id	sid	tid	token	lemma	pos
ejpam-5203	1	1	european	european	PROPN
ejpam-5203	1	2	journal	journal	PROPN
ejpam-5203	1	3	of	of	ADP
ejpam-5203	1	4	pure	pure	ADJ
ejpam-5203	1	5	and	and	CCONJ
ejpam-5203	1	6	applied	applied	ADJ
ejpam-5203	1	7	mathematics	mathematic	NOUN
ejpam-5203	1	8	2025	2025	NUM
ejpam-5203	1	9	,	,	PUNCT
ejpam-5203	1	10	vol	vol	NOUN
ejpam-5203	1	11	.	.	PROPN
ejpam-5203	1	12	18	18	NUM
ejpam-5203	1	13	,	,	PUNCT
ejpam-5203	1	14	issue	issue	NOUN
ejpam-5203	1	15	4	4	NUM
ejpam-5203	1	16	,	,	PUNCT
ejpam-5203	1	17	article	article	NOUN
ejpam-5203	1	18	number	number	NOUN
ejpam-5203	1	19	5203	5203	NUM
ejpam-5203	1	20	issn	issn	PROPN
ejpam-5203	1	21	1307	1307	NUM
ejpam-5203	1	22	-	-	SYM
ejpam-5203	1	23	5543	5543	NUM
ejpam-5203	1	24	–	–	PUNCT
ejpam-5203	1	25	ejpam.com	ejpam.com	X
ejpam-5203	1	26	published	publish	VERB
ejpam-5203	1	27	by	by	ADP
ejpam-5203	1	28	new	new	PROPN
ejpam-5203	1	29	york	york	PROPN
ejpam-5203	1	30	business	business	PROPN
ejpam-5203	1	31	global	global	ADJ
ejpam-5203	1	32	on	on	ADP
ejpam-5203	1	33	apostol	apostol	NOUN
ejpam-5203	1	34	-	-	PUNCT
ejpam-5203	1	35	type	type	NOUN
ejpam-5203	1	36	multi	multi	ADJ
ejpam-5203	1	37	poly	poly	ADJ
ejpam-5203	1	38	-	-	PUNCT
ejpam-5203	1	39	genocchi	genocchi	NOUN
ejpam-5203	1	40	polynomials	polynomial	NOUN
ejpam-5203	1	41	with	with	ADP
ejpam-5203	1	42	parameters	parameter	NOUN
ejpam-5203	1	43	a	a	DET
ejpam-5203	1	44	,	,	PUNCT
ejpam-5203	1	45	b	b	NOUN
ejpam-5203	1	46	,	,	PUNCT
ejpam-5203	1	47	and	and	CCONJ
ejpam-5203	1	48	c	c	PROPN
ejpam-5203	1	49	mark	mark	PROPN
ejpam-5203	1	50	p.	p.	PROPN
ejpam-5203	1	51	laurente1,∗	laurente1,∗	NOUN
ejpam-5203	1	52	,	,	PUNCT
ejpam-5203	1	53	az	az	PROPN
ejpam-5203	1	54	d.	d.	PROPN
ejpam-5203	1	55	ababa2	ababa2	PROPN
ejpam-5203	2	1	1	1	NUM
ejpam-5203	2	2	department	department	NOUN
ejpam-5203	2	3	,	,	PUNCT
ejpam-5203	2	4	faculty	faculty	NOUN
ejpam-5203	2	5	,	,	PUNCT
ejpam-5203	2	6	davao	davao	PROPN
ejpam-5203	2	7	de	de	PROPN
ejpam-5203	2	8	oro	oro	PROPN
ejpam-5203	2	9	state	state	PROPN
ejpam-5203	2	10	college	college	NOUN
ejpam-5203	2	11	–	–	PUNCT
ejpam-5203	2	12	main	main	ADJ
ejpam-5203	2	13	campus	campus	NOUN
ejpam-5203	2	14	(	(	PUNCT
ejpam-5203	2	15	compostela	compostela	PROPN
ejpam-5203	2	16	)	)	PUNCT
ejpam-5203	2	17	,	,	PUNCT
ejpam-5203	2	18	compostela	compostela	PROPN
ejpam-5203	2	19	city	city	PROPN
ejpam-5203	2	20	,	,	PUNCT
ejpam-5203	2	21	davao	davao	PROPN
ejpam-5203	2	22	de	de	PROPN
ejpam-5203	2	23	oro	oro	PROPN
ejpam-5203	2	24	,	,	PUNCT
ejpam-5203	2	25	philippines	philippines	PROPN
ejpam-5203	2	26	2	2	NUM
ejpam-5203	2	27	institute	institute	NOUN
ejpam-5203	2	28	of	of	ADP
ejpam-5203	2	29	mathematics	mathematics	PROPN
ejpam-5203	2	30	,	,	PUNCT
ejpam-5203	2	31	arts	art	NOUN
ejpam-5203	2	32	and	and	CCONJ
ejpam-5203	2	33	sciences	science	NOUN
ejpam-5203	2	34	,	,	PUNCT
ejpam-5203	2	35	faculty	faculty	NOUN
ejpam-5203	2	36	,	,	PUNCT
ejpam-5203	2	37	davao	davao	PROPN
ejpam-5203	2	38	del	del	PROPN
ejpam-5203	2	39	sur	sur	PROPN
ejpam-5203	2	40	state	state	PROPN
ejpam-5203	2	41	college	college	PROPN
ejpam-5203	2	42	,	,	PUNCT
ejpam-5203	2	43	digos	digos	PROPN
ejpam-5203	2	44	city	city	PROPN
ejpam-5203	2	45	,	,	PUNCT
ejpam-5203	2	46	davao	davao	PROPN
ejpam-5203	2	47	del	del	PROPN
ejpam-5203	2	48	sur	sur	PROPN
ejpam-5203	2	49	,	,	PUNCT
ejpam-5203	2	50	philippines	philippine	NOUN
ejpam-5203	2	51	abstract	abstract	ADJ
ejpam-5203	2	52	.	.	PUNCT
ejpam-5203	3	1	in	in	ADP
ejpam-5203	3	2	this	this	DET
ejpam-5203	3	3	paper	paper	NOUN
ejpam-5203	3	4	,	,	PUNCT
ejpam-5203	3	5	we	we	PRON
ejpam-5203	3	6	investigate	investigate	VERB
ejpam-5203	3	7	and	and	CCONJ
ejpam-5203	3	8	analyze	analyze	VERB
ejpam-5203	3	9	the	the	DET
ejpam-5203	3	10	apostol	apostol	NOUN
ejpam-5203	3	11	numbers	number	NOUN
ejpam-5203	3	12	and	and	CCONJ
ejpam-5203	3	13	polynomials	polynomial	NOUN
ejpam-5203	3	14	,	,	PUNCT
ejpam-5203	3	15	extending	extend	VERB
ejpam-5203	3	16	these	these	DET
ejpam-5203	3	17	properties	property	NOUN
ejpam-5203	3	18	by	by	ADP
ejpam-5203	3	19	integrating	integrate	VERB
ejpam-5203	3	20	them	they	PRON
ejpam-5203	3	21	with	with	ADP
ejpam-5203	3	22	the	the	DET
ejpam-5203	3	23	multi	multi	ADJ
ejpam-5203	3	24	-	-	ADJ
ejpam-5203	3	25	polylogarithm	polylogarithm	ADJ
ejpam-5203	3	26	function	function	NOUN
ejpam-5203	3	27	.	.	PUNCT
ejpam-5203	4	1	through	through	ADP
ejpam-5203	4	2	this	this	DET
ejpam-5203	4	3	approach	approach	NOUN
ejpam-5203	4	4	,	,	PUNCT
ejpam-5203	4	5	we	we	PRON
ejpam-5203	4	6	establish	establish	VERB
ejpam-5203	4	7	new	new	ADJ
ejpam-5203	4	8	properties	property	NOUN
ejpam-5203	4	9	and	and	CCONJ
ejpam-5203	4	10	introduce	introduce	VERB
ejpam-5203	4	11	a	a	DET
ejpam-5203	4	12	novel	novel	ADJ
ejpam-5203	4	13	concept	concept	NOUN
ejpam-5203	4	14	,	,	PUNCT
ejpam-5203	4	15	which	which	PRON
ejpam-5203	4	16	we	we	PRON
ejpam-5203	4	17	refer	refer	VERB
ejpam-5203	4	18	to	to	ADP
ejpam-5203	4	19	as	as	ADP
ejpam-5203	4	20	the	the	DET
ejpam-5203	4	21	apostol	apostol	NOUN
ejpam-5203	4	22	-	-	PUNCT
ejpam-5203	4	23	type	type	NOUN
ejpam-5203	4	24	multi	multi	ADJ
ejpam-5203	4	25	-	-	ADJ
ejpam-5203	4	26	poly	poly	ADJ
ejpam-5203	4	27	genocchi	genocchi	NOUN
ejpam-5203	4	28	polynomials	polynomial	NOUN
ejpam-5203	4	29	with	with	ADP
ejpam-5203	4	30	parameters	parameter	NOUN
ejpam-5203	4	31	a	a	DET
ejpam-5203	4	32	,	,	PUNCT
ejpam-5203	4	33	b	b	NOUN
ejpam-5203	4	34	,	,	PUNCT
ejpam-5203	4	35	and	and	CCONJ
ejpam-5203	4	36	c.	c.	PROPN
ejpam-5203	4	37	several	several	ADJ
ejpam-5203	4	38	properties	property	NOUN
ejpam-5203	4	39	of	of	ADP
ejpam-5203	4	40	these	these	DET
ejpam-5203	4	41	polynomials	polynomial	NOUN
ejpam-5203	4	42	are	be	AUX
ejpam-5203	4	43	established	establish	VERB
ejpam-5203	4	44	including	include	VERB
ejpam-5203	4	45	identities	identity	NOUN
ejpam-5203	4	46	,	,	PUNCT
ejpam-5203	4	47	the	the	DET
ejpam-5203	4	48	relation	relation	NOUN
ejpam-5203	4	49	to	to	ADP
ejpam-5203	4	50	bernoulli	bernoulli	NOUN
ejpam-5203	4	51	polynomials	polynomial	NOUN
ejpam-5203	4	52	,	,	PUNCT
ejpam-5203	4	53	including	include	VERB
ejpam-5203	4	54	some	some	DET
ejpam-5203	4	55	recurrence	recurrence	NOUN
ejpam-5203	4	56	relations	relation	NOUN
ejpam-5203	4	57	,	,	PUNCT
ejpam-5203	4	58	addition	addition	NOUN
ejpam-5203	4	59	and	and	CCONJ
ejpam-5203	4	60	explicit	explicit	ADJ
ejpam-5203	4	61	formulas	formula	NOUN
ejpam-5203	4	62	which	which	PRON
ejpam-5203	4	63	are	be	AUX
ejpam-5203	4	64	parallel	parallel	ADJ
ejpam-5203	4	65	on	on	ADP
ejpam-5203	4	66	generalized	generalized	ADJ
ejpam-5203	4	67	poly	poly	ADJ
ejpam-5203	4	68	-	-	PUNCT
ejpam-5203	4	69	genocchi	genocchi	NOUN
ejpam-5203	4	70	polynomials	polynomial	NOUN
ejpam-5203	4	71	.	.	PUNCT
ejpam-5203	5	1	2020	2020	NUM
ejpam-5203	5	2	mathematics	mathematic	NOUN
ejpam-5203	5	3	subject	subject	NOUN
ejpam-5203	5	4	classifications	classification	NOUN
ejpam-5203	5	5	:	:	PUNCT
ejpam-5203	5	6	11b68	11b68	NUM
ejpam-5203	5	7	,	,	PUNCT
ejpam-5203	5	8	11m35	11m35	NUM
ejpam-5203	5	9	,	,	PUNCT
ejpam-5203	5	10	33c45	33c45	NUM
ejpam-5203	5	11	key	key	ADJ
ejpam-5203	5	12	words	word	NOUN
ejpam-5203	5	13	and	and	CCONJ
ejpam-5203	5	14	phrases	phrase	NOUN
ejpam-5203	5	15	:	:	PUNCT
ejpam-5203	5	16	genocchi	genocchi	NOUN
ejpam-5203	5	17	numbers	number	NOUN
ejpam-5203	5	18	and	and	CCONJ
ejpam-5203	5	19	polynomials	polynomial	NOUN
ejpam-5203	5	20	,	,	PUNCT
ejpam-5203	5	21	apostol	apostol	VERB
ejpam-5203	5	22	genocchi	genocchi	PROPN
ejpam-5203	5	23	numbers	number	NOUN
ejpam-5203	5	24	and	and	CCONJ
ejpam-5203	5	25	polynomials	polynomial	NOUN
ejpam-5203	5	26	,	,	PUNCT
ejpam-5203	5	27	poly	poly	ADJ
ejpam-5203	5	28	-	-	PUNCT
ejpam-5203	5	29	genocchi	genocchi	NOUN
ejpam-5203	5	30	numbers	number	NOUN
ejpam-5203	5	31	and	and	CCONJ
ejpam-5203	5	32	polynomials	polynomial	NOUN
ejpam-5203	5	33	,	,	PUNCT
ejpam-5203	5	34	multi	multi	ADJ
ejpam-5203	5	35	poly	poly	ADJ
ejpam-5203	5	36	-	-	PUNCT
ejpam-5203	5	37	genocchi	genocchi	NOUN
ejpam-5203	5	38	numbers	number	NOUN
ejpam-5203	5	39	and	and	CCONJ
ejpam-5203	5	40	polynomials	polynomial	NOUN
ejpam-5203	5	41	,	,	PUNCT
ejpam-5203	5	42	apostol	apostol	NOUN
ejpam-5203	5	43	-	-	PUNCT
ejpam-5203	5	44	type	type	NOUN
ejpam-5203	5	45	multi	multi	ADJ
ejpam-5203	5	46	poly	poly	ADJ
ejpam-5203	5	47	-	-	PUNCT
ejpam-5203	5	48	genocchi	genocchi	NOUN
ejpam-5203	5	49	numbers	number	NOUN
ejpam-5203	5	50	and	and	CCONJ
ejpam-5203	5	51	polynomials	polynomial	NOUN
ejpam-5203	5	52	,	,	PUNCT
ejpam-5203	5	53	poly	poly	ADJ
ejpam-5203	5	54	bernoulli	bernoulli	NOUN
ejpam-5203	5	55	and	and	CCONJ
ejpam-5203	5	56	generating	generate	VERB
ejpam-5203	5	57	function	function	NOUN
ejpam-5203	5	58	1	1	NUM
ejpam-5203	5	59	.	.	PUNCT
ejpam-5203	6	1	introduction	introduction	NOUN
ejpam-5203	6	2	the	the	DET
ejpam-5203	6	3	genocchi	genocchi	PROPN
ejpam-5203	6	4	numbers	number	NOUN
ejpam-5203	6	5	,	,	PUNCT
ejpam-5203	6	6	denoted	denote	VERB
ejpam-5203	6	7	by	by	ADP
ejpam-5203	6	8	gn	gn	PROPN
ejpam-5203	6	9	,	,	PUNCT
ejpam-5203	6	10	are	be	AUX
ejpam-5203	6	11	an	an	DET
ejpam-5203	6	12	important	important	ADJ
ejpam-5203	6	13	sequence	sequence	NOUN
ejpam-5203	6	14	of	of	ADP
ejpam-5203	6	15	integers	integer	NOUN
ejpam-5203	6	16	that	that	PRON
ejpam-5203	6	17	arise	arise	VERB
ejpam-5203	6	18	in	in	ADP
ejpam-5203	6	19	various	various	ADJ
ejpam-5203	6	20	areas	area	NOUN
ejpam-5203	6	21	of	of	ADP
ejpam-5203	6	22	mathematics	mathematic	NOUN
ejpam-5203	6	23	,	,	PUNCT
ejpam-5203	6	24	including	include	VERB
ejpam-5203	6	25	combinatorics	combinatoric	NOUN
ejpam-5203	6	26	,	,	PUNCT
ejpam-5203	6	27	number	number	NOUN
ejpam-5203	6	28	theory	theory	NOUN
ejpam-5203	6	29	,	,	PUNCT
ejpam-5203	6	30	and	and	CCONJ
ejpam-5203	6	31	graph	graph	NOUN
ejpam-5203	6	32	theory	theory	NOUN
ejpam-5203	6	33	.	.	PUNCT
ejpam-5203	7	1	they	they	PRON
ejpam-5203	7	2	were	be	AUX
ejpam-5203	7	3	named	name	VERB
ejpam-5203	7	4	after	after	ADP
ejpam-5203	7	5	the	the	DET
ejpam-5203	7	6	italian	italian	ADJ
ejpam-5203	7	7	mathematician	mathematician	NOUN
ejpam-5203	7	8	angelo	angelo	PROPN
ejpam-5203	7	9	genocchi	genocchi	PROPN
ejpam-5203	7	10	(	(	PUNCT
ejpam-5203	7	11	1817–1889	1817–1889	NUM
ejpam-5203	7	12	)	)	PUNCT
ejpam-5203	7	13	,	,	PUNCT
ejpam-5203	7	14	who	who	PRON
ejpam-5203	7	15	studied	study	VERB
ejpam-5203	7	16	it	it	PRON
ejpam-5203	7	17	extensively	extensively	ADV
ejpam-5203	7	18	.	.	PUNCT
ejpam-5203	8	1	the	the	DET
ejpam-5203	8	2	genocchi	genocchi	PROPN
ejpam-5203	8	3	polynomials	polynomial	NOUN
ejpam-5203	8	4	are	be	AUX
ejpam-5203	8	5	related	relate	VERB
ejpam-5203	8	6	to	to	ADP
ejpam-5203	8	7	the	the	DET
ejpam-5203	8	8	well	well	ADV
ejpam-5203	8	9	-	-	PUNCT
ejpam-5203	8	10	known	know	VERB
ejpam-5203	8	11	bernoulli	bernoulli	NOUN
ejpam-5203	8	12	and	and	CCONJ
ejpam-5203	8	13	euler	euler	NOUN
ejpam-5203	8	14	polynomials	polynomial	VERB
ejpam-5203	8	15	a	a	DET
ejpam-5203	8	16	famous	famous	ADJ
ejpam-5203	8	17	work	work	NOUN
ejpam-5203	8	18	of	of	ADP
ejpam-5203	8	19	jakob	jakob	PROPN
ejpam-5203	8	20	bernoulli	bernoulli	PROPN
ejpam-5203	8	21	(	(	PUNCT
ejpam-5203	8	22	1654	1654	NUM
ejpam-5203	8	23	-	-	SYM
ejpam-5203	8	24	1705	1705	NUM
ejpam-5203	8	25	)	)	PUNCT
ejpam-5203	8	26	when	when	SCONJ
ejpam-5203	8	27	he	he	PRON
ejpam-5203	8	28	studied	study	VERB
ejpam-5203	8	29	the	the	DET
ejpam-5203	8	30	sums	sum	NOUN
ejpam-5203	8	31	of	of	ADP
ejpam-5203	8	32	the	the	DET
ejpam-5203	8	33	pth	pth	NOUN
ejpam-5203	8	34	power	power	NOUN
ejpam-5203	8	35	of	of	ADP
ejpam-5203	8	36	the	the	DET
ejpam-5203	8	37	first	first	ADJ
ejpam-5203	8	38	n	n	ADV
ejpam-5203	8	39	−	−	NUM
ejpam-5203	8	40	1	1	NUM
ejpam-5203	8	41	integers	integer	NOUN
ejpam-5203	8	42	1p	1p	VERB
ejpam-5203	8	43	+	+	CCONJ
ejpam-5203	8	44	2p	2p	NUM
ejpam-5203	8	45	+	+	CCONJ
ejpam-5203	8	46	3p	3p	NUM
ejpam-5203	8	47	+	+	CCONJ
ejpam-5203	8	48	(	(	PUNCT
ejpam-5203	8	49	n	n	PROPN
ejpam-5203	8	50	−	−	PROPN
ejpam-5203	8	51	1)p	1)p	PROPN
ejpam-5203	8	52	.	.	PUNCT
ejpam-5203	9	1	one	one	NUM
ejpam-5203	9	2	of	of	ADP
ejpam-5203	9	3	the	the	DET
ejpam-5203	9	4	outgrowths	outgrowth	NOUN
ejpam-5203	9	5	on	on	ADP
ejpam-5203	9	6	the	the	DET
ejpam-5203	9	7	generalization	generalization	NOUN
ejpam-5203	9	8	of	of	ADP
ejpam-5203	9	9	classical	classical	ADJ
ejpam-5203	9	10	bernoulli	bernoulli	NOUN
ejpam-5203	9	11	polynomials	polynomial	NOUN
ejpam-5203	9	12	bn(x	bn(x	NOUN
ejpam-5203	9	13	)	)	PUNCT
ejpam-5203	9	14	is	be	AUX
ejpam-5203	9	15	the	the	DET
ejpam-5203	9	16	development	development	NOUN
ejpam-5203	9	17	of	of	ADP
ejpam-5203	9	18	the	the	DET
ejpam-5203	9	19	poly	poly	ADJ
ejpam-5203	9	20	-	-	PUNCT
ejpam-5203	9	21	bernoulli	bernoulli	NOUN
ejpam-5203	9	22	numbers	number	NOUN
ejpam-5203	9	23	b	b	X
ejpam-5203	9	24	(	(	PUNCT
ejpam-5203	9	25	k	k	NOUN
ejpam-5203	9	26	)	)	PUNCT
ejpam-5203	9	27	n	n	NOUN
ejpam-5203	9	28	and	and	CCONJ
ejpam-5203	9	29	polynomials	polynomial	NOUN
ejpam-5203	9	30	b	b	PROPN
ejpam-5203	9	31	(	(	PUNCT
ejpam-5203	9	32	k	k	NOUN
ejpam-5203	9	33	)	)	PUNCT
ejpam-5203	9	34	n	n	PROPN
ejpam-5203	9	35	(	(	PUNCT
ejpam-5203	9	36	x	x	NOUN
ejpam-5203	9	37	)	)	PUNCT
ejpam-5203	9	38	.	.	PUNCT
ejpam-5203	10	1	many	many	ADJ
ejpam-5203	10	2	researchers	researcher	NOUN
ejpam-5203	10	3	in	in	ADP
ejpam-5203	10	4	recent	recent	ADJ
ejpam-5203	10	5	decades	decade	NOUN
ejpam-5203	10	6	provided	provide	VERB
ejpam-5203	10	7	relation	relation	NOUN
ejpam-5203	10	8	to	to	PART
ejpam-5203	10	9	euler	euler	VERB
ejpam-5203	10	10	numbers	number	NOUN
ejpam-5203	10	11	en	en	X
ejpam-5203	10	12	and	and	CCONJ
ejpam-5203	10	13	polynomials	polynomial	VERB
ejpam-5203	10	14	∗corresponding	∗corresponde	VERB
ejpam-5203	10	15	author	author	NOUN
ejpam-5203	10	16	.	.	PUNCT
ejpam-5203	11	1	doi	doi	NOUN
ejpam-5203	11	2	:	:	PUNCT
ejpam-5203	11	3	https://doi.org/10.29020/nybg.ejpam.v18i4.5203	https://doi.org/10.29020/nybg.ejpam.v18i4.5203	NUM
ejpam-5203	11	4	email	email	NOUN
ejpam-5203	11	5	addresses	address	NOUN
ejpam-5203	11	6	:	:	PUNCT
ejpam-5203	11	7	mark.laurente@ddosc.edu.ph	mark.laurente@ddosc.edu.ph	PROPN
ejpam-5203	11	8	(	(	PUNCT
ejpam-5203	11	9	m.	m.	NOUN
ejpam-5203	11	10	laurente	laurente	PROPN
ejpam-5203	11	11	)	)	PUNCT
ejpam-5203	11	12	,	,	PUNCT
ejpam-5203	11	13	az.ababa@dssc.edu.ph	az.ababa@dssc.edu.ph	PROPN
ejpam-5203	11	14	(	(	PUNCT
ejpam-5203	11	15	az	az	PROPN
ejpam-5203	11	16	d.	d.	PROPN
ejpam-5203	11	17	ababa	ababa	PROPN
ejpam-5203	11	18	)	)	PUNCT
ejpam-5203	11	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5203	12	1	1	1	NUM
ejpam-5203	12	2	copyright	copyright	NOUN
ejpam-5203	12	3	:	:	PUNCT
ejpam-5203	12	4	©	©	PROPN
ejpam-5203	12	5	2025	2025	NUM
ejpam-5203	12	6	the	the	DET
ejpam-5203	12	7	author(s	author(s	NOUN
ejpam-5203	12	8	)	)	PUNCT
ejpam-5203	12	9	.	.	PUNCT
ejpam-5203	13	1	(	(	PUNCT
ejpam-5203	13	2	cc	cc	NOUN
ejpam-5203	13	3	by	by	ADP
ejpam-5203	13	4	-	-	PUNCT
ejpam-5203	13	5	nc	nc	PROPN
ejpam-5203	13	6	4.0	4.0	NUM
ejpam-5203	13	7	)	)	PUNCT
ejpam-5203	13	8	m.	m.	NOUN
ejpam-5203	13	9	laurente	laurente	NOUN
ejpam-5203	13	10	,	,	PUNCT
ejpam-5203	13	11	az	az	PROPN
ejpam-5203	13	12	d.	d.	PROPN
ejpam-5203	13	13	ababa	ababa	PROPN
ejpam-5203	13	14	/	/	SYM
ejpam-5203	13	15	eur	eur	PROPN
ejpam-5203	13	16	.	.	PUNCT
ejpam-5203	14	1	j.	j.	PROPN
ejpam-5203	14	2	pure	pure	PROPN
ejpam-5203	14	3	appl	appl	PROPN
ejpam-5203	14	4	.	.	PROPN
ejpam-5203	14	5	math	math	PROPN
ejpam-5203	14	6	,	,	PUNCT
ejpam-5203	14	7	18	18	NUM
ejpam-5203	14	8	(	(	PUNCT
ejpam-5203	14	9	4	4	NUM
ejpam-5203	14	10	)	)	PUNCT
ejpam-5203	14	11	(	(	PUNCT
ejpam-5203	14	12	2025	2025	NUM
ejpam-5203	14	13	)	)	PUNCT
ejpam-5203	14	14	,	,	PUNCT
ejpam-5203	14	15	5203	5203	NUM
ejpam-5203	14	16	2	2	NUM
ejpam-5203	14	17	of	of	ADP
ejpam-5203	14	18	19	19	NUM
ejpam-5203	14	19	en(x	en(x	NOUN
ejpam-5203	14	20	)	)	PUNCT
ejpam-5203	14	21	,	,	PUNCT
ejpam-5203	14	22	genocchi	genocchi	PROPN
ejpam-5203	14	23	numbers	number	VERB
ejpam-5203	14	24	gn	gn	PROPN
ejpam-5203	14	25	and	and	CCONJ
ejpam-5203	14	26	polynomials	polynomial	NOUN
ejpam-5203	14	27	gn(x	gn(x	PUNCT
ejpam-5203	14	28	)	)	PUNCT
ejpam-5203	14	29	,	,	PUNCT
ejpam-5203	14	30	poly	poly	ADJ
ejpam-5203	14	31	-	-	PUNCT
ejpam-5203	14	32	euler	euler	NOUN
ejpam-5203	14	33	numbers	number	NOUN
ejpam-5203	14	34	e	e	X
ejpam-5203	14	35	(	(	PUNCT
ejpam-5203	14	36	k	k	NOUN
ejpam-5203	14	37	)	)	PUNCT
ejpam-5203	14	38	n	n	NOUN
ejpam-5203	14	39	and	and	CCONJ
ejpam-5203	14	40	polyeuler	polyeuler	NOUN
ejpam-5203	14	41	polynomials	polynomial	NOUN
ejpam-5203	14	42	e	e	X
ejpam-5203	14	43	(	(	PUNCT
ejpam-5203	14	44	k	k	NOUN
ejpam-5203	14	45	)	)	PUNCT
ejpam-5203	14	46	n	n	PROPN
ejpam-5203	14	47	(	(	PUNCT
ejpam-5203	14	48	x	x	NOUN
ejpam-5203	14	49	)	)	PUNCT
ejpam-5203	14	50	,	,	PUNCT
ejpam-5203	14	51	poly	poly	ADJ
ejpam-5203	14	52	-	-	PUNCT
ejpam-5203	14	53	genocchi	genocchi	PROPN
ejpam-5203	14	54	numbers	number	NOUN
ejpam-5203	14	55	g(k	g(k	VERB
ejpam-5203	14	56	)	)	PUNCT
ejpam-5203	14	57	n	n	NOUN
ejpam-5203	14	58	and	and	CCONJ
ejpam-5203	14	59	poly	poly	ADJ
ejpam-5203	14	60	-	-	PUNCT
ejpam-5203	14	61	genocchi	genocchi	NOUN
ejpam-5203	14	62	polynomials	polynomials	NOUN
ejpam-5203	14	63	g(k	g(k	VERB
ejpam-5203	14	64	)	)	PUNCT
