
ejpam-3676	246	2	pure	pure	PROPN
ejpam-3676	246	3	appl	appl	PROPN
ejpam-3676	246	4	.	.	PROPN
ejpam-3676	246	5	math	math	PROPN
ejpam-3676	246	6	,	,	PUNCT
ejpam-3676	246	7	13	13	NUM
ejpam-3676	246	8	(	(	PUNCT
ejpam-3676	246	9	3	3	NUM
ejpam-3676	246	10	)	)	PUNCT
ejpam-3676	246	11	(	(	PUNCT
ejpam-3676	246	12	2020	2020	NUM
ejpam-3676	246	13	)	)	PUNCT
ejpam-3676	246	14	,	,	PUNCT
ejpam-3676	246	15	444	444	NUM
ejpam-3676	246	16	-	-	SYM
ejpam-3676	246	17	458	458	NUM
ejpam-3676	246	18	454	454	NUM
ejpam-3676	246	19	3	3	NUM
ejpam-3676	246	20	.	.	PUNCT
ejpam-3676	246	21	symmetrized	symmetrize	VERB
ejpam-3676	246	22	generalization	generalization	NOUN
ejpam-3676	246	23	in	in	ADP
ejpam-3676	246	24	this	this	DET
ejpam-3676	246	25	section	section	NOUN
ejpam-3676	246	26	,	,	PUNCT
ejpam-3676	246	27	we	we	PRON
ejpam-3676	246	28	will	will	AUX
ejpam-3676	246	29	consider	consider	VERB
ejpam-3676	246	30	the	the	DET
ejpam-3676	246	31	symmetrized	symmetrized	ADJ
ejpam-3676	246	32	generalization	generalization	NOUN
ejpam-3676	246	33	of	of	ADP
ejpam-3676	246	34	multi	multi	ADJ
ejpam-3676	246	35	poly	poly	ADJ
ejpam-3676	246	36	-	-	PUNCT
ejpam-3676	246	37	genocchi	genocchi	NOUN
ejpam-3676	246	38	polynomials	polynomial	NOUN
ejpam-3676	246	39	with	with	ADP
ejpam-3676	246	40	parameters	parameter	NOUN
ejpam-3676	246	41	a	a	PRON
ejpam-3676	246	42	,	,	PUNCT
ejpam-3676	246	43	b	b	PROPN
ejpam-3676	246	44	and	and	CCONJ
ejpam-3676	246	45	c.	c.	PROPN
ejpam-3676	246	46	definition	definition	NOUN
ejpam-3676	246	47	3.1	3.1	NUM
ejpam-3676	246	48	.	.	PUNCT
ejpam-3676	247	1	for	for	ADP
ejpam-3676	247	2	m	m	PROPN
ejpam-3676	247	3	,	,	PUNCT
ejpam-3676	247	4	n	n	PRON
ejpam-3676	247	5	≥	≥	NOUN
ejpam-3676	247	6	0	0	NUM
ejpam-3676	247	7	,	,	PUNCT
ejpam-3676	247	8	we	we	PRON
ejpam-3676	247	9	define	define	VERB
ejpam-3676	247	10	the	the	DET
ejpam-3676	247	11	symmetrized	symmetrized	ADJ
ejpam-3676	247	12	generalization	generalization	NOUN
ejpam-3676	247	13	of	of	ADP
ejpam-3676	247	14	multi	multi	ADJ
ejpam-3676	247	15	polygenocchi	polygenocchi	PROPN
ejpam-3676	247	16	polynomials	polynomial	NOUN
ejpam-3676	247	17	with	with	ADP
ejpam-3676	247	18	parameters	parameter	NOUN
ejpam-3676	247	19	a	a	DET
ejpam-3676	247	20	,	,	PUNCT
ejpam-3676	247	21	b	b	PROPN
ejpam-3676	247	22	and	and	CCONJ
ejpam-3676	247	23	c	c	PROPN
ejpam-3676	247	24	as	as	SCONJ
ejpam-3676	247	25	follows	follow	VERB
ejpam-3676	247	26	s(m	s(m	PROPN
ejpam-3676	247	27	)	)	PUNCT
ejpam-3676	248	1	n	n	CCONJ
ejpam-3676	248	2	(	(	PUNCT
ejpam-3676	248	3	x	x	X
ejpam-3676	248	4	,	,	PUNCT
ejpam-3676	248	5	y	y	PROPN
ejpam-3676	248	6	;	;	PUNCT
ejpam-3676	248	7	a	a	DET
ejpam-3676	248	8	,	,	PUNCT
ejpam-3676	248	9	b	b	NOUN
ejpam-3676	248	10	,	,	PUNCT
ejpam-3676	248	11	c	c	NOUN
ejpam-3676	248	12	)	)	PUNCT
ejpam-3676	248	13	=	=	SYM
ejpam-3676	248	14	∑	∑	PUNCT
ejpam-3676	248	15	k1+k2+	k1+k2+	NOUN
ejpam-3676	248	16	...	...	PUNCT
ejpam-3676	248	17	+kr	+kr	PROPN
ejpam-3676	249	1	=	=	NOUN
ejpam-3676	249	2	m	m	PROPN
ejpam-3676	249	3	(	(	PUNCT
ejpam-3676	249	4	m	m	PROPN
ejpam-3676	249	5	k1	k1	PROPN
ejpam-3676	249	6	,	,	PUNCT
ejpam-3676	249	7	k2	k2	NOUN
ejpam-3676	249	8	,	,	PUNCT
ejpam-3676	249	9	.	.	PUNCT
ejpam-3676	249	10	.	.	PUNCT
ejpam-3676	249	11	.	.	PUNCT
ejpam-3676	250	1	kr	kr	PROPN
ejpam-3676	250	2	)	)	PUNCT
ejpam-3676	250	3	g(−k1,−k2,	g(−k1,−k2,	NOUN
ejpam-3676	250	4	...	...	PUNCT
ejpam-3676	250	5	−kr−1	−kr−1	X
ejpam-3676	250	6	)	)	PUNCT
ejpam-3676	250	7	n	n	CCONJ
ejpam-3676	250	8	(	(	PUNCT
ejpam-3676	250	9	x	x	X
ejpam-3676	250	10	;	;	PUNCT
ejpam-3676	250	11	a	a	DET
ejpam-3676	250	12	,	,	PUNCT
ejpam-3676	250	13	b	b	NOUN
ejpam-3676	250	14	,	,	PUNCT
ejpam-3676	250	15	c	c	NOUN
ejpam-3676	250	16	)	)	PUNCT
ejpam-3676	250	17	(	(	PUNCT
ejpam-3676	250	18	ln	ln	ADJ
ejpam-3676	250	19	a+	a+	PUNCT
ejpam-3676	250	20	ln	ln	ADJ
ejpam-3676	250	21	b)n	b)n	NOUN
ejpam-3676	250	22	(	(	PUNCT
ejpam-3676	250	23	(	(	PUNCT
ejpam-3676	250	24	r	r	NOUN
ejpam-3676	250	25	−	−	PROPN
ejpam-3676	250	26	1)y	1)y	NUM
ejpam-3676	250	27	ln	ln	ADJ
ejpam-3676	250	28	c+	c+	NOUN
ejpam-3676	250	29	ln	ln	ADV
ejpam-3676	250	30	a	a	DET
ejpam-3676	250	31	ln	ln	ADJ
ejpam-3676	250	32	a+	a+	PRON
ejpam-3676	250	33	ln	ln	PROPN
ejpam-3676	250	34	b	b	PROPN
ejpam-3676	250	35	)	)	PUNCT
ejpam-3676	250	36	kr	kr	PROPN
ejpam-3676	250	37	.	.	PUNCT
ejpam-3676	251	1	(	(	PUNCT
ejpam-3676	251	2	39	39	NUM
ejpam-3676	251	3	)	)	PUNCT
ejpam-3676	251	4	the	the	DET
ejpam-3676	251	5	following	follow	VERB
ejpam-3676	251	6	theorem	theorem	NOUN
ejpam-3676	251	7	contains	contain	VERB
ejpam-3676	251	8	the	the	DET
ejpam-3676	251	9	double	double	ADJ
ejpam-3676	251	10	generating	generating	NOUN
ejpam-3676	251	11	function	function	NOUN
ejpam-3676	251	12	for	for	ADP
ejpam-3676	251	13	s(m	s(m	NOUN
ejpam-3676	251	14	)	)	PUNCT
ejpam-3676	251	15	n	n	CCONJ
ejpam-3676	251	16	(	(	PUNCT
ejpam-3676	251	17	x	x	X
ejpam-3676	251	18	,	,	PUNCT
ejpam-3676	251	19	y	y	PROPN
ejpam-3676	251	20	;	;	PUNCT
ejpam-3676	251	21	a	a	DET
ejpam-3676	251	22	,	,	PUNCT
ejpam-3676	251	23	b	b	NOUN
ejpam-3676	251	24	,	,	PUNCT
ejpam-3676	251	25	c	c	NOUN
ejpam-3676	251	26	)	)	PUNCT
ejpam-3676	251	27	.	.	PUNCT
ejpam-3676	252	1	theorem	theorem	ADJ
ejpam-3676	252	2	3.2	3.2	NUM
ejpam-3676	252	3	.	.	PUNCT
ejpam-3676	253	1	for	for	ADP
ejpam-3676	253	2	n	n	CCONJ
ejpam-3676	253	3	,	,	PUNCT
ejpam-3676	253	4	m	m	PROPN
ejpam-3676	253	5	≥	≥	NOUN
ejpam-3676	253	6	0	0	NUM
ejpam-3676	253	7	,	,	PUNCT
ejpam-3676	253	8	we	we	PRON
ejpam-3676	253	9	have	have	VERB
ejpam-3676	253	10	∞∑	∞∑	NUM
ejpam-3676	253	11	n=0	n=0	NUM
ejpam-3676	253	12	∞∑	∞∑	NUM
ejpam-3676	253	13	m=0	m=0	PROPN
ejpam-3676	253	14	s(m	s(m	PROPN
ejpam-3676	253	15	)	)	PUNCT
ejpam-3676	253	16	n	n	CCONJ
ejpam-3676	253	17	(	(	PUNCT
ejpam-3676	253	18	x	x	X
ejpam-3676	253	19	,	,	PUNCT
ejpam-3676	253	20	y	y	PROPN
ejpam-3676	253	21	;	;	PUNCT
ejpam-3676	253	22	a	a	DET
ejpam-3676	253	23	,	,	PUNCT
ejpam-3676	253	24	b	b	NOUN
ejpam-3676	253	25	,	,	PUNCT
ejpam-3676	253	26	c	c	NOUN
ejpam-3676	253	27	)	)	PUNCT
ejpam-3676	253	28	tn	tn	PROPN
ejpam-3676	253	29	n	n	PROPN
ejpam-3676	253	30	!	!	PUNCT
ejpam-3676	253	31	um	um	INTJ
ejpam-3676	253	32	m	m	NOUN
ejpam-3676	253	33	!	!	PUNCT
ejpam-3676	254	1	=	=	PUNCT
ejpam-3676	254	2	e	e	X
ejpam-3676	254	3	(	(	PUNCT
ejpam-3676	254	4	(	(	PUNCT
ejpam-3676	254	5	r−1)y	r−1)y	PROPN
ejpam-3676	254	6	ln	ln	NOUN
ejpam-3676	254	7	c+ln	c+ln	NOUN
ejpam-3676	254	8	a	a	DET
ejpam-3676	254	9	ln	ln	ADJ
ejpam-3676	254	10	a+ln	a+ln	NOUN
ejpam-3676	254	11	b	b	NOUN
ejpam-3676	254	12	)	)	PUNCT
ejpam-3676	254	13	u	u	NOUN
ejpam-3676	254	14	e	e	X
ejpam-3676	254	15	(	(	PUNCT
ejpam-3676	254	16	r−1	r−1	PROPN
ejpam-3676	254	17	)	)	PUNCT
ejpam-3676	254	18	(	(	PUNCT
ejpam-3676	254	19	(	(	PUNCT
ejpam-3676	254	20	r−1)x	r−1)x	X
ejpam-3676	254	21	ln	ln	NOUN
ejpam-3676	254	22	c+ln	c+ln	NOUN
ejpam-3676	254	23	a	a	DET
ejpam-3676	254	24	ln	ln	ADJ
ejpam-3676	254	25	a+ln	a+ln	NOUN
ejpam-3676	254	26	b	b	PROPN
ejpam-3676	254	27	)	)	PUNCT
ejpam-3676	254	28	t	t	NOUN
ejpam-3676	254	29	e	e	PROPN
ejpam-3676	254	30	(	(	PUNCT
ejpam-3676	254	31	r	r	NOUN
ejpam-3676	254	32	2)u+2(r−1)t(1−	2)u+2(r−1)t(1−	NUM
ejpam-3676	254	33	e−2t)r−1	e−2t)r−1	PROPN
ejpam-3676	254	34	(	(	PUNCT
ejpam-3676	254	35	1	1	NUM
ejpam-3676	254	36	+	+	NUM
ejpam-3676	254	37	et)r−1	et)r−1	PROPN
ejpam-3676	254	38	∏r−1	∏r−1	PROPN
ejpam-3676	254	39	i=1	i=1	PROPN
ejpam-3676	254	40	(	(	PUNCT
ejpam-3676	254	41	e2	e2	PROPN
ejpam-3676	254	42	t	t	PROPN
ejpam-3676	254	43	+	+	PROPN
ejpam-3676	254	44	eiu	eiu	PROPN
ejpam-3676	254	45	−	−	PROPN
ejpam-3676	254	46	e2t+iu	e2t+iu	PROPN
ejpam-3676	254	47	)	)	PUNCT
ejpam-3676	254	48	.	.	PUNCT
ejpam-3676	255	1	(	(	PUNCT
ejpam-3676	255	2	40	40	NUM
ejpam-3676	255	3	)	)	PUNCT
ejpam-3676	255	4	proof	proof	NOUN
ejpam-3676	255	5	.	.	PUNCT
ejpam-3676	256	1	∞∑	∞∑	PRON
ejpam-3676	256	2	n=0	n=0	NUM
ejpam-3676	256	3	∞∑	∞∑	NUM
ejpam-3676	256	4	m=0	m=0	PROPN
ejpam-3676	256	5	s(m	s(m	PROPN
ejpam-3676	256	6	)	)	PUNCT
ejpam-3676	256	7	n	n	CCONJ
ejpam-3676	256	8	(	(	PUNCT
ejpam-3676	256	9	x	x	X
ejpam-3676	256	10	,	,	PUNCT
ejpam-3676	256	11	y	y	PROPN
ejpam-3676	256	12	;	;	PUNCT
ejpam-3676	256	13	a	a	DET
ejpam-3676	256	14	,	,	PUNCT
ejpam-3676	256	15	b	b	NOUN
ejpam-3676	256	16	,	,	PUNCT
ejpam-3676	256	17	c	c	NOUN
ejpam-3676	256	18	)	)	PUNCT
ejpam-3676	256	19	tn	tn	PROPN
ejpam-3676	256	20	n	n	PROPN
ejpam-3676	256	21	!	!	PUNCT
ejpam-3676	256	22	um	um	INTJ
ejpam-3676	256	23	m	m	NOUN