ejpam-5203	14	65	n	n	CCONJ
ejpam-5203	14	66	(	(	PUNCT
ejpam-5203	14	67	x	x	NOUN
ejpam-5203	14	68	)	)	PUNCT
ejpam-5203	14	69	.	.	PUNCT
ejpam-5203	15	1	in	in	ADP
ejpam-5203	15	2	1970	1970	NUM
ejpam-5203	15	3	j.m	j.m	PROPN
ejpam-5203	15	4	.	.	PROPN
ejpam-5203	15	5	gandhi	gandhi	PROPN
ejpam-5203	16	1	[	[	X
ejpam-5203	16	2	1	1	X
ejpam-5203	16	3	]	]	PUNCT
ejpam-5203	16	4	presents	present	VERB
ejpam-5203	16	5	the	the	DET
ejpam-5203	16	6	conjectured	conjectured	NOUN
ejpam-5203	16	7	of	of	ADP
ejpam-5203	16	8	genocchi	genocchi	PROPN
ejpam-5203	16	9	numbers	number	NOUN
ejpam-5203	16	10	by	by	ADP
ejpam-5203	16	11	g2n	g2n	PROPN
ejpam-5203	16	12	=	=	SYM
ejpam-5203	16	13	(	(	PUNCT
ejpam-5203	16	14	−1)n	−1)n	PROPN
ejpam-5203	16	15	∑	∑	PROPN
ejpam-5203	16	16	12	12	NUM
ejpam-5203	16	17	∑	∑	SYM
ejpam-5203	16	18	22	22	NUM
ejpam-5203	16	19	∑	∑	SYM
ejpam-5203	16	20	32	32	NUM
ejpam-5203	16	21	·	·	SYM
ejpam-5203	16	22	·	·	PUNCT
ejpam-5203	16	23	·	·	PUNCT
ejpam-5203	16	24	∑	∑	PUNCT
ejpam-5203	16	25	(	(	PUNCT
ejpam-5203	16	26	n−1)2	n−1)2	ADJ
ejpam-5203	16	27	where	where	SCONJ
ejpam-5203	16	28	∑	∑	PUNCT
ejpam-5203	16	29	notation	notation	NOUN
ejpam-5203	16	30	is	be	AUX
ejpam-5203	16	31	defined	define	VERB
ejpam-5203	16	32	by∑	by∑	ADJ
ejpam-5203	16	33	k2	k2	PROPN
ejpam-5203	16	34	=	=	SYM
ejpam-5203	16	35	k2	k2	PROPN
ejpam-5203	16	36	−	−	PROPN
ejpam-5203	17	1	(	(	PUNCT
ejpam-5203	17	2	k	k	PROPN
ejpam-5203	17	3	−	−	PROPN
ejpam-5203	17	4	1)2	1)2	NUM
ejpam-5203	17	5	∑	∑	PROPN
ejpam-5203	17	6	k2	k2	PROPN
ejpam-5203	17	7	(	(	PUNCT
ejpam-5203	17	8	k	k	PROPN
ejpam-5203	17	9	−	−	PROPN
ejpam-5203	17	10	1)2	1)2	NUM
ejpam-5203	17	11	∑	∑	SYM
ejpam-5203	17	12	k2	k2	PROPN
ejpam-5203	17	13	∑	∑	PROPN
ejpam-5203	17	14	(	(	PUNCT
ejpam-5203	17	15	k	k	PROPN
ejpam-5203	17	16	−	−	PROPN
ejpam-5203	17	17	1)2	1)2	NUM
ejpam-5203	17	18	=	=	SYM
ejpam-5203	17	19	k2	k2	PROPN
ejpam-5203	17	20	∑	∑	PROPN
ejpam-5203	17	21	(	(	PUNCT
ejpam-5203	17	22	k	k	PROPN
ejpam-5203	17	23	+	+	PROPN
ejpam-5203	17	24	1)2	1)2	NUM
ejpam-5203	17	25	−	−	PROPN
ejpam-5203	18	1	(	(	PUNCT
ejpam-5203	18	2	k	k	PROPN
ejpam-5203	18	3	−	−	PROPN
ejpam-5203	18	4	1)2	1)2	NUM
ejpam-5203	18	5	∑	∑	PROPN
ejpam-5203	18	6	k2	k2	PROPN
ejpam-5203	18	7	=	=	SYM
ejpam-5203	18	8	k2	k2	PROPN
ejpam-5203	18	9	{	{	PUNCT
ejpam-5203	18	10	(	(	PUNCT
ejpam-5203	18	11	k	k	X
ejpam-5203	18	12	+	+	PROPN
ejpam-5203	18	13	1)2	1)2	NUM
ejpam-5203	18	14	−	−	PROPN
ejpam-5203	18	15	k2	k2	PROPN
ejpam-5203	18	16	}	}	PUNCT
ejpam-5203	18	17	−	−	PROPN
ejpam-5203	18	18	(	(	PUNCT
ejpam-5203	18	19	k	k	NOUN
ejpam-5203	18	20	−	−	PROPN
ejpam-5203	18	21	1)2	1)2	NUM
ejpam-5203	18	22	{	{	PUNCT
ejpam-5203	18	23	k2	k2	PROPN
ejpam-5203	18	24	−	−	PROPN
ejpam-5203	18	25	(	(	PUNCT
ejpam-5203	18	26	k	k	PROPN
ejpam-5203	18	27	−	−	PROPN
ejpam-5203	18	28	1)2	1)2	NUM
ejpam-5203	18	29	}	}	PUNCT
ejpam-5203	18	30	which	which	PRON
ejpam-5203	18	31	generalizes	generalize	VERB
ejpam-5203	18	32	to	to	ADP
ejpam-5203	18	33	the	the	DET
ejpam-5203	18	34	recurrence	recurrence	NOUN
ejpam-5203	18	35	form	form	NOUN
ejpam-5203	18	36	∑	∑	PUNCT
ejpam-5203	18	37	k2	k2	PROPN
ejpam-5203	18	38	∑	∑	PROPN
ejpam-5203	18	39	(	(	PUNCT
ejpam-5203	18	40	k	k	PROPN
ejpam-5203	18	41	−	−	PROPN
ejpam-5203	18	42	1)2	1)2	NUM
ejpam-5203	18	43	·	·	PUNCT
ejpam-5203	18	44	·	·	PUNCT
ejpam-5203	18	45	·	·	PUNCT
ejpam-5203	18	46	∑	∑	PUNCT
ejpam-5203	18	47	(	(	PUNCT
ejpam-5203	18	48	k	k	PROPN
ejpam-5203	18	49	+	+	PROPN
ejpam-5203	18	50	n)2	n)2	NOUN
ejpam-5203	18	51	=	=	SYM
ejpam-5203	18	52	k2	k2	PROPN
ejpam-5203	18	53	∑	∑	PROPN
ejpam-5203	18	54	(	(	PUNCT
ejpam-5203	18	55	k	k	PROPN
ejpam-5203	18	56	+	+	PROPN
ejpam-5203	18	57	1)2	1)2	NUM
ejpam-5203	18	58	∑	∑	PUNCT
ejpam-5203	18	59	(	(	PUNCT
ejpam-5203	18	60	k	k	PROPN
ejpam-5203	18	61	+	+	CCONJ
ejpam-5203	18	62	2)2	2)2	NUM
ejpam-5203	18	63	·	·	PUNCT
ejpam-5203	18	64	·	·	PUNCT
ejpam-5203	18	65	·	·	PUNCT
ejpam-5203	18	66	∑	∑	PUNCT
ejpam-5203	18	67	(	(	PUNCT
ejpam-5203	18	68	k	k	PROPN
ejpam-5203	18	69	+	+	ADJ
ejpam-5203	18	70	n)2−(k	n)2−(k	PROPN
ejpam-5203	18	71	−	−	PROPN
ejpam-5203	18	72	1)2	1)2	NUM
ejpam-5203	18	73	∑	∑	SYM
ejpam-5203	18	74	k2	k2	PROPN
ejpam-5203	18	75	∑	∑	PROPN
ejpam-5203	18	76	(	(	PUNCT
ejpam-5203	18	77	k	k	PROPN
ejpam-5203	18	78	+	+	PROPN
ejpam-5203	18	79	1)2	1)2	NUM
ejpam-5203	18	80	the	the	DET
ejpam-5203	18	81	recurrence	recurrence	NOUN
ejpam-5203	18	82	relation	relation	NOUN
ejpam-5203	18	83	was	be	AUX
ejpam-5203	18	84	proved	prove	VERB
ejpam-5203	18	85	by	by	ADP
ejpam-5203	18	86	riordan	riordan	PROPN
ejpam-5203	18	87	and	and	CCONJ
ejpam-5203	18	88	stien	stien	PROPN
ejpam-5203	19	1	[	[	X
ejpam-5203	19	2	2	2	NUM
ejpam-5203	19	3	]	]	PUNCT
ejpam-5203	19	4	by	by	ADP
ejpam-5203	19	5	means	mean	NOUN
ejpam-5203	19	6	of	of	ADP
ejpam-5203	19	7	analytic	analytic	ADJ
ejpam-5203	19	8	calculus	calculus	NOUN
ejpam-5203	19	9	.	.	PUNCT
ejpam-5203	20	1	there	there	PRON
ejpam-5203	20	2	are	be	VERB
ejpam-5203	20	3	several	several	ADJ
ejpam-5203	20	4	ways	way	NOUN
ejpam-5203	20	5	to	to	PART
ejpam-5203	20	6	define	define	VERB
ejpam-5203	20	7	the	the	DET
ejpam-5203	20	8	genocchi	genocchi	PROPN
ejpam-5203	20	9	numbers	number	NOUN
ejpam-5203	20	10	.	.	PUNCT
ejpam-5203	21	1	in	in	ADP
ejpam-5203	21	2	this	this	DET
ejpam-5203	21	3	paper	paper	NOUN
ejpam-5203	21	4	,	,	PUNCT
ejpam-5203	21	5	we	we	PRON
ejpam-5203	21	6	adopt	adopt	VERB
ejpam-5203	21	7	the	the	DET
ejpam-5203	21	8	definition	definition	NOUN
ejpam-5203	21	9	of	of	ADP
ejpam-5203	21	10	[	[	X
ejpam-5203	21	11	3–8]which	3–8]which	PROPN
ejpam-5203	21	12	are	be	AUX
ejpam-5203	21	13	a	a	DET
ejpam-5203	21	14	sequence	sequence	NOUN
ejpam-5203	21	15	of	of	ADP
ejpam-5203	21	16	integers	integer	NOUN
ejpam-5203	21	17	that	that	PRON
ejpam-5203	21	18	are	be	AUX
ejpam-5203	21	19	defined	define	VERB
ejpam-5203	21	20	by	by	ADP
ejpam-5203	21	21	the	the	DET
ejpam-5203	21	22	exponential	exponential	ADJ
ejpam-5203	21	23	generating	generating	NOUN
ejpam-5203	21	24	function	function	NOUN
ejpam-5203	21	25	2	2	NUM
ejpam-5203	21	26	t	t	NOUN
ejpam-5203	21	27	et	et	NOUN
ejpam-5203	21	28	+	+	CCONJ
ejpam-5203	21	29	1	1	X
ejpam-5203	21	30	=	=	SYM
ejpam-5203	21	31	∞∑	∞∑	NUM
ejpam-5203	21	32	n=0	n=0	NUM
ejpam-5203	21	33	gn	gn	PROPN
ejpam-5203	21	34	tn	tn	PROPN
ejpam-5203	21	35	n	n	PROPN
ejpam-5203	21	36	!	!	PROPN
ejpam-5203	21	37	,	,	PUNCT
ejpam-5203	21	38	|t|	|t|	VERB
ejpam-5203	21	39	<	<	X
ejpam-5203	21	40	π	π	PROPN
ejpam-5203	21	41	.	.	PUNCT
ejpam-5203	22	1	(	(	PUNCT
ejpam-5203	22	2	1	1	X
ejpam-5203	22	3	)	)	PUNCT
ejpam-5203	22	4	with	with	ADP
ejpam-5203	22	5	the	the	DET
ejpam-5203	22	6	usual	usual	ADJ
ejpam-5203	22	7	convention	convention	NOUN
ejpam-5203	22	8	about	about	ADP
ejpam-5203	22	9	replacing	replace	VERB
ejpam-5203	22	10	gn	gn	INTJ
ejpam-5203	22	11	by	by	ADP
ejpam-5203	22	12	gn	gn	PROPN
ejpam-5203	22	13	,	,	PUNCT
ejpam-5203	22	14	is	be	AUX
ejpam-5203	22	15	used	use	VERB
ejpam-5203	22	16	.	.	PUNCT
ejpam-5203	23	1	these	these	PRON
ejpam-5203	23	2	are	be	AUX
ejpam-5203	23	3	few	few	ADJ
ejpam-5203	23	4	genocchi	genocchi	PROPN
ejpam-5203	23	5	numbers	number	NOUN
ejpam-5203	23	6	:	:	PUNCT
ejpam-5203	23	7	g0	g0	PROPN
ejpam-5203	23	8	=	=	SYM
ejpam-5203	23	9	0	0	NUM
ejpam-5203	23	10	,	,	PUNCT
ejpam-5203	23	11	g1	g1	NOUN
ejpam-5203	23	12	=	=	SYM
ejpam-5203	23	13	1	1	NUM
ejpam-5203	23	14	,	,	PUNCT
ejpam-5203	23	15	g2	g2	PROPN
ejpam-5203	23	16	=	=	SYM
ejpam-5203	23	17	−1	−1	PROPN
ejpam-5203	23	18	,	,	PUNCT
ejpam-5203	23	19	g3	g3	X
ejpam-5203	23	20	=	=	SYM
ejpam-5203	23	21	0	0	NUM
ejpam-5203	23	22	,	,	PUNCT
ejpam-5203	23	23	g4	g4	NOUN
ejpam-5203	23	24	=	=	SYM
ejpam-5203	23	25	1	1	NUM
ejpam-5203	23	26	,	,	PUNCT
ejpam-5203	23	27	g5	g5	NOUN
ejpam-5203	23	28	=	=	SYM
ejpam-5203	23	29	0	0	NUM
ejpam-5203	23	30	,	,	PUNCT
ejpam-5203	23	31	g6	g6	NOUN
ejpam-5203	23	32	=	=	SYM
ejpam-5203	23	33	−3	−3	ADV
ejpam-5203	23	34	,	,	PUNCT
ejpam-5203	23	35	g7	g7	PROPN
ejpam-5203	23	36	=	=	SYM
ejpam-5203	23	37	0	0	PROPN
ejpam-5203	23	38	,	,	PUNCT
ejpam-5203	23	39	g8	g8	PROPN
ejpam-5203	23	40	=	=	SYM
ejpam-5203	23	41	17,and	17,and	NUM
ejpam-5203	23	42	etc	etc	X
ejpam-5203	23	43	.	.	PUNCT
ejpam-5203	24	1	the	the	DET
ejpam-5203	24	2	classical	classical	ADJ
ejpam-5203	24	3	definition	definition	NOUN
ejpam-5203	24	4	of	of	ADP
ejpam-5203	24	5	genocchi	genocchi	PROPN
ejpam-5203	24	6	polynomials	polynomial	NOUN
ejpam-5203	24	7	,	,	PUNCT
ejpam-5203	24	8	denoted	denote	VERB
ejpam-5203	24	9	by	by	ADP
ejpam-5203	24	10	gn(x	gn(x	NOUN
ejpam-5203	24	11	)	)	PUNCT
ejpam-5203	24	12	,	,	PUNCT
ejpam-5203	24	13	is	be	AUX
ejpam-5203	24	14	usually	usually	ADV
ejpam-5203	24	15	defined	define	VERB
ejpam-5203	24	16	by	by	ADP
ejpam-5203	24	17	means	mean	NOUN
ejpam-5203	24	18	of	of	ADP
ejpam-5203	24	19	the	the	DET
ejpam-5203	24	20	exponential	exponential	ADJ
ejpam-5203	24	21	generating	generating	NOUN
ejpam-5203	24	22	function	function	NOUN
ejpam-5203	24	23	2	2	NUM
ejpam-5203	24	24	t	t	NOUN
ejpam-5203	24	25	et	et	NOUN
ejpam-5203	24	26	+	+	NOUN
ejpam-5203	24	27	1	1	NUM
ejpam-5203	24	28	ext	ext	NOUN
ejpam-5203	24	29	=	=	NOUN
ejpam-5203	24	30	∞∑	∞∑	NUM
ejpam-5203	24	31	n=0	n=0	NUM
ejpam-5203	24	32	gn(x	gn(x	NOUN
ejpam-5203	24	33	)	)	PUNCT
ejpam-5203	24	34	tn	tn	NOUN
ejpam-5203	24	35	n	n	CCONJ
ejpam-5203	24	36	!	!	PUNCT
ejpam-5203	24	37	,	,	PUNCT
ejpam-5203	24	38	|t|	|t|	VERB
ejpam-5203	24	39	<	<	X
ejpam-5203	24	40	π	π	X
ejpam-5203	24	41	(	(	PUNCT
ejpam-5203	24	42	2	2	NUM
ejpam-5203	24	43	)	)	PUNCT
ejpam-5203	24	44	where	where	SCONJ
ejpam-5203	24	45	gn(x	gn(x	X
ejpam-5203	24	46	)	)	PUNCT
ejpam-5203	24	47	is	be	AUX
ejpam-5203	24	48	the	the	DET
ejpam-5203	24	49	genocchi	genocchi	PROPN
ejpam-5203	24	50	polynomials	polynomial	NOUN
ejpam-5203	24	51	of	of	ADP
ejpam-5203	24	52	degree	degree	NOUN
ejpam-5203	24	53	n	n	NOUN
ejpam-5203	24	54	and	and	CCONJ
ejpam-5203	24	55	is	be	AUX
ejpam-5203	24	56	given	give	VERB
ejpam-5203	24	57	by	by	ADP
ejpam-5203	24	58	gn(x	gn(x	PUNCT
ejpam-5203	24	59	)	)	PUNCT
ejpam-5203	24	60	=	=	SYM
ejpam-5203	24	61	n∑	n∑	NOUN
ejpam-5203	24	62	k=0	k=0	PROPN
ejpam-5203	24	63	(	(	PUNCT
ejpam-5203	24	64	n	n	CCONJ
ejpam-5203	24	65	k	k	NOUN
ejpam-5203	24	66	)	)	PUNCT
ejpam-5203	24	67	gkx	gkx	PROPN
ejpam-5203	24	68	n−k	n−k	NOUN
ejpam-5203	24	69	.	.	PUNCT
ejpam-5203	25	1	the	the	DET
ejpam-5203	25	2	first	first	ADJ
ejpam-5203	25	3	few	few	ADJ
ejpam-5203	25	4	genocchi	genocchi	NOUN
ejpam-5203	25	5	polynomials	polynomial	NOUN
ejpam-5203	25	6	are	be	AUX
ejpam-5203	25	7	[	[	X
ejpam-5203	25	8	9	9	NUM
ejpam-5203	25	9	]	]	PUNCT
ejpam-5203	25	10	:	:	PUNCT
ejpam-5203	25	11	g1(x	g1(x	NOUN
ejpam-5203	25	12	)	)	PUNCT
ejpam-5203	25	13	=	=	SYM
ejpam-5203	25	14	1	1	NUM
ejpam-5203	25	15	,	,	PUNCT
ejpam-5203	25	16	g2(x	g2(x	X
ejpam-5203	25	17	)	)	PUNCT
ejpam-5203	25	18	=	=	PUNCT
ejpam-5203	26	1	2x−	2x−	NUM
ejpam-5203	26	2	1	1	NUM
ejpam-5203	26	3	,	,	PUNCT
ejpam-5203	26	4	g3(x	g3(x	X
ejpam-5203	26	5	)	)	PUNCT
ejpam-5203	26	6	=	=	SYM
ejpam-5203	26	7	3x2	3x2	NUM
ejpam-5203	26	8	−	−	NOUN
ejpam-5203	26	9	3x	3x	NUM
ejpam-5203	26	10	,	,	PUNCT
ejpam-5203	26	11	g4(x	g4(x	NOUN
ejpam-5203	26	12	)	)	PUNCT
ejpam-5203	26	13	=	=	SYM
ejpam-5203	26	14	4x3	4x3	NUM
ejpam-5203	26	15	−	−	NUM
ejpam-5203	26	16	6x2	6x2	NUM
ejpam-5203	26	17	+	+	CCONJ
ejpam-5203	26	18	1	1	NUM
ejpam-5203	26	19	,	,	PUNCT
ejpam-5203	26	20	g5(x	g5(x	NOUN
ejpam-5203	26	21	)	)	PUNCT
ejpam-5203	26	22	=	=	SYM
ejpam-5203	27	1	5x4	5x4	NUM
ejpam-5203	27	2	−	−	NUM
ejpam-5203	27	3	10x3	10x3	NUM
ejpam-5203	28	1	+	+	NUM
ejpam-5203	29	1	5x	5x	NUM
ejpam-5203	29	2	m.	m.	NOUN
ejpam-5203	29	3	laurente	laurente	NOUN
ejpam-5203	29	4	,	,	PUNCT
ejpam-5203	29	5	az	az	PROPN
ejpam-5203	29	6	d.	d.	PROPN
ejpam-5203	29	7	ababa	ababa	PROPN
ejpam-5203	29	8	/	/	SYM
ejpam-5203	29	9	eur	eur	PROPN
ejpam-5203	29	10	.	.	PUNCT
ejpam-5203	30	1	j.	j.	PROPN
ejpam-5203	30	2	pure	pure	PROPN
ejpam-5203	30	3	appl	appl	PROPN
ejpam-5203	30	4	.	.	PROPN
ejpam-5203	30	5	math	math	PROPN
ejpam-5203	30	6	,	,	PUNCT
ejpam-5203	30	7	18	18	NUM
ejpam-5203	30	8	(	(	PUNCT
ejpam-5203	30	9	4	4	NUM
ejpam-5203	30	10	)	)	PUNCT
ejpam-5203	30	11	(	(	PUNCT
ejpam-5203	30	12	2025	2025	NUM
ejpam-5203	30	13	)	)	PUNCT
ejpam-5203	30	14	,	,	PUNCT
ejpam-5203	30	15	5203	5203	NUM
ejpam-5203	30	16	3	3	NUM
ejpam-5203	30	17	of	of	ADP
ejpam-5203	30	18	19	19	NUM
ejpam-5203	30	19	2	2	NUM
ejpam-5203	30	20	.	.	PUNCT
ejpam-5203	30	21	preliminaries	preliminary	NOUN
ejpam-5203	30	22	2.1	2.1	NUM
ejpam-5203	30	23	.	.	PUNCT
ejpam-5203	31	1	generating	generate	VERB
ejpam-5203	31	2	function	function	NOUN
ejpam-5203	31	3	and	and	CCONJ
ejpam-5203	31	4	polylogarithm	polylogarithm	PROPN
ejpam-5203	31	5	and	and	CCONJ
ejpam-5203	31	6	genocchi	genocchi	PROPN
ejpam-5203	31	7	polynomials	polynomial	VERB
ejpam-5203	31	8	the	the	DET
ejpam-5203	31	9	geometric	geometric	ADJ
ejpam-5203	31	10	series	series	NOUN
ejpam-5203	31	11	[	[	X
ejpam-5203	31	12	10	10	NUM
ejpam-5203	31	13	]	]	SYM
ejpam-5203	31	14	1	1	NUM
ejpam-5203	31	15	1−	1−	NUM
ejpam-5203	31	16	x	x	SYM
ejpam-5203	31	17	=	=	SYM
ejpam-5203	31	18	1+x+x2+x3	1+x+x2+x3	NUM
ejpam-5203	31	19	+	+	NUM
ejpam-5203	31	20	.	.	PUNCT
ejpam-5203	31	21	.	.	PUNCT
ejpam-5203	31	22	.	.	PUNCT
ejpam-5203	32	1	,	,	PUNCT
ejpam-5203	32	2	has	have	VERB
ejpam-5203	32	3	formal	formal	ADJ
ejpam-5203	32	4	power	power	NOUN
ejpam-5203	32	5	series	series	NOUN
ejpam-5203	32	6	∑	∑	PROPN
ejpam-5203	32	7	n≥0	n≥0	PROPN
ejpam-5203	32	8	xn	xn	PROPN
ejpam-5203	32	9	,	,	PUNCT
ejpam-5203	32	10	say	say	VERB
ejpam-5203	32	11	for	for	ADP
ejpam-5203	32	12	example	example	NOUN
ejpam-5203	32	13	the	the	DET
ejpam-5203	32	14	generating	generate	VERB
ejpam-5203	32	15	function	function	NOUN
ejpam-5203	32	16	of	of	ADP
ejpam-5203	32	17	a+	a+	PUNCT
ejpam-5203	32	18	ab+	ab+	NOUN
ejpam-5203	32	19	ab2	ab2	PROPN
ejpam-5203	32	20	+	+	CCONJ
ejpam-5203	32	21	ab3	ab3	PROPN
ejpam-5203	32	22	+	+	X
ejpam-5203	32	23	.	.	PUNCT
ejpam-5203	32	24	.	.	PUNCT
ejpam-5203	32	25	.	.	PUNCT
ejpam-5203	33	1	=	=	PUNCT
ejpam-5203	33	2	∑	∑	PUNCT
ejpam-5203	33	3	n≥0	n≥0	ADJ
ejpam-5203	33	4	abnxn	abnxn	NOUN
ejpam-5203	33	5	is	be	AUX
ejpam-5203	33	6	a	a	DET
ejpam-5203	33	7	1−	1−	NUM
ejpam-5203	33	8	bx	bx	NOUN
ejpam-5203	33	9	.	.	PUNCT
ejpam-5203	34	1	also	also	ADV
ejpam-5203	34	2	the	the	DET
ejpam-5203	34	3	exponential	exponential	ADJ
ejpam-5203	34	4	generating	generating	NOUN
ejpam-5203	34	5	function	function	NOUN
ejpam-5203	34	6	for	for	ADP
ejpam-5203	34	7	the	the	DET
ejpam-5203	34	8	sequence	sequence	NOUN
ejpam-5203	34	9	of	of	ADP
ejpam-5203	34	10	numbers	number	NOUN
ejpam-5203	34	11	(	(	PUNCT
ejpam-5203	34	12	ar	ar	NOUN
ejpam-5203	34	13	)	)	PUNCT
ejpam-5203	34	14	is	be	AUX
ejpam-5203	34	15	defined	define	VERB
ejpam-5203	34	16	to	to	PART
ejpam-5203	34	17	be	be	AUX
ejpam-5203	34	18	the	the	DET
ejpam-5203	34	19	power	power	NOUN
ejpam-5203	34	20	series	series	PROPN
ejpam-5203	34	21	a0	a0	PROPN
ejpam-5203	34	22	+	+	CCONJ
ejpam-5203	34	23	a1	a1	NOUN
ejpam-5203	34	24	x	x	SYM
ejpam-5203	34	25	1	1	X
ejpam-5203	34	26	!	!	PUNCT
ejpam-5203	35	1	+	+	NUM
ejpam-5203	35	2	a2	a2	PROPN
ejpam-5203	35	3	x	x	PUNCT
ejpam-5203	35	4	2	2	X
ejpam-5203	35	5	!	!	PUNCT
ejpam-5203	36	1	+	+	NUM
ejpam-5203	36	2	a3	a3	NOUN
ejpam-5203	36	3	x	x	PUNCT
ejpam-5203	36	4	3	3	X
ejpam-5203	36	5	!	!	PUNCT
ejpam-5203	37	1	+	+	CCONJ
ejpam-5203	37	2	.	.	PUNCT
ejpam-5203	37	3	.	.	PUNCT
ejpam-5203	37	4	.	.	PUNCT
ejpam-5203	38	1	+	+	CCONJ
ejpam-5203	38	2	ar	ar	NOUN
ejpam-5203	38	3	x	x	SYM
ejpam-5203	38	4	r	r	NOUN
ejpam-5203	38	5	!	!	PUNCT
ejpam-5203	39	1	+	+	CCONJ
ejpam-5203	39	2	.	.	PUNCT
ejpam-5203	39	3	.	.	PUNCT
ejpam-5203	39	4	.	.	PUNCT
ejpam-5203	40	1	=	=	PUNCT
ejpam-5203	41	1	∞∑	∞∑	NUM
ejpam-5203	41	2	r=0	r=0	PROPN
ejpam-5203	41	3	ar	ar	NOUN
ejpam-5203	41	4	xr	xr	PROPN
ejpam-5203	41	5	r	r	PROPN
ejpam-5203	41	6	!	!	PUNCT
ejpam-5203	41	7	.	.	PUNCT
ejpam-5203	42	1	consider	consider	VERB
ejpam-5203	42	2	the	the	DET
ejpam-5203	42	3	sequence	sequence	NOUN
ejpam-5203	42	4	(	(	PUNCT
ejpam-5203	42	5	ar	ar	NOUN
ejpam-5203	42	6	)	)	PUNCT
ejpam-5203	42	7	=	=	SYM
ejpam-5203	42	8	(	(	PUNCT
ejpam-5203	42	9	1	1	NUM
ejpam-5203	42	10	,	,	PUNCT
ejpam-5203	42	11	k	k	PROPN
ejpam-5203	42	12	,	,	PUNCT
ejpam-5203	42	13	k2	k2	PROPN
ejpam-5203	42	14	,	,	PUNCT
ejpam-5203	42	15	k3	k3	VERB
ejpam-5203	42	16	,	,	PUNCT
ejpam-5203	42	17	.	.	PUNCT
ejpam-5203	42	18	.	.	PUNCT
ejpam-5203	43	1	.	.	PUNCT
ejpam-5203	44	1	,	,	PUNCT
ejpam-5203	45	1	kr	kr	PROPN
ejpam-5203	45	2	,	,	PUNCT
ejpam-5203	45	3	.	.	PUNCT
ejpam-5203	45	4	.	.	PUNCT
ejpam-5203	45	5	.	.	PUNCT
ejpam-5203	45	6	)	)	PUNCT
ejpam-5203	46	1	where	where	SCONJ
ejpam-5203	46	2	k	k	PROPN
ejpam-5203	46	3	is	be	AUX
ejpam-5203	46	4	a	a	DET
ejpam-5203	46	5	nonzero	nonzero	NOUN
ejpam-5203	46	6	constant	constant	ADJ
ejpam-5203	46	7	.	.	PUNCT
ejpam-5203	47	1	the	the	DET
ejpam-5203	47	2	exponential	exponential	ADJ
ejpam-5203	47	3	generating	generating	NOUN
ejpam-5203	47	4	function	function	NOUN
ejpam-5203	47	5	for	for	ADP
ejpam-5203	47	6	(	(	PUNCT
ejpam-5203	47	7	ar	ar	NOUN
ejpam-5203	47	8	)	)	PUNCT
ejpam-5203	47	9	is	be	AUX
ejpam-5203	47	10	1	1	NUM
ejpam-5203	47	11	+	+	CCONJ
ejpam-5203	47	12	kx	kx	PROPN
ejpam-5203	47	13	1	1	NUM
ejpam-5203	47	14	!	!	PUNCT
ejpam-5203	48	1	+	+	CCONJ
ejpam-5203	48	2	k2x2	k2x2	X
ejpam-5203	48	3	2	2	NUM
ejpam-5203	48	4	!	!	PUNCT
ejpam-5203	49	1	+	+	CCONJ
ejpam-5203	49	2	.	.	PUNCT
ejpam-5203	49	3	.	.	PUNCT
ejpam-5203	49	4	.	.	PUNCT
ejpam-5203	50	1	=	=	PUNCT
ejpam-5203	51	1	∞∑	∞∑	NUM
ejpam-5203	51	2	r=0	r=0	PROPN
ejpam-5203	51	3	(	(	PUNCT
ejpam-5203	51	4	kx)r	kx)r	NOUN
ejpam-5203	51	5	r	r	NOUN
ejpam-5203	51	6	!	!	PUNCT
ejpam-5203	51	7	=	=	NOUN
ejpam-5203	51	8	ekx	ekx	PROPN
ejpam-5203	51	9	.	.	PUNCT
ejpam-5203	52	1	the	the	DET
ejpam-5203	52	2	classical	classical	ADJ
ejpam-5203	52	3	polylogarithmic	polylogarithmic	ADJ
ejpam-5203	52	4	function	function	NOUN
ejpam-5203	52	5	[	[	X
ejpam-5203	52	6	11	11	NUM
ejpam-5203	52	7	]	]	PUNCT
ejpam-5203	52	8	is	be	AUX
ejpam-5203	52	9	defined	define	VERB
ejpam-5203	52	10	by	by	ADP
ejpam-5203	52	11	lik(z	lik(z	PROPN
ejpam-5203	52	12	)	)	PUNCT
ejpam-5203	53	1	=	=	PUNCT
ejpam-5203	54	1	∞∑	∞∑	NUM
ejpam-5203	54	2	n=1	n=1	PROPN
ejpam-5203	54	3	zn	zn	PROPN
ejpam-5203	54	4	nk	nk	PROPN
ejpam-5203	54	5	(	(	PUNCT
ejpam-5203	54	6	3	3	NUM
ejpam-5203	54	7	)	)	PUNCT
ejpam-5203	54	8	which	which	PRON
ejpam-5203	54	9	is	be	AUX
ejpam-5203	54	10	the	the	DET
ejpam-5203	54	11	k	k	NOUN
ejpam-5203	54	12	-	-	PUNCT
ejpam-5203	54	13	th	th	VERB
ejpam-5203	54	14	polylogarithm	polylogarithm	NOUN
ejpam-5203	54	15	if	if	SCONJ
ejpam-5203	54	16	k	k	PROPN
ejpam-5203	54	17	≥	≥	VERB
ejpam-5203	54	18	1	1	NUM
ejpam-5203	54	19	and	and	CCONJ
ejpam-5203	54	20	a	a	DET
ejpam-5203	54	21	rational	rational	ADJ
ejpam-5203	54	22	function	function	NOUN
ejpam-5203	54	23	if	if	SCONJ
ejpam-5203	54	24	k	k	PROPN
ejpam-5203	54	25	≤	≤	ADV
ejpam-5203	54	26	0	0	NUM
ejpam-5203	54	27	.	.	PUNCT
ejpam-5203	55	1	the	the	DET
ejpam-5203	55	2	multiple	multiple	ADJ
ejpam-5203	55	3	polylogarithms	polylogarithm	NOUN
ejpam-5203	55	4	[	[	X
ejpam-5203	55	5	12	12	NUM
ejpam-5203	55	6	]	]	PUNCT
ejpam-5203	55	7	are	be	AUX
ejpam-5203	55	8	defined	define	VERB
ejpam-5203	55	9	by	by	ADP
ejpam-5203	55	10	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	55	11	,	,	PUNCT
ejpam-5203	55	12	·	·	PUNCT
ejpam-5203	55	13	·	·	PUNCT
ejpam-5203	55	14	·	·	PUNCT
ejpam-5203	55	15	,	,	PUNCT
ejpam-5203	55	16	kr	kr	PROPN
ejpam-5203	55	17	(	(	PUNCT
ejpam-5203	55	18	z	z	NOUN
ejpam-5203	55	19	)	)	PUNCT
ejpam-5203	55	20	=	=	PUNCT
ejpam-5203	55	21	∑	∑	PUNCT
ejpam-5203	55	22	0	0	NUM
ejpam-5203	55	23	<	<	X
ejpam-5203	55	24	m1	m1	PROPN
ejpam-5203	55	25	<	<	X
ejpam-5203	55	26	m2	m2	PROPN
ejpam-5203	55	27	...	...	PUNCT
ejpam-5203	55	28	<mr	<mr	X
ejpam-5203	55	29	zmr	zmr	PROPN
ejpam-5203	55	30	mk1	mk1	VERB
ejpam-5203	55	31	1	1	NUM
ejpam-5203	55	32	mk2	mk2	PROPN
ejpam-5203	55	33	2	2	NUM
ejpam-5203	55	34	·	·	PUNCT
ejpam-5203	55	35	·	·	PUNCT
ejpam-5203	56	1	·	·	PUNCT
ejpam-5203	56	2	mkr	mkr	PROPN
ejpam-5203	56	3	r	r	NOUN
ejpam-5203	56	4	.	.	PUNCT
ejpam-5203	57	1	(	(	PUNCT
ejpam-5203	57	2	4	4	X
ejpam-5203	57	3	)	)	PUNCT
ejpam-5203	57	4	where	where	SCONJ
ejpam-5203	57	5	k1	k1	NOUN
ejpam-5203	57	6	,	,	PUNCT
ejpam-5203	57	7	k2	k2	NOUN
ejpam-5203	57	8	,	,	PUNCT
ejpam-5203	57	9	·	·	PUNCT
ejpam-5203	57	10	·	·	PUNCT
ejpam-5203	57	11	·	·	PUNCT
ejpam-5203	57	12	,	,	PUNCT
ejpam-5203	57	13	kr	kr	PROPN
ejpam-5203	57	14	are	be	AUX
ejpam-5203	57	15	positive	positive	ADJ
ejpam-5203	57	16	integers	integer	NOUN
ejpam-5203	57	17	and	and	CCONJ
ejpam-5203	57	18	z	z	NOUN
ejpam-5203	57	19	a	a	DET
ejpam-5203	57	20	complex	complex	ADJ
ejpam-5203	57	21	number	number	NOUN
ejpam-5203	57	22	in	in	ADP
ejpam-5203	57	23	the	the	DET
ejpam-5203	57	24	unit	unit	NOUN
ejpam-5203	57	25	disk	disk	NOUN
ejpam-5203	57	26	.	.	PUNCT
ejpam-5203	58	1	for	for	ADP
ejpam-5203	58	2	r	r	NOUN
ejpam-5203	58	3	=	=	SYM
ejpam-5203	58	4	1	1	NUM
ejpam-5203	58	5	,	,	PUNCT
ejpam-5203	58	6	this	this	PRON
ejpam-5203	58	7	is	be	AUX
ejpam-5203	58	8	the	the	DET
ejpam-5203	58	9	classical	classical	ADJ
ejpam-5203	58	10	polylogarithm	polylogarithm	NOUN
ejpam-5203	58	11	lik(z	lik(z	PROPN
ejpam-5203	58	12	)	)	PUNCT
ejpam-5203	58	13	.	.	PUNCT
ejpam-5203	59	1	2.2	2.2	NUM
ejpam-5203	59	2	.	.	PUNCT
ejpam-5203	59	3	variation	variation	NOUN
ejpam-5203	59	4	of	of	ADP
ejpam-5203	59	5	genocchi	genocchi	PROPN
ejpam-5203	59	6	polynomial	polynomial	ADJ
ejpam-5203	59	7	different	different	ADJ
ejpam-5203	59	8	authors	author	NOUN
ejpam-5203	59	9	who	who	PRON
ejpam-5203	59	10	studied	study	VERB
ejpam-5203	59	11	the	the	DET
ejpam-5203	59	12	work	work	NOUN
ejpam-5203	59	13	of	of	ADP
ejpam-5203	59	14	apostol	apostol	NOUN
ejpam-5203	59	15	,	,	PUNCT
ejpam-5203	59	16	used	use	VERB
ejpam-5203	59	17	generating	generating	NOUN
ejpam-5203	59	18	functions	function	NOUN
ejpam-5203	59	19	with	with	ADP
ejpam-5203	59	20	a	a	DET
ejpam-5203	59	21	twist	twist	NOUN
ejpam-5203	59	22	—	—	PUNCT
ejpam-5203	59	23	inserting	insert	VERB
ejpam-5203	59	24	a	a	DET
ejpam-5203	59	25	parameter	parameter	NOUN
ejpam-5203	59	26	λ	λ	NOUN
ejpam-5203	59	27	—	—	PUNCT
ejpam-5203	59	28	which	which	PRON
ejpam-5203	59	29	gave	give	VERB
ejpam-5203	59	30	them	they	PRON
ejpam-5203	59	31	a	a	DET
ejpam-5203	59	32	greater	great	ADJ
ejpam-5203	59	33	flexibility	flexibility	NOUN
ejpam-5203	59	34	and	and	CCONJ
ejpam-5203	59	35	allowed	allow	VERB
ejpam-5203	59	36	connections	connection	NOUN
ejpam-5203	59	37	to	to	ADP
ejpam-5203	59	38	new	new	ADJ
ejpam-5203	59	39	types	type	NOUN
ejpam-5203	59	40	of	of	ADP
ejpam-5203	59	41	zeta	zeta	NOUN
ejpam-5203	59	42	functions	function	NOUN
ejpam-5203	59	43	,	,	PUNCT
ejpam-5203	59	44	when	when	SCONJ
ejpam-5203	59	45	they	they	PRON
ejpam-5203	59	46	were	be	AUX
ejpam-5203	59	47	studying	study	VERB
ejpam-5203	59	48	in	in	ADP
ejpam-5203	59	49	the	the	DET
ejpam-5203	59	50	generalization	generalization	NOUN
ejpam-5203	59	51	the	the	DET
ejpam-5203	59	52	bernoulli	bernoulli	NOUN
ejpam-5203	59	53	polynomials	polynomial	NOUN
ejpam-5203	59	54	.	.	PUNCT
ejpam-5203	60	1	then	then	ADV
ejpam-5203	60	2	several	several	ADJ
ejpam-5203	60	3	mathematician	mathematician	NOUN
ejpam-5203	60	4	was	be	AUX
ejpam-5203	60	5	intrigue	intrigue	NOUN
ejpam-5203	60	6	of	of	ADP
ejpam-5203	60	7	this	this	DET
ejpam-5203	60	8	grand	grand	ADJ
ejpam-5203	60	9	work	work	NOUN
ejpam-5203	60	10	and	and	CCONJ
ejpam-5203	60	11	further	far	ADV
ejpam-5203	60	12	do	do	VERB
ejpam-5203	60	13	more	more	ADJ
ejpam-5203	60	14	research	research	NOUN
ejpam-5203	60	15	on	on	ADP
ejpam-5203	60	16	it	it	PRON
ejpam-5203	60	17	which	which	PRON
ejpam-5203	60	18	now	now	ADV
ejpam-5203	60	19	resulted	result	VERB
ejpam-5203	60	20	to	to	ADP
ejpam-5203	60	21	the	the	DET
ejpam-5203	60	22	closed	closed	ADJ
ejpam-5203	60	23	relation	relation	NOUN
ejpam-5203	60	24	of	of	ADP
ejpam-5203	60	25	and	and	CCONJ
ejpam-5203	60	26	several	several	ADJ
ejpam-5203	60	27	variation	variation	NOUN
ejpam-5203	60	28	of	of	ADP
ejpam-5203	60	29	bernoulli	bernoulli	PROPN
ejpam-5203	60	30	,	,	PUNCT
ejpam-5203	60	31	euler	euler	NOUN
ejpam-5203	60	32	,	,	PUNCT
ejpam-5203	60	33	and	and	CCONJ
ejpam-5203	60	34	genocchi	genocchi	PROPN
ejpam-5203	60	35	polynomials	polynomial	NOUN
ejpam-5203	60	36	.	.	PUNCT
ejpam-5203	61	1	one	one	NUM
ejpam-5203	61	2	of	of	ADP
ejpam-5203	61	3	the	the	DET
ejpam-5203	61	4	interesting	interesting	ADJ
ejpam-5203	61	5	result	result	NOUN
ejpam-5203	61	6	that	that	PRON
ejpam-5203	61	7	arise	arise	VERB
ejpam-5203	61	8	from	from	ADP
ejpam-5203	61	9	those	those	DET
ejpam-5203	61	10	researches	research	NOUN
ejpam-5203	61	11	is	be	AUX
ejpam-5203	61	12	the	the	DET
ejpam-5203	61	13	apostol	apostol	NOUN
ejpam-5203	61	14	-	-	PUNCT
ejpam-5203	61	15	genocchi	genocchi	NOUN
ejpam-5203	61	16	polynomial	polynomial	NOUN
ejpam-5203	61	17	.	.	PUNCT
ejpam-5203	62	1	∞∑	∞∑	PRON
ejpam-5203	62	2	n=0	n=0	ADJ
ejpam-5203	62	3	g(x	g(x	NOUN
ejpam-5203	62	4	,	,	PUNCT
ejpam-5203	62	5	λ	λ	NOUN
ejpam-5203	62	6	)	)	PUNCT
ejpam-5203	62	7	t	t	PROPN
ejpam-5203	62	8	n	n	NOUN
ejpam-5203	62	9	n	n	CCONJ
ejpam-5203	62	10	!	!	PUNCT
ejpam-5203	63	1	=	=	SYM
ejpam-5203	64	1	2	2	NUM
ejpam-5203	64	2	t	t	NOUN
ejpam-5203	64	3	λet	λet	NOUN
ejpam-5203	65	1	+	+	CCONJ
ejpam-5203	65	2	1	1	NUM
ejpam-5203	65	3	ext	ext	NOUN
ejpam-5203	65	4	,	,	PUNCT
ejpam-5203	65	5	(	(	PUNCT
ejpam-5203	65	6	5	5	X
ejpam-5203	65	7	)	)	PUNCT
ejpam-5203	65	8	other	other	ADJ
ejpam-5203	65	9	variations	variation	NOUN
ejpam-5203	65	10	of	of	ADP
ejpam-5203	65	11	genocchi	genocchi	PROPN
ejpam-5203	65	12	polynomials	polynomial	NOUN
ejpam-5203	65	13	that	that	PRON
ejpam-5203	65	14	appeared	appear	VERB
ejpam-5203	65	15	in	in	ADP
ejpam-5203	65	16	the	the	DET
ejpam-5203	65	17	literature	literature	NOUN
ejpam-5203	65	18	is	be	AUX
ejpam-5203	65	19	the	the	DET
ejpam-5203	65	20	apostolgenocchi	apostolgenocchi	NOUN
ejpam-5203	65	21	polynomials	polynomial	NOUN
ejpam-5203	65	22	of	of	ADP
ejpam-5203	65	23	higher	high	ADJ
ejpam-5203	65	24	order	order	NOUN
ejpam-5203	65	25	,	,	PUNCT
ejpam-5203	65	26	which	which	PRON
ejpam-5203	65	27	defined	define	VERB
ejpam-5203	65	28	by	by	ADP
ejpam-5203	65	29	∞∑	∞∑	NUM
ejpam-5203	65	30	n=0	n=0	PROPN
ejpam-5203	65	31	g(k)(x	g(k)(x	NOUN
ejpam-5203	65	32	,	,	PUNCT
ejpam-5203	65	33	λ	λ	NOUN
ejpam-5203	65	34	)	)	PUNCT
ejpam-5203	65	35	tn	tn	PROPN
ejpam-5203	65	36	n	n	PROPN
ejpam-5203	65	37	!	!	PUNCT
ejpam-5203	66	1	=	=	PUNCT
ejpam-5203	66	2	(	(	PUNCT
ejpam-5203	66	3	2	2	NUM
ejpam-5203	66	4	t	t	NOUN
ejpam-5203	66	5	λet	λet	NOUN
ejpam-5203	67	1	+	+	CCONJ
ejpam-5203	67	2	1	1	X
ejpam-5203	67	3	)	)	PUNCT
ejpam-5203	67	4	k	k	PROPN
ejpam-5203	67	5	ext	ext	PROPN
ejpam-5203	67	6	,	,	PUNCT
ejpam-5203	67	7	(	(	PUNCT
ejpam-5203	67	8	6	6	X
ejpam-5203	67	9	)	)	PUNCT
ejpam-5203	67	10	m.	m.	NOUN
ejpam-5203	67	11	laurente	laurente	NOUN
ejpam-5203	67	12	,	,	PUNCT
ejpam-5203	67	13	az	az	PROPN
ejpam-5203	67	14	d.	d.	PROPN
ejpam-5203	67	15	ababa	ababa	PROPN
ejpam-5203	67	16	/	/	SYM
ejpam-5203	67	17	eur	eur	PROPN
ejpam-5203	67	18	.	.	PUNCT
ejpam-5203	68	1	j.	j.	PROPN
ejpam-5203	68	2	pure	pure	PROPN
ejpam-5203	68	3	appl	appl	PROPN
ejpam-5203	68	4	.	.	PROPN
ejpam-5203	68	5	math	math	PROPN
ejpam-5203	68	6	,	,	PUNCT
ejpam-5203	68	7	18	18	NUM
ejpam-5203	68	8	(	(	PUNCT
ejpam-5203	68	9	4	4	NUM
ejpam-5203	68	10	)	)	PUNCT
ejpam-5203	68	11	(	(	PUNCT
ejpam-5203	68	12	2025	2025	NUM
ejpam-5203	68	13	)	)	PUNCT
ejpam-5203	68	14	,	,	PUNCT
ejpam-5203	68	15	5203	5203	NUM
ejpam-5203	68	16	4	4	NUM
ejpam-5203	68	17	of	of	ADP
ejpam-5203	68	18	19	19	NUM
ejpam-5203	68	19	(	(	PUNCT
ejpam-5203	68	20	see	see	VERB
ejpam-5203	68	21	[	[	X
ejpam-5203	68	22	13	13	NUM
ejpam-5203	68	23	]	]	PUNCT
ejpam-5203	68	24	,	,	PUNCT
ejpam-5203	69	1	[	[	X
ejpam-5203	69	2	14	14	NUM
ejpam-5203	69	3	]	]	PUNCT
ejpam-5203	69	4	,	,	PUNCT
ejpam-5203	69	5	[	[	X
ejpam-5203	69	6	3	3	NUM
ejpam-5203	69	7	,	,	PUNCT
ejpam-5203	69	8	15	15	NUM
ejpam-5203	69	9	,	,	PUNCT
ejpam-5203	69	10	16],[8	16],[8	NUM
ejpam-5203	69	11	]	]	PUNCT
ejpam-5203	69	12	)	)	PUNCT
ejpam-5203	69	13	.	.	PUNCT
ejpam-5203	70	1	it	it	PRON
ejpam-5203	70	2	is	be	AUX
ejpam-5203	70	3	also	also	ADV
ejpam-5203	70	4	important	important	ADJ
ejpam-5203	70	5	to	to	PART
ejpam-5203	70	6	note	note	VERB
ejpam-5203	70	7	that	that	SCONJ
ejpam-5203	70	8	the	the	DET
ejpam-5203	70	9	notation	notation	NOUN
ejpam-5203	70	10	of	of	ADP
ejpam-5203	70	11	araci	araci	NOUN
ejpam-5203	70	12	in	in	ADP
ejpam-5203	70	13	equation	equation	NOUN
ejpam-5203	70	14	(	(	PUNCT
ejpam-5203	70	15	7	7	NUM
ejpam-5203	70	16	)	)	PUNCT
ejpam-5203	70	17	of	of	ADP
ejpam-5203	70	18	higher	high	ADJ
ejpam-5203	70	19	order	order	NOUN
ejpam-5203	70	20	denoted	denote	VERB
ejpam-5203	70	21	by	by	ADP
ejpam-5203	70	22	k	k	PROPN
ejpam-5203	70	23	has	have	VERB
ejpam-5203	70	24	a	a	DET
ejpam-5203	70	25	different	different	ADJ
ejpam-5203	70	26	meaning	meaning	NOUN
ejpam-5203	70	27	in	in	ADP
ejpam-5203	70	28	the	the	DET
ejpam-5203	70	29	notation	notation	NOUN
ejpam-5203	70	30	of	of	ADP
ejpam-5203	70	31	k	k	PROPN
ejpam-5203	70	32	the	the	DET
ejpam-5203	70	33	poly	poly	ADJ
ejpam-5203	70	34	-	-	PUNCT
ejpam-5203	70	35	logarithm	logarithm	NOUN
ejpam-5203	70	36	other	other	ADJ
ejpam-5203	70	37	researchers	researcher	NOUN
ejpam-5203	70	38	like	like	ADP
ejpam-5203	70	39	corcino	corcino	NOUN
ejpam-5203	70	40	,	,	PUNCT
ejpam-5203	70	41	lou	lou	PROPN
ejpam-5203	70	42	,	,	PUNCT
ejpam-5203	70	43	srivastava	srivastava	PROPN
ejpam-5203	70	44	,	,	PUNCT
ejpam-5203	70	45	who	who	PRON
ejpam-5203	70	46	study	study	VERB
ejpam-5203	70	47	the	the	DET
ejpam-5203	70	48	higher	high	ADJ
ejpam-5203	70	49	order	order	NOUN
ejpam-5203	70	50	of	of	ADP
ejpam-5203	70	51	genocchi	genocchi	PROPN
ejpam-5203	70	52	polynomial	polynomial	PROPN
ejpam-5203	70	53	is	be	AUX
ejpam-5203	70	54	using	use	VERB
ejpam-5203	70	55	α	α	PRON
ejpam-5203	70	56	to	to	PART
ejpam-5203	70	57	denote	denote	VERB
ejpam-5203	70	58	the	the	DET
ejpam-5203	70	59	higher	high	ADJ
ejpam-5203	70	60	order	order	NOUN
ejpam-5203	70	61	.	.	PUNCT
ejpam-5203	71	1	∞∑	∞∑	PRON
ejpam-5203	71	2	n=0	n=0	NUM
ejpam-5203	71	3	g(k	g(k	NOUN
ejpam-5203	71	4	)	)	PUNCT
ejpam-5203	71	5	n	n	CCONJ
ejpam-5203	71	6	(	(	PUNCT
ejpam-5203	71	7	x	x	X
ejpam-5203	71	8	)	)	PUNCT
ejpam-5203	71	9	tn	tn	PROPN
ejpam-5203	71	10	n	n	NOUN
ejpam-5203	71	11	!	!	PUNCT
ejpam-5203	71	12	=	=	PUNCT
ejpam-5203	72	1	(	(	PUNCT
ejpam-5203	72	2	2	2	NUM
ejpam-5203	72	3	t	t	NOUN
ejpam-5203	72	4	et	et	NOUN
ejpam-5203	72	5	+	+	CCONJ
ejpam-5203	72	6	1	1	X
ejpam-5203	72	7	)	)	PUNCT
ejpam-5203	72	8	k	k	PROPN
ejpam-5203	72	9	ext	ext	PROPN
ejpam-5203	72	10	,	,	PUNCT
ejpam-5203	72	11	(	(	PUNCT
ejpam-5203	72	12	7	7	X
ejpam-5203	72	13	)	)	PUNCT
ejpam-5203	72	14	araci	araci	NOUN
ejpam-5203	73	1	[	[	X
ejpam-5203	73	2	15	15	X
ejpam-5203	73	3	]	]	PUNCT
ejpam-5203	73	4	and	and	CCONJ
ejpam-5203	73	5	kim	kim	PROPN
ejpam-5203	73	6	et	et	PROPN
ejpam-5203	73	7	al	al	PROPN
ejpam-5203	73	8	.	.	PUNCT
ejpam-5203	74	1	[	[	X
ejpam-5203	74	2	14	14	NUM
ejpam-5203	74	3	]	]	PUNCT
ejpam-5203	74	4	did	do	VERB
ejpam-5203	74	5	some	some	DET
ejpam-5203	74	6	research	research	NOUN
ejpam-5203	74	7	on	on	ADP
ejpam-5203	74	8	equation	equation	NOUN
ejpam-5203	74	9	(	(	PUNCT
ejpam-5203	74	10	7	7	NUM
ejpam-5203	74	11	)	)	PUNCT
ejpam-5203	74	12	,	,	PUNCT
ejpam-5203	74	13	the	the	DET
ejpam-5203	74	14	genocchi	genocchi	PROPN
ejpam-5203	74	15	polynomials	polynomial	VERB
ejpam-5203	74	16	of	of	ADP
ejpam-5203	74	17	higher	high	ADJ
ejpam-5203	74	18	order	order	NOUN
ejpam-5203	74	19	arising	arise	VERB
ejpam-5203	74	20	from	from	ADP
ejpam-5203	74	21	genocchi	genocchi	PROPN
ejpam-5203	74	22	basis	basis	NOUN
ejpam-5203	74	23	.	.	PUNCT
ejpam-5203	75	1	the	the	DET
ejpam-5203	75	2	main	main	ADJ
ejpam-5203	75	3	objective	objective	NOUN
ejpam-5203	75	4	of	of	ADP
ejpam-5203	75	5	their	their	PRON
ejpam-5203	75	6	studies	study	NOUN
ejpam-5203	75	7	is	be	AUX
ejpam-5203	75	8	to	to	PART
ejpam-5203	75	9	derive	derive	VERB
ejpam-5203	75	10	interesting	interesting	ADJ
ejpam-5203	75	11	identities	identity	NOUN
ejpam-5203	75	12	on	on	ADP
ejpam-5203	75	13	(	(	PUNCT
ejpam-5203	75	14	5	5	X
ejpam-5203	75	15	)	)	PUNCT
ejpam-5203	75	16	using	use	VERB
ejpam-5203	75	17	a	a	DET
ejpam-5203	75	18	new	new	ADJ
ejpam-5203	75	19	method	method	NOUN
ejpam-5203	75	20	constructed	construct	VERB
ejpam-5203	75	21	by	by	ADP
ejpam-5203	75	22	kim	kim	PROPN
ejpam-5203	75	23	et	et	PROPN
ejpam-5203	75	24	al	al	PROPN
ejpam-5203	75	25	.	.	PUNCT
ejpam-5203	76	1	[	[	X
ejpam-5203	76	2	17	17	NUM
ejpam-5203	76	3	]	]	PUNCT
ejpam-5203	76	4	.	.	PUNCT
ejpam-5203	77	1	moreover	moreover	ADV
ejpam-5203	77	2	,	,	PUNCT
ejpam-5203	77	3	araci	araci	NOUN
ejpam-5203	77	4	and	and	CCONJ
ejpam-5203	77	5	he	he	PRON
ejpam-5203	78	1	[	[	X
ejpam-5203	78	2	3	3	NUM
ejpam-5203	78	3	,	,	PUNCT
ejpam-5203	78	4	15	15	NUM
ejpam-5203	78	5	,	,	PUNCT
ejpam-5203	78	6	16	16	NUM
ejpam-5203	78	7	]	]	PUNCT
ejpam-5203	78	8	introduced	introduce	VERB
ejpam-5203	78	9	(	(	PUNCT
ejpam-5203	78	10	7	7	X
ejpam-5203	78	11	)	)	PUNCT
ejpam-5203	78	12	an	an	DET
ejpam-5203	78	13	extension	extension	NOUN
ejpam-5203	78	14	of	of	ADP
ejpam-5203	78	15	the	the	DET
ejpam-5203	78	16	classic	classic	ADJ
ejpam-5203	78	17	genocchi	genocchi	NOUN
ejpam-5203	78	18	polynomials	polynomial	NOUN
ejpam-5203	78	19	called	call	VERB
ejpam-5203	78	20	the	the	DET
ejpam-5203	78	21	apostol	apostol	NOUN
ejpam-5203	78	22	-	-	PUNCT
ejpam-5203	78	23	genocchi	genocchi	PROPN
ejpam-5203	78	24	polynomials	polynomial	NOUN
ejpam-5203	78	25	from	from	ADP
ejpam-5203	78	26	which	which	PRON
ejpam-5203	78	27	araci	araci	NOUN
ejpam-5203	79	1	[	[	X
ejpam-5203	79	2	8	8	NUM
ejpam-5203	79	3	]	]	PUNCT
ejpam-5203	79	4	introduced	introduce	VERB
ejpam-5203	79	5	(	(	PUNCT
ejpam-5203	79	6	6	6	NUM
ejpam-5203	79	7	)	)	PUNCT
ejpam-5203	79	8	the	the	DET
ejpam-5203	79	9	higher	high	ADJ
ejpam-5203	79	10	order	order	NOUN
ejpam-5203	79	11	of	of	ADP
ejpam-5203	79	12	such	such	ADJ
ejpam-5203	79	13	polynomials	polynomial	NOUN
ejpam-5203	79	14	as	as	ADP
ejpam-5203	79	15	the	the	DET
ejpam-5203	79	16	generalized	generalize	VERB
ejpam-5203	79	17	apostol	apostol	NOUN
ejpam-5203	79	18	-	-	PUNCT
ejpam-5203	79	19	genocchi	genocchi	PROPN
ejpam-5203	79	20	polynomials	polynomial	NOUN
ejpam-5203	79	21	g(k	g(k	VERB
ejpam-5203	79	22	)	)	PUNCT