ejpam-3676	256	24	!	!	PUNCT
ejpam-3676	256	25	=	=	NOUN
ejpam-3676	257	1	∞∑	∞∑	PRON
ejpam-3676	257	2	n=0	n=0	NUM
ejpam-3676	257	3	∞∑	∞∑	NUM
ejpam-3676	257	4	m=0	m=0	PROPN
ejpam-3676	257	5	∑	∑	PUNCT
ejpam-3676	257	6	k1+k2+	k1+k2+	PROPN
ejpam-3676	257	7	...	...	PUNCT
ejpam-3676	257	8	+kr	+kr	PROPN
ejpam-3676	257	9	=	=	NOUN
ejpam-3676	257	10	m	m	VERB
ejpam-3676	257	11	g(−k1,−k2,	g(−k1,−k2,	NOUN
ejpam-3676	257	12	...	...	PUNCT
ejpam-3676	257	13	−kr−1	−kr−1	X
ejpam-3676	257	14	)	)	PUNCT
ejpam-3676	257	15	n	n	CCONJ
ejpam-3676	257	16	(	(	PUNCT
ejpam-3676	257	17	x	x	X
ejpam-3676	257	18	;	;	PUNCT
ejpam-3676	257	19	a	a	DET
ejpam-3676	257	20	,	,	PUNCT
ejpam-3676	257	21	b	b	NOUN
ejpam-3676	257	22	,	,	PUNCT
ejpam-3676	257	23	c	c	NOUN
ejpam-3676	257	24	)	)	PUNCT
ejpam-3676	257	25	(	(	PUNCT
ejpam-3676	257	26	ln	ln	ADJ
ejpam-3676	257	27	a+	a+	PUNCT
ejpam-3676	257	28	ln	ln	ADJ
ejpam-3676	257	29	b)n	b)n	NOUN
ejpam-3676	257	30	(	(	PUNCT
ejpam-3676	257	31	(	(	PUNCT
ejpam-3676	257	32	r	r	NOUN
ejpam-3676	257	33	−	−	PROPN
ejpam-3676	257	34	1)y	1)y	NUM
ejpam-3676	257	35	ln	ln	ADJ
ejpam-3676	257	36	c+	c+	NOUN
ejpam-3676	257	37	ln	ln	ADV
ejpam-3676	257	38	a	a	DET
ejpam-3676	257	39	ln	ln	ADJ
ejpam-3676	257	40	a+	a+	PRON
ejpam-3676	257	41	ln	ln	PROPN
ejpam-3676	257	42	b	b	PROPN
ejpam-3676	257	43	)	)	PUNCT
ejpam-3676	257	44	kr	kr	PROPN
ejpam-3676	257	45	tn	tn	PROPN
ejpam-3676	257	46	n	n	PROPN
ejpam-3676	257	47	!	!	PUNCT
ejpam-3676	258	1	×	×	PROPN
ejpam-3676	258	2	×	×	INTJ
ejpam-3676	258	3	um	um	INTJ
ejpam-3676	258	4	k1!k2	k1!k2	PROPN
ejpam-3676	258	5	!	!	PUNCT
ejpam-3676	258	6	.	.	PUNCT
ejpam-3676	258	7	.	.	PUNCT
ejpam-3676	258	8	.	.	PUNCT
ejpam-3676	259	1	kr	kr	PROPN
ejpam-3676	259	2	!	!	PUNCT
ejpam-3676	259	3	=	=	NOUN
ejpam-3676	260	1	∞∑	∞∑	PRON
ejpam-3676	260	2	n=0	n=0	NUM
ejpam-3676	260	3	∑	∑	ADV
ejpam-3676	260	4	k1+k2+	k1+k2+	NOUN
ejpam-3676	260	5	...	...	PUNCT
ejpam-3676	260	6	+kr≥0	+kr≥0	NUM
ejpam-3676	260	7	g(−k1,−k2,	g(−k1,−k2,	NOUN
ejpam-3676	260	8	...	...	PUNCT
ejpam-3676	260	9	−kr−1	−kr−1	X
ejpam-3676	260	10	)	)	PUNCT
ejpam-3676	260	11	n	n	CCONJ
ejpam-3676	260	12	(	(	PUNCT
ejpam-3676	260	13	x	x	X
ejpam-3676	260	14	;	;	PUNCT
ejpam-3676	260	15	a	a	DET
ejpam-3676	260	16	,	,	PUNCT
ejpam-3676	260	17	b	b	NOUN
ejpam-3676	260	18	,	,	PUNCT
ejpam-3676	260	19	c	c	NOUN
ejpam-3676	260	20	)	)	PUNCT
ejpam-3676	260	21	(	(	PUNCT
ejpam-3676	260	22	ln	ln	ADJ
ejpam-3676	260	23	a+	a+	PUNCT
ejpam-3676	260	24	ln	ln	ADJ
ejpam-3676	260	25	b)n	b)n	NOUN
ejpam-3676	260	26	(	(	PUNCT
ejpam-3676	260	27	(	(	PUNCT
ejpam-3676	260	28	r	r	NOUN
ejpam-3676	260	29	−	−	PROPN
ejpam-3676	260	30	1)y	1)y	NUM
ejpam-3676	260	31	ln	ln	ADJ
ejpam-3676	260	32	c+	c+	NOUN
ejpam-3676	260	33	ln	ln	ADV
ejpam-3676	260	34	a	a	DET
ejpam-3676	260	35	ln	ln	ADJ
ejpam-3676	260	36	a+	a+	PRON
ejpam-3676	260	37	ln	ln	PROPN
ejpam-3676	260	38	b	b	PROPN
ejpam-3676	260	39	)	)	PUNCT
ejpam-3676	260	40	kr	kr	PROPN
ejpam-3676	260	41	tn	tn	PROPN
ejpam-3676	260	42	n	n	PROPN
ejpam-3676	260	43	!	!	PUNCT
ejpam-3676	260	44	×	×	NOUN
ejpam-3676	260	45	×u	×u	X
ejpam-3676	260	46	k1+k2+	k1+k2+	NOUN
ejpam-3676	260	47	...	...	PUNCT
ejpam-3676	260	48	+kr	+kr	X
ejpam-3676	260	49	k1!k2	k1!k2	PROPN
ejpam-3676	260	50	!	!	PUNCT
ejpam-3676	260	51	.	.	PUNCT
ejpam-3676	260	52	.	.	PUNCT
ejpam-3676	260	53	.	.	PUNCT
ejpam-3676	261	1	kr	kr	PROPN
ejpam-3676	261	2	!	!	PUNCT
ejpam-3676	261	3	=	=	NOUN
ejpam-3676	262	1	∞∑	∞∑	PRON
ejpam-3676	262	2	n=0	n=0	NUM
ejpam-3676	262	3	∑	∑	ADV
ejpam-3676	262	4	k1+k2+	k1+k2+	NOUN
ejpam-3676	262	5	...	...	PUNCT
ejpam-3676	262	6	+kr−1≥0	+kr−1≥0	ADP
ejpam-3676	262	7	g(−k1,−k2,	g(−k1,−k2,	NOUN
ejpam-3676	262	8	...	...	PUNCT
ejpam-3676	262	9	−kr−1	−kr−1	X
ejpam-3676	262	10	)	)	PUNCT
ejpam-3676	262	11	n	n	CCONJ
ejpam-3676	262	12	(	(	PUNCT
ejpam-3676	262	13	x	x	X
ejpam-3676	262	14	;	;	PUNCT
ejpam-3676	262	15	a	a	DET
ejpam-3676	262	16	,	,	PUNCT
ejpam-3676	262	17	b	b	NOUN
ejpam-3676	262	18	,	,	PUNCT
ejpam-3676	262	19	c	c	NOUN
ejpam-3676	262	20	)	)	PUNCT
ejpam-3676	262	21	(	(	PUNCT
ejpam-3676	262	22	ln	ln	ADJ
ejpam-3676	262	23	a+	a+	PUNCT
ejpam-3676	262	24	ln	ln	ADJ
ejpam-3676	262	25	b)n	b)n	NOUN
ejpam-3676	262	26	∑	∑	PUNCT
ejpam-3676	262	27	kr≥0	kr≥0	PROPN
ejpam-3676	262	28	(	(	PUNCT
ejpam-3676	262	29	(	(	PUNCT
ejpam-3676	262	30	r	r	NOUN
ejpam-3676	262	31	−	−	PROPN
ejpam-3676	262	32	1)y	1)y	NUM
ejpam-3676	262	33	ln	ln	ADJ
ejpam-3676	262	34	c+	c+	NOUN
ejpam-3676	262	35	ln	ln	ADV
ejpam-3676	262	36	a	a	DET
ejpam-3676	262	37	ln	ln	ADJ
ejpam-3676	262	38	a+	a+	PRON
ejpam-3676	262	39	ln	ln	PROPN
ejpam-3676	262	40	b	b	PROPN
ejpam-3676	262	41	)	)	PUNCT
ejpam-3676	262	42	kr	kr	PROPN
ejpam-3676	262	43	ukr	ukr	PROPN
ejpam-3676	262	44	kr	kr	PROPN
ejpam-3676	262	45	!	!	PROPN
ejpam-3676	263	1	×	×	PROPN
ejpam-3676	263	2	×	×	PROPN
ejpam-3676	263	3	t	t	PROPN
ejpam-3676	263	4	n	n	CCONJ
ejpam-3676	263	5	n	n	CCONJ
ejpam-3676	263	6	!	!	PUNCT
ejpam-3676	263	7	uk1+k2+	uk1+k2+	PROPN
ejpam-3676	263	8	...	...	PUNCT
ejpam-3676	264	1	+kr−1	+kr−1	PRON
ejpam-3676	264	2	k1!k2	k1!k2	X
ejpam-3676	264	3	!	!	PUNCT
ejpam-3676	264	4	.	.	PUNCT
ejpam-3676	264	5	.	.	PUNCT
ejpam-3676	264	6	.	.	PUNCT
ejpam-3676	265	1	kr−1	kr−1	PROPN
ejpam-3676	265	2	!	!	PUNCT
ejpam-3676	266	1	=	=	PUNCT
ejpam-3676	266	2	e	e	X
ejpam-3676	266	3	(	(	PUNCT
ejpam-3676	266	4	(	(	PUNCT
ejpam-3676	266	5	r−1)y	r−1)y	PROPN
ejpam-3676	266	6	ln	ln	NOUN
ejpam-3676	266	7	c+ln	c+ln	NOUN
ejpam-3676	266	8	a	a	DET
ejpam-3676	266	9	ln	ln	ADJ
ejpam-3676	266	10	a+ln	a+ln	NOUN
ejpam-3676	266	11	b	b	X
ejpam-3676	266	12	)	)	PUNCT
ejpam-3676	266	13	u	u	NOUN
ejpam-3676	266	14	∞∑	∞∑	PROPN
ejpam-3676	266	15	n=0	n=0	NUM
ejpam-3676	266	16	∑	∑	ADV
ejpam-3676	266	17	k1+k2+	k1+k2+	NOUN
ejpam-3676	266	18	...	...	PUNCT
ejpam-3676	266	19	+kr−1≥0	+kr−1≥0	ADP
ejpam-3676	266	20	g(−k1,−k2,	g(−k1,−k2,	NOUN
ejpam-3676	266	21	...	...	PUNCT
ejpam-3676	266	22	−kr−1	−kr−1	X
ejpam-3676	266	23	)	)	PUNCT
ejpam-3676	266	24	n	n	CCONJ
ejpam-3676	266	25	(	(	PUNCT
ejpam-3676	266	26	x	x	X
ejpam-3676	266	27	;	;	PUNCT
ejpam-3676	266	28	a	a	DET
ejpam-3676	266	29	,	,	PUNCT
ejpam-3676	266	30	b	b	NOUN
ejpam-3676	266	31	,	,	PUNCT
ejpam-3676	266	32	c	c	NOUN
ejpam-3676	266	33	)	)	PUNCT
ejpam-3676	266	34	(	(	PUNCT
ejpam-3676	266	35	ln	ln	ADJ
ejpam-3676	266	36	a+	a+	PUNCT
ejpam-3676	266	37	ln	ln	X
ejpam-3676	266	38	b)n	b)n	X
ejpam-3676	266	39	tn	tn	NOUN
ejpam-3676	266	40	n	n	CCONJ
ejpam-3676	266	41	!	!	PUNCT
ejpam-3676	266	42	uk1+k2+	uk1+k2+	PROPN
ejpam-3676	266	43	...	...	PUNCT
ejpam-3676	267	1	+kr−1	+kr−1	PRON
ejpam-3676	267	2	k1!k2	k1!k2	X
ejpam-3676	267	3	!	!	PUNCT
ejpam-3676	267	4	.	.	PUNCT
ejpam-3676	267	5	.	.	PUNCT
ejpam-3676	267	6	.	.	PUNCT
ejpam-3676	268	1	kr−1	kr−1	PROPN
ejpam-3676	268	2	!	!	PUNCT
ejpam-3676	269	1	r.	r.	PROPN
ejpam-3676	269	2	corcino	corcino	PROPN
ejpam-3676	269	3	,	,	PUNCT
ejpam-3676	269	4	m.	m.	NOUN
ejpam-3676	269	5	laurente	laurente	PROPN
ejpam-3676	269	6	,	,	PUNCT
ejpam-3676	269	7	mar	mar	PROPN
ejpam-3676	269	8	.	.	PROPN
ejpam-3676	269	9	vega	vega	PROPN
ejpam-3676	269	10	/	/	SYM
ejpam-3676	269	11	eur	eur	PROPN
ejpam-3676	269	12	.	.	PUNCT
ejpam-3676	270	1	j.	j.	PROPN
ejpam-3676	270	2	pure	pure	PROPN
ejpam-3676	270	3	appl	appl	PROPN
ejpam-3676	270	4	.	.	PROPN
ejpam-3676	270	5	math	math	PROPN
ejpam-3676	270	6	,	,	PUNCT
ejpam-3676	270	7	13	13	NUM
ejpam-3676	270	8	(	(	PUNCT
ejpam-3676	270	9	3	3	NUM
ejpam-3676	270	10	)	)	PUNCT
ejpam-3676	270	11	(	(	PUNCT
ejpam-3676	270	12	2020	2020	NUM
ejpam-3676	270	13	)	)	PUNCT
ejpam-3676	270	14	,	,	PUNCT
ejpam-3676	270	15	444	444	NUM
ejpam-3676	270	16	-	-	SYM
ejpam-3676	270	17	458	458	NUM
ejpam-3676	270	18	455	455	NUM
ejpam-3676	270	19	using	use	VERB
ejpam-3676	270	20	identity	identity	NOUN
ejpam-3676	270	21	(	(	PUNCT
ejpam-3676	270	22	26	26	NUM
ejpam-3676	270	23	)	)	PUNCT
ejpam-3676	270	24	,	,	PUNCT
ejpam-3676	270	25	we	we	PRON
ejpam-3676	270	26	obtain	obtain	VERB
ejpam-3676	270	27	∞∑	∞∑	NUM
ejpam-3676	270	28	n=0	n=0	NUM
ejpam-3676	270	29	∞∑	∞∑	NUM
ejpam-3676	270	30	m=0	m=0	PROPN
ejpam-3676	270	31	s(m	s(m	PROPN
ejpam-3676	270	32	)	)	PUNCT
ejpam-3676	270	33	n	n	CCONJ
ejpam-3676	270	34	(	(	PUNCT
ejpam-3676	270	35	x	x	X
ejpam-3676	270	36	,	,	PUNCT
ejpam-3676	270	37	y	y	PROPN
ejpam-3676	270	38	;	;	PUNCT
ejpam-3676	270	39	a	a	DET
ejpam-3676	270	40	,	,	PUNCT
ejpam-3676	270	41	b	b	NOUN
ejpam-3676	270	42	,	,	PUNCT
ejpam-3676	270	43	c	c	NOUN
ejpam-3676	270	44	)	)	PUNCT
ejpam-3676	270	45	tn	tn	PROPN
ejpam-3676	270	46	n	n	PROPN