ejpam-5203	79	23	n	n	CCONJ
ejpam-5203	79	24	(	(	PUNCT
ejpam-5203	79	25	x	x	NOUN
ejpam-5203	79	26	,	,	PUNCT
ejpam-5203	79	27	λ	λ	NOUN
ejpam-5203	79	28	)	)	PUNCT
ejpam-5203	79	29	of	of	ADP
ejpam-5203	79	30	order	order	NOUN
ejpam-5203	79	31	k	k	PROPN
ejpam-5203	79	32	∈	∈	PROPN
ejpam-5203	79	33	c	c	PROPN
ejpam-5203	79	34	,	,	PUNCT
ejpam-5203	79	35	another	another	DET
ejpam-5203	79	36	variation	variation	NOUN
ejpam-5203	79	37	of	of	ADP
ejpam-5203	79	38	genocchi	genocchi	PROPN
ejpam-5203	79	39	polynomials	polynomial	NOUN
ejpam-5203	79	40	,	,	PUNCT
ejpam-5203	79	41	is	be	AUX
ejpam-5203	79	42	also	also	ADV
ejpam-5203	79	43	known	know	VERB
ejpam-5203	79	44	as	as	ADP
ejpam-5203	79	45	poly	poly	ADJ
ejpam-5203	79	46	-	-	PUNCT
ejpam-5203	79	47	genocchi	genocchi	NOUN
ejpam-5203	79	48	polynomials	polynomial	NOUN
ejpam-5203	79	49	,	,	PUNCT
ejpam-5203	79	50	was	be	AUX
ejpam-5203	79	51	introduced	introduce	VERB
ejpam-5203	79	52	by	by	ADP
ejpam-5203	79	53	kim	kim	PROPN
ejpam-5203	79	54	et	et	PROPN
ejpam-5203	79	55	al	al	PROPN
ejpam-5203	79	56	.	.	PUNCT
ejpam-5203	80	1	[	[	X
ejpam-5203	80	2	18	18	NUM
ejpam-5203	80	3	]	]	PUNCT
ejpam-5203	80	4	using	use	VERB
ejpam-5203	80	5	the	the	DET
ejpam-5203	80	6	concept	concept	NOUN
ejpam-5203	80	7	of	of	ADP
ejpam-5203	80	8	kth	kth	PROPN
ejpam-5203	80	9	poly	poly	ADJ
ejpam-5203	80	10	-	-	PUNCT
ejpam-5203	80	11	logarithm	logarithm	NOUN
ejpam-5203	80	12	,	,	PUNCT
ejpam-5203	80	13	denoted	denote	VERB
ejpam-5203	80	14	by	by	ADP
ejpam-5203	80	15	lik(z	lik(z	PROPN
ejpam-5203	80	16	)	)	PUNCT
ejpam-5203	80	17	,	,	PUNCT
ejpam-5203	80	18	which	which	PRON
ejpam-5203	80	19	is	be	AUX
ejpam-5203	80	20	given	give	VERB
ejpam-5203	80	21	by	by	ADP
ejpam-5203	80	22	∞∑	∞∑	PRON
ejpam-5203	80	23	n=0	n=0	PROPN
ejpam-5203	80	24	g(k	g(k	NOUN
ejpam-5203	80	25	)	)	PUNCT
ejpam-5203	80	26	n	n	CCONJ
ejpam-5203	80	27	(	(	PUNCT
ejpam-5203	80	28	x	x	X
ejpam-5203	80	29	)	)	PUNCT
ejpam-5203	80	30	tn	tn	PROPN
ejpam-5203	80	31	n	n	NOUN
ejpam-5203	80	32	!	!	PUNCT
ejpam-5203	81	1	=	=	SYM
ejpam-5203	81	2	2lik(1−	2lik(1−	NUM
ejpam-5203	81	3	e−t	e−t	NOUN
ejpam-5203	81	4	)	)	PUNCT
ejpam-5203	81	5	et	et	NOUN
ejpam-5203	82	1	+	+	NOUN
ejpam-5203	82	2	1	1	NUM
ejpam-5203	82	3	ext	ext	NOUN
ejpam-5203	82	4	.	.	PUNCT
ejpam-5203	83	1	(	(	PUNCT
ejpam-5203	83	2	8)	8)	NUM
ejpam-5203	83	3	moreover	moreover	ADV
ejpam-5203	83	4	,	,	PUNCT
ejpam-5203	83	5	a	a	DET
ejpam-5203	83	6	modified	modify	VERB
ejpam-5203	83	7	poly	poly	ADJ
ejpam-5203	83	8	-	-	PUNCT
ejpam-5203	83	9	genocchi	genocchi	NOUN
ejpam-5203	83	10	polynomials	polynomial	NOUN
ejpam-5203	83	11	,	,	PUNCT
ejpam-5203	83	12	denoted	denote	VERB
ejpam-5203	83	13	by	by	ADP
ejpam-5203	83	14	g(k	g(k	NOUN
ejpam-5203	83	15	)	)	PUNCT
ejpam-5203	83	16	n,2(x	n,2(x	NOUN
ejpam-5203	83	17	)	)	PUNCT
ejpam-5203	83	18	,	,	PUNCT
ejpam-5203	83	19	were	be	AUX
ejpam-5203	83	20	defined	define	VERB
ejpam-5203	83	21	by	by	ADP
ejpam-5203	83	22	kim	kim	PROPN
ejpam-5203	83	23	et	et	PROPN
ejpam-5203	83	24	al	al	PROPN
ejpam-5203	83	25	.	.	PUNCT
ejpam-5203	84	1	[	[	X
ejpam-5203	84	2	19	19	NUM
ejpam-5203	84	3	]	]	PUNCT
ejpam-5203	84	4	as	as	SCONJ
ejpam-5203	84	5	follows	follow	VERB
ejpam-5203	84	6	∞∑	∞∑	NUM
ejpam-5203	84	7	n=0	n=0	NUM
ejpam-5203	84	8	g(k	g(k	NOUN
ejpam-5203	84	9	)	)	PUNCT
ejpam-5203	84	10	n,2(x	n,2(x	NOUN
ejpam-5203	84	11	)	)	PUNCT
ejpam-5203	84	12	tn	tn	PROPN
ejpam-5203	84	13	n	n	ADV
ejpam-5203	84	14	!	!	PUNCT
ejpam-5203	85	1	=	=	PRON
ejpam-5203	85	2	lik(1−	lik(1−	PROPN
ejpam-5203	85	3	e−2	e−2	PROPN
ejpam-5203	85	4	t	t	PROPN
ejpam-5203	85	5	)	)	PUNCT
ejpam-5203	85	6	et	et	NOUN
ejpam-5203	86	1	+	+	NOUN
ejpam-5203	86	2	1	1	NUM
ejpam-5203	86	3	ext	ext	NOUN
ejpam-5203	86	4	.	.	PUNCT
ejpam-5203	87	1	(	(	PUNCT
ejpam-5203	87	2	9	9	X
ejpam-5203	87	3	)	)	PUNCT
ejpam-5203	87	4	note	note	NOUN
ejpam-5203	87	5	that	that	SCONJ
ejpam-5203	87	6	,	,	PUNCT
ejpam-5203	87	7	when	when	SCONJ
ejpam-5203	87	8	k	k	PROPN
ejpam-5203	87	9	=	=	SYM
ejpam-5203	87	10	1	1	NUM
ejpam-5203	87	11	,	,	PUNCT
ejpam-5203	87	12	equations	equation	NOUN
ejpam-5203	87	13	(	(	PUNCT
ejpam-5203	87	14	8)	8)	NUM
ejpam-5203	87	15	and	and	CCONJ
ejpam-5203	87	16	(	(	PUNCT
ejpam-5203	87	17	9	9	X
ejpam-5203	87	18	)	)	PUNCT
ejpam-5203	87	19	give	give	VERB
ejpam-5203	87	20	the	the	DET
ejpam-5203	87	21	genocchi	genocchi	NOUN
ejpam-5203	87	22	polynomials	polynomial	NOUN
ejpam-5203	87	23	in	in	ADP
ejpam-5203	87	24	(	(	PUNCT
ejpam-5203	87	25	2	2	NUM
ejpam-5203	87	26	)	)	PUNCT
ejpam-5203	87	27	.	.	PUNCT
ejpam-5203	88	1	that	that	PRON
ejpam-5203	88	2	is	be	AUX
ejpam-5203	88	3	,	,	PUNCT
ejpam-5203	88	4	g(1	g(1	NOUN
ejpam-5203	88	5	)	)	PUNCT
ejpam-5203	88	6	n	n	CCONJ
ejpam-5203	88	7	(	(	PUNCT
ejpam-5203	88	8	x	x	X
ejpam-5203	88	9	)	)	PUNCT
ejpam-5203	88	10	=	=	SYM
ejpam-5203	88	11	g(1	g(1	NOUN
ejpam-5203	88	12	)	)	PUNCT
ejpam-5203	88	13	n,2(x	n,2(x	NOUN
ejpam-5203	88	14	)	)	PUNCT
ejpam-5203	88	15	=	=	SYM
ejpam-5203	88	16	gn(x	gn(x	NUM
ejpam-5203	88	17	)	)	PUNCT
ejpam-5203	88	18	.	.	PUNCT
ejpam-5203	89	1	kim	kim	PROPN
ejpam-5203	89	2	et	et	PROPN
ejpam-5203	89	3	.	.	PUNCT
ejpam-5203	90	1	al	al	PROPN
ejpam-5203	91	1	[	[	X
ejpam-5203	91	2	18	18	NUM
ejpam-5203	91	3	]	]	PUNCT
ejpam-5203	91	4	obtained	obtain	VERB
ejpam-5203	91	5	several	several	ADJ
ejpam-5203	91	6	properties	property	NOUN
ejpam-5203	91	7	of	of	ADP
ejpam-5203	91	8	these	these	DET
ejpam-5203	91	9	polynomials	polynomial	NOUN
ejpam-5203	91	10	.	.	PUNCT
ejpam-5203	92	1	on	on	ADP
ejpam-5203	92	2	the	the	DET
ejpam-5203	92	3	other	other	ADJ
ejpam-5203	92	4	hand	hand	NOUN
ejpam-5203	92	5	,	,	PUNCT
ejpam-5203	92	6	kurt	kurt	PROPN
ejpam-5203	92	7	[	[	X
ejpam-5203	92	8	20	20	NUM
ejpam-5203	92	9	]	]	PUNCT
ejpam-5203	92	10	defined	define	VERB
ejpam-5203	92	11	two	two	NUM
ejpam-5203	92	12	forms	form	NOUN
ejpam-5203	92	13	of	of	ADP
ejpam-5203	92	14	generalized	generalized	ADJ
ejpam-5203	92	15	poly	poly	ADJ
ejpam-5203	92	16	-	-	PUNCT
ejpam-5203	92	17	genocchi	genocchi	NOUN
ejpam-5203	92	18	polynomials	polynomial	NOUN
ejpam-5203	92	19	with	with	ADP
ejpam-5203	92	20	parameters	parameter	NOUN
ejpam-5203	92	21	a	a	DET
ejpam-5203	92	22	,	,	PUNCT
ejpam-5203	92	23	b	b	NOUN
ejpam-5203	92	24	,	,	PUNCT
ejpam-5203	92	25	and	and	CCONJ
ejpam-5203	92	26	c	c	X
ejpam-5203	92	27	,	,	PUNCT
ejpam-5203	92	28	as	as	SCONJ
ejpam-5203	92	29	follows	follow	VERB
ejpam-5203	92	30	2lik(1−	2lik(1−	NUM
ejpam-5203	92	31	(	(	PUNCT
ejpam-5203	92	32	ab)−t	ab)−t	PROPN
ejpam-5203	92	33	)	)	PUNCT
ejpam-5203	92	34	a−t	a−t	VERB
ejpam-5203	93	1	+	+	CCONJ
ejpam-5203	93	2	bt	bt	X
ejpam-5203	93	3	ext	ext	NOUN
ejpam-5203	93	4	=	=	PUNCT
ejpam-5203	93	5	∞∑	∞∑	NUM
ejpam-5203	93	6	n=0	n=0	NUM
ejpam-5203	93	7	g(k	g(k	NOUN
ejpam-5203	93	8	)	)	PUNCT
ejpam-5203	93	9	n	n	CCONJ
ejpam-5203	93	10	(	(	PUNCT
ejpam-5203	93	11	x	x	X
ejpam-5203	93	12	;	;	PUNCT
ejpam-5203	93	13	a	a	DET
ejpam-5203	93	14	,	,	PUNCT
ejpam-5203	93	15	b	b	NOUN
ejpam-5203	93	16	,	,	PUNCT
ejpam-5203	93	17	c	c	NOUN
ejpam-5203	93	18	)	)	PUNCT
ejpam-5203	93	19	tn	tn	PROPN
ejpam-5203	93	20	n	n	CCONJ
ejpam-5203	93	21	!	!	PUNCT
ejpam-5203	93	22	(	(	PUNCT
ejpam-5203	93	23	|t|	|t|	VERB
ejpam-5203	93	24	<	<	X
ejpam-5203	93	25	π	π	X
ejpam-5203	93	26	|	|	ADV
ejpam-5203	93	27	ln	ln	ADJ
ejpam-5203	93	28	a+	a+	PRON
ejpam-5203	93	29	ln	ln	ADJ
ejpam-5203	93	30	b|	b|	PROPN
ejpam-5203	93	31	)	)	PUNCT
ejpam-5203	93	32	(	(	PUNCT
ejpam-5203	93	33	10	10	NUM
ejpam-5203	93	34	)	)	PUNCT
ejpam-5203	93	35	2lik(1−	2lik(1−	NUM
ejpam-5203	93	36	(	(	PUNCT
ejpam-5203	93	37	ab)−2	ab)−2	NOUN
ejpam-5203	93	38	t	t	PROPN
ejpam-5203	93	39	)	)	PUNCT
ejpam-5203	93	40	a−t	a−t	PROPN
ejpam-5203	94	1	+	+	CCONJ
ejpam-5203	94	2	bt	bt	X
ejpam-5203	94	3	ext	ext	NOUN
ejpam-5203	94	4	=	=	PUNCT
ejpam-5203	94	5	∞∑	∞∑	NUM
ejpam-5203	94	6	n=0	n=0	NUM
ejpam-5203	94	7	g(k	g(k	NOUN
ejpam-5203	94	8	)	)	PUNCT
ejpam-5203	94	9	n,2(x	n,2(x	NOUN
ejpam-5203	94	10	;	;	PUNCT
ejpam-5203	94	11	a	a	DET
ejpam-5203	94	12	,	,	PUNCT
ejpam-5203	94	13	b	b	NOUN
ejpam-5203	94	14	,	,	PUNCT
ejpam-5203	94	15	c	c	NOUN
ejpam-5203	94	16	)	)	PUNCT
ejpam-5203	94	17	tn	tn	PROPN
ejpam-5203	94	18	n	n	CCONJ
ejpam-5203	94	19	!	!	PROPN
ejpam-5203	94	20	,	,	PUNCT
ejpam-5203	94	21	(	(	PUNCT
ejpam-5203	94	22	|t|	|t|	ADP
ejpam-5203	94	23	<	<	X
ejpam-5203	94	24	π	π	X
ejpam-5203	94	25	|	|	ADV
ejpam-5203	94	26	ln	ln	ADJ
ejpam-5203	94	27	a+	a+	PRON
ejpam-5203	94	28	ln	ln	ADJ
ejpam-5203	94	29	b|	b|	PROPN
ejpam-5203	94	30	)	)	PUNCT
ejpam-5203	94	31	(	(	PUNCT
ejpam-5203	94	32	11	11	NUM
ejpam-5203	94	33	)	)	PUNCT
ejpam-5203	94	34	m.	m.	NOUN
ejpam-5203	94	35	laurente	laurente	NOUN
ejpam-5203	94	36	,	,	PUNCT
ejpam-5203	94	37	az	az	PROPN
ejpam-5203	94	38	d.	d.	PROPN
ejpam-5203	94	39	ababa	ababa	PROPN
ejpam-5203	94	40	/	/	SYM
ejpam-5203	94	41	eur	eur	PROPN
ejpam-5203	94	42	.	.	PUNCT
ejpam-5203	95	1	j.	j.	PROPN
ejpam-5203	95	2	pure	pure	PROPN
ejpam-5203	95	3	appl	appl	PROPN
ejpam-5203	95	4	.	.	PROPN
ejpam-5203	95	5	math	math	PROPN
ejpam-5203	95	6	,	,	PUNCT
ejpam-5203	95	7	18	18	NUM
ejpam-5203	95	8	(	(	PUNCT
ejpam-5203	95	9	4	4	NUM
ejpam-5203	95	10	)	)	PUNCT
ejpam-5203	95	11	(	(	PUNCT
ejpam-5203	95	12	2025	2025	NUM
ejpam-5203	95	13	)	)	PUNCT
ejpam-5203	95	14	,	,	PUNCT
ejpam-5203	95	15	5203	5203	NUM
ejpam-5203	95	16	5	5	NUM
ejpam-5203	95	17	of	of	ADP
ejpam-5203	95	18	19	19	NUM
ejpam-5203	95	19	in	in	ADP
ejpam-5203	95	20	[	[	X
ejpam-5203	95	21	21	21	NUM
ejpam-5203	95	22	]	]	PUNCT
ejpam-5203	95	23	,	,	PUNCT
ejpam-5203	95	24	lim	lim	PROPN
ejpam-5203	95	25	defined	define	VERB
ejpam-5203	95	26	the	the	DET
ejpam-5203	95	27	degenerate	degenerate	ADJ
ejpam-5203	95	28	genocchi	genocchi	PROPN
ejpam-5203	95	29	polynomials	polynomial	VERB
ejpam-5203	95	30	g(r	g(r	PROPN
ejpam-5203	95	31	)	)	PUNCT
ejpam-5203	95	32	n	n	CCONJ
ejpam-5203	95	33	(	(	PUNCT
ejpam-5203	95	34	λ	λ	PROPN
ejpam-5203	95	35	,	,	PUNCT
ejpam-5203	95	36	x	x	NOUN
ejpam-5203	95	37	)	)	PUNCT
ejpam-5203	95	38	of	of	ADP
ejpam-5203	95	39	order	order	NOUN
ejpam-5203	95	40	r	r	NOUN
ejpam-5203	95	41	as	as	ADP
ejpam-5203	95	42	(	(	PUNCT
ejpam-5203	95	43	2	2	NUM
ejpam-5203	95	44	t	t	NOUN
ejpam-5203	95	45	(	(	PUNCT
ejpam-5203	95	46	1	1	NUM
ejpam-5203	95	47	+	+	CCONJ
ejpam-5203	96	1	λt)1	λt)1	PROPN
ejpam-5203	96	2	/	/	SYM
ejpam-5203	96	3	λ	λ	PROPN
ejpam-5203	96	4	)	)	PUNCT
ejpam-5203	96	5	r	r	NOUN
ejpam-5203	96	6	(	(	PUNCT
ejpam-5203	96	7	1	1	NUM
ejpam-5203	96	8	+	+	CCONJ
ejpam-5203	96	9	λt)x	λt)x	PROPN
ejpam-5203	96	10	/	/	SYM
ejpam-5203	96	11	λ	λ	NOUN
ejpam-5203	96	12	=	=	SYM
ejpam-5203	96	13	∞∑	∞∑	PROPN
ejpam-5203	96	14	n=0	n=0	PROPN
ejpam-5203	96	15	g(r	g(r	NOUN
ejpam-5203	96	16	)	)	PUNCT
ejpam-5203	96	17	n	n	PROPN
ejpam-5203	96	18	(	(	PUNCT
ejpam-5203	96	19	λ	λ	PROPN
ejpam-5203	96	20	,	,	PUNCT
ejpam-5203	96	21	x	x	NOUN
ejpam-5203	96	22	)	)	PUNCT
ejpam-5203	96	23	tn	tn	PROPN
ejpam-5203	96	24	n	n	PROPN
ejpam-5203	96	25	!	!	PUNCT
ejpam-5203	96	26	.	.	PUNCT
ejpam-5203	97	1	besides	besides	SCONJ
ejpam-5203	97	2	those	those	DET
ejpam-5203	97	3	generalizations	generalization	NOUN
ejpam-5203	97	4	,	,	PUNCT
ejpam-5203	97	5	araci	araci	NOUN
ejpam-5203	98	1	[	[	X
ejpam-5203	98	2	5	5	NUM
ejpam-5203	98	3	]	]	PUNCT
ejpam-5203	98	4	,	,	PUNCT
ejpam-5203	98	5	duran	duran	PROPN
ejpam-5203	98	6	et	et	PROPN
ejpam-5203	98	7	al	al	PROPN
ejpam-5203	98	8	.	.	PUNCT
ejpam-5203	99	1	[	[	X
ejpam-5203	99	2	22	22	NUM
ejpam-5203	99	3	]	]	PUNCT
ejpam-5203	99	4	and	and	CCONJ
ejpam-5203	99	5	agyuz	agyuz	VERB
ejpam-5203	99	6	et	et	PROPN
ejpam-5203	99	7	al	al	PROPN
ejpam-5203	99	8	.	.	PUNCT
ejpam-5203	100	1	[	[	X
ejpam-5203	100	2	23	23	NUM
ejpam-5203	100	3	]	]	PUNCT
ejpam-5203	100	4	also	also	ADV
ejpam-5203	100	5	introduced	introduce	VERB
ejpam-5203	100	6	the	the	DET
ejpam-5203	100	7	q	q	NOUN
ejpam-5203	100	8	-	-	PUNCT
ejpam-5203	100	9	analogue	analogue	NOUN
ejpam-5203	100	10	of	of	ADP
ejpam-5203	100	11	the	the	DET
ejpam-5203	100	12	genocchi	genocchi	PROPN
ejpam-5203	100	13	polynomials	polynomial	VERB
ejpam-5203	100	14	gn	gn	PROPN
ejpam-5203	100	15	,	,	PUNCT
ejpam-5203	100	16	q(x	q(x	PROPN
ejpam-5203	100	17	)	)	PUNCT
ejpam-5203	100	18	as	as	SCONJ
ejpam-5203	100	19	follows	follow	VERB
ejpam-5203	100	20	:	:	PUNCT
ejpam-5203	100	21	∞∑	∞∑	NUM
ejpam-5203	100	22	n=0	n=0	PROPN
ejpam-5203	100	23	gn	gn	PROPN
ejpam-5203	100	24	,	,	PUNCT
ejpam-5203	100	25	q(x	q(x	PROPN
ejpam-5203	100	26	)	)	PUNCT
ejpam-5203	100	27	tn	tn	PROPN
ejpam-5203	100	28	n	n	PROPN
ejpam-5203	100	29	!	!	PUNCT
ejpam-5203	101	1	=	=	NOUN
ejpam-5203	102	1	t	t	PROPN
ejpam-5203	102	2	∫	∫	PROPN
ejpam-5203	102	3	zp	zp	PROPN
ejpam-5203	102	4	q−yet[y+x]qdµ−q(y	q−yet[y+x]qdµ−q(y	PROPN
ejpam-5203	102	5	)	)	PUNCT
ejpam-5203	102	6	,	,	PUNCT
ejpam-5203	102	7	where	where	SCONJ
ejpam-5203	102	8	[	[	X
ejpam-5203	102	9	x]q	x]q	NOUN
ejpam-5203	102	10	=	=	SYM
ejpam-5203	102	11	1−	1−	NUM
ejpam-5203	102	12	qx	qx	INTJ
ejpam-5203	102	13	1−	1−	NUM
ejpam-5203	102	14	q	q	NOUN
ejpam-5203	102	15	,	,	PUNCT
ejpam-5203	102	16	[	[	X
ejpam-5203	102	17	x]−q	x]−q	X
ejpam-5203	102	18	=	=	SYM
ejpam-5203	102	19	1−	1−	NUM
ejpam-5203	102	20	(	(	PUNCT
ejpam-5203	102	21	−q)x	−q)x	VERB
ejpam-5203	102	22	1	1	NUM
ejpam-5203	102	23	+	+	CCONJ
ejpam-5203	102	24	q	q	NOUN
ejpam-5203	102	25	.	.	PUNCT
ejpam-5203	103	1	this	this	DET
ejpam-5203	103	2	definition	definition	NOUN
ejpam-5203	103	3	is	be	AUX
ejpam-5203	103	4	constructed	construct	VERB
ejpam-5203	103	5	by	by	ADP
ejpam-5203	103	6	p	p	NOUN
ejpam-5203	103	7	-	-	PUNCT
ejpam-5203	103	8	adic	adic	ADJ
ejpam-5203	103	9	fermionic	fermionic	NOUN
ejpam-5203	103	10	q	q	NOUN
ejpam-5203	103	11	-	-	PUNCT
ejpam-5203	103	12	integral	integral	ADJ
ejpam-5203	103	13	on	on	ADP
ejpam-5203	103	14	zp	zp	PROPN
ejpam-5203	103	15	with	with	ADP
ejpam-5203	103	16	respect	respect	NOUN
ejpam-5203	103	17	to	to	ADP
ejpam-5203	103	18	µ−q	µ−q	NOUN
ejpam-5203	103	19	.	.	PUNCT
ejpam-5203	104	1	it	it	PRON
ejpam-5203	104	2	can	can	AUX
ejpam-5203	104	3	also	also	ADV
ejpam-5203	104	4	be	be	AUX
ejpam-5203	104	5	defined	define	VERB
ejpam-5203	104	6	by	by	ADP
ejpam-5203	104	7	∞∑	∞∑	NUM
ejpam-5203	104	8	n=0	n=0	PROPN
ejpam-5203	104	9	gn	gn	PROPN
ejpam-5203	104	10	,	,	PUNCT
ejpam-5203	104	11	q(x	q(x	PROPN
ejpam-5203	104	12	)	)	PUNCT
ejpam-5203	104	13	tn	tn	PROPN
ejpam-5203	104	14	n	n	PROPN
ejpam-5203	104	15	!	!	PUNCT
ejpam-5203	105	1	=	=	PUNCT
ejpam-5203	106	1	[	[	X
ejpam-5203	106	2	2]qt	2]qt	NUM
ejpam-5203	106	3	∞∑	∞∑	NUM
ejpam-5203	106	4	m=0	m=0	PROPN
ejpam-5203	106	5	(	(	PUNCT
ejpam-5203	106	6	−1)met[m+x]q	−1)met[m+x]q	PROPN
ejpam-5203	106	7	,	,	PUNCT
ejpam-5203	106	8	which	which	PRON
ejpam-5203	106	9	becomes	become	VERB
ejpam-5203	106	10	gn	gn	PROPN
ejpam-5203	106	11	,	,	PUNCT
ejpam-5203	106	12	q(0	q(0	PROPN
ejpam-5203	106	13	)	)	PUNCT
ejpam-5203	106	14	:	:	PUNCT
ejpam-5203	106	15	=	=	SYM
ejpam-5203	106	16	gn	gn	PROPN
ejpam-5203	106	17	,	,	PUNCT
ejpam-5203	106	18	q	q	X
ejpam-5203	106	19	when	when	SCONJ
ejpam-5203	106	20	x	x	X
ejpam-5203	106	21	=	=	SYM
ejpam-5203	106	22	0	0	NUM
ejpam-5203	106	23	,	,	PUNCT
ejpam-5203	106	24	and	and	CCONJ
ejpam-5203	106	25	referred	refer	VERB
ejpam-5203	106	26	to	to	ADP
ejpam-5203	106	27	as	as	ADP
ejpam-5203	106	28	the	the	DET
ejpam-5203	106	29	nth	nth	NOUN
ejpam-5203	106	30	q	q	ADJ
ejpam-5203	106	31	-	-	ADJ
ejpam-5203	106	32	genocchi	genocchi	ADJ
ejpam-5203	106	33	number	number	NOUN
ejpam-5203	106	34	.	.	PUNCT
ejpam-5203	107	1	also	also	ADV
ejpam-5203	107	2	,	,	PUNCT
ejpam-5203	107	3	corcino	corcino	PROPN
ejpam-5203	107	4	c.b	c.b	PROPN
ejpam-5203	107	5	.	.	PROPN
ejpam-5203	108	1	and	and	CCONJ
ejpam-5203	108	2	corcino	corcino	PROPN
ejpam-5203	108	3	r.b	r.b	PROPN
ejpam-5203	108	4	[	[	X
ejpam-5203	108	5	24]study	24]study	NUM
ejpam-5203	108	6	regarding	regard	VERB
ejpam-5203	108	7	higher	high	ADJ
ejpam-5203	108	8	order	order	NOUN
ejpam-5203	108	9	apostol	apostol	NOUN
ejpam-5203	108	10	-	-	PUNCT
ejpam-5203	108	11	type	type	NOUN
ejpam-5203	108	12	poly	poly	ADJ
ejpam-5203	108	13	-	-	PUNCT
ejpam-5203	108	14	genocchi	genocchi	NOUN
ejpam-5203	108	15	polynomials	polynomial	NOUN
ejpam-5203	108	16	with	with	ADP
ejpam-5203	108	17	parameters	parameter	NOUN
ejpam-5203	108	18	a	a	PRON
ejpam-5203	108	19	,	,	PUNCT
ejpam-5203	108	20	b	b	PROPN
ejpam-5203	108	21	and	and	CCONJ
ejpam-5203	108	22	c	c	X
ejpam-5203	108	23	,	,	PUNCT
ejpam-5203	108	24	they	they	PRON
ejpam-5203	108	25	define	define	VERB
ejpam-5203	108	26	this	this	PRON
ejpam-5203	108	27	by	by	ADP
ejpam-5203	108	28	∞∑	∞∑	PRON
ejpam-5203	108	29	n=0	n=0	PUNCT
ejpam-5203	108	30	g(k	g(k	NOUN
ejpam-5203	108	31	,	,	PUNCT
ejpam-5203	108	32	α	α	NOUN
ejpam-5203	108	33	)	)	PUNCT
ejpam-5203	108	34	n	n	PROPN
ejpam-5203	108	35	(	(	PUNCT
ejpam-5203	108	36	x	x	X
ejpam-5203	108	37	)	)	PUNCT
ejpam-5203	108	38	tn	tn	PROPN
ejpam-5203	108	39	n	n	NOUN
ejpam-5203	108	40	!	!	PUNCT
ejpam-5203	109	1	=	=	PUNCT
ejpam-5203	109	2	(	(	PUNCT
ejpam-5203	109	3	lik(1−	lik(1−	X
ejpam-5203	109	4	(	(	PUNCT
ejpam-5203	109	5	ab)−2	ab)−2	NOUN
ejpam-5203	109	6	t	t	PROPN
ejpam-5203	109	7	)	)	PUNCT
ejpam-5203	109	8	a−t	a−t	PROPN
ejpam-5203	110	1	+	+	CCONJ
ejpam-5203	110	2	bt	bt	PROPN
ejpam-5203	110	3	ext	ext	NOUN
ejpam-5203	110	4	)	)	PUNCT
ejpam-5203	110	5	α	α	PROPN
ejpam-5203	110	6	,	,	PUNCT
ejpam-5203	110	7	|t|	|t|	VERB
ejpam-5203	110	8	<	<	X
ejpam-5203	110	9	√	√	X
ejpam-5203	110	10	(	(	PUNCT
ejpam-5203	110	11	lnλ)2	lnλ)2	ADJ
ejpam-5203	110	12	+	+	CCONJ
ejpam-5203	110	13	π2	π2	ADJ
ejpam-5203	110	14	|lna+	|lna+	ADJ
ejpam-5203	110	15	lnb|	lnb|	NOUN
ejpam-5203	110	16	,	,	PUNCT
ejpam-5203	110	17	they	they	PRON
ejpam-5203	110	18	also	also	ADV
ejpam-5203	110	19	study	study	VERB
ejpam-5203	110	20	the	the	DET
ejpam-5203	110	21	other	other	ADJ
ejpam-5203	110	22	variation	variation	NOUN
ejpam-5203	110	23	[	[	X
ejpam-5203	110	24	25	25	NUM
ejpam-5203	110	25	]	]	PUNCT
ejpam-5203	110	26	,	,	PUNCT
ejpam-5203	110	27	which	which	PRON
ejpam-5203	110	28	the	the	DET
ejpam-5203	110	29	concept	concept	NOUN
ejpam-5203	110	30	is	be	AUX
ejpam-5203	110	31	from	from	ADP
ejpam-5203	110	32	modified	modify	VERB
ejpam-5203	110	33	degenerate	degenerate	ADJ
ejpam-5203	110	34	polylexponential	polylexponential	ADJ
ejpam-5203	110	35	function	function	NOUN
ejpam-5203	110	36	.	.	PUNCT
ejpam-5203	111	1	3	3	X
ejpam-5203	111	2	.	.	X
ejpam-5203	111	3	close	close	ADJ
ejpam-5203	111	4	relation	relation	NOUN
ejpam-5203	111	5	of	of	ADP
ejpam-5203	111	6	bernoulli	bernoulli	PROPN
ejpam-5203	111	7	polynomial	polynomial	ADJ
ejpam-5203	111	8	and	and	CCONJ
ejpam-5203	111	9	euler	euler	NOUN
ejpam-5203	111	10	polynomial	polynomial	PROPN
ejpam-5203	111	11	to	to	PART
ejpam-5203	111	12	genocchi	genocchi	PROPN
ejpam-5203	111	13	polynomial	polynomial	VERB
ejpam-5203	111	14	a	a	DET
ejpam-5203	111	15	generalization	generalization	NOUN
ejpam-5203	111	16	of	of	ADP
ejpam-5203	111	17	bernoulli	bernoulli	NOUN
ejpam-5203	111	18	polynomials	polynomial	NOUN
ejpam-5203	111	19	introduced	introduce	VERB
ejpam-5203	111	20	by	by	ADP
ejpam-5203	111	21	kaneko	kaneko	PROPN
ejpam-5203	111	22	[	[	X
ejpam-5203	111	23	26	26	NUM
ejpam-5203	111	24	]	]	PUNCT
ejpam-5203	111	25	is	be	AUX
ejpam-5203	111	26	defined	define	VERB
ejpam-5203	111	27	in	in	ADP
ejpam-5203	111	28	terms	term	NOUN
ejpam-5203	111	29	of	of	ADP
ejpam-5203	111	30	the	the	DET
ejpam-5203	111	31	following	follow	VERB
ejpam-5203	111	32	kth	kth	PROPN
ejpam-5203	111	33	polylogarithm	polylogarithm	PROPN
ejpam-5203	111	34	lik(z	lik(z	PROPN
ejpam-5203	111	35	):	):	PUNCT
ejpam-5203	111	36	lik(z	lik(z	PROPN
ejpam-5203	111	37	)	)	PUNCT
ejpam-5203	111	38	=	=	PUNCT
ejpam-5203	112	1	∞∑	∞∑	NUM
ejpam-5203	112	2	n=1	n=1	PROPN
ejpam-5203	112	3	zn	zn	PROPN
ejpam-5203	112	4	nk	nk	PROPN
ejpam-5203	112	5	,	,	PUNCT
ejpam-5203	112	6	(	(	PUNCT
ejpam-5203	112	7	|z|	|z|	NOUN
ejpam-5203	112	8	<	<	X
ejpam-5203	112	9	1	1	NUM
ejpam-5203	112	10	)	)	PUNCT
ejpam-5203	112	11	(	(	PUNCT
ejpam-5203	112	12	12	12	NUM
ejpam-5203	112	13	)	)	PUNCT
ejpam-5203	112	14	where	where	SCONJ
ejpam-5203	112	15	k	k	PROPN
ejpam-5203	112	16	∈	∈	PROPN
ejpam-5203	112	17	z.	z.	PROPN
ejpam-5203	113	1	when	when	SCONJ
ejpam-5203	113	2	z	z	NOUN
ejpam-5203	113	3	=	=	SYM
ejpam-5203	113	4	1	1	NUM
ejpam-5203	113	5	,	,	PUNCT
ejpam-5203	113	6	the	the	DET
ejpam-5203	113	7	kth	kth	PROPN
ejpam-5203	113	8	polylogarithm	polylogarithm	PROPN
ejpam-5203	113	9	gives	give	VERB
ejpam-5203	113	10	the	the	DET
ejpam-5203	113	11	riemann	riemann	PROPN
ejpam-5203	113	12	zeta	zeta	PROPN
ejpam-5203	113	13	function	function	PROPN
ejpam-5203	113	14	.	.	PUNCT
ejpam-5203	114	1	that	that	PRON
ejpam-5203	114	2	is	be	AUX
ejpam-5203	114	3	,	,	PUNCT
ejpam-5203	114	4	lik(1	lik(1	NOUN
ejpam-5203	114	5	)	)	PUNCT
ejpam-5203	115	1	=	=	SYM
ejpam-5203	115	2	ζ(k	ζ(k	PROPN
ejpam-5203	115	3	)	)	PUNCT
ejpam-5203	116	1	=	=	PUNCT
ejpam-5203	117	1	∞∑	∞∑	NUM
ejpam-5203	117	2	n=1	n=1	PROPN
ejpam-5203	117	3	1	1	NUM
ejpam-5203	117	4	nk	nk	PROPN
ejpam-5203	117	5	.	.	PUNCT
ejpam-5203	118	1	m.	m.	PROPN
ejpam-5203	118	2	laurente	laurente	PROPN
ejpam-5203	118	3	,	,	PUNCT
ejpam-5203	118	4	az	az	PROPN
ejpam-5203	118	5	d.	d.	PROPN
ejpam-5203	118	6	ababa	ababa	PROPN
ejpam-5203	118	7	/	/	SYM
ejpam-5203	118	8	eur	eur	PROPN
ejpam-5203	118	9	.	.	PUNCT
ejpam-5203	119	1	j.	j.	PROPN
ejpam-5203	119	2	pure	pure	PROPN
ejpam-5203	119	3	appl	appl	PROPN
ejpam-5203	119	4	.	.	PROPN
ejpam-5203	119	5	math	math	PROPN
ejpam-5203	119	6	,	,	PUNCT
ejpam-5203	119	7	18	18	NUM
ejpam-5203	119	8	(	(	PUNCT
ejpam-5203	119	9	4	4	NUM
ejpam-5203	119	10	)	)	PUNCT
ejpam-5203	119	11	(	(	PUNCT
ejpam-5203	119	12	2025	2025	NUM
ejpam-5203	119	13	)	)	PUNCT
ejpam-5203	119	14	,	,	PUNCT
ejpam-5203	119	15	5203	5203	NUM
ejpam-5203	119	16	6	6	NUM
ejpam-5203	119	17	of	of	ADP
ejpam-5203	119	18	19	19	NUM
ejpam-5203	119	19	also	also	ADV
ejpam-5203	119	20	,	,	PUNCT
ejpam-5203	119	21	when	when	SCONJ
ejpam-5203	119	22	k	k	PROPN
ejpam-5203	119	23	=	=	SYM
ejpam-5203	119	24	1	1	NUM
ejpam-5203	119	25	,	,	PUNCT
ejpam-5203	119	26	the	the	DET
ejpam-5203	119	27	1st	1st	ADJ
ejpam-5203	119	28	polylogarithm	polylogarithm	PROPN
ejpam-5203	119	29	yields	yield	VERB
ejpam-5203	119	30	the	the	DET
ejpam-5203	119	31	natural	natural	ADJ
ejpam-5203	119	32	logarithmic	logarithmic	ADJ
ejpam-5203	119	33	function	function	NOUN
ejpam-5203	119	34	as	as	SCONJ
ejpam-5203	119	35	follows	follow	VERB
ejpam-5203	119	36	:	:	PUNCT
ejpam-5203	119	37	li1(z	li1(z	PROPN
ejpam-5203	119	38	)	)	PUNCT
ejpam-5203	119	39	=	=	PUNCT
ejpam-5203	120	1	−	−	PROPN
ejpam-5203	120	2	ln(1−	ln(1−	PROPN
ejpam-5203	120	3	z	z	PROPN
ejpam-5203	120	4	)	)	PUNCT
ejpam-5203	120	5	.	.	PUNCT
ejpam-5203	121	1	this	this	DET
ejpam-5203	121	2	special	special	ADJ
ejpam-5203	121	3	case	case	NOUN
ejpam-5203	121	4	of	of	ADP
ejpam-5203	121	5	the	the	DET
ejpam-5203	121	6	polylogarithm	polylogarithm	PROPN
ejpam-5203	121	7	motivates	motivate	VERB
ejpam-5203	121	8	the	the	DET
ejpam-5203	121	9	construction	construction	NOUN
ejpam-5203	121	10	of	of	ADP
ejpam-5203	121	11	polybernoulli	polybernoulli	ADJ
ejpam-5203	121	12	numbers	number	NOUN
ejpam-5203	121	13	in	in	ADP
ejpam-5203	121	14	the	the	DET
ejpam-5203	121	15	sense	sense	NOUN
ejpam-5203	121	16	that	that	SCONJ
ejpam-5203	121	17	li1(1−	li1(1−	ADP
ejpam-5203	121	18	e−x	e−x	NOUN
ejpam-5203	121	19	)	)	PUNCT
ejpam-5203	121	20	=	=	PUNCT
ejpam-5203	121	21	x.	x.	NOUN
ejpam-5203	122	1	the	the	DET
ejpam-5203	122	2	poly	poly	ADJ
ejpam-5203	122	3	-	-	PUNCT
ejpam-5203	122	4	bernoulli	bernoulli	NOUN
ejpam-5203	122	5	polynomials	polynomial	NOUN
ejpam-5203	122	6	and	and	CCONJ
ejpam-5203	122	7	numbers	number	NOUN
ejpam-5203	122	8	were	be	AUX
ejpam-5203	122	9	defined	define	VERB
ejpam-5203	122	10	in	in	ADP
ejpam-5203	122	11	[	[	X
ejpam-5203	122	12	19	19	NUM
ejpam-5203	122	13	]	]	PUNCT
ejpam-5203	122	14	by	by	ADP
ejpam-5203	122	15	means	mean	NOUN
ejpam-5203	122	16	of	of	ADP
ejpam-5203	122	17	the	the	DET
ejpam-5203	122	18	following	follow	VERB
ejpam-5203	122	19	generating	generating	NOUN
ejpam-5203	122	20	functions	function	NOUN
ejpam-5203	122	21	,	,	PUNCT
ejpam-5203	122	22	respectively	respectively	ADV
ejpam-5203	122	23	:	:	PUNCT
ejpam-5203	122	24	lik(1−	lik(1−	NOUN
ejpam-5203	122	25	e−t	e−t	NOUN
ejpam-5203	122	26	)	)	PUNCT
ejpam-5203	122	27	et	et	NOUN
ejpam-5203	122	28	−	−	NOUN
ejpam-5203	122	29	1	1	NUM
ejpam-5203	122	30	ext	ext	NOUN
ejpam-5203	122	31	=	=	NOUN
ejpam-5203	122	32	∞∑	∞∑	NUM
ejpam-5203	122	33	n=0	n=0	NUM
ejpam-5203	122	34	b(k	b(k	PROPN
ejpam-5203	122	35	)	)	PUNCT
ejpam-5203	122	36	n	n	CCONJ
ejpam-5203	122	37	(	(	PUNCT
ejpam-5203	122	38	x	x	X
ejpam-5203	122	39	)	)	PUNCT
ejpam-5203	122	40	tn	tn	PROPN
ejpam-5203	122	41	n	n	PROPN
ejpam-5203	122	42	!	!	PUNCT
ejpam-5203	123	1	(	(	PUNCT
ejpam-5203	123	2	|t|	|t|	ADP
ejpam-5203	123	3	<	<	X
ejpam-5203	123	4	2π	2π	NOUN
ejpam-5203	123	5	)	)	PUNCT
ejpam-5203	123	6	(	(	PUNCT
ejpam-5203	123	7	13	13	X
ejpam-5203	123	8	)	)	PUNCT
ejpam-5203	123	9	lik(1−	lik(1−	NOUN
ejpam-5203	123	10	e−t	e−t	NOUN
ejpam-5203	123	11	)	)	PUNCT
ejpam-5203	123	12	et	et	NOUN
ejpam-5203	123	13	−	−	NOUN
ejpam-5203	123	14	1	1	NUM
ejpam-5203	123	15	=	=	PUNCT
ejpam-5203	123	16	∞∑	∞∑	NUM
ejpam-5203	123	17	n=0	n=0	NUM
ejpam-5203	123	18	b(k	b(k	PROPN
ejpam-5203	123	19	)	)	PUNCT
ejpam-5203	123	20	n	n	PROPN
ejpam-5203	123	21	tn	tn	NOUN
ejpam-5203	123	22	n	n	CCONJ
ejpam-5203	123	23	!	!	PROPN
ejpam-5203	123	24	,	,	PUNCT
ejpam-5203	123	25	(	(	PUNCT
ejpam-5203	123	26	|t|	|t|	ADP
ejpam-5203	123	27	<	<	X
ejpam-5203	123	28	2π	2π	NOUN
ejpam-5203	123	29	)	)	PUNCT
ejpam-5203	123	30	(	(	PUNCT
ejpam-5203	123	31	14	14	NUM
ejpam-5203	123	32	)	)	PUNCT
ejpam-5203	123	33	if	if	SCONJ
ejpam-5203	123	34	k	k	PROPN
ejpam-5203	123	35	=	=	SYM
ejpam-5203	123	36	1	1	NUM
ejpam-5203	123	37	,	,	PUNCT
ejpam-5203	123	38	from	from	ADP
ejpam-5203	123	39	equations	equation	NOUN
ejpam-5203	123	40	(	(	PUNCT
ejpam-5203	123	41	13	13	NUM
ejpam-5203	123	42	)	)	PUNCT
ejpam-5203	123	43	and	and	CCONJ
ejpam-5203	123	44	(	(	PUNCT
ejpam-5203	123	45	14	14	NUM
ejpam-5203	123	46	)	)	PUNCT
ejpam-5203	123	47	,	,	PUNCT
ejpam-5203	123	48	respectively	respectively	ADV
ejpam-5203	123	49	,	,	PUNCT
ejpam-5203	123	50	we	we	PRON
ejpam-5203	123	51	have	have	VERB
ejpam-5203	123	52	b(1	b(1	PROPN
ejpam-5203	123	53	)	)	PUNCT
ejpam-5203	124	1	n	n	CCONJ
ejpam-5203	124	2	(	(	PUNCT
ejpam-5203	124	3	x	x	X
ejpam-5203	124	4	)	)	PUNCT
ejpam-5203	124	5	=	=	SYM
ejpam-5203	124	6	bn(x	bn(x	NOUN
ejpam-5203	124	7	)	)	PUNCT
ejpam-5203	124	8	,	,	PUNCT
ejpam-5203	124	9	b	b	X
ejpam-5203	124	10	(	(	PUNCT
ejpam-5203	124	11	1	1	NUM
ejpam-5203	124	12	)	)	PUNCT
ejpam-5203	124	13	n	n	NOUN
ejpam-5203	124	14	=	=	SYM
ejpam-5203	124	15	bn	bn	PROPN
ejpam-5203	124	16	.	.	PUNCT
ejpam-5203	125	1	(	(	PUNCT
ejpam-5203	125	2	15	15	NUM
ejpam-5203	125	3	)	)	PUNCT
ejpam-5203	125	4	we	we	PRON
ejpam-5203	125	5	present	present	VERB
ejpam-5203	125	6	again	again	ADV
ejpam-5203	125	7	equation	equation	NOUN
ejpam-5203	125	8	(	(	PUNCT
ejpam-5203	125	9	8)	8)	NUM
ejpam-5203	125	10	,	,	PUNCT
ejpam-5203	125	11	since	since	SCONJ
ejpam-5203	125	12	this	this	DET
ejpam-5203	125	13	a	a	DET
ejpam-5203	125	14	poly	poly	ADJ
ejpam-5203	125	15	-	-	PUNCT
ejpam-5203	125	16	genoccchi	genoccchi	NOUN
ejpam-5203	125	17	polynomials	polynomial	NOUN
ejpam-5203	125	18	and	and	CCONJ
ejpam-5203	125	19	this	this	DET
ejpam-5203	125	20	work	work	NOUN
ejpam-5203	125	21	of	of	ADP
ejpam-5203	125	22	kim	kim	PROPN
ejpam-5203	125	23	et	et	PROPN
ejpam-5203	125	24	al	al	PROPN
ejpam-5203	125	25	.	.	PUNCT
ejpam-5203	126	1	[	[	X
ejpam-5203	126	2	19	19	NUM
ejpam-5203	126	3	]	]	SYM
ejpam-5203	126	4	defined	define	VERB
ejpam-5203	126	5	poly	poly	ADJ
ejpam-5203	126	6	-	-	PUNCT
ejpam-5203	126	7	genocchi	genocchi	NOUN
ejpam-5203	126	8	polynomials	polynomials	NOUN
ejpam-5203	126	9	g(k	g(k	VERB
ejpam-5203	126	10	)	)	PUNCT
ejpam-5203	126	11	n	n	CCONJ
ejpam-5203	126	12	(	(	PUNCT
ejpam-5203	126	13	x	x	X
ejpam-5203	126	14	)	)	PUNCT
ejpam-5203	126	15	as	as	SCONJ
ejpam-5203	126	16	follows	follow	VERB
ejpam-5203	126	17	2lik(1−	2lik(1−	NUM
ejpam-5203	126	18	e−t	e−t	NOUN
ejpam-5203	126	19	)	)	PUNCT
ejpam-5203	126	20	et	et	NOUN
ejpam-5203	127	1	+	+	NOUN
ejpam-5203	127	2	1	1	NUM
ejpam-5203	127	3	ext	ext	NOUN
ejpam-5203	127	4	=	=	NOUN
ejpam-5203	127	5	∞∑	∞∑	PRON
ejpam-5203	127	6	n=0	n=0	NUM
ejpam-5203	127	7	g(k	g(k	NOUN
ejpam-5203	127	8	)	)	PUNCT
ejpam-5203	127	9	n	n	CCONJ
ejpam-5203	127	10	(	(	PUNCT
ejpam-5203	127	11	x	x	X
ejpam-5203	127	12	)	)	PUNCT
ejpam-5203	127	13	tn	tn	PROPN
ejpam-5203	127	14	n	n	CCONJ
ejpam-5203	127	15	!	!	PROPN
ejpam-5203	127	16	,	,	PUNCT
ejpam-5203	127	17	(	(	PUNCT
ejpam-5203	127	18	|t|	|t|	ADP
ejpam-5203	127	19	<	<	X
ejpam-5203	127	20	π	π	PROPN
ejpam-5203	127	21	)	)	PUNCT
ejpam-5203	127	22	.	.	PUNCT
ejpam-5203	128	1	note	note	VERB
ejpam-5203	128	2	that	that	SCONJ
ejpam-5203	128	3	when	when	SCONJ
ejpam-5203	128	4	x	x	X
ejpam-5203	128	5	=	=	SYM
ejpam-5203	128	6	0	0	NUM
ejpam-5203	128	7	,	,	PUNCT
ejpam-5203	128	8	(	(	PUNCT
ejpam-5203	128	9	8)	8)	NUM
ejpam-5203	128	10	reduces	reduce	VERB
ejpam-5203	128	11	to	to	ADP
ejpam-5203	128	12	2lik(1−	2lik(1−	NUM
ejpam-5203	128	13	e−t	e−t	NOUN
ejpam-5203	128	14	)	)	PUNCT
ejpam-5203	128	15	et	et	NOUN
ejpam-5203	129	1	+	+	NOUN
ejpam-5203	129	2	1	1	X
ejpam-5203	129	3	=	=	VERB
ejpam-5203	129	4	∞∑	∞∑	PRON
ejpam-5203	129	5	n=0	n=0	NUM
ejpam-5203	129	6	g(k	g(k	NOUN
ejpam-5203	129	7	)	)	PUNCT
ejpam-5203	129	8	n	n	PROPN
ejpam-5203	129	9	tn	tn	NOUN
ejpam-5203	129	10	n	n	CCONJ
ejpam-5203	129	11	!	!	PROPN
ejpam-5203	129	12	,	,	PUNCT
ejpam-5203	129	13	(	(	PUNCT
ejpam-5203	129	14	|t|	|t|	ADP
ejpam-5203	129	15	<	<	X
ejpam-5203	129	16	π	π	PROPN
ejpam-5203	129	17	)	)	PUNCT
ejpam-5203	129	18	.	.	PUNCT
ejpam-5203	130	1	(	(	PUNCT
ejpam-5203	130	2	16	16	NUM
ejpam-5203	130	3	)	)	PUNCT
ejpam-5203	130	4	where	where	SCONJ
ejpam-5203	130	5	g(k	g(k	NOUN
ejpam-5203	130	6	)	)	PUNCT
ejpam-5203	130	7	n	n	CCONJ
ejpam-5203	130	8	are	be	AUX
ejpam-5203	130	9	called	call	VERB
ejpam-5203	130	10	the	the	DET
ejpam-5203	130	11	poly	poly	ADJ
ejpam-5203	130	12	-	-	PUNCT
ejpam-5203	130	13	genocchi	genocchi	NOUN
ejpam-5203	130	14	numbers	number	NOUN
ejpam-5203	130	15	.	.	PUNCT
ejpam-5203	131	1	note	note	VERB
ejpam-5203	131	2	also	also	ADV
ejpam-5203	131	3	that	that	SCONJ
ejpam-5203	131	4	when	when	SCONJ
ejpam-5203	131	5	k	k	PROPN
ejpam-5203	131	6	=	=	SYM
ejpam-5203	131	7	1	1	NUM
ejpam-5203	131	8	,	,	PUNCT
ejpam-5203	131	9	equation	equation	NOUN
ejpam-5203	131	10	(	(	PUNCT
ejpam-5203	131	11	8)	8)	NUM
ejpam-5203	131	12	gives	give	VERB
ejpam-5203	131	13	the	the	DET
ejpam-5203	131	14	genocchi	genocchi	NOUN
ejpam-5203	131	15	polynomials	polynomial	VERB
ejpam-5203	131	16	∞∑	∞∑	PRON
ejpam-5203	131	17	n=0	n=0	ADJ
ejpam-5203	131	18	g(1	g(1	NOUN
ejpam-5203	131	19	)	)	PUNCT
ejpam-5203	131	20	n	n	CCONJ
ejpam-5203	131	21	(	(	PUNCT
ejpam-5203	131	22	x	x	X
ejpam-5203	131	23	)	)	PUNCT
ejpam-5203	131	24	tn	tn	PROPN
ejpam-5203	131	25	n	n	NOUN
ejpam-5203	131	26	!	!	PUNCT
ejpam-5203	132	1	=	=	PUNCT
ejpam-5203	133	1	2li1(1−	2li1(1−	NUM
ejpam-5203	133	2	e−t	e−t	NOUN
ejpam-5203	133	3	)	)	PUNCT
ejpam-5203	133	4	et	et	NOUN
ejpam-5203	134	1	+	+	NOUN
ejpam-5203	134	2	1	1	NUM
ejpam-5203	134	3	ext	ext	NOUN
ejpam-5203	134	4	=	=	SYM
ejpam-5203	134	5	2	2	NUM
ejpam-5203	134	6	t	t	NOUN
ejpam-5203	134	7	et	et	NOUN
ejpam-5203	134	8	+	+	NOUN
ejpam-5203	134	9	1	1	NUM
ejpam-5203	134	10	ext	ext	NOUN
ejpam-5203	134	11	=	=	NOUN
ejpam-5203	134	12	∞∑	∞∑	NUM
ejpam-5203	134	13	n=0	n=0	NUM
ejpam-5203	134	14	gn(x	gn(x	NOUN
ejpam-5203	134	15	)	)	PUNCT
ejpam-5203	134	16	tn	tn	NOUN
ejpam-5203	134	17	n	n	NUM
ejpam-5203	134	18	!	!	PUNCT
ejpam-5203	134	19	.	.	PUNCT
ejpam-5203	135	1	m.	m.	NOUN
ejpam-5203	135	2	laurente	laurente	PROPN
ejpam-5203	135	3	,	,	PUNCT
ejpam-5203	135	4	az	az	PROPN
ejpam-5203	135	5	d.	d.	PROPN
ejpam-5203	135	6	ababa	ababa	PROPN
ejpam-5203	135	7	/	/	SYM
ejpam-5203	135	8	eur	eur	PROPN
ejpam-5203	135	9	.	.	PUNCT
ejpam-5203	136	1	j.	j.	PROPN
ejpam-5203	136	2	pure	pure	PROPN
ejpam-5203	136	3	appl	appl	PROPN
ejpam-5203	136	4	.	.	PROPN
ejpam-5203	136	5	math	math	PROPN
ejpam-5203	136	6	,	,	PUNCT
ejpam-5203	136	7	18	18	NUM
ejpam-5203	136	8	(	(	PUNCT
ejpam-5203	136	9	4	4	NUM
ejpam-5203	136	10	)	)	PUNCT
ejpam-5203	136	11	(	(	PUNCT
ejpam-5203	136	12	2025	2025	NUM
ejpam-5203	136	13	)	)	PUNCT
ejpam-5203	136	14	,	,	PUNCT
ejpam-5203	136	15	5203	5203	NUM
ejpam-5203	136	16	7	7	NUM
ejpam-5203	136	17	of	of	ADP
ejpam-5203	136	18	19	19	NUM
ejpam-5203	136	19	moreover	moreover	ADV
ejpam-5203	137	1	,	,	PUNCT
ejpam-5203	137	2	they	they	PRON
ejpam-5203	137	3	defined	define	VERB
ejpam-5203	137	4	a	a	DET
ejpam-5203	137	5	modified	modify	VERB
ejpam-5203	137	6	poly	poly	ADJ
ejpam-5203	137	7	-	-	PUNCT
ejpam-5203	137	8	genocchi	genocchi	NOUN
ejpam-5203	137	9	polynomials	polynomial	NOUN
ejpam-5203	137	10	,	,	PUNCT
ejpam-5203	137	11	denoted	denote	VERB
ejpam-5203	137	12	by	by	ADP
ejpam-5203	137	13	g(k	g(k	NOUN
ejpam-5203	137	14	)	)	PUNCT
ejpam-5203	137	15	n,2(x	n,2(x	NOUN
ejpam-5203	137	16	)	)	PUNCT
ejpam-5203	137	17	,	,	PUNCT
ejpam-5203	137	18	as	as	SCONJ
ejpam-5203	137	19	follows	follow	VERB
ejpam-5203	137	20	:	:	PUNCT
ejpam-5203	137	21	lik(1−	lik(1−	PROPN
ejpam-5203	137	22	e−2	e−2	PROPN
ejpam-5203	137	23	t	t	PROPN
ejpam-5203	137	24	)	)	PUNCT
ejpam-5203	137	25	et	et	NOUN
ejpam-5203	137	26	+	+	NOUN
ejpam-5203	137	27	1	1	NUM
ejpam-5203	137	28	ext	ext	NOUN
ejpam-5203	137	29	=	=	NOUN
ejpam-5203	137	30	∞∑	∞∑	PRON
ejpam-5203	137	31	n=0	n=0	NUM
ejpam-5203	137	32	g(k	g(k	NOUN
ejpam-5203	137	33	)	)	PUNCT
ejpam-5203	137	34	n,2(x	n,2(x	NOUN
ejpam-5203	137	35	)	)	PUNCT
ejpam-5203	137	36	tn	tn	PROPN
ejpam-5203	137	37	n	n	PROPN
ejpam-5203	137	38	!	!	PUNCT
ejpam-5203	137	39	.	.	PUNCT
ejpam-5203	138	1	(	(	PUNCT
ejpam-5203	138	2	17	17	NUM
ejpam-5203	138	3	)	)	PUNCT
ejpam-5203	138	4	equation	equation	NOUN
ejpam-5203	138	5	(	(	PUNCT
ejpam-5203	138	6	17	17	NUM
ejpam-5203	138	7	)	)	PUNCT
ejpam-5203	138	8	also	also	ADV
ejpam-5203	138	9	gives	give	VERB
ejpam-5203	138	10	the	the	DET
ejpam-5203	138	11	genocchi	genocchi	NOUN
ejpam-5203	138	12	polynomials	polynomial	NOUN
ejpam-5203	138	13	(	(	PUNCT
ejpam-5203	138	14	?	?	PUNCT
ejpam-5203	138	15	?	?	PUNCT
ejpam-5203	138	16	)	)	PUNCT
ejpam-5203	139	1	li1(1−	li1(1−	PROPN
ejpam-5203	139	2	e−2	e−2	PROPN
ejpam-5203	139	3	t	t	PROPN
ejpam-5203	139	4	)	)	PUNCT
ejpam-5203	139	5	et	et	NOUN
ejpam-5203	139	6	+	+	NOUN