ejpam-3676	270	47	!	!	PUNCT
ejpam-3676	270	48	um	um	INTJ
ejpam-3676	270	49	m	m	NOUN
ejpam-3676	270	50	!	!	PUNCT
ejpam-3676	271	1	=	=	PUNCT
ejpam-3676	271	2	e	e	X
ejpam-3676	271	3	(	(	PUNCT
ejpam-3676	271	4	(	(	PUNCT
ejpam-3676	271	5	r−1)y	r−1)y	PROPN
ejpam-3676	271	6	ln	ln	NOUN
ejpam-3676	271	7	c+ln	c+ln	NOUN
ejpam-3676	271	8	a	a	DET
ejpam-3676	271	9	ln	ln	ADJ
ejpam-3676	271	10	a+ln	a+ln	NOUN
ejpam-3676	271	11	b	b	NOUN
ejpam-3676	271	12	)	)	PUNCT
ejpam-3676	271	13	u	u	PROPN
ejpam-3676	271	14	∑	∑	NOUN
ejpam-3676	271	15	k1+k2+	k1+k2+	NOUN
ejpam-3676	271	16	...	...	PUNCT
ejpam-3676	272	1	+kr−1≥0	+kr−1≥0	ADP
ejpam-3676	272	2	∞∑	∞∑	PRON
ejpam-3676	272	3	n=0	n=0	ADJ
ejpam-3676	272	4	g(−k1,−k2,	g(−k1,−k2,	NOUN
ejpam-3676	272	5	...	...	PUNCT
ejpam-3676	272	6	−kr−1	−kr−1	X
ejpam-3676	272	7	)	)	PUNCT
ejpam-3676	273	1	n	n	CCONJ
ejpam-3676	273	2	(	(	PUNCT
ejpam-3676	273	3	(	(	PUNCT
ejpam-3676	273	4	r	r	NOUN
ejpam-3676	273	5	−	−	PROPN
ejpam-3676	273	6	1)x	1)x	NUM
ejpam-3676	273	7	ln	ln	ADJ
ejpam-3676	273	8	c+	c+	NOUN
ejpam-3676	273	9	ln	ln	ADV
ejpam-3676	273	10	a	a	DET
ejpam-3676	273	11	ln	ln	ADJ
ejpam-3676	273	12	a+	a+	PRON
ejpam-3676	273	13	ln	ln	PROPN
ejpam-3676	273	14	b	b	PROPN
ejpam-3676	273	15	)	)	PUNCT
ejpam-3676	273	16	tn	tn	PROPN
ejpam-3676	273	17	n	n	PROPN
ejpam-3676	273	18	!	!	NOUN
ejpam-3676	273	19	×	×	VERB
ejpam-3676	273	20	×u	×u	ADP
ejpam-3676	273	21	k1+k2+	k1+k2+	NOUN
ejpam-3676	273	22	...	...	PUNCT
ejpam-3676	274	1	+kr−1	+kr−1	PROPN
ejpam-3676	274	2	k1!k2	k1!k2	PROPN
ejpam-3676	274	3	!	!	PUNCT
ejpam-3676	274	4	.	.	PUNCT
ejpam-3676	274	5	.	.	PUNCT
ejpam-3676	274	6	.	.	PUNCT
ejpam-3676	275	1	kr−1	kr−1	PROPN
ejpam-3676	275	2	!	!	PUNCT
ejpam-3676	276	1	=	=	PUNCT
ejpam-3676	276	2	e	e	X
ejpam-3676	276	3	(	(	PUNCT
ejpam-3676	276	4	(	(	PUNCT
ejpam-3676	276	5	r−1)y	r−1)y	PROPN
ejpam-3676	276	6	ln	ln	NOUN
ejpam-3676	276	7	c+ln	c+ln	NOUN
ejpam-3676	276	8	a	a	DET
ejpam-3676	276	9	ln	ln	ADJ
ejpam-3676	276	10	a+ln	a+ln	NOUN
ejpam-3676	276	11	b	b	NOUN
ejpam-3676	276	12	)	)	PUNCT
ejpam-3676	276	13	u	u	NOUN
ejpam-3676	276	14	e	e	X
ejpam-3676	276	15	(	(	PUNCT
ejpam-3676	276	16	r−1	r−1	PROPN
ejpam-3676	276	17	)	)	PUNCT
ejpam-3676	276	18	(	(	PUNCT
ejpam-3676	276	19	(	(	PUNCT
ejpam-3676	276	20	r−1)x	r−1)x	X
ejpam-3676	276	21	ln	ln	NOUN
ejpam-3676	276	22	c+ln	c+ln	NOUN
ejpam-3676	276	23	a	a	DET
ejpam-3676	276	24	ln	ln	ADJ
ejpam-3676	276	25	a+ln	a+ln	NOUN
ejpam-3676	276	26	b	b	PROPN
ejpam-3676	276	27	)	)	PUNCT
ejpam-3676	276	28	t	t	PROPN
ejpam-3676	276	29	∑	∑	PUNCT
ejpam-3676	276	30	k1+k2+	k1+k2+	PROPN
ejpam-3676	276	31	...	...	PUNCT
ejpam-3676	276	32	+kr−1≥0	+kr−1≥0	PROPN
ejpam-3676	276	33	li(−k1,−k2,	li(−k1,−k2,	NOUN
ejpam-3676	276	34	...	...	PUNCT
ejpam-3676	276	35	,−kr−1)(1−	,−kr−1)(1−	PUNCT
ejpam-3676	276	36	e−2	e−2	PROPN
ejpam-3676	276	37	t	t	PROPN
ejpam-3676	276	38	)	)	PUNCT
ejpam-3676	276	39	(	(	PUNCT
ejpam-3676	276	40	1	1	NUM
ejpam-3676	276	41	+	+	NUM
ejpam-3676	276	42	et)r−1	et)r−1	PROPN
ejpam-3676	276	43	×	×	NOUN
ejpam-3676	276	44	×u	×u	X
ejpam-3676	276	45	k1+k2+	k1+k2+	NOUN
ejpam-3676	276	46	...	...	PUNCT
ejpam-3676	276	47	+kr−1	+kr−1	PROPN
ejpam-3676	276	48	k1!k2	k1!k2	PROPN
ejpam-3676	276	49	!	!	PUNCT
ejpam-3676	276	50	.	.	PUNCT
ejpam-3676	276	51	.	.	PUNCT
ejpam-3676	276	52	.	.	PUNCT
ejpam-3676	277	1	kr−1	kr−1	PROPN
ejpam-3676	277	2	!	!	PUNCT
ejpam-3676	278	1	=	=	PUNCT
ejpam-3676	278	2	e	e	X
ejpam-3676	278	3	(	(	PUNCT
ejpam-3676	278	4	(	(	PUNCT
ejpam-3676	278	5	r−1)y	r−1)y	PROPN
ejpam-3676	278	6	ln	ln	NOUN
ejpam-3676	278	7	c+ln	c+ln	NOUN
ejpam-3676	278	8	a	a	DET
ejpam-3676	278	9	ln	ln	ADJ
ejpam-3676	278	10	a+ln	a+ln	NOUN
ejpam-3676	278	11	b	b	NOUN
ejpam-3676	278	12	)	)	PUNCT
ejpam-3676	278	13	u	u	NOUN
ejpam-3676	278	14	e	e	X
ejpam-3676	278	15	(	(	PUNCT
ejpam-3676	278	16	r−1	r−1	PROPN
ejpam-3676	278	17	)	)	PUNCT
ejpam-3676	278	18	(	(	PUNCT
ejpam-3676	278	19	(	(	PUNCT
ejpam-3676	278	20	r−1)x	r−1)x	X
ejpam-3676	278	21	ln	ln	NOUN
ejpam-3676	278	22	c+ln	c+ln	NOUN
ejpam-3676	278	23	a	a	DET
ejpam-3676	278	24	ln	ln	ADJ
ejpam-3676	278	25	a+ln	a+ln	NOUN
ejpam-3676	278	26	b	b	PROPN
ejpam-3676	278	27	)	)	PUNCT
ejpam-3676	278	28	t	t	NOUN
ejpam-3676	278	29	(	(	PUNCT
ejpam-3676	278	30	1	1	NUM
ejpam-3676	278	31	+	+	NUM
ejpam-3676	278	32	et)r−1	et)r−1	PROPN
ejpam-3676	278	33	∑	∑	PUNCT
ejpam-3676	278	34	0	0	NUM
ejpam-3676	278	35	<	<	X
ejpam-3676	278	36	m1	m1	X
ejpam-3676	278	37	<	<	X
ejpam-3676	278	38	m2<	m2<	PROPN
ejpam-3676	278	39	...	...	PUNCT
ejpam-3676	278	40	<mr−1	<mr−1	X
ejpam-3676	278	41	(	(	PUNCT
ejpam-3676	278	42	1−	1−	NUM
ejpam-3676	278	43	e−2t)mr−1l(u	e−2t)mr−1l(u	NOUN
ejpam-3676	278	44	,	,	PUNCT
ejpam-3676	278	45	m1	m1	PROPN
ejpam-3676	278	46	,	,	PUNCT
ejpam-3676	278	47	.	.	PUNCT
ejpam-3676	278	48	.	.	PUNCT
ejpam-3676	278	49	.	.	PUNCT
ejpam-3676	279	1	,	,	PUNCT
ejpam-3676	279	2	mr−1	mr−1	PROPN
ejpam-3676	279	3	)	)	PUNCT
ejpam-3676	280	1	where	where	SCONJ
ejpam-3676	280	2	l(u	l(u	PROPN
ejpam-3676	280	3	,	,	PUNCT
ejpam-3676	280	4	m1	m1	PROPN
ejpam-3676	280	5	,	,	PUNCT
ejpam-3676	280	6	.	.	PUNCT
ejpam-3676	280	7	.	.	PUNCT
ejpam-3676	281	1	.	.	PUNCT
ejpam-3676	282	1	,	,	PUNCT
ejpam-3676	282	2	mr−1	mr−1	ADJ
ejpam-3676	282	3	)	)	PUNCT
ejpam-3676	282	4	=	=	SYM
ejpam-3676	282	5	∑	∑	PUNCT
ejpam-3676	282	6	k1+	k1+	PROPN
ejpam-3676	282	7	...	...	PUNCT
ejpam-3676	283	1	+kr−1≥0	+kr−1≥0	PROPN
ejpam-3676	283	2	(	(	PUNCT
ejpam-3676	283	3	um1	um1	PROPN
ejpam-3676	283	4	)	)	PUNCT
ejpam-3676	283	5	k1	k1	NOUN
ejpam-3676	283	6	.	.	PUNCT
ejpam-3676	283	7	.	.	PUNCT
ejpam-3676	283	8	.	.	PUNCT
ejpam-3676	284	1	(	(	PUNCT
ejpam-3676	284	2	umr−1	umr−1	PROPN
ejpam-3676	284	3	)	)	PUNCT
ejpam-3676	284	4	kr−1	kr−1	PROPN
ejpam-3676	284	5	k1	k1	PROPN
ejpam-3676	284	6	!	!	PUNCT
ejpam-3676	284	7	.	.	PUNCT
ejpam-3676	284	8	.	.	PUNCT
ejpam-3676	284	9	.	.	PUNCT
ejpam-3676	285	1	kr−1	kr−1	PROPN
ejpam-3676	285	2	!	!	PUNCT
ejpam-3676	286	1	=	=	PUNCT
ejpam-3676	287	1	∑	∑	PUNCT
ejpam-3676	287	2	m̂≥0	m̂≥0	PROPN
ejpam-3676	287	3	1	1	NUM
ejpam-3676	287	4	m̂	m̂	NUM
ejpam-3676	287	5	!	!	PUNCT
ejpam-3676	287	6	∑	∑	PUNCT
ejpam-3676	287	7	k1+k2+	k1+k2+	NOUN
ejpam-3676	287	8	...	...	PUNCT
ejpam-3676	288	1	+kr−1	+kr−1	PROPN
ejpam-3676	288	2	=	=	SYM
ejpam-3676	288	3	m̂	m̂	PROPN
ejpam-3676	288	4	(	(	PUNCT
ejpam-3676	288	5	m̂	m̂	NOUN
ejpam-3676	288	6	k1	k1	PROPN
ejpam-3676	288	7	,	,	PUNCT
ejpam-3676	288	8	.	.	PUNCT
ejpam-3676	288	9	.	.	PUNCT
ejpam-3676	288	10	.	.	PUNCT
ejpam-3676	289	1	kr−1	kr−1	PROPN
ejpam-3676	289	2	)	)	PUNCT
ejpam-3676	289	3	(	(	PUNCT
ejpam-3676	289	4	um1	um1	PROPN
ejpam-3676	289	5	)	)	PUNCT
ejpam-3676	289	6	k1	k1	NOUN
ejpam-3676	289	7	.	.	PUNCT
ejpam-3676	289	8	.	.	PUNCT
ejpam-3676	289	9	.	.	PUNCT
ejpam-3676	290	1	(	(	PUNCT
ejpam-3676	290	2	umr−1	umr−1	PROPN
ejpam-3676	290	3	)	)	PUNCT
ejpam-3676	290	4	kr−1	kr−1	PROPN
ejpam-3676	290	5	=	=	PUNCT
ejpam-3676	290	6	∑	∑	PROPN
ejpam-3676	290	7	m̂≥0	m̂≥0	PROPN
ejpam-3676	290	8	(	(	PUNCT
ejpam-3676	290	9	um1	um1	PROPN
ejpam-3676	290	10	+	+	X
ejpam-3676	290	11	.	.	PUNCT
ejpam-3676	290	12	.	.	PUNCT
ejpam-3676	291	1	.+	.+	NOUN
ejpam-3676	291	2	umr−1	umr−1	PROPN
ejpam-3676	291	3	)	)	PUNCT
ejpam-3676	291	4	m̂	m̂	NOUN
ejpam-3676	291	5	m̂	m̂	PROPN
ejpam-3676	291	6	!	!	PUNCT
ejpam-3676	292	1	=	=	PUNCT
ejpam-3676	292	2	eu(m1+	eu(m1+	NOUN
ejpam-3676	292	3	...	...	PUNCT
ejpam-3676	292	4	+mr−1	+mr−1	ADJ
ejpam-3676	292	5	)	)	PUNCT
ejpam-3676	292	6	.	.	PUNCT
ejpam-3676	293	1	thus	thus	ADV
ejpam-3676	293	2	,	,	PUNCT
ejpam-3676	293	3	∞∑	∞∑	PROPN
ejpam-3676	293	4	n=0	n=0	NUM
ejpam-3676	293	5	∞∑	∞∑	NUM
ejpam-3676	293	6	m=0	m=0	PROPN
ejpam-3676	293	7	s(m	s(m	PROPN
ejpam-3676	293	8	)	)	PUNCT
ejpam-3676	293	9	n	n	CCONJ
ejpam-3676	293	10	(	(	PUNCT
ejpam-3676	293	11	x	x	X
ejpam-3676	293	12	,	,	PUNCT
ejpam-3676	293	13	y	y	PROPN
ejpam-3676	293	14	;	;	PUNCT
ejpam-3676	293	15	a	a	DET
ejpam-3676	293	16	,	,	PUNCT
ejpam-3676	293	17	b	b	NOUN
ejpam-3676	293	18	,	,	PUNCT
ejpam-3676	293	19	c	c	NOUN
ejpam-3676	293	20	)	)	PUNCT
ejpam-3676	293	21	tn	tn	PROPN
ejpam-3676	293	22	n	n	PROPN
ejpam-3676	293	23	!	!	PUNCT
ejpam-3676	293	24	um	um	INTJ
ejpam-3676	293	25	m	m	NOUN
ejpam-3676	293	26	!	!	PUNCT
ejpam-3676	294	1	=	=	PUNCT
ejpam-3676	294	2	e	e	X
ejpam-3676	294	3	(	(	PUNCT
ejpam-3676	294	4	(	(	PUNCT
ejpam-3676	294	5	r−1)y	r−1)y	PROPN
ejpam-3676	294	6	ln	ln	NOUN
ejpam-3676	294	7	c+ln	c+ln	NOUN
ejpam-3676	294	8	a	a	DET
ejpam-3676	294	9	ln	ln	ADJ
ejpam-3676	294	10	a+ln	a+ln	NOUN