ejpam-5203	139	7	1	1	NUM
ejpam-5203	139	8	ext	ext	NOUN
ejpam-5203	139	9	=	=	NOUN
ejpam-5203	139	10	∞∑	∞∑	NUM
ejpam-5203	139	11	n=0	n=0	NUM
ejpam-5203	139	12	g(1	g(1	NOUN
ejpam-5203	139	13	)	)	PUNCT
ejpam-5203	139	14	n,2(x	n,2(x	NOUN
ejpam-5203	139	15	)	)	PUNCT
ejpam-5203	139	16	tn	tn	PROPN
ejpam-5203	139	17	n	n	PROPN
ejpam-5203	139	18	!	!	PUNCT
ejpam-5203	140	1	=	=	PUNCT
ejpam-5203	141	1	2	2	NUM
ejpam-5203	141	2	t	t	NOUN
ejpam-5203	141	3	et	et	NOUN
ejpam-5203	141	4	+	+	NOUN
ejpam-5203	141	5	1	1	NUM
ejpam-5203	141	6	ext	ext	NOUN
ejpam-5203	141	7	=	=	NOUN
ejpam-5203	141	8	∞∑	∞∑	NUM
ejpam-5203	141	9	n=0	n=0	NUM
ejpam-5203	141	10	gn(x	gn(x	NOUN
ejpam-5203	141	11	)	)	PUNCT
ejpam-5203	141	12	tn	tn	NOUN
ejpam-5203	141	13	n	n	CCONJ
ejpam-5203	141	14	!	!	PUNCT
ejpam-5203	141	15	.	.	PUNCT
ejpam-5203	142	1	consequently	consequently	ADV
ejpam-5203	142	2	,	,	PUNCT
ejpam-5203	142	3	kim	kim	PROPN
ejpam-5203	142	4	et	et	PROPN
ejpam-5203	142	5	al	al	PROPN
ejpam-5203	142	6	.	.	PUNCT
ejpam-5203	143	1	[	[	X
ejpam-5203	143	2	19	19	NUM
ejpam-5203	143	3	]	]	PUNCT
ejpam-5203	143	4	obtained	obtain	VERB
ejpam-5203	143	5	several	several	ADJ
ejpam-5203	143	6	properties	property	NOUN
ejpam-5203	143	7	of	of	ADP
ejpam-5203	143	8	the	the	DET
ejpam-5203	143	9	poly	poly	ADJ
ejpam-5203	143	10	-	-	PUNCT
ejpam-5203	143	11	genocchi	genocchi	NOUN
ejpam-5203	143	12	polynomials	polynomial	NOUN
ejpam-5203	143	13	.	.	PUNCT
ejpam-5203	144	1	on	on	ADP
ejpam-5203	144	2	the	the	DET
ejpam-5203	144	3	other	other	ADJ
ejpam-5203	144	4	hand	hand	NOUN
ejpam-5203	144	5	kurt	kurt	NOUN
ejpam-5203	144	6	[	[	X
ejpam-5203	144	7	20	20	NUM
ejpam-5203	144	8	]	]	PUNCT
ejpam-5203	144	9	ivestigated	ivestigate	VERB
ejpam-5203	144	10	most	most	ADV
ejpam-5203	144	11	creative	creative	ADJ
ejpam-5203	144	12	stage	stage	NOUN
ejpam-5203	144	13	of	of	ADP
ejpam-5203	144	14	poly	poly	NOUN
ejpam-5203	144	15	-	-	PUNCT
ejpam-5203	144	16	genocchi	genocchi	NOUN
ejpam-5203	144	17	of	of	ADP
ejpam-5203	144	18	equation	equation	NOUN
ejpam-5203	144	19	(	(	PUNCT
ejpam-5203	144	20	10	10	NUM
ejpam-5203	144	21	)	)	PUNCT
ejpam-5203	144	22	and	and	CCONJ
ejpam-5203	144	23	(	(	PUNCT
ejpam-5203	144	24	11	11	NUM
ejpam-5203	144	25	)	)	PUNCT
ejpam-5203	144	26	which	which	PRON
ejpam-5203	144	27	are	be	AUX
ejpam-5203	144	28	following	follow	VERB
ejpam-5203	144	29	2lik(1−	2lik(1−	NUM
ejpam-5203	144	30	(	(	PUNCT
ejpam-5203	144	31	ab)−t	ab)−t	PROPN
ejpam-5203	144	32	)	)	PUNCT
ejpam-5203	144	33	a−t	a−t	PROPN
ejpam-5203	145	1	+	+	CCONJ
ejpam-5203	145	2	bt	bt	NOUN
ejpam-5203	145	3	cxt	cxt	NOUN
ejpam-5203	145	4	=	=	PUNCT
ejpam-5203	145	5	∞∑	∞∑	ADJ
ejpam-5203	145	6	n=0	n=0	NUM
ejpam-5203	145	7	g(k	g(k	NOUN
ejpam-5203	145	8	)	)	PUNCT
ejpam-5203	145	9	n	n	CCONJ
ejpam-5203	145	10	(	(	PUNCT
ejpam-5203	145	11	x	x	X
ejpam-5203	145	12	;	;	PUNCT
ejpam-5203	145	13	a	a	DET
ejpam-5203	145	14	,	,	PUNCT
ejpam-5203	145	15	b	b	NOUN
ejpam-5203	145	16	,	,	PUNCT
ejpam-5203	145	17	c	c	NOUN
ejpam-5203	145	18	)	)	PUNCT
ejpam-5203	145	19	tn	tn	PROPN
ejpam-5203	145	20	n	n	CCONJ
ejpam-5203	145	21	!	!	NOUN
ejpam-5203	145	22	2lik(1−	2lik(1−	NUM
ejpam-5203	145	23	(	(	PUNCT
ejpam-5203	145	24	ab)−2	ab)−2	NOUN
ejpam-5203	145	25	t	t	PROPN
ejpam-5203	145	26	)	)	PUNCT
ejpam-5203	145	27	a−t	a−t	PROPN
ejpam-5203	145	28	+	+	CCONJ
ejpam-5203	145	29	bt	bt	NOUN
ejpam-5203	145	30	cxt	cxt	NOUN
ejpam-5203	145	31	=	=	PUNCT
ejpam-5203	145	32	∞∑	∞∑	ADJ
ejpam-5203	145	33	n=0	n=0	NUM
ejpam-5203	145	34	g(k	g(k	NOUN
ejpam-5203	145	35	)	)	PUNCT
ejpam-5203	145	36	n,2(x	n,2(x	NOUN
ejpam-5203	145	37	;	;	PUNCT
ejpam-5203	145	38	a	a	DET
ejpam-5203	145	39	,	,	PUNCT
ejpam-5203	145	40	b	b	NOUN
ejpam-5203	145	41	,	,	PUNCT
ejpam-5203	145	42	c	c	NOUN
ejpam-5203	145	43	)	)	PUNCT
ejpam-5203	145	44	tn	tn	PROPN
ejpam-5203	145	45	n	n	CCONJ
ejpam-5203	145	46	!	!	NOUN
ejpam-5203	146	1	which	which	PRON
ejpam-5203	146	2	are	be	AUX
ejpam-5203	146	3	motivated	motivate	VERB
ejpam-5203	146	4	by	by	ADP
ejpam-5203	146	5	the	the	DET
ejpam-5203	146	6	definitions	definition	NOUN
ejpam-5203	146	7	in	in	ADP
ejpam-5203	146	8	(	(	PUNCT
ejpam-5203	146	9	8)	8)	NUM
ejpam-5203	146	10	and	and	CCONJ
ejpam-5203	146	11	(	(	PUNCT
ejpam-5203	146	12	9	9	NUM
ejpam-5203	146	13	)	)	PUNCT
ejpam-5203	146	14	,	,	PUNCT
ejpam-5203	146	15	respectively	respectively	ADV
ejpam-5203	146	16	.	.	PUNCT
ejpam-5203	147	1	if	if	SCONJ
ejpam-5203	147	2	we	we	PRON
ejpam-5203	147	3	put	put	VERB
ejpam-5203	147	4	x	x	X
ejpam-5203	147	5	=	=	SYM
ejpam-5203	147	6	0	0	NUM
ejpam-5203	147	7	,	,	PUNCT
ejpam-5203	147	8	a	a	DET
ejpam-5203	147	9	=	=	SYM
ejpam-5203	147	10	1	1	NUM
ejpam-5203	147	11	,	,	PUNCT
ejpam-5203	147	12	b	b	NOUN
ejpam-5203	147	13	=	=	SYM
ejpam-5203	147	14	c	c	NOUN
ejpam-5203	147	15	=	=	SYM
ejpam-5203	147	16	e	e	X
ejpam-5203	147	17	in	in	ADP
ejpam-5203	147	18	(	(	PUNCT
ejpam-5203	147	19	10	10	NUM
ejpam-5203	147	20	)	)	PUNCT
ejpam-5203	147	21	,	,	PUNCT
ejpam-5203	147	22	we	we	PRON
ejpam-5203	147	23	have	have	VERB
ejpam-5203	147	24	g(k	g(k	NOUN
ejpam-5203	147	25	)	)	PUNCT
ejpam-5203	147	26	n	n	CCONJ
ejpam-5203	147	27	(	(	PUNCT
ejpam-5203	147	28	0	0	NUM
ejpam-5203	147	29	;	;	PUNCT
ejpam-5203	147	30	1	1	NUM
ejpam-5203	147	31	,	,	PUNCT
ejpam-5203	147	32	e	e	NOUN
ejpam-5203	147	33	,	,	PUNCT
ejpam-5203	147	34	e	e	NOUN
ejpam-5203	147	35	)	)	PUNCT
ejpam-5203	147	36	tn	tn	PROPN
ejpam-5203	147	37	n	n	NOUN
ejpam-5203	147	38	!	!	PUNCT
ejpam-5203	148	1	=	=	SYM
ejpam-5203	148	2	2lik(1−	2lik(1−	NUM
ejpam-5203	148	3	e−t	e−t	NOUN
ejpam-5203	148	4	)	)	PUNCT
ejpam-5203	148	5	et	et	NOUN
ejpam-5203	149	1	+	+	NOUN
ejpam-5203	149	2	1	1	NUM
ejpam-5203	149	3	which	which	PRON
ejpam-5203	149	4	gives	give	VERB
ejpam-5203	149	5	the	the	DET
ejpam-5203	149	6	definition	definition	NOUN
ejpam-5203	149	7	of	of	ADP
ejpam-5203	149	8	kurt	kurt	PROPN
ejpam-5203	150	1	[	[	X
ejpam-5203	150	2	20	20	NUM
ejpam-5203	150	3	]	]	PUNCT
ejpam-5203	150	4	for	for	ADP
ejpam-5203	150	5	the	the	DET
ejpam-5203	150	6	poly	poly	ADJ
ejpam-5203	150	7	-	-	PUNCT
ejpam-5203	150	8	genocchi	genocchi	PROPN
ejpam-5203	150	9	numbers	number	NOUN
ejpam-5203	150	10	g(k	g(k	VERB
ejpam-5203	150	11	)	)	PUNCT
ejpam-5203	150	12	n	n	CCONJ
ejpam-5203	150	13	which	which	PRON
ejpam-5203	150	14	is	be	AUX
ejpam-5203	150	15	also	also	ADV
ejpam-5203	150	16	the	the	DET
ejpam-5203	150	17	definition	definition	NOUN
ejpam-5203	150	18	of	of	ADP
ejpam-5203	150	19	kim	kim	PROPN
ejpam-5203	150	20	et	et	PROPN
ejpam-5203	150	21	al	al	PROPN
ejpam-5203	150	22	.	.	PUNCT
ejpam-5203	151	1	in	in	ADP
ejpam-5203	151	2	[	[	X
ejpam-5203	151	3	19	19	NUM
ejpam-5203	151	4	]	]	PUNCT
ejpam-5203	151	5	the	the	DET
ejpam-5203	151	6	poly	poly	ADJ
ejpam-5203	151	7	-	-	PUNCT
ejpam-5203	151	8	genocchi	genocchi	NOUN
ejpam-5203	151	9	numbers	number	NOUN
ejpam-5203	151	10	.	.	PUNCT
ejpam-5203	152	1	further	far	ADV
ejpam-5203	152	2	,	,	PUNCT
ejpam-5203	152	3	in	in	ADP
ejpam-5203	152	4	[	[	X
ejpam-5203	152	5	12	12	NUM
ejpam-5203	152	6	]	]	PUNCT
ejpam-5203	152	7	they	they	PRON
ejpam-5203	152	8	defined	define	VERB
ejpam-5203	152	9	the	the	DET
ejpam-5203	152	10	generalized	generalize	VERB
ejpam-5203	152	11	poly	poly	ADJ
ejpam-5203	152	12	-	-	PUNCT
ejpam-5203	152	13	genocchi	genocchi	NOUN
ejpam-5203	152	14	polynomials	polynomial	NOUN
ejpam-5203	152	15	with	with	ADP
ejpam-5203	152	16	parameters	parameter	NOUN
ejpam-5203	152	17	a	a	DET
ejpam-5203	152	18	,	,	PUNCT
ejpam-5203	152	19	b	b	NOUN
ejpam-5203	152	20	,	,	PUNCT
ejpam-5203	152	21	and	and	CCONJ
ejpam-5203	152	22	c	c	AUX
ejpam-5203	152	23	by	by	ADP
ejpam-5203	152	24	∞∑	∞∑	NUM
ejpam-5203	152	25	n=0	n=0	PROPN
ejpam-5203	152	26	g(k	g(k	NOUN
ejpam-5203	152	27	)	)	PUNCT
ejpam-5203	152	28	n	n	CCONJ
ejpam-5203	152	29	(	(	PUNCT
ejpam-5203	152	30	x	x	X
ejpam-5203	152	31	;	;	PUNCT
ejpam-5203	152	32	a	a	DET
ejpam-5203	152	33	,	,	PUNCT
ejpam-5203	152	34	b	b	NOUN
ejpam-5203	152	35	,	,	PUNCT
ejpam-5203	152	36	c	c	NOUN
ejpam-5203	152	37	)	)	PUNCT
ejpam-5203	152	38	tn	tn	PROPN
ejpam-5203	152	39	n	n	CCONJ
ejpam-5203	152	40	!	!	PUNCT
ejpam-5203	153	1	=	=	PRON
ejpam-5203	153	2	lik(1−	lik(1−	ADJ
ejpam-5203	153	3	(	(	PUNCT
ejpam-5203	153	4	ab)−2	ab)−2	NOUN
ejpam-5203	153	5	t	t	PROPN
ejpam-5203	153	6	)	)	PUNCT
ejpam-5203	153	7	a−t	a−t	PROPN
ejpam-5203	153	8	+	+	CCONJ
ejpam-5203	153	9	bt	bt	PROPN
ejpam-5203	153	10	cxt	cxt	PROPN
ejpam-5203	153	11	,	,	PUNCT
ejpam-5203	153	12	|t|	|t|	VERB
ejpam-5203	153	13	<	<	X
ejpam-5203	153	14	π	π	X
ejpam-5203	153	15	|	|	ADV
ejpam-5203	153	16	ln	ln	ADJ
ejpam-5203	153	17	a+	a+	PUNCT
ejpam-5203	153	18	ln	ln	ADJ
ejpam-5203	153	19	b|	b|	PROPN
ejpam-5203	153	20	.	.	PUNCT
ejpam-5203	154	1	(	(	PUNCT
ejpam-5203	154	2	18	18	NUM
ejpam-5203	154	3	)	)	PUNCT
ejpam-5203	154	4	m.	m.	NOUN
ejpam-5203	154	5	laurente	laurente	NOUN
ejpam-5203	154	6	,	,	PUNCT
ejpam-5203	154	7	az	az	PROPN
ejpam-5203	154	8	d.	d.	PROPN
ejpam-5203	154	9	ababa	ababa	PROPN
ejpam-5203	154	10	/	/	SYM
ejpam-5203	154	11	eur	eur	PROPN
ejpam-5203	154	12	.	.	PUNCT
ejpam-5203	155	1	j.	j.	PROPN
ejpam-5203	155	2	pure	pure	PROPN
ejpam-5203	155	3	appl	appl	PROPN
ejpam-5203	155	4	.	.	PROPN
ejpam-5203	155	5	math	math	PROPN
ejpam-5203	155	6	,	,	PUNCT
ejpam-5203	155	7	18	18	NUM
ejpam-5203	155	8	(	(	PUNCT
ejpam-5203	155	9	4	4	NUM
ejpam-5203	155	10	)	)	PUNCT
ejpam-5203	155	11	(	(	PUNCT
ejpam-5203	155	12	2025	2025	NUM
ejpam-5203	155	13	)	)	PUNCT
ejpam-5203	155	14	,	,	PUNCT
ejpam-5203	155	15	5203	5203	NUM
ejpam-5203	155	16	8	8	NUM
ejpam-5203	155	17	of	of	ADP
ejpam-5203	155	18	19	19	NUM
ejpam-5203	155	19	4	4	NUM
ejpam-5203	155	20	.	.	PUNCT
ejpam-5203	156	1	on	on	ADP
ejpam-5203	156	2	apostol	apostol	NOUN
ejpam-5203	156	3	-	-	PUNCT
ejpam-5203	156	4	type	type	NOUN
ejpam-5203	156	5	multi	multi	ADJ
ejpam-5203	156	6	poly	poly	ADJ
ejpam-5203	156	7	-	-	PUNCT
ejpam-5203	156	8	genocchi	genocchi	NOUN
ejpam-5203	156	9	polynomials	polynomial	NOUN
ejpam-5203	156	10	with	with	ADP
ejpam-5203	156	11	parameters	parameter	NOUN
ejpam-5203	156	12	a	a	PRON
ejpam-5203	156	13	,	,	PUNCT
ejpam-5203	156	14	b	b	NOUN
ejpam-5203	156	15	and	and	CCONJ
ejpam-5203	156	16	c	c	NOUN
ejpam-5203	156	17	definition	definition	NOUN
ejpam-5203	156	18	4.1	4.1	NUM
ejpam-5203	156	19	.	.	PUNCT
ejpam-5203	157	1	an	an	DET
ejpam-5203	157	2	apostol	apostol	NOUN
ejpam-5203	157	3	-	-	PUNCT
ejpam-5203	157	4	type	type	NOUN
ejpam-5203	157	5	of	of	ADP
ejpam-5203	157	6	multi	multi	ADJ
ejpam-5203	157	7	poly	poly	ADJ
ejpam-5203	157	8	genocchi	genocchi	NOUN
ejpam-5203	157	9	polynomials	polynomial	VERB
ejpam-5203	157	10	with	with	ADP
ejpam-5203	157	11	parameters	parameter	NOUN
ejpam-5203	157	12	a	a	DET
ejpam-5203	157	13	,	,	PUNCT
ejpam-5203	157	14	b	b	NOUN
ejpam-5203	157	15	and	and	CCONJ
ejpam-5203	157	16	c	c	PROPN
ejpam-5203	157	17	is	be	AUX
ejpam-5203	157	18	defined	define	VERB
ejpam-5203	157	19	by	by	ADP
ejpam-5203	157	20	∞∑	∞∑	NUM
ejpam-5203	157	21	n=0	n=0	PROPN
ejpam-5203	157	22	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	157	23	,	,	PUNCT
ejpam-5203	157	24	·	·	PUNCT
ejpam-5203	157	25	·	·	PUNCT
ejpam-5203	157	26	·	·	PUNCT
ejpam-5203	157	27	,	,	PUNCT
ejpam-5203	157	28	kr	kr	PROPN
ejpam-5203	157	29	)	)	PUNCT
ejpam-5203	157	30	n	n	CCONJ
ejpam-5203	157	31	(	(	PUNCT
ejpam-5203	157	32	x;λ	x;λ	PROPN
ejpam-5203	157	33	,	,	PUNCT
ejpam-5203	157	34	a	a	DET
ejpam-5203	157	35	,	,	PUNCT
ejpam-5203	157	36	b	b	NOUN
ejpam-5203	157	37	,	,	PUNCT
ejpam-5203	157	38	c	c	NOUN
ejpam-5203	157	39	)	)	PUNCT
ejpam-5203	157	40	tn	tn	PROPN
ejpam-5203	157	41	n	n	NOUN
ejpam-5203	157	42	!	!	PUNCT
ejpam-5203	158	1	=	=	PUNCT
ejpam-5203	158	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	158	3	,	,	PUNCT
ejpam-5203	158	4	·	·	PUNCT
ejpam-5203	158	5	·	·	PUNCT
ejpam-5203	158	6	·	·	PUNCT
ejpam-5203	158	7	,	,	PUNCT
ejpam-5203	158	8	kr	kr	PROPN
ejpam-5203	158	9	(	(	PUNCT
ejpam-5203	158	10	1−	1−	NUM
ejpam-5203	158	11	(	(	PUNCT
ejpam-5203	158	12	ab)−2	ab)−2	NOUN
ejpam-5203	158	13	t	t	PROPN
ejpam-5203	158	14	)	)	PUNCT
ejpam-5203	158	15	(	(	PUNCT
ejpam-5203	158	16	a−t	a−t	NOUN
ejpam-5203	158	17	+	+	NOUN
ejpam-5203	158	18	λbt)r	λbt)r	PROPN
ejpam-5203	158	19	crxt	crxt	PROPN
ejpam-5203	158	20	,	,	PUNCT
ejpam-5203	158	21	(	(	PUNCT
ejpam-5203	158	22	19	19	NUM
ejpam-5203	158	23	)	)	PUNCT
ejpam-5203	158	24	where	where	SCONJ
ejpam-5203	158	25	x	x	PRON
ejpam-5203	158	26	is	be	AUX
ejpam-5203	158	27	any	any	DET
ejpam-5203	158	28	real	real	ADJ
ejpam-5203	158	29	number	number	NOUN
ejpam-5203	158	30	with	with	ADP
ejpam-5203	158	31	k1	k1	NOUN
ejpam-5203	158	32	,	,	PUNCT
ejpam-5203	158	33	k2	k2	NOUN
ejpam-5203	158	34	,	,	PUNCT
ejpam-5203	158	35	.	.	PUNCT
ejpam-5203	158	36	.	.	PUNCT
ejpam-5203	158	37	.	.	PUNCT
ejpam-5203	159	1	,	,	PUNCT
ejpam-5203	159	2	kr	kr	PROPN
ejpam-5203	159	3	∈	∈	PROPN
ejpam-5203	159	4	z+	z+	X
ejpam-5203	159	5	,	,	PUNCT
ejpam-5203	159	6	λ	λ	PROPN
ejpam-5203	159	7	∈	∈	PROPN
ejpam-5203	159	8	c	c	NOUN
ejpam-5203	159	9	and	and	CCONJ
ejpam-5203	159	10	a	a	DET
ejpam-5203	159	11	,	,	PUNCT
ejpam-5203	159	12	b	b	NOUN
ejpam-5203	159	13	,	,	PUNCT
ejpam-5203	159	14	c	c	PROPN
ejpam-5203	159	15	are	be	AUX
ejpam-5203	159	16	any	any	DET
ejpam-5203	159	17	positive	positive	ADJ
ejpam-5203	159	18	real	real	ADJ
ejpam-5203	159	19	numbers	number	NOUN
ejpam-5203	159	20	.	.	PUNCT
ejpam-5203	160	1	when	when	SCONJ
ejpam-5203	160	2	c	c	NOUN
ejpam-5203	160	3	=	=	SYM
ejpam-5203	160	4	e	e	NOUN
ejpam-5203	160	5	equation(19	equation(19	NOUN
ejpam-5203	160	6	)	)	PUNCT
ejpam-5203	160	7	reduces	reduce	VERB
ejpam-5203	160	8	to	to	ADP
ejpam-5203	160	9	∞∑	∞∑	NUM
ejpam-5203	160	10	n=0	n=0	NUM
ejpam-5203	160	11	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	160	12	...	...	PUNCT
ejpam-5203	160	13	,kr	,kr	SYM
ejpam-5203	160	14	)	)	PUNCT
ejpam-5203	161	1	n	n	CCONJ
ejpam-5203	161	2	(	(	PUNCT
ejpam-5203	161	3	x;λ	x;λ	PROPN
ejpam-5203	161	4	,	,	PUNCT
ejpam-5203	161	5	a	a	DET
ejpam-5203	161	6	,	,	PUNCT
ejpam-5203	161	7	b	b	NOUN
ejpam-5203	161	8	,	,	PUNCT
ejpam-5203	161	9	e	e	NOUN
ejpam-5203	161	10	)	)	PUNCT
ejpam-5203	161	11	tn	tn	PROPN
ejpam-5203	161	12	n	n	NOUN
ejpam-5203	161	13	!	!	PUNCT
ejpam-5203	162	1	=	=	PUNCT
ejpam-5203	162	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	162	3	,	,	PUNCT
ejpam-5203	162	4	·	·	PUNCT
ejpam-5203	162	5	·	·	PUNCT
ejpam-5203	162	6	·	·	PUNCT
ejpam-5203	162	7	,	,	PUNCT
ejpam-5203	162	8	kr	kr	PROPN
ejpam-5203	162	9	(	(	PUNCT
ejpam-5203	162	10	1−	1−	NUM
ejpam-5203	162	11	(	(	PUNCT
ejpam-5203	162	12	ab)−2	ab)−2	NOUN
ejpam-5203	162	13	t	t	PROPN
ejpam-5203	162	14	)	)	PUNCT
ejpam-5203	162	15	(	(	PUNCT
ejpam-5203	162	16	a−t	a−t	NOUN
ejpam-5203	162	17	+	+	CCONJ
ejpam-5203	162	18	λbt)r	λbt)r	PROPN
ejpam-5203	162	19	erxt	erxt	X
ejpam-5203	162	20	(	(	PUNCT
ejpam-5203	162	21	20	20	NUM
ejpam-5203	162	22	)	)	PUNCT
ejpam-5203	162	23	we	we	PRON
ejpam-5203	162	24	use	use	VERB
ejpam-5203	162	25	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	162	26	,	,	PUNCT
ejpam-5203	162	27	·	·	PUNCT
ejpam-5203	162	28	·	·	PUNCT
ejpam-5203	162	29	·	·	PUNCT
ejpam-5203	162	30	,	,	PUNCT
ejpam-5203	162	31	kr	kr	PROPN
ejpam-5203	162	32	)	)	PUNCT
ejpam-5203	162	33	n	n	CCONJ
ejpam-5203	162	34	(	(	PUNCT
ejpam-5203	162	35	x;λ	x;λ	PROPN
ejpam-5203	162	36	,	,	PUNCT
ejpam-5203	162	37	a	a	DET
ejpam-5203	162	38	,	,	PUNCT
ejpam-5203	162	39	b	b	NOUN
ejpam-5203	162	40	)	)	PUNCT
ejpam-5203	162	41	to	to	PART
ejpam-5203	162	42	denote	denote	VERB
ejpam-5203	162	43	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	162	44	,	,	PUNCT
ejpam-5203	162	45	·	·	PUNCT
ejpam-5203	162	46	·	·	PUNCT
ejpam-5203	162	47	·	·	PUNCT
ejpam-5203	162	48	,	,	PUNCT
ejpam-5203	162	49	kr	kr	PROPN
ejpam-5203	162	50	)	)	PUNCT
ejpam-5203	162	51	n	n	CCONJ
ejpam-5203	162	52	(	(	PUNCT
ejpam-5203	162	53	x;λ	x;λ	PROPN
ejpam-5203	162	54	,	,	PUNCT
ejpam-5203	162	55	a	a	DET
ejpam-5203	162	56	,	,	PUNCT
ejpam-5203	162	57	b	b	NOUN
ejpam-5203	162	58	,	,	PUNCT
ejpam-5203	162	59	e	e	NOUN
ejpam-5203	162	60	)	)	PUNCT
ejpam-5203	162	61	.	.	PUNCT
ejpam-5203	163	1	that	that	PRON
ejpam-5203	163	2	is	be	AUX
ejpam-5203	163	3	,	,	PUNCT
ejpam-5203	163	4	∞∑	∞∑	PRON
ejpam-5203	163	5	n=0	n=0	PROPN
ejpam-5203	163	6	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	163	7	,	,	PUNCT
ejpam-5203	163	8	·	·	PUNCT
ejpam-5203	163	9	·	·	PUNCT
ejpam-5203	163	10	·	·	PUNCT
ejpam-5203	163	11	,	,	PUNCT
ejpam-5203	163	12	kr	kr	PROPN
ejpam-5203	163	13	)	)	PUNCT
ejpam-5203	163	14	n	n	CCONJ
ejpam-5203	163	15	(	(	PUNCT
ejpam-5203	163	16	x;λ	x;λ	PROPN
ejpam-5203	163	17	,	,	PUNCT
ejpam-5203	163	18	a	a	DET
ejpam-5203	163	19	,	,	PUNCT
ejpam-5203	163	20	b	b	NOUN
ejpam-5203	163	21	)	)	PUNCT
ejpam-5203	163	22	tn	tn	PROPN
ejpam-5203	163	23	n	n	NOUN
ejpam-5203	163	24	!	!	PUNCT
ejpam-5203	164	1	=	=	PUNCT
ejpam-5203	164	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	164	3	,	,	PUNCT
ejpam-5203	164	4	·	·	PUNCT
ejpam-5203	164	5	·	·	PUNCT
ejpam-5203	164	6	·	·	PUNCT
ejpam-5203	164	7	,	,	PUNCT
ejpam-5203	164	8	kr	kr	PROPN
ejpam-5203	164	9	(	(	PUNCT
ejpam-5203	164	10	1−	1−	NUM
ejpam-5203	164	11	(	(	PUNCT
ejpam-5203	164	12	ab)−2	ab)−2	NOUN
ejpam-5203	164	13	t	t	PROPN
ejpam-5203	164	14	)	)	PUNCT
ejpam-5203	164	15	(	(	PUNCT
ejpam-5203	164	16	a−t	a−t	NOUN
ejpam-5203	164	17	+	+	CCONJ