ejpam-3676	294	11	b	b	NOUN
ejpam-3676	294	12	)	)	PUNCT
ejpam-3676	294	13	u	u	NOUN
ejpam-3676	294	14	e	e	X
ejpam-3676	294	15	(	(	PUNCT
ejpam-3676	294	16	r−1	r−1	PROPN
ejpam-3676	294	17	)	)	PUNCT
ejpam-3676	294	18	(	(	PUNCT
ejpam-3676	294	19	(	(	PUNCT
ejpam-3676	294	20	r−1)x	r−1)x	X
ejpam-3676	294	21	ln	ln	NOUN
ejpam-3676	294	22	c+ln	c+ln	NOUN
ejpam-3676	294	23	a	a	DET
ejpam-3676	294	24	ln	ln	ADJ
ejpam-3676	294	25	a+ln	a+ln	NOUN
ejpam-3676	294	26	b	b	PROPN
ejpam-3676	294	27	)	)	PUNCT
ejpam-3676	294	28	t	t	NOUN
ejpam-3676	294	29	(	(	PUNCT
ejpam-3676	294	30	1	1	NUM
ejpam-3676	294	31	+	+	NUM
ejpam-3676	294	32	et)r−1	et)r−1	PROPN
ejpam-3676	294	33	∑	∑	PUNCT
ejpam-3676	294	34	0	0	NUM
ejpam-3676	294	35	<	<	X
ejpam-3676	294	36	m1	m1	X
ejpam-3676	294	37	<	<	X
ejpam-3676	294	38	m2<	m2<	PROPN
ejpam-3676	294	39	...	...	PUNCT
ejpam-3676	294	40	<mr−1	<mr−1	X
ejpam-3676	294	41	(	(	PUNCT
ejpam-3676	294	42	1−	1−	NUM
ejpam-3676	294	43	e−2t)mr−1eu(m1+	e−2t)mr−1eu(m1+	ADJ
ejpam-3676	294	44	...	...	PUNCT
ejpam-3676	295	1	+mr−1	+mr−1	X
ejpam-3676	295	2	)	)	PUNCT
ejpam-3676	296	1	=	=	SYM
ejpam-3676	296	2	e	e	X
ejpam-3676	296	3	(	(	PUNCT
ejpam-3676	296	4	(	(	PUNCT
ejpam-3676	296	5	r−1)y	r−1)y	PROPN
ejpam-3676	296	6	ln	ln	NOUN
ejpam-3676	296	7	c+ln	c+ln	NOUN
ejpam-3676	296	8	a	a	DET
ejpam-3676	296	9	ln	ln	ADJ
ejpam-3676	296	10	a+ln	a+ln	NOUN
ejpam-3676	296	11	b	b	NOUN
ejpam-3676	296	12	)	)	PUNCT
ejpam-3676	296	13	u	u	NOUN
ejpam-3676	296	14	e	e	X
ejpam-3676	296	15	(	(	PUNCT
ejpam-3676	296	16	r−1	r−1	PROPN
ejpam-3676	296	17	)	)	PUNCT
ejpam-3676	296	18	(	(	PUNCT
ejpam-3676	296	19	(	(	PUNCT
ejpam-3676	296	20	r−1)x	r−1)x	X
ejpam-3676	296	21	ln	ln	NOUN
ejpam-3676	296	22	c+ln	c+ln	NOUN
ejpam-3676	296	23	a	a	DET
ejpam-3676	296	24	ln	ln	ADJ
ejpam-3676	296	25	a+ln	a+ln	NOUN
ejpam-3676	296	26	b	b	PROPN
ejpam-3676	296	27	)	)	PUNCT
ejpam-3676	296	28	t	t	NOUN
ejpam-3676	296	29	(	(	PUNCT
ejpam-3676	296	30	1	1	NUM
ejpam-3676	296	31	+	+	NUM
ejpam-3676	296	32	et)r−1	et)r−1	PROPN
ejpam-3676	296	33	×	×	NOUN
ejpam-3676	296	34	references	reference	NOUN
ejpam-3676	296	35	456	456	NUM
ejpam-3676	296	36	×	×	NOUN
ejpam-3676	296	37	eu(1−	eu(1−	PROPN
ejpam-3676	296	38	e−2	e−2	PROPN
ejpam-3676	296	39	t	t	PROPN
ejpam-3676	296	40	)	)	PUNCT
ejpam-3676	296	41	1−	1−	NUM
ejpam-3676	297	1	eu(1−	eu(1−	PROPN
ejpam-3676	297	2	e−2	e−2	PROPN
ejpam-3676	297	3	t	t	PROPN
ejpam-3676	297	4	)	)	PUNCT
ejpam-3676	297	5	e2u(1−	e2u(1−	PROPN
ejpam-3676	297	6	e−2	e−2	PROPN
ejpam-3676	297	7	t	t	PROPN
ejpam-3676	297	8	)	)	PUNCT
ejpam-3676	297	9	1−	1−	NUM
ejpam-3676	298	1	e2u(1−	e2u(1−	PROPN
ejpam-3676	298	2	e−2	e−2	PROPN
ejpam-3676	298	3	t	t	PROPN
ejpam-3676	298	4	)	)	PUNCT
ejpam-3676	298	5	.	.	PUNCT
ejpam-3676	298	6	.	.	PUNCT
ejpam-3676	298	7	.	.	PUNCT
ejpam-3676	299	1	e(r−1)u(1−	e(r−1)u(1−	PROPN
ejpam-3676	299	2	e−2	e−2	PROPN
ejpam-3676	299	3	t	t	PROPN
ejpam-3676	299	4	)	)	PUNCT
ejpam-3676	299	5	1−	1−	NUM
ejpam-3676	299	6	e(r−1)u(1−	e(r−1)u(1−	PROPN
ejpam-3676	299	7	e−2	e−2	PROPN
ejpam-3676	299	8	t	t	PROPN
ejpam-3676	299	9	)	)	PUNCT
ejpam-3676	299	10	=	=	SYM
ejpam-3676	300	1	e	e	X
ejpam-3676	300	2	(	(	PUNCT
ejpam-3676	300	3	(	(	PUNCT
ejpam-3676	300	4	r−1)y	r−1)y	PROPN
ejpam-3676	300	5	ln	ln	NOUN
ejpam-3676	300	6	c+ln	c+ln	NOUN
ejpam-3676	300	7	a	a	DET
ejpam-3676	300	8	ln	ln	ADJ
ejpam-3676	300	9	a+ln	a+ln	NOUN
ejpam-3676	300	10	b	b	NOUN
ejpam-3676	300	11	)	)	PUNCT
ejpam-3676	300	12	u	u	NOUN
ejpam-3676	300	13	e	e	X
ejpam-3676	300	14	(	(	PUNCT
ejpam-3676	300	15	r−1	r−1	PROPN
ejpam-3676	300	16	)	)	PUNCT
ejpam-3676	300	17	(	(	PUNCT
ejpam-3676	300	18	(	(	PUNCT
ejpam-3676	300	19	r−1)x	r−1)x	X
ejpam-3676	300	20	ln	ln	NOUN
ejpam-3676	300	21	c+ln	c+ln	NOUN
ejpam-3676	300	22	a	a	DET
ejpam-3676	300	23	ln	ln	ADJ
ejpam-3676	300	24	a+ln	a+ln	NOUN
ejpam-3676	300	25	b	b	PROPN
ejpam-3676	300	26	)	)	PUNCT
ejpam-3676	300	27	t	t	NOUN
ejpam-3676	300	28	e	e	PROPN
ejpam-3676	300	29	(	(	PUNCT
ejpam-3676	300	30	r	r	NOUN
ejpam-3676	300	31	2)u(1−	2)u(1−	NUM
ejpam-3676	300	32	e−2t)r−1	e−2t)r−1	NOUN
ejpam-3676	300	33	(	(	PUNCT
ejpam-3676	300	34	1	1	NUM
ejpam-3676	300	35	+	+	NUM
ejpam-3676	300	36	et)r−1	et)r−1	PROPN
ejpam-3676	300	37	∏r−1	∏r−1	PROPN
ejpam-3676	300	38	i=1	i=1	PROPN
ejpam-3676	301	1	(	(	PUNCT
ejpam-3676	301	2	1−	1−	NUM
ejpam-3676	301	3	eiu(1−	eiu(1−	PROPN
ejpam-3676	301	4	e−2	e−2	PROPN
ejpam-3676	301	5	t	t	PROPN
ejpam-3676	301	6	)	)	PUNCT
ejpam-3676	301	7	)	)	PUNCT
ejpam-3676	302	1	=	=	PUNCT
ejpam-3676	302	2	e	e	X
ejpam-3676	302	3	(	(	PUNCT
ejpam-3676	302	4	(	(	PUNCT
ejpam-3676	302	5	r−1)y	r−1)y	PROPN
ejpam-3676	302	6	ln	ln	NOUN
ejpam-3676	302	7	c+ln	c+ln	NOUN
ejpam-3676	302	8	a	a	DET
ejpam-3676	302	9	ln	ln	ADJ
ejpam-3676	302	10	a+ln	a+ln	NOUN
ejpam-3676	302	11	b	b	NOUN
ejpam-3676	302	12	)	)	PUNCT
ejpam-3676	302	13	u	u	NOUN
ejpam-3676	302	14	e	e	X
ejpam-3676	302	15	(	(	PUNCT
ejpam-3676	302	16	r−1	r−1	PROPN
ejpam-3676	302	17	)	)	PUNCT
ejpam-3676	302	18	(	(	PUNCT
ejpam-3676	302	19	(	(	PUNCT
ejpam-3676	302	20	r−1)x	r−1)x	X
ejpam-3676	302	21	ln	ln	NOUN
ejpam-3676	302	22	c+ln	c+ln	NOUN
ejpam-3676	302	23	a	a	DET
ejpam-3676	302	24	ln	ln	ADJ
ejpam-3676	302	25	a+ln	a+ln	NOUN
ejpam-3676	302	26	b	b	PROPN
ejpam-3676	302	27	)	)	PUNCT
ejpam-3676	302	28	t	t	NOUN
ejpam-3676	302	29	e	e	PROPN
ejpam-3676	302	30	(	(	PUNCT
ejpam-3676	302	31	r	r	NOUN
ejpam-3676	302	32	2)u+2(r−1)t(1−	2)u+2(r−1)t(1−	NUM
ejpam-3676	302	33	e−2t)r−1	e−2t)r−1	PROPN
ejpam-3676	302	34	(	(	PUNCT
ejpam-3676	302	35	1	1	NUM
ejpam-3676	302	36	+	+	NUM
ejpam-3676	302	37	et)r−1	et)r−1	PROPN
ejpam-3676	302	38	∏r−1	∏r−1	PROPN
ejpam-3676	302	39	i=1	i=1	PROPN
ejpam-3676	302	40	(	(	PUNCT
ejpam-3676	302	41	e2	e2	PROPN
ejpam-3676	302	42	t	t	PROPN
ejpam-3676	302	43	+	+	PROPN
ejpam-3676	302	44	eiu	eiu	PROPN
ejpam-3676	302	45	−	−	PROPN
ejpam-3676	302	46	e2t+iu	e2t+iu	PROPN
ejpam-3676	302	47	)	)	PUNCT
ejpam-3676	302	48	.	.	PUNCT
ejpam-3676	303	1	4	4	X
ejpam-3676	303	2	.	.	X
ejpam-3676	303	3	conclusion	conclusion	NOUN
ejpam-3676	303	4	this	this	DET
ejpam-3676	303	5	paper	paper	NOUN
ejpam-3676	303	6	introduces	introduce	VERB
ejpam-3676	303	7	certain	certain	ADJ
ejpam-3676	303	8	generalization	generalization	NOUN
ejpam-3676	303	9	of	of	ADP
ejpam-3676	303	10	poly	poly	ADJ
ejpam-3676	303	11	-	-	PUNCT
ejpam-3676	303	12	genocchi	genocchi	NOUN
ejpam-3676	303	13	polynomials	polynomial	NOUN
ejpam-3676	303	14	,	,	PUNCT
ejpam-3676	303	15	called	call	VERB
ejpam-3676	303	16	multi	multi	ADJ
ejpam-3676	303	17	poly	poly	ADJ
ejpam-3676	303	18	-	-	PUNCT
ejpam-3676	303	19	genocchi	genocchi	NOUN
ejpam-3676	303	20	polynomials	polynomial	NOUN
ejpam-3676	303	21	,	,	PUNCT
ejpam-3676	303	22	using	use	VERB
ejpam-3676	303	23	the	the	DET
ejpam-3676	303	24	concept	concept	NOUN
ejpam-3676	303	25	of	of	ADP
ejpam-3676	303	26	multiple	multiple	ADJ
ejpam-3676	303	27	polylogarithm	polylogarithm	NOUN
ejpam-3676	303	28	and	and	CCONJ
ejpam-3676	303	29	explore	explore	VERB
ejpam-3676	303	30	some	some	DET
ejpam-3676	303	31	interesting	interesting	ADJ
ejpam-3676	303	32	properties	property	NOUN
ejpam-3676	303	33	and	and	CCONJ
ejpam-3676	303	34	identities	identity	NOUN
ejpam-3676	303	35	which	which	PRON
ejpam-3676	303	36	are	be	AUX
ejpam-3676	303	37	analogous	analogous	ADJ
ejpam-3676	303	38	to	to	ADP
ejpam-3676	303	39	those	those	PRON
ejpam-3676	303	40	of	of	ADP
ejpam-3676	303	41	the	the	DET
ejpam-3676	303	42	multi	multi	ADJ
ejpam-3676	303	43	-	-	ADJ
ejpam-3676	303	44	poly	poly	ADJ
ejpam-3676	303	45	-	-	PUNCT
ejpam-3676	303	46	euler	euler	NOUN
ejpam-3676	303	47	polynomials	polynomial	NOUN
ejpam-3676	303	48	and	and	CCONJ
ejpam-3676	303	49	multi	multi	ADJ
ejpam-3676	303	50	-	-	ADJ
ejpam-3676	303	51	poly	poly	ADJ
ejpam-3676	303	52	-	-	PUNCT
ejpam-3676	303	53	bernoulli	bernoulli	NOUN
ejpam-3676	303	54	polynomials	polynomial	NOUN
ejpam-3676	303	55	.	.	PUNCT
ejpam-3676	304	1	one	one	NUM
ejpam-3676	304	2	of	of	ADP
ejpam-3676	304	3	these	these	PRON
ejpam-3676	304	4	is	be	AUX
ejpam-3676	304	5	the	the	DET
ejpam-3676	304	6	differential	differential	ADJ
ejpam-3676	304	7	identity	identity	NOUN
ejpam-3676	304	8	that	that	PRON
ejpam-3676	304	9	helps	help	VERB
ejpam-3676	304	10	classify	classify	VERB
ejpam-3676	304	11	the	the	DET
ejpam-3676	304	12	multi	multi	ADJ
ejpam-3676	304	13	poly	poly	ADJ
ejpam-3676	304	14	-	-	PUNCT
ejpam-3676	304	15	genocchi	genocchi	NOUN
ejpam-3676	304	16	polynomials	polynomial	NOUN
ejpam-3676	304	17	as	as	ADP
ejpam-3676	304	18	an	an	DET