ejpam-5203	164	18	λbt)r	λbt)r	PROPN
ejpam-5203	164	19	erxt	erxt	X
ejpam-5203	164	20	.	.	PUNCT
ejpam-5203	165	1	(	(	PUNCT
ejpam-5203	165	2	21	21	NUM
ejpam-5203	165	3	)	)	PUNCT
ejpam-5203	165	4	for	for	ADP
ejpam-5203	165	5	instance	instance	NOUN
ejpam-5203	165	6	,	,	PUNCT
ejpam-5203	165	7	if	if	SCONJ
ejpam-5203	165	8	we	we	PRON
ejpam-5203	165	9	put	put	VERB
ejpam-5203	165	10	a	a	DET
ejpam-5203	165	11	=	=	NOUN
ejpam-5203	165	12	1	1	NUM
ejpam-5203	165	13	,	,	PUNCT
ejpam-5203	165	14	b	b	NOUN
ejpam-5203	165	15	=	=	SYM
ejpam-5203	165	16	e	e	NOUN
ejpam-5203	165	17	in	in	ADP
ejpam-5203	165	18	equation	equation	NOUN
ejpam-5203	165	19	(	(	PUNCT
ejpam-5203	165	20	21	21	NUM
ejpam-5203	165	21	)	)	PUNCT
ejpam-5203	165	22	,	,	PUNCT
ejpam-5203	165	23	then	then	ADV
ejpam-5203	165	24	this	this	PRON
ejpam-5203	165	25	will	will	AUX
ejpam-5203	165	26	reduce	reduce	VERB
ejpam-5203	165	27	to	to	ADP
ejpam-5203	165	28	∞∑	∞∑	NUM
ejpam-5203	165	29	n=0	n=0	PROPN
ejpam-5203	165	30	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	165	31	,	,	PUNCT
ejpam-5203	165	32	·	·	PUNCT
ejpam-5203	165	33	·	·	PUNCT
ejpam-5203	165	34	·	·	PUNCT
ejpam-5203	165	35	,	,	PUNCT
ejpam-5203	165	36	kr	kr	PROPN
ejpam-5203	165	37	)	)	PUNCT
ejpam-5203	165	38	n	n	CCONJ
ejpam-5203	165	39	(	(	PUNCT
ejpam-5203	165	40	x;λ	x;λ	PROPN
ejpam-5203	165	41	,	,	PUNCT
ejpam-5203	165	42	1	1	NUM
ejpam-5203	165	43	,	,	PUNCT
ejpam-5203	165	44	e	e	NOUN
ejpam-5203	165	45	)	)	PUNCT
ejpam-5203	165	46	tn	tn	PROPN
ejpam-5203	165	47	n	n	NOUN
ejpam-5203	165	48	!	!	PUNCT
ejpam-5203	166	1	=	=	PUNCT
ejpam-5203	166	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	166	3	,	,	PUNCT
ejpam-5203	166	4	·	·	PUNCT
ejpam-5203	166	5	·	·	PUNCT
ejpam-5203	166	6	·	·	PUNCT
ejpam-5203	166	7	,	,	PUNCT
ejpam-5203	166	8	kr	kr	PROPN
ejpam-5203	166	9	(	(	PUNCT
ejpam-5203	166	10	1−	1−	PROPN
ejpam-5203	166	11	e−2	e−2	PROPN
ejpam-5203	166	12	t	t	PROPN
ejpam-5203	166	13	)	)	PUNCT
ejpam-5203	166	14	(	(	PUNCT
ejpam-5203	166	15	1	1	X
ejpam-5203	166	16	+	+	CCONJ
ejpam-5203	166	17	λet)r	λet)r	PROPN
ejpam-5203	166	18	erxt	erxt	X
ejpam-5203	166	19	.	.	PUNCT
ejpam-5203	167	1	(	(	PUNCT
ejpam-5203	167	2	22	22	NUM
ejpam-5203	167	3	)	)	PUNCT
ejpam-5203	167	4	we	we	PRON
ejpam-5203	167	5	may	may	AUX
ejpam-5203	167	6	use	use	VERB
ejpam-5203	167	7	the	the	DET
ejpam-5203	167	8	notation	notation	NOUN
ejpam-5203	167	9	g(k1,k2,k3,	g(k1,k2,k3,	PROPN
ejpam-5203	167	10	...	...	PUNCT
ejpam-5203	167	11	,kr	,kr	SYM
ejpam-5203	167	12	)	)	PUNCT
ejpam-5203	168	1	n	n	CCONJ
ejpam-5203	168	2	(	(	PUNCT
ejpam-5203	168	3	x;λ	x;λ	NUM
ejpam-5203	168	4	)	)	PUNCT
ejpam-5203	168	5	=	=	SYM
ejpam-5203	168	6	g(k1,k2,k3,	g(k1,k2,k3,	PROPN
ejpam-5203	168	7	...	...	PUNCT
ejpam-5203	168	8	,kr	,kr	X
ejpam-5203	168	9	)	)	PUNCT
ejpam-5203	169	1	n	n	CCONJ
ejpam-5203	169	2	(	(	PUNCT
ejpam-5203	169	3	x;λ	x;λ	PROPN
ejpam-5203	169	4	,	,	PUNCT
ejpam-5203	169	5	1	1	NUM
ejpam-5203	169	6	,	,	PUNCT
ejpam-5203	169	7	e	e	NOUN
ejpam-5203	169	8	)	)	PUNCT
ejpam-5203	170	1	and	and	CCONJ
ejpam-5203	170	2	call	call	VERB
ejpam-5203	170	3	them	they	PRON
ejpam-5203	170	4	apostol	apostol	NOUN
ejpam-5203	170	5	-	-	PUNCT
ejpam-5203	170	6	type	type	NOUN
ejpam-5203	170	7	multi	multi	ADJ
ejpam-5203	170	8	poly	poly	ADJ
ejpam-5203	170	9	-	-	PUNCT
ejpam-5203	170	10	genocchi	genocchi	NOUN
ejpam-5203	170	11	polynomials	polynomial	NOUN
ejpam-5203	170	12	.	.	PUNCT
ejpam-5203	171	1	when	when	SCONJ
ejpam-5203	171	2	λ	λ	X
ejpam-5203	171	3	=	=	SYM
ejpam-5203	171	4	1	1	NUM
ejpam-5203	171	5	equation	equation	NOUN
ejpam-5203	171	6	(	(	PUNCT
ejpam-5203	171	7	22	22	NUM
ejpam-5203	171	8	)	)	PUNCT
ejpam-5203	171	9	gives	give	VERB
ejpam-5203	171	10	∞∑	∞∑	DET
ejpam-5203	171	11	n=0	n=0	NUM
ejpam-5203	171	12	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	171	13	...	...	PUNCT
ejpam-5203	171	14	,kr	,kr	SYM
ejpam-5203	171	15	)	)	PUNCT
ejpam-5203	171	16	n	n	CCONJ
ejpam-5203	171	17	(	(	PUNCT
ejpam-5203	171	18	x	x	NOUN
ejpam-5203	171	19	;	;	PUNCT
ejpam-5203	171	20	1	1	X
ejpam-5203	171	21	)	)	PUNCT
ejpam-5203	171	22	tn	tn	NOUN
ejpam-5203	171	23	n	n	NOUN
ejpam-5203	171	24	!	!	PUNCT
ejpam-5203	172	1	=	=	PUNCT
ejpam-5203	172	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	172	3	,	,	PUNCT
ejpam-5203	172	4	·	·	PUNCT
ejpam-5203	172	5	·	·	PUNCT
ejpam-5203	172	6	·	·	PUNCT
ejpam-5203	172	7	,	,	PUNCT
ejpam-5203	172	8	kr	kr	PROPN
ejpam-5203	172	9	(	(	PUNCT
ejpam-5203	172	10	1−	1−	PROPN
ejpam-5203	172	11	e−2	e−2	PROPN
ejpam-5203	172	12	t	t	PROPN
ejpam-5203	172	13	)	)	PUNCT
ejpam-5203	172	14	(	(	PUNCT
ejpam-5203	172	15	1	1	NUM
ejpam-5203	172	16	+	+	CCONJ
ejpam-5203	172	17	et)r	et)r	PROPN
ejpam-5203	172	18	erxt	erxt	X
ejpam-5203	172	19	.	.	PUNCT
ejpam-5203	173	1	(	(	PUNCT
ejpam-5203	173	2	23	23	NUM
ejpam-5203	173	3	)	)	PUNCT
ejpam-5203	173	4	when	when	SCONJ
ejpam-5203	173	5	x	x	SYM
ejpam-5203	173	6	=	=	SYM
ejpam-5203	173	7	0	0	NUM
ejpam-5203	173	8	equation	equation	NOUN
ejpam-5203	173	9	(	(	PUNCT
ejpam-5203	173	10	21	21	NUM
ejpam-5203	173	11	)	)	PUNCT
ejpam-5203	173	12	gives	give	VERB
ejpam-5203	173	13	∞∑	∞∑	DET
ejpam-5203	173	14	n=0	n=0	NUM
ejpam-5203	173	15	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	173	16	,	,	PUNCT
ejpam-5203	173	17	·	·	PUNCT
ejpam-5203	173	18	·	·	PUNCT
ejpam-5203	173	19	·	·	PUNCT
ejpam-5203	173	20	,	,	PUNCT
ejpam-5203	173	21	kr	kr	PROPN
ejpam-5203	173	22	)	)	PUNCT
ejpam-5203	173	23	n	n	PROPN
ejpam-5203	173	24	(	(	PUNCT
ejpam-5203	173	25	0;λ	0;λ	NOUN
ejpam-5203	173	26	,	,	PUNCT
ejpam-5203	173	27	a	a	DET
ejpam-5203	173	28	,	,	PUNCT
ejpam-5203	173	29	b	b	NOUN
ejpam-5203	173	30	)	)	PUNCT
ejpam-5203	173	31	tn	tn	PROPN
ejpam-5203	173	32	n	n	NOUN
ejpam-5203	173	33	!	!	PUNCT
ejpam-5203	174	1	=	=	PUNCT
ejpam-5203	174	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	174	3	,	,	PUNCT
ejpam-5203	174	4	·	·	PUNCT
ejpam-5203	174	5	·	·	PUNCT
ejpam-5203	174	6	·	·	PUNCT
ejpam-5203	174	7	,	,	PUNCT
ejpam-5203	174	8	kr	kr	PROPN
ejpam-5203	174	9	(	(	PUNCT
ejpam-5203	174	10	1−	1−	NUM
ejpam-5203	174	11	(	(	PUNCT
ejpam-5203	174	12	ab)−2	ab)−2	NOUN
ejpam-5203	174	13	t	t	PROPN
ejpam-5203	174	14	)	)	PUNCT
ejpam-5203	174	15	(	(	PUNCT
ejpam-5203	174	16	a−t	a−t	NOUN
ejpam-5203	174	17	+	+	X
ejpam-5203	174	18	λbt)r	λbt)r	PROPN
ejpam-5203	174	19	.	.	PUNCT
ejpam-5203	175	1	(	(	PUNCT
ejpam-5203	175	2	24	24	NUM
ejpam-5203	175	3	)	)	PUNCT
ejpam-5203	175	4	we	we	PRON
ejpam-5203	175	5	use	use	VERB
ejpam-5203	175	6	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	175	7	...	...	PUNCT
ejpam-5203	175	8	,kr	,kr	X
ejpam-5203	175	9	)	)	PUNCT
ejpam-5203	176	1	n	n	CCONJ
ejpam-5203	176	2	(	(	PUNCT
ejpam-5203	176	3	a	a	DET
ejpam-5203	176	4	,	,	PUNCT
ejpam-5203	176	5	b	b	NOUN
ejpam-5203	176	6	)	)	PUNCT
ejpam-5203	176	7	to	to	PART
ejpam-5203	176	8	denote	denote	VERB
ejpam-5203	176	9	g(k1,k2,k3,	g(k1,k2,k3,	PROPN
ejpam-5203	176	10	...	...	PUNCT
ejpam-5203	176	11	,kr	,kr	SYM
ejpam-5203	176	12	)	)	PUNCT
ejpam-5203	176	13	n	n	CCONJ
ejpam-5203	176	14	(	(	PUNCT
ejpam-5203	176	15	0	0	NUM
ejpam-5203	176	16	;	;	PUNCT
ejpam-5203	176	17	a	a	DET
ejpam-5203	176	18	,	,	PUNCT
ejpam-5203	176	19	b	b	NOUN
ejpam-5203	176	20	)	)	PUNCT
ejpam-5203	176	21	the	the	DET
ejpam-5203	176	22	apostol	apostol	NOUN
ejpam-5203	176	23	-	-	PUNCT
ejpam-5203	176	24	type	type	NOUN
ejpam-5203	176	25	multi	multi	ADJ
ejpam-5203	176	26	polygenocchi	polygenocchi	PROPN
ejpam-5203	176	27	numbers	number	NOUN
ejpam-5203	176	28	.	.	PUNCT
ejpam-5203	177	1	m.	m.	NOUN
ejpam-5203	177	2	laurente	laurente	PROPN
ejpam-5203	177	3	,	,	PUNCT
ejpam-5203	177	4	az	az	PROPN
ejpam-5203	177	5	d.	d.	PROPN
ejpam-5203	177	6	ababa	ababa	PROPN
ejpam-5203	177	7	/	/	SYM
ejpam-5203	177	8	eur	eur	PROPN
ejpam-5203	177	9	.	.	PUNCT
ejpam-5203	178	1	j.	j.	PROPN
ejpam-5203	178	2	pure	pure	PROPN
ejpam-5203	178	3	appl	appl	PROPN
ejpam-5203	178	4	.	.	PROPN
ejpam-5203	178	5	math	math	PROPN
ejpam-5203	178	6	,	,	PUNCT
ejpam-5203	178	7	18	18	NUM
ejpam-5203	178	8	(	(	PUNCT
ejpam-5203	178	9	4	4	NUM
ejpam-5203	178	10	)	)	PUNCT
ejpam-5203	178	11	(	(	PUNCT
ejpam-5203	178	12	2025	2025	NUM
ejpam-5203	178	13	)	)	PUNCT
ejpam-5203	178	14	,	,	PUNCT
ejpam-5203	178	15	5203	5203	NUM
ejpam-5203	178	16	9	9	NUM
ejpam-5203	178	17	of	of	ADP
ejpam-5203	178	18	19	19	NUM
ejpam-5203	178	19	theorem	theorem	VERB
ejpam-5203	178	20	4.2	4.2	NUM
ejpam-5203	178	21	.	.	PUNCT
ejpam-5203	179	1	an	an	DET
ejpam-5203	179	2	apostol	apostol	NOUN
ejpam-5203	179	3	-	-	PUNCT
ejpam-5203	179	4	type	type	NOUN
ejpam-5203	179	5	of	of	ADP
ejpam-5203	179	6	multi	multi	ADJ
ejpam-5203	179	7	poly	poly	ADJ
ejpam-5203	179	8	-	-	PUNCT
ejpam-5203	179	9	genocchi	genocchi	NOUN
ejpam-5203	179	10	polynomials	polynomial	NOUN
ejpam-5203	179	11	with	with	ADP
ejpam-5203	179	12	parameters	parameter	NOUN
ejpam-5203	179	13	a	a	DET
ejpam-5203	179	14	,	,	PUNCT
ejpam-5203	179	15	b	b	NOUN
ejpam-5203	179	16	,	,	PUNCT
ejpam-5203	179	17	and	and	CCONJ
ejpam-5203	179	18	c	c	PART
ejpam-5203	179	19	satisfy	satisfy	VERB
ejpam-5203	179	20	the	the	DET
ejpam-5203	179	21	relation	relation	NOUN
ejpam-5203	179	22	.	.	PUNCT
ejpam-5203	180	1	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	180	2	...	...	PUNCT
ejpam-5203	180	3	,kr	,kr	X
ejpam-5203	180	4	)	)	PUNCT
ejpam-5203	181	1	n	n	CCONJ
ejpam-5203	181	2	(	(	PUNCT
ejpam-5203	181	3	x;λ	x;λ	PROPN
ejpam-5203	181	4	,	,	PUNCT
ejpam-5203	181	5	a	a	DET
ejpam-5203	181	6	,	,	PUNCT
ejpam-5203	181	7	b	b	NOUN
ejpam-5203	181	8	,	,	PUNCT
ejpam-5203	181	9	c	c	NOUN
ejpam-5203	181	10	)	)	PUNCT
ejpam-5203	181	11	=	=	SYM
ejpam-5203	182	1	(	(	PUNCT
ejpam-5203	182	2	ln	ln	ADJ
ejpam-5203	182	3	a+	a+	PRON
ejpam-5203	182	4	ln	ln	ADJ
ejpam-5203	182	5	b)ng(k1,k2,k3,	b)ng(k1,k2,k3,	NOUN
ejpam-5203	182	6	...	...	PUNCT
ejpam-5203	182	7	,kr	,kr	X
ejpam-5203	182	8	)	)	PUNCT
ejpam-5203	182	9	n	n	CCONJ
ejpam-5203	182	10	(	(	PUNCT
ejpam-5203	182	11	rx	rx	VERB
ejpam-5203	182	12	ln	ln	ADJ
ejpam-5203	182	13	c+	c+	NOUN
ejpam-5203	182	14	r	r	NOUN
ejpam-5203	182	15	ln	ln	NOUN
ejpam-5203	182	16	a	a	DET
ejpam-5203	182	17	ln	ln	NOUN
ejpam-5203	182	18	ab	ab	NOUN
ejpam-5203	182	19	;	;	PUNCT
ejpam-5203	182	20	λ	λ	PROPN
ejpam-5203	182	21	)	)	PUNCT
ejpam-5203	182	22	,	,	PUNCT
ejpam-5203	182	23	ab	ab	PROPN
ejpam-5203	182	24	̸=	̸=	PROPN
ejpam-5203	182	25	1	1	NUM
ejpam-5203	182	26	.	.	PUNCT
ejpam-5203	183	1	(	(	PUNCT
ejpam-5203	183	2	25	25	NUM
ejpam-5203	183	3	)	)	PUNCT
ejpam-5203	183	4	proof	proof	NOUN
ejpam-5203	183	5	.	.	PUNCT
ejpam-5203	184	1	by	by	ADP
ejpam-5203	184	2	definition	definition	NOUN
ejpam-5203	184	3	of	of	ADP
ejpam-5203	184	4	an	an	DET
ejpam-5203	184	5	apostol	apostol	NOUN
ejpam-5203	184	6	-	-	PUNCT
ejpam-5203	184	7	type	type	NOUN
ejpam-5203	184	8	of	of	ADP
ejpam-5203	184	9	multi	multi	ADJ
ejpam-5203	184	10	poly	poly	ADJ
ejpam-5203	184	11	-	-	PUNCT
ejpam-5203	184	12	genocchi	genocchi	NOUN
ejpam-5203	184	13	polynomials	polynomial	NOUN
ejpam-5203	184	14	in	in	ADP
ejpam-5203	184	15	equation	equation	NOUN
ejpam-5203	184	16	(	(	PUNCT
ejpam-5203	184	17	19	19	NUM
ejpam-5203	184	18	)	)	PUNCT
ejpam-5203	184	19	we	we	PRON
ejpam-5203	184	20	have	have	VERB
ejpam-5203	184	21	∞∑	∞∑	NUM
ejpam-5203	184	22	n=0	n=0	NUM
ejpam-5203	184	23	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	184	24	...	...	PUNCT
ejpam-5203	184	25	,kr	,kr	SYM
ejpam-5203	184	26	)	)	PUNCT
ejpam-5203	185	1	n	n	CCONJ
ejpam-5203	185	2	(	(	PUNCT
ejpam-5203	185	3	x;λ	x;λ	PROPN
ejpam-5203	185	4	,	,	PUNCT
ejpam-5203	185	5	a	a	DET
ejpam-5203	185	6	,	,	PUNCT
ejpam-5203	185	7	b	b	NOUN
ejpam-5203	185	8	,	,	PUNCT
ejpam-5203	185	9	c	c	NOUN
ejpam-5203	185	10	)	)	PUNCT
ejpam-5203	185	11	tn	tn	PROPN
ejpam-5203	185	12	n	n	NOUN
ejpam-5203	185	13	!	!	PUNCT
ejpam-5203	186	1	=	=	PUNCT
ejpam-5203	186	2	lik1,k2,k3	lik1,k2,k3	PROPN
ejpam-5203	186	3	,	,	PUNCT
ejpam-5203	186	4	·	·	PUNCT
ejpam-5203	186	5	·	·	PUNCT
ejpam-5203	186	6	·	·	PUNCT
ejpam-5203	186	7	,	,	PUNCT
ejpam-5203	186	8	kr	kr	PROPN
ejpam-5203	186	9	(	(	PUNCT
ejpam-5203	186	10	1−	1−	NUM
ejpam-5203	186	11	(	(	PUNCT
ejpam-5203	186	12	ab)−2	ab)−2	NOUN
ejpam-5203	186	13	t	t	PROPN
ejpam-5203	186	14	)	)	PUNCT
ejpam-5203	186	15	(	(	PUNCT
ejpam-5203	186	16	a−t	a−t	NOUN
ejpam-5203	186	17	+	+	NOUN
ejpam-5203	186	18	λbt)r	λbt)r	PROPN
ejpam-5203	186	19	crxt	crxt	NOUN
ejpam-5203	186	20	=	=	PROPN
ejpam-5203	186	21	lik1,k2,k3,	lik1,k2,k3,	PROPN
ejpam-5203	186	22	...	...	PUNCT
ejpam-5203	186	23	,kr	,kr	PUNCT
ejpam-5203	186	24	(	(	PUNCT
ejpam-5203	186	25	1−	1−	NUM
ejpam-5203	186	26	(	(	PUNCT
ejpam-5203	186	27	ab)−2	ab)−2	NOUN
ejpam-5203	186	28	t	t	NOUN
ejpam-5203	186	29	)	)	PUNCT
ejpam-5203	186	30	(	(	PUNCT
ejpam-5203	186	31	(	(	PUNCT
ejpam-5203	186	32	a−t)(1	a−t)(1	PROPN
ejpam-5203	186	33	+	+	CCONJ
ejpam-5203	186	34	λ	λ	X
ejpam-5203	186	35	bt	bt	NOUN
ejpam-5203	186	36	a−t	a−t	NOUN
ejpam-5203	186	37	)	)	PUNCT
ejpam-5203	186	38	)	)	PUNCT
ejpam-5203	187	1	r	r	NOUN
ejpam-5203	187	2	crxt	crxt	NOUN
ejpam-5203	187	3	=	=	SYM
ejpam-5203	187	4	lik1,k2,k3,	lik1,k2,k3,	PROPN
ejpam-5203	187	5	...	...	PUNCT
ejpam-5203	187	6	,kr	,kr	PUNCT
ejpam-5203	187	7	(	(	PUNCT
ejpam-5203	187	8	1−	1−	NUM
ejpam-5203	187	9	(	(	PUNCT
ejpam-5203	187	10	ab)−2	ab)−2	NOUN
ejpam-5203	187	11	t	t	NOUN
ejpam-5203	187	12	)	)	PUNCT
ejpam-5203	187	13	(	(	PUNCT
ejpam-5203	187	14	1	1	NUM
ejpam-5203	187	15	+	+	NUM
ejpam-5203	187	16	λ(ab)t)r	λ(ab)t)r	PRON
ejpam-5203	187	17	crxtart	crxtart	NOUN
ejpam-5203	187	18	=	=	SYM
ejpam-5203	187	19	lik1,k2,k3,	lik1,k2,k3,	PROPN
ejpam-5203	187	20	...	...	PUNCT
ejpam-5203	187	21	,kr	,kr	PUNCT
ejpam-5203	187	22	(	(	PUNCT
ejpam-5203	187	23	1−	1−	NUM
ejpam-5203	187	24	(	(	PUNCT
ejpam-5203	187	25	e)−2	e)−2	NOUN
ejpam-5203	187	26	t	t	PROPN
ejpam-5203	187	27	ln	ln	PROPN
ejpam-5203	187	28	ab	ab	PROPN
ejpam-5203	187	29	)	)	PUNCT
ejpam-5203	187	30	(	(	PUNCT
ejpam-5203	187	31	1	1	NUM
ejpam-5203	187	32	+	+	CCONJ
ejpam-5203	187	33	λet	λet	VERB
ejpam-5203	187	34	ln	ln	ADJ
ejpam-5203	188	1	ab)r	ab)r	PROPN
ejpam-5203	188	2	erxt	erxt	X
ejpam-5203	188	3	ln	ln	PROPN
ejpam-5203	188	4	cert	cert	NOUN
ejpam-5203	188	5	ln	ln	ADP
ejpam-5203	188	6	a	a	DET
ejpam-5203	188	7	=	=	X
ejpam-5203	188	8	lik1,k2,k3,	lik1,k2,k3,	NOUN
ejpam-5203	188	9	...	...	PUNCT
ejpam-5203	188	10	,kr	,kr	PUNCT
ejpam-5203	188	11	(	(	PUNCT
ejpam-5203	188	12	1−	1−	NUM
ejpam-5203	188	13	(	(	PUNCT
ejpam-5203	188	14	e)−2	e)−2	NOUN
ejpam-5203	188	15	t	t	PROPN
ejpam-5203	188	16	ln	ln	PROPN
ejpam-5203	188	17	ab	ab	PROPN
ejpam-5203	188	18	)	)	PUNCT
ejpam-5203	188	19	(	(	PUNCT
ejpam-5203	188	20	1	1	NUM
ejpam-5203	188	21	+	+	NUM
ejpam-5203	188	22	λet	λet	VERB
ejpam-5203	188	23	ln	ln	ADJ
ejpam-5203	188	24	abt)r	abt)r	PROPN
ejpam-5203	188	25	et(rx	et(rx	PROPN
ejpam-5203	188	26	ln	ln	PROPN
ejpam-5203	188	27	c+r	c+r	NUM
ejpam-5203	188	28	ln	ln	NOUN
ejpam-5203	188	29	a	a	NOUN
ejpam-5203	188	30	)	)	PUNCT
ejpam-5203	188	31	let	let	VERB
ejpam-5203	188	32	z	z	NOUN
ejpam-5203	188	33	=	=	SYM
ejpam-5203	188	34	tlnab	tlnab	PROPN
ejpam-5203	188	35	,	,	PUNCT
ejpam-5203	188	36	then	then	ADV
ejpam-5203	188	37	t=	t=	PROPN
ejpam-5203	188	38	z	z	NOUN
ejpam-5203	188	39	lnab	lnab	VERB
ejpam-5203	188	40	.	.	PUNCT
ejpam-5203	189	1	thus	thus	ADV
ejpam-5203	189	2	we	we	PRON
ejpam-5203	189	3	have	have	VERB
ejpam-5203	189	4	,	,	PUNCT
ejpam-5203	189	5	∞∑	∞∑	DET
ejpam-5203	189	6	n=0	n=0	PROPN
ejpam-5203	189	7	g(k1,k2,k3	g(k1,k2,k3	ADJ
ejpam-5203	189	8	,	,	PUNCT
ejpam-5203	189	9	·	·	PUNCT
ejpam-5203	189	10	·	·	PUNCT
ejpam-5203	189	11	·	·	PUNCT
ejpam-5203	189	12	,	,	PUNCT
ejpam-5203	189	13	kr	kr	PROPN
ejpam-5203	189	14	)	)	PUNCT
ejpam-5203	189	15	n	n	CCONJ
ejpam-5203	189	16	(	(	PUNCT
ejpam-5203	189	17	x;λ	x;λ	PROPN
ejpam-5203	189	18	,	,	PUNCT
ejpam-5203	189	19	a	a	DET
ejpam-5203	189	20	,	,	PUNCT
ejpam-5203	189	21	b	b	NOUN
ejpam-5203	189	22	,	,	PUNCT
ejpam-5203	189	23	c	c	NOUN
ejpam-5203	189	24	)	)	PUNCT
ejpam-5203	189	25	tn	tn	PROPN
ejpam-5203	189	26	n	n	CCONJ
ejpam-5203	189	27	!	!	PUNCT
ejpam-5203	190	1	=	=	PUNCT
ejpam-5203	190	2	lik1,k2,k3,	lik1,k2,k3,	PROPN
ejpam-5203	190	3	...	...	PUNCT
ejpam-5203	190	4	,kr	,kr	PUNCT
ejpam-5203	190	5	(	(	PUNCT
ejpam-5203	190	6	1−	1−	NUM
ejpam-5203	190	7	(	(	PUNCT
ejpam-5203	190	8	e)−2z	e)−2z	X
ejpam-5203	190	9	)	)	PUNCT
ejpam-5203	190	10	(	(	PUNCT
ejpam-5203	190	11	1	1	NUM
ejpam-5203	190	12	+	+	NUM
ejpam-5203	190	13	λez)r	λez)r	PROPN
ejpam-5203	190	14	e	e	PROPN
ejpam-5203	190	15	z	z	PROPN
ejpam-5203	190	16	ln	ln	PROPN
ejpam-5203	190	17	ab	ab	PROPN
ejpam-5203	190	18	(	(	PUNCT
ejpam-5203	190	19	rx	rx	X
ejpam-5203	190	20	ln	ln	PROPN
ejpam-5203	190	21	c+r	c+r	NUM
ejpam-5203	190	22	ln	ln	NOUN
ejpam-5203	190	23	a	a	NOUN
ejpam-5203	190	24	)	)	PUNCT
ejpam-5203	190	25	=	=	SYM
ejpam-5203	190	26	lik1,k2,k3,	lik1,k2,k3,	PROPN
ejpam-5203	190	27	...	...	PUNCT
ejpam-5203	190	28	,kr	,kr	PUNCT
ejpam-5203	190	29	(	(	PUNCT
ejpam-5203	190	30	1−	1−	NUM
ejpam-5203	190	31	(	(	PUNCT
ejpam-5203	190	32	e)−2z	e)−2z	X
ejpam-5203	190	33	)	)	PUNCT
ejpam-5203	190	34	(	(	PUNCT
ejpam-5203	191	1	1	1	NUM
ejpam-5203	191	2	+	+	NUM
ejpam-5203	191	3	λez)r	λez)r	PROPN
ejpam-5203	191	4	e	e	X
ejpam-5203	191	5	(	(	PUNCT
ejpam-5203	191	6	rx	rx	VERB
ejpam-5203	191	7	ln	ln	ADV
ejpam-5203	191	8	c+r	c+r	NUM