ejpam-3676	304	19	appell	appell	ADJ
ejpam-3676	304	20	polynomial	polynomial	NOUN
ejpam-3676	304	21	,	,	PUNCT
ejpam-3676	304	22	which	which	PRON
ejpam-3676	304	23	implies	imply	VERB
ejpam-3676	304	24	some	some	DET
ejpam-3676	304	25	interesting	interesting	ADJ
ejpam-3676	304	26	relations	relation	NOUN
ejpam-3676	304	27	.	.	PUNCT
ejpam-3676	305	1	moreover	moreover	ADV
ejpam-3676	305	2	,	,	PUNCT
ejpam-3676	305	3	the	the	DET
ejpam-3676	305	4	multi	multi	ADJ
ejpam-3676	305	5	poly	poly	ADJ
ejpam-3676	305	6	-	-	PUNCT
ejpam-3676	305	7	genocchi	genocchi	NOUN
ejpam-3676	305	8	polynomials	polynomial	NOUN
ejpam-3676	305	9	are	be	AUX
ejpam-3676	305	10	expressed	express	VERB
ejpam-3676	305	11	in	in	ADP
ejpam-3676	305	12	terms	term	NOUN
ejpam-3676	305	13	of	of	ADP
ejpam-3676	305	14	multiple	multiple	ADJ
ejpam-3676	305	15	parameters	parameter	NOUN
ejpam-3676	305	16	poly	poly	ADJ
ejpam-3676	305	17	-	-	PUNCT
ejpam-3676	305	18	bernoulli	bernoulli	NOUN
ejpam-3676	305	19	polynomials	polynomial	NOUN
ejpam-3676	305	20	.	.	PUNCT
ejpam-3676	306	1	this	this	DET
ejpam-3676	306	2	paper	paper	NOUN
ejpam-3676	306	3	is	be	AUX
ejpam-3676	306	4	concluded	conclude	VERB
ejpam-3676	306	5	by	by	ADP
ejpam-3676	306	6	introducing	introduce	VERB
ejpam-3676	306	7	the	the	DET
ejpam-3676	306	8	symmetrized	symmetrized	ADJ
ejpam-3676	306	9	generalization	generalization	NOUN
ejpam-3676	306	10	of	of	ADP
ejpam-3676	306	11	multi	multi	ADJ
ejpam-3676	306	12	poly	poly	ADJ
ejpam-3676	306	13	-	-	PUNCT
ejpam-3676	306	14	genocchi	genocchi	NOUN
ejpam-3676	306	15	polynomials	polynomial	NOUN
ejpam-3676	306	16	and	and	CCONJ
ejpam-3676	306	17	by	by	ADP
ejpam-3676	306	18	deriving	derive	VERB
ejpam-3676	306	19	its	its	PRON
ejpam-3676	306	20	double	double	ADJ
ejpam-3676	306	21	generating	generating	NOUN
ejpam-3676	306	22	function	function	NOUN
ejpam-3676	306	23	.	.	PUNCT
ejpam-3676	307	1	references	reference	NOUN
ejpam-3676	307	2	[	[	X
ejpam-3676	307	3	1	1	NUM
ejpam-3676	307	4	]	]	PUNCT
ejpam-3676	307	5	m.	m.	NOUN
ejpam-3676	307	6	abramowitz	abramowitz	PROPN
ejpam-3676	307	7	and	and	CCONJ
ejpam-3676	307	8	i	i	PRON
ejpam-3676	307	9	stegun	stegun	VERB
ejpam-3676	307	10	.	.	PUNCT
ejpam-3676	308	1	handbook	handbook	NOUN
ejpam-3676	308	2	of	of	ADP
ejpam-3676	308	3	mathematical	mathematical	ADJ
ejpam-3676	308	4	functions	function	NOUN
ejpam-3676	308	5	.	.	PUNCT
ejpam-3676	309	1	dover	dover	PROPN
ejpam-3676	309	2	,	,	PUNCT
ejpam-3676	309	3	new	new	PROPN
ejpam-3676	309	4	york	york	PROPN
ejpam-3676	309	5	,	,	PUNCT
ejpam-3676	309	6	1970	1970	NUM
ejpam-3676	309	7	.	.	PUNCT
ejpam-3676	310	1	[	[	X
ejpam-3676	310	2	2	2	NUM
ejpam-3676	310	3	]	]	PUNCT
ejpam-3676	310	4	t	t	PROPN
ejpam-3676	310	5	agoh	agoh	NOUN
ejpam-3676	310	6	.	.	PUNCT
ejpam-3676	311	1	convolution	convolution	NOUN
ejpam-3676	311	2	identities	identity	NOUN
ejpam-3676	311	3	for	for	ADP
ejpam-3676	311	4	bernoulli	bernoulli	PROPN
ejpam-3676	311	5	and	and	CCONJ
ejpam-3676	311	6	genocchi	genocchi	PROPN
ejpam-3676	311	7	polynomials	polynomial	NOUN
ejpam-3676	311	8	.	.	PUNCT
ejpam-3676	312	1	electronic	electronic	ADJ
ejpam-3676	312	2	j.	j.	PROPN
ejpam-3676	312	3	combin	combin	PROPN
ejpam-3676	312	4	.	.	PROPN
ejpam-3676	312	5	,	,	PUNCT
ejpam-3676	312	6	21	21	NUM
ejpam-3676	312	7	:	:	PUNCT
ejpam-3676	312	8	article	article	NOUN
ejpam-3676	312	9	i	i	PROPN
ejpam-3676	312	10	d	d	PROPN
ejpam-3676	312	11	p1.65	p1.65	PROPN
ejpam-3676	312	12	,	,	PUNCT
ejpam-3676	312	13	2014	2014	NUM
ejpam-3676	312	14	.	.	PUNCT
ejpam-3676	313	1	[	[	X
ejpam-3676	313	2	3	3	NUM
ejpam-3676	313	3	]	]	X
ejpam-3676	313	4	s	s	PART
ejpam-3676	313	5	araci	araci	NOUN
ejpam-3676	313	6	.	.	PUNCT
ejpam-3676	314	1	novel	novel	ADJ
ejpam-3676	314	2	identities	identity	NOUN
ejpam-3676	314	3	for	for	ADP
ejpam-3676	314	4	q	q	ADJ
ejpam-3676	314	5	-	-	ADJ
ejpam-3676	314	6	genocchi	genocchi	ADJ
ejpam-3676	314	7	numbers	number	NOUN
ejpam-3676	314	8	and	and	CCONJ
ejpam-3676	314	9	polynomials	polynomial	NOUN
ejpam-3676	314	10	.	.	PUNCT
ejpam-3676	315	1	j.	j.	PROPN
ejpam-3676	315	2	funct.spaces	funct.space	NOUN
ejpam-3676	315	3	appl	appl	PROPN
ejpam-3676	315	4	.	.	PUNCT
ejpam-3676	315	5	,	,	PUNCT
ejpam-3676	315	6	2012	2012	NUM
ejpam-3676	315	7	:	:	PUNCT
ejpam-3676	315	8	article	article	NOUN
ejpam-3676	315	9	i	i	PROPN
ejpam-3676	315	10	d	d	PROPN
ejpam-3676	315	11	214961	214961	NUM
ejpam-3676	315	12	,	,	PUNCT
ejpam-3676	315	13	2012	2012	NUM
ejpam-3676	315	14	.	.	PUNCT
ejpam-3676	316	1	[	[	X
ejpam-3676	316	2	4	4	X
ejpam-3676	316	3	]	]	PUNCT
ejpam-3676	316	4	s.	s.	PROPN
ejpam-3676	316	5	araci	araci	PROPN
ejpam-3676	316	6	.	.	PUNCT
ejpam-3676	317	1	novel	novel	ADJ
ejpam-3676	317	2	identities	identity	NOUN
ejpam-3676	317	3	involving	involve	VERB
ejpam-3676	317	4	genocchi	genocchi	PROPN
ejpam-3676	317	5	numbers	number	NOUN
ejpam-3676	317	6	and	and	CCONJ
ejpam-3676	317	7	polynomials	polynomial	NOUN
ejpam-3676	317	8	arising	arise	VERB
ejpam-3676	317	9	from	from	ADP
ejpam-3676	317	10	application	application	NOUN
ejpam-3676	317	11	of	of	ADP
ejpam-3676	317	12	umbral	umbral	ADJ
ejpam-3676	317	13	calculus	calculus	NOUN
ejpam-3676	317	14	.	.	PUNCT
ejpam-3676	318	1	appl	appl	PROPN
ejpam-3676	318	2	.	.	PROPN
ejpam-3676	318	3	math	math	PROPN
ejpam-3676	318	4	.	.	PUNCT
ejpam-3676	319	1	comput	comput	NOUN
ejpam-3676	319	2	.	.	PUNCT
ejpam-3676	319	3	,	,	PUNCT
ejpam-3676	319	4	247:780–785	247:780–785	NUM
ejpam-3676	319	5	,	,	PUNCT
ejpam-3676	319	6	2014	2014	NUM
ejpam-3676	319	7	.	.	PUNCT
ejpam-3676	320	1	[	[	X
ejpam-3676	320	2	5	5	NUM
ejpam-3676	320	3	]	]	PUNCT
ejpam-3676	320	4	t	t	PROPN
ejpam-3676	320	5	kim	kim	PROPN
ejpam-3676	320	6	ds	ds	PROPN
ejpam-3676	320	7	kim	kim	PROPN
ejpam-3676	320	8	,	,	PUNCT
ejpam-3676	320	9	dv	dv	PROPN
ejpam-3676	320	10	dolgy	dolgy	VERB
ejpam-3676	320	11	and	and	CCONJ
ejpam-3676	320	12	sh	sh	PROPN
ejpam-3676	320	13	rim	rim	PROPN
ejpam-3676	320	14	.	.	PUNCT
ejpam-3676	321	1	some	some	DET
ejpam-3676	321	2	formula	formula	NOUN
ejpam-3676	321	3	for	for	ADP
ejpam-3676	321	4	the	the	DET
ejpam-3676	321	5	product	product	NOUN
ejpam-3676	321	6	of	of	ADP
ejpam-3676	321	7	two	two	NUM
ejpam-3676	321	8	bernoulli	bernoulli	NOUN
ejpam-3676	321	9	and	and	CCONJ
ejpam-3676	321	10	euler	euler	NOUN
ejpam-3676	321	11	polynomials	polynomial	NOUN
ejpam-3676	321	12	.	.	PUNCT
ejpam-3676	322	1	abstr	abstr	PROPN
ejpam-3676	322	2	.	.	PUNCT
ejpam-3676	322	3	appl	appl	PROPN
ejpam-3676	322	4	.	.	PUNCT
ejpam-3676	323	1	anal	anal	PROPN
ejpam-3676	323	2	.	.	PROPN
ejpam-3676	323	3	,	,	PUNCT
ejpam-3676	323	4	2012	2012	NUM
ejpam-3676	323	5	:	:	PUNCT
ejpam-3676	323	6	article	article	NOUN
ejpam-3676	323	7	i	i	PROPN
ejpam-3676	323	8	d	d	PROPN
ejpam-3676	323	9	784307	784307	NUM
ejpam-3676	323	10	,	,	PUNCT
ejpam-3676	323	11	15	15	NUM
ejpam-3676	323	12	pages	page	NOUN
ejpam-3676	323	13	,	,	PUNCT
ejpam-3676	323	14	2012	2012	NUM
ejpam-3676	323	15	.	.	PUNCT
ejpam-3676	324	1	[	[	X
ejpam-3676	324	2	6	6	NUM
ejpam-3676	324	3	]	]	PUNCT
ejpam-3676	324	4	m	m	VERB
ejpam-3676	324	5	acikgoz	acikgoz	ADJ
ejpam-3676	324	6	e	e	X
ejpam-3676	324	7	ayguz	ayguz	NOUN
ejpam-3676	324	8	and	and	CCONJ
ejpam-3676	324	9	s	s	PROPN
ejpam-3676	324	10	araci	araci	NOUN
ejpam-3676	324	11	.	.	PUNCT
ejpam-3676	325	1	a	a	DET
ejpam-3676	325	2	symmetric	symmetric	ADJ
ejpam-3676	325	3	identity	identity	NOUN
ejpam-3676	325	4	on	on	ADP
ejpam-3676	325	5	the	the	DET
ejpam-3676	325	6	q	q	NOUN
ejpam-3676	325	7	-	-	ADJ
ejpam-3676	325	8	genocchi	genocchi	ADJ
ejpam-3676	325	9	polynomials	polynomial	NOUN
ejpam-3676	325	10	of	of	ADP
ejpam-3676	325	11	higher	high	ADJ
ejpam-3676	325	12	-	-	PUNCT
ejpam-3676	325	13	order	order	NOUN
ejpam-3676	325	14	under	under	ADP
ejpam-3676	325	15	third	third	ADJ
ejpam-3676	325	16	dihedral	dihedral	PROPN
ejpam-3676	325	17	group	group	NOUN
ejpam-3676	325	18	d3	d3	PROPN
ejpam-3676	325	19	.	.	PUNCT
ejpam-3676	326	1	proc	proc	PROPN
ejpam-3676	326	2	.	.	PUNCT
ejpam-3676	327	1	jangjeon	jangjeon	PROPN
ejpam-3676	327	2	math	math	PROPN
ejpam-3676	327	3	.	.	PUNCT
ejpam-3676	328	1	soc	soc	PROPN
ejpam-3676	328	2	.	.	PUNCT
ejpam-3676	328	3	,	,	PUNCT
ejpam-3676	328	4	18(2):177	18(2):177	NUM
ejpam-3676	328	5	–	–	PUNCT
ejpam-3676	328	6	187	187	NUM
ejpam-3676	328	7	,	,	PUNCT
ejpam-3676	328	8	2015	2015	NUM
ejpam-3676	328	9	.	.	PUNCT
ejpam-3676	329	1	references	reference	NOUN
ejpam-3676	329	2	457	457	NUM
ejpam-3676	330	1	[	[	X
ejpam-3676	330	2	7	7	NUM
ejpam-3676	330	3	]	]	X
ejpam-3676	330	4	y	y	PROPN
ejpam-3676	330	5	he	he	PRON
ejpam-3676	330	6	.	.	PUNCT
ejpam-3676	331	1	some	some	DET
ejpam-3676	331	2	new	new	ADJ
ejpam-3676	331	3	results	result	NOUN
ejpam-3676	331	4	on	on	ADP
ejpam-3676	331	5	products	product	NOUN
ejpam-3676	331	6	of	of	ADP
ejpam-3676	331	7	the	the	DET
ejpam-3676	331	8	apostol	apostol	NOUN
ejpam-3676	331	9	-	-	PUNCT
ejpam-3676	331	10	genocchi	genocchi	PROPN
ejpam-3676	331	11	polynomials	polynomial	NOUN
ejpam-3676	331	12	.	.	PUNCT
ejpam-3676	332	1	j.	j.	PROPN
ejpam-3676	332	2	comput	comput	PROPN
ejpam-3676	332	3	.	.	PUNCT
ejpam-3676	333	1	anal	anal	PROPN
ejpam-3676	333	2	.	.	PUNCT
ejpam-3676	333	3	appl	appl	PROPN
ejpam-3676	333	4	.	.	PROPN
ejpam-3676	333	5	,	,	PUNCT
ejpam-3676	333	6	22(4):591–600	22(4):591–600	PROPN
ejpam-3676	333	7	,	,	PUNCT
ejpam-3676	333	8	2017	2017	NUM
ejpam-3676	333	9	.	.	PUNCT
ejpam-3676	334	1	[	[	X
ejpam-3676	334	2	8	8	NUM
ejpam-3676	334	3	]	]	X
ejpam-3676	334	4	y	y	PROPN
ejpam-3676	334	5	he	he	PRON
ejpam-3676	334	6	and	and	CCONJ
ejpam-3676	334	7	t	t	PROPN
ejpam-3676	334	8	kim	kim	PROPN
ejpam-3676	334	9	.	.	PUNCT
ejpam-3676	335	1	general	general	ADJ
ejpam-3676	335	2	convolution	convolution	NOUN
ejpam-3676	335	3	identities	identity	NOUN
ejpam-3676	335	4	of	of	ADP
ejpam-3676	335	5	apostol	apostol	NOUN
ejpam-3676	335	6	-	-	PUNCT
ejpam-3676	335	7	benoulli	benoulli	NOUN
ejpam-3676	335	8	,	,	PUNCT
ejpam-3676	335	9	euler	euler	NOUN
ejpam-3676	335	10	and	and	CCONJ
ejpam-3676	335	11	genocchi	genocchi	PROPN
ejpam-3676	335	12	polynomials	polynomial	NOUN
ejpam-3676	335	13	.	.	PUNCT
ejpam-3676	336	1	j.	j.	PROPN
ejpam-3676	336	2	nonlinear	nonlinear	PROPN
ejpam-3676	336	3	sci	sci	PROPN
ejpam-3676	336	4	.	.	PUNCT
ejpam-3676	336	5	appl	appl	PROPN
ejpam-3676	336	6	.	.	PROPN
ejpam-3676	336	7	,	,	PUNCT
ejpam-3676	336	8	9:4780–4797	9:4780–4797	NUM
ejpam-3676	336	9	,	,	PUNCT
ejpam-3676	336	10	2016	2016	NUM
ejpam-3676	336	11	.	.	PUNCT
ejpam-3676	337	1	[	[	X
ejpam-3676	337	2	9	9	NUM
ejpam-3676	337	3	]	]	SYM
ejpam-3676	337	4	m	m	VERB
ejpam-3676	337	5	kaneko	kaneko	PROPN
ejpam-3676	337	6	k	k	PROPN
ejpam-3676	337	7	imatomi	imatomi	PROPN
ejpam-3676	337	8	and	and	CCONJ
ejpam-3676	337	9	e	e	PROPN
ejpam-3676	337	10	takeda	takeda	PROPN
ejpam-3676	337	11	.	.	PUNCT
ejpam-3676	338	1	multi	multi	ADJ
ejpam-3676	338	2	-	-	ADJ
ejpam-3676	338	3	poly	poly	ADJ
ejpam-3676	338	4	-	-	PUNCT
ejpam-3676	338	5	bernoulli	bernoulli	NOUN
ejpam-3676	338	6	numbers	number	NOUN
ejpam-3676	338	7	and	and	CCONJ
ejpam-3676	338	8	finite	finite	VERB
ejpam-3676	338	9	multiple	multiple	ADJ
ejpam-3676	338	10	zeta	zeta	NOUN
ejpam-3676	338	11	values	value	NOUN
ejpam-3676	338	12	.	.	PUNCT
ejpam-3676	339	1	j.	j.	PROPN
ejpam-3676	339	2	integer	integer	PROPN
ejpam-3676	339	3	seq	seq	PROPN
ejpam-3676	339	4	.	.	PROPN
ejpam-3676	339	5	,	,	PUNCT
ejpam-3676	339	6	17	17	NUM
ejpam-3676	339	7	:	:	PUNCT
ejpam-3676	339	8	article	article	NOUN
ejpam-3676	339	9	14.4.5	14.4.5	PROPN
ejpam-3676	339	10	,	,	PUNCT
ejpam-3676	339	11	2014	2014	NUM
ejpam-3676	339	12	.	.	PUNCT
ejpam-3676	340	1	[	[	X
ejpam-3676	340	2	10	10	NUM
ejpam-3676	340	3	]	]	X
ejpam-3676	340	4	m	m	VERB
ejpam-3676	340	5	kaneko	kaneko	PROPN
ejpam-3676	340	6	.	.	PUNCT
ejpam-3676	340	7	poly	poly	ADJ
ejpam-3676	340	8	-	-	PUNCT
ejpam-3676	340	9	bernoulli	bernoulli	NOUN
ejpam-3676	340	10	numbers	number	NOUN
ejpam-3676	340	11	.	.	PUNCT
ejpam-3676	341	1	j.	j.	PROPN
ejpam-3676	341	2	theorie	theorie	PROPN
ejpam-3676	341	3	de	de	PROPN
ejpam-3676	341	4	nombres	nombres	PROPN
ejpam-3676	341	5	,	,	PUNCT
ejpam-3676	341	6	9:221–228	9:221–228	PROPN
ejpam-3676	341	7	,	,	PUNCT
ejpam-3676	341	8	1997	1997	NUM
ejpam-3676	341	9	.	.	PUNCT
ejpam-3676	342	1	[	[	X
ejpam-3676	342	2	11	11	NUM
ejpam-3676	342	3	]	]	X
ejpam-3676	342	4	ds	ds	PROPN
ejpam-3676	342	5	kim	kim	PROPN
ejpam-3676	342	6	and	and	CCONJ
ejpam-3676	342	7	t	t	PROPN
ejpam-3676	342	8	kim	kim	PROPN
ejpam-3676	342	9	.	.	PUNCT
ejpam-3676	343	1	some	some	DET
ejpam-3676	343	2	identities	identity	NOUN
ejpam-3676	343	3	of	of	ADP
ejpam-3676	343	4	higher	high	ADJ
ejpam-3676	343	5	-	-	PUNCT
ejpam-3676	343	6	order	order	NOUN
ejpam-3676	343	7	euler	euler	NOUN
ejpam-3676	343	8	polynomials	polynomial	NOUN
ejpam-3676	343	9	arising	arise	VERB
ejpam-3676	343	10	from	from	ADP
ejpam-3676	343	11	euler	euler	NOUN
ejpam-3676	343	12	basis	basis	NOUN
ejpam-3676	343	13	.	.	PUNCT
ejpam-3676	344	1	integral	integral	ADJ
ejpam-3676	344	2	transforms	transform	VERB
ejpam-3676	344	3	spec	spec	NOUN
ejpam-3676	344	4	.	.	PUNCT
ejpam-3676	345	1	funct	funct	PROPN
ejpam-3676	345	2	.	.	PROPN
ejpam-3676	345	3	,	,	PUNCT
ejpam-3676	345	4	24	24	NUM
ejpam-3676	345	5	,	,	PUNCT
ejpam-3676	345	6	2013	2013	NUM
ejpam-3676	345	7	.	.	PUNCT
ejpam-3676	346	1	[	[	X
ejpam-3676	346	2	12	12	NUM
ejpam-3676	346	3	]	]	PUNCT
ejpam-3676	346	4	t	t	PROPN
ejpam-3676	346	5	kim	kim	PROPN
ejpam-3676	346	6	.	.	PUNCT
ejpam-3676	347	1	some	some	DET
ejpam-3676	347	2	identities	identity	NOUN
ejpam-3676	347	3	for	for	ADP
ejpam-3676	347	4	the	the	DET
ejpam-3676	347	5	bernoulli	bernoulli	NOUN
ejpam-3676	347	6	,	,	PUNCT
ejpam-3676	347	7	the	the	DET
ejpam-3676	347	8	euler	euler	NOUN
ejpam-3676	347	9	and	and	CCONJ
ejpam-3676	347	10	the	the	DET
ejpam-3676	347	11	genocchi	genocchi	PROPN
ejpam-3676	347	12	numbers	number	NOUN
ejpam-3676	347	13	and	and	CCONJ
ejpam-3676	347	14	polynomials	polynomial	NOUN
ejpam-3676	347	15	.	.	PUNCT
ejpam-3676	348	1	adv	adv	PROPN
ejpam-3676	348	2	.	.	PUNCT
ejpam-3676	348	3	stud	stud	PROPN
ejpam-3676	348	4	.	.	PUNCT
ejpam-3676	349	1	contemp	contemp	NOUN
ejpam-3676	349	2	.	.	PUNCT
ejpam-3676	350	1	math	math	NOUN
ejpam-3676	350	2	.	.	PUNCT
ejpam-3676	350	3	,	,	PUNCT
ejpam-3676	350	4	20(1):23–28	20(1):23–28	NUM
ejpam-3676	350	5	,	,	PUNCT
ejpam-3676	350	6	2010	2010	NUM
ejpam-3676	350	7	.	.	PUNCT
ejpam-3676	351	1	[	[	X
ejpam-3676	351	2	13	13	NUM
ejpam-3676	351	3	]	]	SYM
ejpam-3676	351	4	b	b	X
ejpam-3676	351	5	kurt	kurt	NOUN
ejpam-3676	351	6	.	.	PUNCT
ejpam-3676	352	1	some	some	DET
ejpam-3676	352	2	identities	identity	NOUN
ejpam-3676	352	3	for	for	ADP
ejpam-3676	352	4	the	the	DET
ejpam-3676	352	5	generalized	generalize	VERB
ejpam-3676	352	6	poly	poly	ADJ
ejpam-3676	352	7	-	-	PUNCT
ejpam-3676	352	8	genocchi	genocchi	NOUN
ejpam-3676	352	9	polynomials	polynomial	NOUN
ejpam-3676	352	10	with	with	ADP
ejpam-3676	352	11	the	the	DET
ejpam-3676	352	12	parameters	parameter	NOUN
ejpam-3676	352	13	a	a	PRON
ejpam-3676	352	14	,	,	PUNCT
ejpam-3676	352	15	b	b	PROPN
ejpam-3676	352	16	and	and	CCONJ
ejpam-3676	352	17	c.	c.	PROPN
ejpam-3676	352	18	journal	journal	PROPN
ejpam-3676	352	19	of	of	ADP
ejpam-3676	352	20	math	math	NOUN
ejpam-3676	352	21	.	.	PUNCT
ejpam-3676	353	1	anal	anal	PROPN
ejpam-3676	353	2	.	.	PROPN
ejpam-3676	353	3	,	,	PUNCT
ejpam-3676	353	4	8(1):156–163	8(1):156–163	NUM
ejpam-3676	353	5	,	,	PUNCT
ejpam-3676	353	6	2017	2017	NUM
ejpam-3676	353	7	.	.	PUNCT
ejpam-3676	354	1	[	[	X
ejpam-3676	354	2	14	14	NUM
ejpam-3676	354	3	]	]	X
ejpam-3676	354	4	dw	dw	PROPN
ejpam-3676	354	5	lee	lee	PROPN
ejpam-3676	354	6	.	.	PUNCT
ejpam-3676	355	1	on	on	ADP
ejpam-3676	355	2	multiple	multiple	ADJ
ejpam-3676	355	3	appell	appell	ADJ
ejpam-3676	355	4	polynomials	polynomial	NOUN
ejpam-3676	355	5	.	.	PUNCT
ejpam-3676	356	1	proc	proc	NOUN
ejpam-3676	356	2	.	.	PUNCT
ejpam-3676	357	1	amer	amer	PROPN
ejpam-3676	357	2	.	.	PUNCT
ejpam-3676	357	3	math	math	PROPN
ejpam-3676	357	4	.	.	PUNCT
ejpam-3676	358	1	soc	soc	PROPN
ejpam-3676	358	2	.	.	PUNCT
ejpam-3676	358	3	,	,	PUNCT
ejpam-3676	358	4	139:2133–2141	139:2133–2141	NUM
ejpam-3676	358	5	,	,	PUNCT
ejpam-3676	358	6	2011	2011	NUM
ejpam-3676	358	7	.	.	PUNCT
ejpam-3676	359	1	[	[	X
ejpam-3676	359	2	15	15	NUM
ejpam-3676	359	3	]	]	X
ejpam-3676	359	4	d	d	X
ejpam-3676	359	5	lim	lim	PROPN
ejpam-3676	359	6	.	.	PUNCT
ejpam-3676	360	1	some	some	DET
ejpam-3676	360	2	identities	identity	NOUN
ejpam-3676	360	3	of	of	ADP
ejpam-3676	360	4	degenerate	degenerate	ADJ
ejpam-3676	360	5	genocchi	genocchi	NOUN
ejpam-3676	360	6	polynomials	polynomial	NOUN
ejpam-3676	360	7	.	.	PUNCT
ejpam-3676	361	1	bull	bull	NOUN
ejpam-3676	361	2	.	.	PUNCT
ejpam-3676	362	1	korean	korean	PROPN
ejpam-3676	362	2	math.soc	math.soc	PROPN
ejpam-3676	362	3	.	.	PROPN
ejpam-3676	362	4	,	,	PUNCT
ejpam-3676	362	5	53(2):569–579	53(2):569–579	PROPN
ejpam-3676	362	6	,	,	PUNCT
ejpam-3676	362	7	2016	2016	NUM
ejpam-3676	362	8	.	.	PUNCT
ejpam-3676	363	1	[	[	X
ejpam-3676	363	2	16	16	NUM
ejpam-3676	363	3	]	]	X
ejpam-3676	363	4	c	c	NOUN
ejpam-3676	363	5	corcino	corcino	PROPN
ejpam-3676	363	6	r	r	NOUN
ejpam-3676	363	7	corcino	corcino	NOUN
ejpam-3676	363	8	,	,	PUNCT
ejpam-3676	363	9	h	h	NOUN
ejpam-3676	363	10	jolany	jolany	NOUN
ejpam-3676	363	11	and	and	CCONJ
ejpam-3676	363	12	t	t	PROPN
ejpam-3676	363	13	komatsu	komatsu	NOUN
ejpam-3676	363	14	.	.	PUNCT
ejpam-3676	364	1	more	more	ADJ
ejpam-3676	364	2	properties	property	NOUN
ejpam-3676	364	3	on	on	ADP
ejpam-3676	364	4	multi	multi	ADJ
ejpam-3676	364	5	-	-	ADJ
ejpam-3676	364	6	poly	poly	ADJ
ejpam-3676	364	7	-	-	PUNCT
ejpam-3676	364	8	euler	euler	NOUN
ejpam-3676	364	9	polynomials	polynomial	NOUN
ejpam-3676	364	10	.	.	PUNCT
ejpam-3676	365	1	bol	bol	NOUN
ejpam-3676	365	2	.	.	PUNCT
ejpam-3676	366	1	soc	soc	PROPN
ejpam-3676	366	2	.	.	PUNCT
ejpam-3676	367	1	mat	mat	PROPN
ejpam-3676	367	2	.	.	PUNCT
ejpam-3676	367	3	mex	mex	PROPN
ejpam-3676	367	4	.	.	PROPN
ejpam-3676	367	5	,	,	PUNCT
ejpam-3676	367	6	21(2):149–162	21(2):149–162	PROPN
ejpam-3676	367	7	,	,	PUNCT
ejpam-3676	367	8	2015	2015	NUM
ejpam-3676	367	9	.	.	PUNCT
ejpam-3676	368	1	[	[	X
ejpam-3676	368	2	17	17	NUM
ejpam-3676	368	3	]	]	X
ejpam-3676	368	4	c	c	NOUN
ejpam-3676	368	5	corcino	corcino	PROPN
ejpam-3676	368	6	r	r	NOUN
ejpam-3676	368	7	corcino	corcino	NOUN
ejpam-3676	368	8	,	,	PUNCT
ejpam-3676	368	9	h	h	NOUN
ejpam-3676	368	10	jolany	jolany	NOUN
ejpam-3676	368	11	and	and	CCONJ
ejpam-3676	368	12	t	t	PROPN
ejpam-3676	368	13	komatsu	komatsu	NOUN
ejpam-3676	368	14	.	.	PUNCT
ejpam-3676	369	1	on	on	ADP
ejpam-3676	369	2	generalized	generalized	ADJ
ejpam-3676	369	3	multi	multi	ADJ
ejpam-3676	369	4	poly	poly	ADJ
ejpam-3676	369	5	-	-	PUNCT
ejpam-3676	369	6	euler	euler	NOUN
ejpam-3676	369	7	polynomials	polynomial	NOUN
ejpam-3676	369	8	.	.	PUNCT
ejpam-3676	370	1	the	the	DET
ejpam-3676	370	2	fibonacci	fibonacci	NOUN
ejpam-3676	370	3	quarterly	quarterly	ADV
ejpam-3676	370	4	,	,	PUNCT
ejpam-3676	370	5	55(1):41–53	55(1):41–53	NUM
ejpam-3676	370	6	,	,	PUNCT
ejpam-3676	370	7	2017	2017	NUM
ejpam-3676	370	8	.	.	PUNCT
ejpam-3676	371	1	[	[	X
ejpam-3676	371	2	18	18	NUM
ejpam-3676	371	3	]	]	X
ejpam-3676	371	4	c	c	NOUN
ejpam-3676	371	5	corcino	corcino	PROPN
ejpam-3676	371	6	r	r	NOUN
ejpam-3676	371	7	corcino	corcino	NOUN
ejpam-3676	371	8	,	,	PUNCT
ejpam-3676	371	9	h	h	NOUN
ejpam-3676	371	10	jolany	jolany	NOUN
ejpam-3676	371	11	and	and	CCONJ
ejpam-3676	371	12	t	t	PROPN
ejpam-3676	371	13	komatsu	komatsu	NOUN
ejpam-3676	371	14	.	.	PUNCT
ejpam-3676	372	1	on	on	ADP
ejpam-3676	372	2	multi	multi	ADJ
ejpam-3676	372	3	poly	poly	ADJ
ejpam-3676	372	4	-	-	PUNCT
ejpam-3676	372	5	bernoulli	bernoulli	NOUN
ejpam-3676	372	6	polynomials	polynomial	NOUN
ejpam-3676	372	7	.	.	PUNCT
ejpam-3676	373	1	j.	j.	PROPN
ejpam-3676	373	2	inequal	inequal	PROPN
ejpam-3676	373	3	.	.	PUNCT
ejpam-3676	374	1	spec	spec	PROPN
ejpam-3676	374	2	.	.	PUNCT
ejpam-3676	375	1	funct	funct	PROPN
ejpam-3676	375	2	.	.	PUNCT
ejpam-3676	375	3	,	,	PUNCT
ejpam-3676	376	1	10(2):21–34	10(2):21–34	NUM
ejpam-3676	376	2	,	,	PUNCT
ejpam-3676	376	3	2019	2019	NUM
ejpam-3676	376	4	.	.	PUNCT
ejpam-3676	377	1	[	[	X
ejpam-3676	377	2	19	19	NUM
ejpam-3676	377	3	]	]	X
ejpam-3676	377	4	e	e	PROPN
ejpam-3676	377	5	sen	sen	PROPN
ejpam-3676	377	6	s	s	PROPN
ejpam-3676	377	7	araci	araci	NOUN
ejpam-3676	377	8	and	and	CCONJ
ejpam-3676	377	9	m	m	PROPN
ejpam-3676	377	10	acikgoz	acikgoz	ADJ
ejpam-3676	377	11	.	.	PUNCT
ejpam-3676	378	1	theorems	theorem	NOUN
ejpam-3676	378	2	on	on	ADP
ejpam-3676	378	3	genocchi	genocchi	PROPN
ejpam-3676	378	4	polynomials	polynomial	NOUN
ejpam-3676	378	5	of	of	ADP
ejpam-3676	378	6	higher	high	ADJ
ejpam-3676	378	7	order	order	NOUN
ejpam-3676	378	8	arising	arise	VERB
ejpam-3676	378	9	from	from	ADP
ejpam-3676	378	10	genocchi	genocchi	PROPN
ejpam-3676	378	11	basis	basis	NOUN
ejpam-3676	378	12	.	.	PUNCT
ejpam-3676	379	1	taiwanese	taiwanese	ADJ
ejpam-3676	379	2	j.	j.	PROPN
ejpam-3676	379	3	math	math	PROPN
ejpam-3676	379	4	.	.	PUNCT
ejpam-3676	380	1	math	math	NOUN
ejpam-3676	380	2	.	.	PUNCT
ejpam-3676	381	1	sci	sci	PROPN
ejpam-3676	381	2	.	.	PROPN
ejpam-3676	381	3	,	,	PUNCT
ejpam-3676	381	4	18(2):473–482	18(2):473–482	PROPN
ejpam-3676	381	5	,	,	PUNCT
ejpam-3676	381	6	2014	2014	NUM
ejpam-3676	381	7	.	.	PUNCT
ejpam-3676	382	1	[	[	X
ejpam-3676	382	2	20	20	NUM
ejpam-3676	382	3	]	]	PUNCT
ejpam-3676	382	4	h.	h.	PROPN
ejpam-3676	382	5	jolany	jolany	PROPN
ejpam-3676	382	6	s	s	PART
ejpam-3676	382	7	araci	araci	NOUN
ejpam-3676	382	8	,	,	PUNCT
ejpam-3676	382	9	m	m	VERB
ejpam-3676	382	10	acikgoz	acikgoz	ADJ
ejpam-3676	382	11	and	and	CCONJ
ejpam-3676	382	12	j	j	PROPN
ejpam-3676	382	13	seo	seo	PROPN
ejpam-3676	382	14	.	.	PUNCT
ejpam-3676	383	1	a	a	DET
ejpam-3676	383	2	unified	unify	VERB
ejpam-3676	383	3	generating	generating	NOUN
ejpam-3676	383	4	function	function	NOUN
ejpam-3676	383	5	of	of	ADP
ejpam-3676	383	6	the	the	DET
ejpam-3676	383	7	qgenocchi	qgenocchi	ADJ
ejpam-3676	383	8	polynomials	polynomial	NOUN
ejpam-3676	383	9	with	with	ADP
ejpam-3676	383	10	their	their	PRON
ejpam-3676	383	11	interpolation	interpolation	NOUN
ejpam-3676	383	12	functions	function	NOUN
ejpam-3676	383	13	.	.	PUNCT
ejpam-3676	384	1	proc	proc	NOUN
ejpam-3676	384	2	.	.	PUNCT
ejpam-3676	385	1	jangjeon	jangjeon	PROPN
ejpam-3676	385	2	math	math	PROPN
ejpam-3676	385	3	.	.	PUNCT
ejpam-3676	386	1	soc	soc	PROPN
ejpam-3676	386	2	.	.	PUNCT
ejpam-3676	386	3	,	,	PUNCT
ejpam-3676	386	4	15(20):227–233	15(20):227–233	NUM
ejpam-3676	386	5	,	,	PUNCT
ejpam-3676	386	6	2012	2012	NUM
ejpam-3676	386	7	.	.	PUNCT
ejpam-3676	387	1	[	[	X
ejpam-3676	387	2	21	21	NUM
ejpam-3676	387	3	]	]	X
ejpam-3676	387	4	m	m	VERB
ejpam-3676	387	5	acikgoz	acikgoz	PROPN
ejpam-3676	387	6	s	s	PART
ejpam-3676	387	7	araci	araci	NOUN
ejpam-3676	387	8	and	and	CCONJ
ejpam-3676	387	9	e	e	NOUN
ejpam-3676	387	10	sen	sen	PROPN
ejpam-3676	387	11	.	.	PROPN
ejpam-3676	387	12	on	on	ADP
ejpam-3676	387	13	the	the	DET
ejpam-3676	387	14	von	von	PROPN
ejpam-3676	387	15	staudt	staudt	PROPN
ejpam-3676	387	16	-	-	PUNCT
ejpam-3676	387	17	clausen	clausen	PROPN
ejpam-3676	387	18	’s	’s	PART
ejpam-3676	387	19	theorem	theorem	NOUN
ejpam-3676	387	20	associated	associate	VERB
ejpam-3676	387	21	with	with	ADP
ejpam-3676	387	22	q	q	ADJ
ejpam-3676	387	23	-	-	ADJ
ejpam-3676	387	24	genocchi	genocchi	ADJ
ejpam-3676	387	25	numbers	number	NOUN
ejpam-3676	387	26	.	.	PUNCT
ejpam-3676	388	1	appl	appl	PROPN
ejpam-3676	388	2	.	.	PROPN
ejpam-3676	388	3	math	math	PROPN
ejpam-3676	388	4	.	.	PUNCT
ejpam-3676	389	1	comput	comput	NOUN
ejpam-3676	389	2	.	.	PUNCT
ejpam-3676	389	3	,	,	PUNCT
ejpam-3676	389	4	247:780–785	247:780–785	NUM
ejpam-3676	389	5	,	,	PUNCT
ejpam-3676	389	6	2004	2004	NUM
ejpam-3676	389	7	.	.	PUNCT
ejpam-3676	390	1	[	[	X
ejpam-3676	390	2	22	22	NUM
ejpam-3676	390	3	]	]	X
ejpam-3676	390	4	m	m	VERB
ejpam-3676	390	5	acikgoz	acikgoz	PROPN
ejpam-3676	390	6	s	s	PART
ejpam-3676	390	7	araci	araci	NOUN
ejpam-3676	390	8	and	and	CCONJ
ejpam-3676	390	9	e	e	NOUN
ejpam-3676	390	10	sen	sen	PROPN
ejpam-3676	390	11	.	.	PROPN
ejpam-3676	391	1	some	some	DET
ejpam-3676	391	2	new	new	ADJ
ejpam-3676	391	3	formulae	formulae	NOUN
ejpam-3676	391	4	for	for	ADP
ejpam-3676	391	5	genocchi	genocchi	PROPN
ejpam-3676	391	6	numbers	number	NOUN
ejpam-3676	391	7	and	and	CCONJ
ejpam-3676	391	8	polynomials	polynomial	NOUN
ejpam-3676	391	9	involving	involve	VERB
ejpam-3676	391	10	bernoulli	bernoulli	NOUN
ejpam-3676	391	11	and	and	CCONJ
ejpam-3676	391	12	euler	euler	NOUN
ejpam-3676	391	13	polynomials	polynomial	NOUN
ejpam-3676	391	14	.	.	PUNCT
ejpam-3676	392	1	int	int	NOUN
ejpam-3676	392	2	.	.	PUNCT
ejpam-3676	393	1	j.	j.	PROPN
ejpam-3676	393	2	math	math	PROPN
ejpam-3676	393	3	.	.	PUNCT
ejpam-3676	394	1	sci	sci	PROPN
ejpam-3676	394	2	.	.	PROPN
ejpam-3676	394	3	,	,	PUNCT
ejpam-3676	394	4	2014	2014	NUM
ejpam-3676	394	5	:	:	PUNCT
ejpam-3676	394	6	article	article	NOUN
ejpam-3676	394	7	i	i	PROPN
ejpam-3676	394	8	d	d	PROPN
ejpam-3676	394	9	760613	760613	NUM
ejpam-3676	394	10	,	,	PUNCT
ejpam-3676	394	11	7	7	NUM
ejpam-3676	394	12	pages	page	NOUN
ejpam-3676	394	13	,	,	PUNCT
ejpam-3676	394	14	2014	2014	NUM
ejpam-3676	394	15	.	.	PUNCT
ejpam-3676	395	1	references	reference	NOUN
ejpam-3676	395	2	458	458	NUM
ejpam-3676	396	1	[	[	X
ejpam-3676	396	2	23	23	NUM
ejpam-3676	396	3	]	]	X
ejpam-3676	396	4	m	m	VERB
ejpam-3676	396	5	acikgoz	acikgoz	ADJ
ejpam-3676	396	6	c	c	PROPN
ejpam-3676	396	7	ozel	ozel	PROPN
ejpam-3676	396	8	s	s	PROPN
ejpam-3676	396	9	araci	araci	NOUN
ejpam-3676	396	10	,	,	PUNCT
ejpam-3676	396	11	wa	wa	X
ejpam-3676	396	12	khan	khan	PROPN
ejpam-3676	396	13	and	and	CCONJ
ejpam-3676	396	14	p	p	PROPN
ejpam-3676	396	15	kumam	kumam	NOUN
ejpam-3676	396	16	.	.	PUNCT
ejpam-3676	397	1	a	a	DET
ejpam-3676	397	2	new	new	ADJ
ejpam-3676	397	3	generaliztion	generaliztion	NOUN
ejpam-3676	397	4	of	of	ADP
ejpam-3676	397	5	apostol	apostol	PROPN
ejpam-3676	397	6	type	type	NOUN
ejpam-3676	397	7	hermite	hermite	PROPN
ejpam-3676	397	8	-	-	PUNCT
ejpam-3676	397	9	genocchi	genocchi	PROPN
ejpam-3676	397	10	polynomials	polynomial	NOUN
ejpam-3676	397	11	and	and	CCONJ
ejpam-3676	397	12	its	its	PRON
ejpam-3676	397	13	applications	application	NOUN
ejpam-3676	397	14	.	.	PUNCT
ejpam-3676	398	1	springerplus	springerplus	PROPN
ejpam-3676	398	2	,	,	PUNCT
ejpam-3676	398	3	5	5	NUM
ejpam-3676	398	4	:	:	PUNCT
ejpam-3676	398	5	article	article	NOUN
ejpam-3676	398	6	i	i	PROPN
ejpam-3676	398	7	d	d	PROPN
ejpam-3676	398	8	860	860	PROPN
ejpam-3676	398	9	,	,	PUNCT
ejpam-3676	398	10	2016	2016	NUM
ejpam-3676	398	11	.	.	PUNCT
ejpam-3676	399	1	[	[	X
ejpam-3676	399	2	24	24	NUM
ejpam-3676	399	3	]	]	X
ejpam-3676	399	4	d	d	X
ejpam-3676	399	5	kim	kim	PROPN
ejpam-3676	399	6	s	s	PROPN
ejpam-3676	399	7	hu	hu	PROPN
ejpam-3676	399	8	and	and	CCONJ
ejpam-3676	399	9	ms	ms	PROPN
ejpam-3676	399	10	kim	kim	PROPN
ejpam-3676	399	11	.	.	PUNCT
ejpam-3676	400	1	new	new	ADJ
ejpam-3676	400	2	identities	identity	NOUN
ejpam-3676	400	3	involving	involve	VERB
ejpam-3676	400	4	bernoulli	bernoulli	PROPN
ejpam-3676	400	5	,	,	PUNCT
ejpam-3676	400	6	euler	euler	VERB
ejpam-3676	400	7	and	and	CCONJ
ejpam-3676	400	8	genocchi	genocchi	PROPN
ejpam-3676	400	9	numbers	number	NOUN
ejpam-3676	400	10	.	.	PUNCT
ejpam-3676	401	1	adv	adv	PROPN
ejpam-3676	401	2	.	.	PROPN
ejpam-3676	401	3	differ	differ	VERB
ejpam-3676	401	4	.	.	PUNCT
ejpam-3676	402	1	equ	equ	PROPN
ejpam-3676	402	2	.	.	PROPN
ejpam-3676	402	3	,	,	PUNCT
ejpam-3676	402	4	74	74	NUM
ejpam-3676	402	5	,	,	PUNCT
ejpam-3676	402	6	2013	2013	NUM
ejpam-3676	402	7	.	.	PUNCT
ejpam-3676	403	1	[	[	X
ejpam-3676	403	2	25	25	NUM
ejpam-3676	403	3	]	]	X
ejpam-3676	403	4	j	j	PROPN
ejpam-3676	403	5	shohat	shohat	PROPN
ejpam-3676	403	6	.	.	PUNCT
ejpam-3676	404	1	the	the	DET
ejpam-3676	404	2	relation	relation	NOUN
ejpam-3676	404	3	of	of	ADP
ejpam-3676	404	4	the	the	DET
ejpam-3676	404	5	classical	classical	ADJ
ejpam-3676	404	6	orthogonal	orthogonal	ADJ
ejpam-3676	404	7	polynomials	polynomial	NOUN
ejpam-3676	404	8	to	to	ADP
ejpam-3676	404	9	the	the	DET
ejpam-3676	404	10	polynomials	polynomial	NOUN
ejpam-3676	404	11	of	of	ADP
ejpam-3676	404	12	appell	appell	PROPN
ejpam-3676	404	13	.	.	PUNCT
ejpam-3676	405	1	amer	amer	PROPN
ejpam-3676	405	2	.	.	PUNCT
ejpam-3676	406	1	j.	j.	PROPN
ejpam-3676	406	2	math	math	PROPN
ejpam-3676	406	3	.	.	PUNCT
ejpam-3676	406	4	,	,	PUNCT
ejpam-3676	406	5	58:453–464	58:453–464	NUM
ejpam-3676	406	6	,	,	PUNCT
ejpam-3676	406	7	1936	1936	NUM
ejpam-3676	406	8	.	.	PUNCT
ejpam-3676	407	1	[	[	X
ejpam-3676	407	2	26	26	NUM
ejpam-3676	407	3	]	]	X
ejpam-3676	407	4	dv	dv	PROPN
ejpam-3676	407	5	dolgy	dolgy	VERB
ejpam-3676	407	6	t	t	PROPN
ejpam-3676	407	7	kim	kim	PROPN
ejpam-3676	407	8	,	,	PUNCT
ejpam-3676	407	9	sh	sh	PROPN
ejpam-3676	407	10	rim	rim	PROPN
ejpam-3676	407	11	and	and	CCONJ
ejpam-3676	407	12	sh	sh	PROPN
ejpam-3676	407	13	lee	lee	PROPN
ejpam-3676	407	14	.	.	PUNCT
ejpam-3676	408	1	some	some	DET
ejpam-3676	408	2	identities	identity	NOUN
ejpam-3676	408	3	of	of	ADP
ejpam-3676	408	4	genocchi	genocchi	PROPN
ejpam-3676	408	5	polynomials	polynomial	NOUN
ejpam-3676	408	6	arising	arise	VERB
ejpam-3676	408	7	from	from	ADP
ejpam-3676	408	8	genocchi	genocchi	PROPN
ejpam-3676	408	9	basis	basis	NOUN
ejpam-3676	408	10	.	.	PUNCT
ejpam-3676	409	1	j.	j.	PROPN
ejpam-3676	409	2	ineq	ineq	PROPN
ejpam-3676	409	3	.	.	PUNCT
ejpam-3676	410	1	appl	appl	PROPN
ejpam-3676	410	2	.	.	PROPN
ejpam-3676	410	3	,	,	PUNCT
ejpam-3676	410	4	2013	2013	NUM
ejpam-3676	410	5	:	:	PUNCT
ejpam-3676	410	6	article	article	NOUN
ejpam-3676	410	7	i	i	PROPN
ejpam-3676	410	8	d	d	PROPN
ejpam-3676	410	9	43	43	NUM
ejpam-3676	410	10	,	,	PUNCT
ejpam-3676	410	11	2013	2013	NUM
ejpam-3676	410	12	.	.	PUNCT
ejpam-3676	411	1	[	[	X
ejpam-3676	411	2	27	27	NUM
ejpam-3676	411	3	]	]	X
ejpam-3676	411	4	ys	ys	PROPN
ejpam-3676	411	5	jang	jang	PROPN
ejpam-3676	411	6	t	t	PROPN
ejpam-3676	411	7	kim	kim	PROPN
ejpam-3676	411	8	and	and	CCONJ
ejpam-3676	411	9	jj	jj	PROPN
ejpam-3676	411	10	seo	seo	PROPN
ejpam-3676	411	11	.	.	PUNCT
ejpam-3676	412	1	a	a	DET
ejpam-3676	412	2	note	note	NOUN
ejpam-3676	412	3	on	on	ADP
ejpam-3676	412	4	poly	poly	ADJ
ejpam-3676	412	5	-	-	PUNCT
ejpam-3676	412	6	genocchi	genocchi	NOUN
ejpam-3676	412	7	numbers	number	NOUN
ejpam-3676	412	8	and	and	CCONJ
ejpam-3676	412	9	polynomials	polynomial	NOUN
ejpam-3676	412	10	.	.	PUNCT
ejpam-3676	413	1	appl	appl	PROPN
ejpam-3676	413	2	.	.	PROPN
ejpam-3676	413	3	math	math	PROPN
ejpam-3676	413	4	.	.	PUNCT
ejpam-3676	414	1	sci	sci	PROPN
ejpam-3676	414	2	.	.	PROPN
ejpam-3676	414	3	,	,	PUNCT
ejpam-3676	414	4	8:4775–4781	8:4775–4781	NUM
ejpam-3676	414	5	,	,	PUNCT
ejpam-3676	414	6	2014	2014	NUM
ejpam-3676	414	7	.	.	PUNCT
ejpam-3676	415	1	[	[	X
ejpam-3676	415	2	28	28	NUM
ejpam-3676	415	3	]	]	X
ejpam-3676	415	4	l	l	NOUN
ejpam-3676	415	5	toscano	toscano	PROPN
ejpam-3676	415	6	.	.	PROPN
ejpam-3676	416	1	polinomi	polinomi	PROPN
ejpam-3676	416	2	ortogonali	ortogonali	PROPN
ejpam-3676	416	3	o	o	PROPN
ejpam-3676	416	4	reciproci	reciproci	PROPN
ejpam-3676	416	5	di	di	PROPN
ejpam-3676	416	6	ortogonali	ortogonali	PROPN
ejpam-3676	416	7	nella	nella	PROPN
ejpam-3676	416	8	classe	classe	PROPN
ejpam-3676	416	9	di	di	PROPN
ejpam-3676	416	10	appell	appell	PROPN
ejpam-3676	416	11	.	.	PUNCT
ejpam-3676	417	1	le	le	PROPN
ejpam-3676	417	2	matematiche	matematiche	PROPN
ejpam-3676	417	3	,	,	PUNCT
ejpam-3676	417	4	11:168–174	11:168–174	PROPN
ejpam-3676	417	5	,	,	PUNCT
ejpam-3676	417	6	1956	1956	NUM
ejpam-3676	417	7	.	.	PUNCT
ejpam-3676	418	1	[	[	X
ejpam-3676	418	2	29	29	NUM
ejpam-3676	418	3	]	]	X
ejpam-3676	418	4	m	m	AUX
ejpam-3676	418	5	acikgoz	acikgoz	ADJ
ejpam-3676	418	6	u	u	PROPN
ejpam-3676	418	7	duran	duran	PROPN
ejpam-3676	418	8	and	and	CCONJ
ejpam-3676	418	9	s	s	PROPN
ejpam-3676	418	10	araci	araci	NOUN
ejpam-3676	418	11	.	.	PUNCT
ejpam-3676	419	1	symmetric	symmetric	ADJ
ejpam-3676	419	2	identities	identity	NOUN
ejpam-3676	419	3	involving	involve	VERB
ejpam-3676	419	4	weighted	weight	VERB
ejpam-3676	419	5	q	q	ADJ
ejpam-3676	419	6	-	-	PUNCT
ejpam-3676	419	7	genocchi	genocchi	ADJ
ejpam-3676	419	8	polynomials	polynomial	VERB
ejpam-3676	419	9	under	under	ADP
ejpam-3676	419	10	s4	s4	PROPN
ejpam-3676	419	11	.	.	PUNCT
ejpam-3676	420	1	proc	proc	PROPN
ejpam-3676	420	2	.	.	PUNCT
ejpam-3676	421	1	jangjeon	jangjeon	PROPN
ejpam-3676	421	2	math	math	PROPN
ejpam-3676	421	3	.	.	PUNCT
ejpam-3676	422	1	soc	soc	PROPN
ejpam-3676	422	2	.	.	PUNCT
ejpam-3676	422	3	,	,	PUNCT
ejpam-3676	422	4	18(4):455–465	18(4):455–465	NUM
ejpam-3676	422	5	,	,	PUNCT
ejpam-3676	422	6	2015	2015	NUM
ejpam-3676	422	7	.	.	PUNCT
ejpam-3676	423	1	[	[	X
ejpam-3676	423	2	30	30	NUM
ejpam-3676	423	3	]	]	X
ejpam-3676	423	4	hm	hm	PROPN
ejpam-3676	423	5	srivastava	srivastava	PROPN
ejpam-3676	423	6	y	y	PROPN
ejpam-3676	423	7	he	he	PRON
ejpam-3676	423	8	,	,	PUNCT
ejpam-3676	423	9	s	s	PART
ejpam-3676	423	10	araci	araci	NOUN
ejpam-3676	423	11	and	and	CCONJ
ejpam-3676	423	12	m	m	AUX
ejpam-3676	423	13	acikgoz	acikgoz	ADJ
ejpam-3676	423	14	.	.	PUNCT
ejpam-3676	424	1	some	some	DET
ejpam-3676	424	2	new	new	ADJ
ejpam-3676	424	3	identities	identity	NOUN
ejpam-3676	424	4	for	for	ADP
ejpam-3676	424	5	the	the	DET
ejpam-3676	424	6	apostolbernoulli	apostolbernoulli	NOUN
ejpam-3676	424	7	polynomials	polynomial	NOUN
ejpam-3676	424	8	and	and	CCONJ
ejpam-3676	424	9	the	the	DET
ejpam-3676	424	10	apostol	apostol	NOUN
ejpam-3676	424	11	-	-	PUNCT
ejpam-3676	424	12	genocchi	genocchi	PROPN
ejpam-3676	424	13	polynomials	polynomial	NOUN
ejpam-3676	424	14	.	.	PUNCT
ejpam-3676	425	1	appl	appl	PROPN
ejpam-3676	425	2	.	.	PROPN
ejpam-3676	425	3	math	math	PROPN
ejpam-3676	425	4	.	.	PUNCT
ejpam-3676	426	1	comput	comput	NOUN
ejpam-3676	426	2	.	.	PUNCT
ejpam-3676	426	3	,	,	PUNCT
ejpam-3676	426	4	262:31–41	262:31–41	NUM
ejpam-3676	426	5	,	,	PUNCT
ejpam-3676	426	6	2015	2015	NUM
ejpam-3676	426	7	.	.	PUNCT