ejpam-5203	192	1	ln	ln	ADV
ejpam-5203	193	1	a	a	DET
ejpam-5203	193	2	ln	ln	ADJ
ejpam-5203	193	3	ab	ab	PROPN
ejpam-5203	193	4	)	)	PUNCT
ejpam-5203	193	5	z	z	NOUN
ejpam-5203	193	6	=	=	PUNCT
ejpam-5203	194	1	∞∑	∞∑	PRON
ejpam-5203	194	2	n=0	n=0	NUM
ejpam-5203	194	3	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	194	4	...	...	PUNCT
ejpam-5203	194	5	,kr	,kr	SYM
ejpam-5203	194	6	)	)	PUNCT
ejpam-5203	194	7	n	n	CCONJ
ejpam-5203	194	8	(	(	PUNCT
ejpam-5203	194	9	rx	rx	VERB
ejpam-5203	194	10	ln	ln	ADJ
ejpam-5203	194	11	c+	c+	NOUN
ejpam-5203	195	1	r	r	NOUN
ejpam-5203	195	2	ln	ln	NOUN
ejpam-5203	195	3	a	a	DET
ejpam-5203	195	4	ln	ln	NOUN
ejpam-5203	195	5	ab	ab	NOUN
ejpam-5203	195	6	;	;	PUNCT
ejpam-5203	195	7	λ	λ	X
ejpam-5203	195	8	)	)	PUNCT
ejpam-5203	195	9	zn	zn	PROPN
ejpam-5203	195	10	n	n	CCONJ
ejpam-5203	195	11	!	!	PUNCT
ejpam-5203	195	12	=	=	PUNCT
ejpam-5203	196	1	∞∑	∞∑	DET
ejpam-5203	196	2	n=0	n=0	NUM
ejpam-5203	196	3	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	196	4	...	...	PUNCT
ejpam-5203	196	5	,kr	,kr	SYM
ejpam-5203	196	6	)	)	PUNCT
ejpam-5203	196	7	n	n	CCONJ
ejpam-5203	196	8	(	(	PUNCT
ejpam-5203	196	9	rx	rx	VERB
ejpam-5203	196	10	ln	ln	ADJ
ejpam-5203	196	11	c+	c+	NOUN
ejpam-5203	197	1	r	r	NOUN
ejpam-5203	197	2	ln	ln	NOUN
ejpam-5203	197	3	a	a	DET
ejpam-5203	197	4	ln	ln	NOUN
ejpam-5203	197	5	ab	ab	NOUN
ejpam-5203	197	6	;	;	PUNCT
ejpam-5203	197	7	λ	λ	X
ejpam-5203	197	8	)	)	PUNCT
ejpam-5203	197	9	(	(	PUNCT
ejpam-5203	197	10	t	t	PROPN
ejpam-5203	197	11	ln	ln	NOUN
ejpam-5203	197	12	ab)n	ab)n	PROPN
ejpam-5203	197	13	n	n	CCONJ
ejpam-5203	197	14	!	!	PUNCT
ejpam-5203	197	15	=	=	PUNCT
ejpam-5203	198	1	∞∑	∞∑	PRON
ejpam-5203	198	2	n=0	n=0	NUM
ejpam-5203	198	3	g(k1,k2,k3,	g(k1,k2,k3,	NOUN
ejpam-5203	198	4	...	...	PUNCT
ejpam-5203	198	5	,kr	,kr	SYM
ejpam-5203	198	6	)	)	PUNCT
ejpam-5203	198	7	n	n	CCONJ
ejpam-5203	198	8	(	(	PUNCT
ejpam-5203	198	9	rx	rx	VERB
ejpam-5203	198	10	ln	ln	ADJ
ejpam-5203	198	11	c+	c+	NOUN
ejpam-5203	199	1	r	r	NOUN
ejpam-5203	199	2	ln	ln	NOUN
ejpam-5203	199	3	a	a	DET
ejpam-5203	199	4	ln	ln	NOUN
ejpam-5203	199	5	ab	ab	NOUN
ejpam-5203	199	6	;	;	PUNCT
ejpam-5203	199	7	λ	λ	PROPN
ejpam-5203	199	8	)	)	PUNCT
ejpam-5203	199	9	(	(	PUNCT
ejpam-5203	199	10	t)n(ln	t)n(ln	X
ejpam-5203	199	11	ab)n	ab)n	PROPN
ejpam-5203	199	12	n	n	CCONJ
ejpam-5203	199	13	!	!	PUNCT
ejpam-5203	199	14	=	=	PUNCT
ejpam-5203	200	1	∞∑	∞∑	PRON
ejpam-5203	200	2	n=0	n=0	NUM
ejpam-5203	200	3	(	(	PUNCT
ejpam-5203	200	4	ln	ln	ADJ
ejpam-5203	200	5	a+	a+	PRON
ejpam-5203	200	6	ln	ln	ADJ
ejpam-5203	200	7	b)ng(k1,k2,k3,	b)ng(k1,k2,k3,	NOUN
ejpam-5203	200	8	...	...	PUNCT
ejpam-5203	200	9	,kr	,kr	X
ejpam-5203	200	10	)	)	PUNCT
ejpam-5203	200	11	n	n	CCONJ
ejpam-5203	200	12	(	(	PUNCT
ejpam-5203	200	13	rx	rx	VERB
ejpam-5203	200	14	ln	ln	ADJ
ejpam-5203	200	15	c+	c+	NOUN
ejpam-5203	200	16	r	r	NOUN
ejpam-5203	200	17	ln	ln	NOUN
ejpam-5203	200	18	a	a	DET
ejpam-5203	200	19	ln	ln	NOUN
ejpam-5203	200	20	ab	ab	NOUN
ejpam-5203	200	21	;	;	PUNCT
ejpam-5203	200	22	λ	λ	X
ejpam-5203	200	23	)	)	PUNCT
ejpam-5203	200	24	(	(	PUNCT
ejpam-5203	200	25	t)n	t)n	NOUN
ejpam-5203	200	26	n	n	CCONJ
ejpam-5203	200	27	!	!	X
ejpam-5203	200	28	comparing	compare	VERB
ejpam-5203	200	29	the	the	DET
ejpam-5203	200	30	coeffiecient	coeffiecient	NOUN
ejpam-5203	200	31	of	of	ADP
ejpam-5203	200	32	tn	tn	PROPN
ejpam-5203	200	33	n	n	CCONJ
ejpam-5203	200	34	!	!	PUNCT
ejpam-5203	201	1	we	we	PRON
ejpam-5203	201	2	obtain	obtain	VERB
ejpam-5203	201	3	the	the	DET
ejpam-5203	201	4	desired	desire	VERB
ejpam-5203	201	5	result	result	NOUN
ejpam-5203	201	6	.	.	PUNCT
ejpam-5203	202	1	therefore	therefore	ADV
ejpam-5203	202	2	,	,	PUNCT
ejpam-5203	202	3	g(k1,k2,k3,	g(k1,k2,k3,	PROPN
ejpam-5203	202	4	...	...	PUNCT
ejpam-5203	202	5	,kr	,kr	X
ejpam-5203	202	6	)	)	PUNCT
ejpam-5203	203	1	n	n	CCONJ
ejpam-5203	203	2	(	(	PUNCT
ejpam-5203	203	3	x;λ	x;λ	PROPN
ejpam-5203	203	4	,	,	PUNCT
ejpam-5203	203	5	a	a	DET
ejpam-5203	203	6	,	,	PUNCT
ejpam-5203	203	7	b	b	NOUN
ejpam-5203	203	8	,	,	PUNCT
ejpam-5203	203	9	c	c	NOUN
ejpam-5203	203	10	)	)	PUNCT
ejpam-5203	203	11	=	=	SYM
ejpam-5203	204	1	(	(	PUNCT
ejpam-5203	204	2	ln	ln	ADJ
ejpam-5203	204	3	a+	a+	PUNCT
ejpam-5203	204	4	ln	ln	PROPN
ejpam-5203	204	5	b)ng	b)ng	PROPN
ejpam-5203	204	6	(	(	PUNCT
ejpam-5203	204	7	k1,k2,k3,	k1,k2,k3,	NOUN
ejpam-5203	204	8	...	...	PUNCT
ejpam-5203	204	9	,kr	,kr	SYM
ejpam-5203	204	10	)	)	PUNCT
ejpam-5203	204	11	n	n	CCONJ
ejpam-5203	204	12	(	(	PUNCT
ejpam-5203	204	13	rx	rx	VERB
ejpam-5203	204	14	ln	ln	ADJ
ejpam-5203	204	15	c+	c+	NOUN
ejpam-5203	205	1	r	r	NOUN
ejpam-5203	205	2	ln	ln	NOUN
ejpam-5203	205	3	a	a	DET
ejpam-5203	205	4	ln	ln	NOUN
ejpam-5203	205	5	ab	ab	NOUN
ejpam-5203	205	6	;	;	PUNCT
ejpam-5203	205	7	λ	λ	PROPN
ejpam-5203	205	8	)	)	PUNCT
ejpam-5203	205	9	.	.	PUNCT
ejpam-5203	206	1	m.	m.	NOUN
ejpam-5203	206	2	laurente	laurente	PROPN
ejpam-5203	206	3	,	,	PUNCT
ejpam-5203	206	4	az	az	PROPN
ejpam-5203	206	5	d.	d.	PROPN
ejpam-5203	206	6	ababa	ababa	PROPN
ejpam-5203	206	7	/	/	SYM
ejpam-5203	206	8	eur	eur	PROPN
ejpam-5203	206	9	.	.	PUNCT
ejpam-5203	207	1	j.	j.	PROPN
ejpam-5203	207	2	pure	pure	PROPN
ejpam-5203	207	3	appl	appl	PROPN
ejpam-5203	207	4	.	.	PROPN
ejpam-5203	207	5	math	math	PROPN
ejpam-5203	207	6	,	,	PUNCT
ejpam-5203	207	7	18	18	NUM
ejpam-5203	207	8	(	(	PUNCT
ejpam-5203	207	9	4	4	NUM
ejpam-5203	207	10	)	)	PUNCT
ejpam-5203	207	11	(	(	PUNCT
ejpam-5203	207	12	2025	2025	NUM
ejpam-5203	207	13	)	)	PUNCT
ejpam-5203	207	14	,	,	PUNCT
ejpam-5203	207	15	5203	5203	NUM
ejpam-5203	207	16	10	10	NUM
ejpam-5203	207	17	of	of	ADP
ejpam-5203	207	18	19	19	NUM
ejpam-5203	207	19	the	the	DET
ejpam-5203	207	20	next	next	ADJ
ejpam-5203	207	21	theorem	theorem	NOUN
ejpam-5203	207	22	contains	contain	VERB
ejpam-5203	207	23	a	a	DET
ejpam-5203	207	24	kind	kind	NOUN
ejpam-5203	207	25	of	of	ADP
ejpam-5203	207	26	recurrence	recurrence	NOUN
ejpam-5203	207	27	relation	relation	NOUN
ejpam-5203	207	28	of	of	ADP
ejpam-5203	207	29	an	an	DET
ejpam-5203	207	30	apostol	apostol	NOUN
ejpam-5203	207	31	-	-	PUNCT
ejpam-5203	207	32	type	type	NOUN
ejpam-5203	207	33	of	of	ADP
ejpam-5203	207	34	multi	multi	ADJ
ejpam-5203	207	35	poly	poly	ADJ
ejpam-5203	207	36	-	-	PUNCT
ejpam-5203	207	37	genocchi	genocchi	NOUN
ejpam-5203	207	38	polynomials	polynomial	NOUN
ejpam-5203	207	39	.	.	PUNCT
ejpam-5203	208	1	theorem	theorem	VERB
ejpam-5203	208	2	4.3	4.3	NUM
ejpam-5203	208	3	.	.	PUNCT
ejpam-5203	209	1	an	an	DET
ejpam-5203	209	2	apostol	apostol	NOUN
ejpam-5203	209	3	-	-	PUNCT
ejpam-5203	209	4	type	type	NOUN
ejpam-5203	209	5	of	of	ADP
ejpam-5203	209	6	multi	multi	ADJ
ejpam-5203	209	7	poly	poly	ADJ
ejpam-5203	209	8	-	-	PUNCT
ejpam-5203	209	9	genocchi	genocchi	NOUN
ejpam-5203	209	10	polynomials	polynomial	NOUN
ejpam-5203	209	11	satisfy	satisfy	VERB
ejpam-5203	209	12	the	the	DET
ejpam-5203	209	13	recurrence	recurrence	NOUN
ejpam-5203	209	14	relation	relation	PROPN
ejpam-5203	209	15	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	209	16	...	...	PUNCT
ejpam-5203	209	17	,kr	,kr	SYM
ejpam-5203	209	18	)	)	PUNCT
ejpam-5203	210	1	n	n	CCONJ
ejpam-5203	210	2	(	(	PUNCT
ejpam-5203	210	3	x+	x+	PROPN
ejpam-5203	210	4	1;λ	1;λ	NUM
ejpam-5203	210	5	,	,	PUNCT
ejpam-5203	210	6	a	a	DET
ejpam-5203	210	7	,	,	PUNCT
ejpam-5203	210	8	b	b	NOUN
ejpam-5203	210	9	,	,	PUNCT
ejpam-5203	210	10	c	c	NOUN
ejpam-5203	210	11	)	)	PUNCT
ejpam-5203	210	12	=	=	SYM
ejpam-5203	211	1	n∑	n∑	PROPN
ejpam-5203	211	2	m=0	m=0	PROPN
ejpam-5203	211	3	(	(	PUNCT
ejpam-5203	211	4	n	n	NOUN
ejpam-5203	211	5	m	m	VERB
ejpam-5203	211	6	)	)	PUNCT
ejpam-5203	212	1	(	(	PUNCT
ejpam-5203	212	2	r	r	X
ejpam-5203	212	3	ln	ln	ADJ
ejpam-5203	212	4	c)mg(k1,k2,	c)mg(k1,k2,	PROPN
ejpam-5203	212	5	...	...	PUNCT
ejpam-5203	212	6	,kr	,kr	X
ejpam-5203	212	7	)	)	PUNCT
ejpam-5203	212	8	n−m	n−m	PROPN
ejpam-5203	212	9	(	(	PUNCT
ejpam-5203	212	10	x;λ	x;λ	NUM
ejpam-5203	212	11	,	,	PUNCT
ejpam-5203	212	12	a	a	DET
ejpam-5203	212	13	,	,	PUNCT
ejpam-5203	212	14	b	b	NOUN
ejpam-5203	212	15	,	,	PUNCT
ejpam-5203	212	16	c	c	NOUN
ejpam-5203	212	17	)	)	PUNCT
ejpam-5203	212	18	.	.	PUNCT
ejpam-5203	213	1	proof	proof	NOUN
ejpam-5203	213	2	.	.	PUNCT
ejpam-5203	214	1	by	by	ADP
ejpam-5203	214	2	the	the	DET
ejpam-5203	214	3	equation	equation	NOUN
ejpam-5203	214	4	(	(	PUNCT
ejpam-5203	214	5	19	19	NUM
ejpam-5203	214	6	)	)	PUNCT
ejpam-5203	214	7	in	in	ADP
ejpam-5203	214	8	definition	definition	NOUN
ejpam-5203	214	9	(	(	PUNCT
ejpam-5203	214	10	4.1	4.1	NUM
ejpam-5203	214	11	)	)	PUNCT
ejpam-5203	214	12	∞∑	∞∑	PRON
ejpam-5203	214	13	n=0	n=0	PUNCT
ejpam-5203	214	14	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	214	15	...	...	PUNCT
ejpam-5203	214	16	,kr	,kr	SYM
ejpam-5203	214	17	)	)	PUNCT
ejpam-5203	214	18	n	n	CCONJ
ejpam-5203	214	19	(	(	PUNCT
ejpam-5203	214	20	x+	x+	PROPN
ejpam-5203	214	21	1;λ	1;λ	NUM
ejpam-5203	214	22	,	,	PUNCT
ejpam-5203	214	23	a	a	DET
ejpam-5203	214	24	,	,	PUNCT
ejpam-5203	214	25	b	b	NOUN
ejpam-5203	214	26	,	,	PUNCT
ejpam-5203	214	27	c	c	NOUN
ejpam-5203	214	28	)	)	PUNCT
ejpam-5203	214	29	tn	tn	PROPN
ejpam-5203	214	30	n	n	CCONJ
ejpam-5203	214	31	!	!	PUNCT
ejpam-5203	214	32	=	=	PRON
ejpam-5203	214	33	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	214	34	...	...	PUNCT
ejpam-5203	214	35	,kr	,kr	PUNCT
ejpam-5203	214	36	(	(	PUNCT
ejpam-5203	214	37	1−	1−	NUM
ejpam-5203	214	38	(	(	PUNCT
ejpam-5203	214	39	ab)−2	ab)−2	NOUN
ejpam-5203	214	40	t	t	PROPN
ejpam-5203	214	41	)	)	PUNCT
ejpam-5203	214	42	(	(	PUNCT
ejpam-5203	214	43	a−t	a−t	NOUN
ejpam-5203	214	44	+	+	NOUN
ejpam-5203	214	45	λbt)r	λbt)r	PROPN
ejpam-5203	214	46	crt(x+1	crt(x+1	NOUN
ejpam-5203	214	47	)	)	PUNCT
ejpam-5203	214	48	=	=	SYM
ejpam-5203	214	49	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	214	50	...	...	PUNCT
ejpam-5203	214	51	,kr	,kr	PUNCT
ejpam-5203	214	52	(	(	PUNCT
ejpam-5203	214	53	1−	1−	NUM
ejpam-5203	214	54	(	(	PUNCT
ejpam-5203	214	55	ab)−2	ab)−2	NOUN
ejpam-5203	214	56	t	t	PROPN
ejpam-5203	214	57	)	)	PUNCT
ejpam-5203	214	58	(	(	PUNCT
ejpam-5203	214	59	a−t	a−t	NOUN
ejpam-5203	214	60	+	+	NOUN
ejpam-5203	214	61	λbt)r	λbt)r	PROPN
ejpam-5203	214	62	crxtcrt	crxtcrt	ADJ
ejpam-5203	214	63	=	=	PUNCT
ejpam-5203	214	64	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	214	65	...	...	PUNCT
ejpam-5203	214	66	,kr	,kr	PUNCT
ejpam-5203	214	67	(	(	PUNCT
ejpam-5203	214	68	1−	1−	NUM
ejpam-5203	214	69	(	(	PUNCT
ejpam-5203	214	70	ab)−2	ab)−2	NOUN
ejpam-5203	214	71	t	t	PROPN
ejpam-5203	214	72	)	)	PUNCT
ejpam-5203	214	73	(	(	PUNCT
ejpam-5203	214	74	a−t	a−t	NOUN
ejpam-5203	214	75	+	+	CCONJ
ejpam-5203	215	1	λbt)r	λbt)r	PROPN
ejpam-5203	215	2	erxt	erxt	PROPN
ejpam-5203	215	3	ln	ln	PROPN
ejpam-5203	215	4	cert	cert	NOUN
ejpam-5203	215	5	ln	ln	PROPN
ejpam-5203	215	6	c	c	PROPN
ejpam-5203	215	7	rewriting	rewrite	VERB
ejpam-5203	215	8	ert	ert	NOUN
ejpam-5203	215	9	ln	ln	NOUN
ejpam-5203	215	10	c	c	NOUN
ejpam-5203	215	11	=	=	PUNCT
ejpam-5203	216	1	∞∑	∞∑	PROPN
ejpam-5203	216	2	n=0	n=0	NUM
ejpam-5203	216	3	(	(	PUNCT
ejpam-5203	216	4	rt	rt	PROPN
ejpam-5203	216	5	ln	ln	PROPN
ejpam-5203	216	6	c)n	c)n	PROPN
ejpam-5203	216	7	n	n	CCONJ
ejpam-5203	216	8	!	!	PUNCT
ejpam-5203	217	1	as	as	ADP
ejpam-5203	217	2	exponential	exponential	ADJ
ejpam-5203	217	3	generating	generating	NOUN
ejpam-5203	217	4	function	function	NOUN
ejpam-5203	217	5	form	form	NOUN
ejpam-5203	217	6	so	so	SCONJ
ejpam-5203	217	7	we	we	PRON
ejpam-5203	217	8	have	have	VERB
ejpam-5203	217	9	,	,	PUNCT
ejpam-5203	217	10	∞∑	∞∑	PRON
ejpam-5203	217	11	n=0	n=0	NUM
ejpam-5203	217	12	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	217	13	...	...	PUNCT
ejpam-5203	217	14	,kr	,kr	SYM
ejpam-5203	217	15	)	)	PUNCT
ejpam-5203	218	1	n	n	CCONJ
ejpam-5203	218	2	(	(	PUNCT
ejpam-5203	218	3	x+	x+	PROPN
ejpam-5203	218	4	1;λ	1;λ	NUM
ejpam-5203	218	5	,	,	PUNCT
ejpam-5203	218	6	a	a	DET
ejpam-5203	218	7	,	,	PUNCT
ejpam-5203	218	8	b	b	NOUN
ejpam-5203	218	9	,	,	PUNCT
ejpam-5203	218	10	c	c	NOUN
ejpam-5203	218	11	)	)	PUNCT
ejpam-5203	218	12	tn	tn	PROPN
ejpam-5203	218	13	n	n	CCONJ
ejpam-5203	218	14	!	!	PUNCT
ejpam-5203	218	15	=	=	PUNCT
ejpam-5203	219	1	(	(	PUNCT
ejpam-5203	219	2	∞∑	∞∑	NUM
ejpam-5203	219	3	n=0	n=0	NUM
ejpam-5203	219	4	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	219	5	...	...	PUNCT
ejpam-5203	219	6	,kr	,kr	SYM
ejpam-5203	219	7	)	)	PUNCT
ejpam-5203	220	1	n	n	CCONJ
ejpam-5203	220	2	(	(	PUNCT
ejpam-5203	220	3	x;λ	x;λ	PROPN
ejpam-5203	220	4	,	,	PUNCT
ejpam-5203	220	5	a	a	DET
ejpam-5203	220	6	,	,	PUNCT
ejpam-5203	220	7	b	b	NOUN
ejpam-5203	220	8	,	,	PUNCT
ejpam-5203	220	9	c	c	NOUN
ejpam-5203	220	10	)	)	PUNCT
ejpam-5203	220	11	tn	tn	PROPN
ejpam-5203	220	12	n	n	CCONJ
ejpam-5203	220	13	!	!	PUNCT
ejpam-5203	220	14	)	)	PUNCT
ejpam-5203	221	1	(	(	PUNCT
ejpam-5203	221	2	∞∑	∞∑	NUM
ejpam-5203	221	3	n=0	n=0	PRON
ejpam-5203	221	4	(	(	PUNCT
ejpam-5203	221	5	rt	rt	PROPN
ejpam-5203	221	6	ln	ln	PROPN
ejpam-5203	221	7	c)n	c)n	PROPN
ejpam-5203	221	8	n	n	X
ejpam-5203	221	9	!	!	PUNCT
ejpam-5203	221	10	)	)	PUNCT
ejpam-5203	222	1	using	use	VERB
ejpam-5203	222	2	the	the	DET
ejpam-5203	222	3	product	product	NOUN
ejpam-5203	222	4	of	of	ADP
ejpam-5203	222	5	two	two	NUM
ejpam-5203	222	6	generating	generate	VERB
ejpam-5203	222	7	function	function	NOUN
ejpam-5203	222	8	,	,	PUNCT
ejpam-5203	222	9	so	so	SCONJ
ejpam-5203	222	10	we	we	PRON
ejpam-5203	222	11	have	have	VERB
ejpam-5203	222	12	,	,	PUNCT
ejpam-5203	222	13	∞∑	∞∑	PRON
ejpam-5203	222	14	n=0	n=0	NUM
ejpam-5203	222	15	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	222	16	...	...	PUNCT
ejpam-5203	222	17	,kr	,kr	SYM
ejpam-5203	222	18	)	)	PUNCT
ejpam-5203	223	1	n	n	CCONJ
ejpam-5203	223	2	(	(	PUNCT
ejpam-5203	223	3	x+	x+	PROPN
ejpam-5203	223	4	1;λ	1;λ	NUM
ejpam-5203	223	5	,	,	PUNCT
ejpam-5203	223	6	a	a	DET
ejpam-5203	223	7	,	,	PUNCT
ejpam-5203	223	8	b	b	NOUN
ejpam-5203	223	9	,	,	PUNCT
ejpam-5203	223	10	c	c	NOUN
ejpam-5203	223	11	)	)	PUNCT
ejpam-5203	223	12	tn	tn	PROPN
ejpam-5203	223	13	n	n	CCONJ
ejpam-5203	223	14	!	!	PUNCT
ejpam-5203	223	15	=	=	NOUN
ejpam-5203	224	1	∞∑	∞∑	PRON
ejpam-5203	224	2	n=0	n=0	NUM
ejpam-5203	224	3	n∑	n∑	PROPN
ejpam-5203	224	4	m=0	m=0	PROPN
ejpam-5203	224	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	224	6	...	...	PUNCT
ejpam-5203	224	7	,kr	,kr	SYM
ejpam-5203	224	8	)	)	PUNCT
ejpam-5203	224	9	n−m	n−m	PROPN
ejpam-5203	224	10	(	(	PUNCT
ejpam-5203	224	11	x;λ	x;λ	NUM
ejpam-5203	224	12	,	,	PUNCT
ejpam-5203	224	13	a	a	PRON
ejpam-5203	224	14	,	,	PUNCT
ejpam-5203	224	15	b	b	NOUN
ejpam-5203	224	16	,	,	PUNCT
ejpam-5203	224	17	c	c	NOUN
ejpam-5203	224	18	)	)	PUNCT
ejpam-5203	224	19	tn−m	tn−m	PROPN
ejpam-5203	224	20	(	(	PUNCT
ejpam-5203	224	21	n−m	n−m	PROPN
ejpam-5203	224	22	)	)	PUNCT
ejpam-5203	224	23	!	!	PUNCT
ejpam-5203	225	1	(	(	PUNCT
ejpam-5203	225	2	r	r	NOUN
ejpam-5203	225	3	ln	ln	X
ejpam-5203	225	4	c)mtm	c)mtm	PROPN
ejpam-5203	225	5	m	m	NOUN
ejpam-5203	225	6	!	!	PUNCT
ejpam-5203	225	7	=	=	NOUN
ejpam-5203	226	1	∞∑	∞∑	PRON
ejpam-5203	226	2	n=0	n=0	NUM
ejpam-5203	226	3	n∑	n∑	PROPN
ejpam-5203	226	4	m=0	m=0	PROPN
ejpam-5203	226	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	226	6	...	...	PUNCT
ejpam-5203	226	7	,kr	,kr	SYM
ejpam-5203	226	8	)	)	PUNCT
ejpam-5203	226	9	n−m	n−m	PROPN
ejpam-5203	226	10	(	(	PUNCT
ejpam-5203	226	11	x;λ	x;λ	NUM
ejpam-5203	226	12	,	,	PUNCT
ejpam-5203	226	13	a	a	PRON
ejpam-5203	226	14	,	,	PUNCT
ejpam-5203	226	15	b	b	NOUN
ejpam-5203	226	16	,	,	PUNCT
ejpam-5203	226	17	c	c	NOUN
ejpam-5203	226	18	)	)	PUNCT
ejpam-5203	226	19	tn−m	tn−m	PROPN
ejpam-5203	226	20	(	(	PUNCT
ejpam-5203	226	21	n−m	n−m	PROPN
ejpam-5203	226	22	)	)	PUNCT
ejpam-5203	226	23	!	!	PUNCT
ejpam-5203	227	1	(	(	PUNCT
ejpam-5203	227	2	r	r	NOUN
ejpam-5203	227	3	ln	ln	X
ejpam-5203	227	4	c)mtm	c)mtm	PROPN
ejpam-5203	227	5	m	m	PROPN
ejpam-5203	227	6	!	!	PUNCT
ejpam-5203	227	7	n	n	CCONJ
ejpam-5203	227	8	!	!	PUNCT
ejpam-5203	227	9	n	n	CCONJ
ejpam-5203	227	10	!	!	PUNCT
ejpam-5203	227	11	=	=	NOUN
ejpam-5203	228	1	∞∑	∞∑	PRON
ejpam-5203	228	2	n=0	n=0	NUM
ejpam-5203	228	3	(	(	PUNCT
ejpam-5203	228	4	n∑	n∑	PROPN
ejpam-5203	228	5	m=0	m=0	PROPN
ejpam-5203	228	6	(	(	PUNCT
ejpam-5203	228	7	n	n	NOUN
ejpam-5203	228	8	m	m	VERB
ejpam-5203	228	9	)	)	PUNCT
ejpam-5203	229	1	(	(	PUNCT
ejpam-5203	229	2	r	r	X
ejpam-5203	229	3	ln	ln	ADJ
ejpam-5203	229	4	c)mg(k1,k2,	c)mg(k1,k2,	PROPN
ejpam-5203	229	5	...	...	PUNCT
ejpam-5203	229	6	,kr	,kr	X
ejpam-5203	229	7	)	)	PUNCT
ejpam-5203	229	8	n−m	n−m	PROPN
ejpam-5203	229	9	(	(	PUNCT
ejpam-5203	229	10	x;λ	x;λ	NUM
ejpam-5203	229	11	,	,	PUNCT
ejpam-5203	229	12	a	a	DET
ejpam-5203	229	13	,	,	PUNCT
ejpam-5203	229	14	b	b	NOUN
ejpam-5203	229	15	,	,	PUNCT
ejpam-5203	229	16	c	c	NOUN
ejpam-5203	229	17	)	)	PUNCT
ejpam-5203	229	18	)	)	PUNCT
ejpam-5203	229	19	tn	tn	PROPN
ejpam-5203	230	1	n	n	PROPN
ejpam-5203	230	2	!	!	PUNCT
ejpam-5203	230	3	.	.	PUNCT
ejpam-5203	231	1	comparing	compare	VERB
ejpam-5203	231	2	the	the	DET
ejpam-5203	231	3	coeffiecient	coeffiecient	NOUN
ejpam-5203	231	4	of	of	ADP
ejpam-5203	231	5	tn	tn	PROPN
ejpam-5203	231	6	n	n	AUX
ejpam-5203	231	7	!	!	PUNCT
ejpam-5203	232	1	we	we	PRON
ejpam-5203	232	2	obtain	obtain	VERB
ejpam-5203	232	3	the	the	DET
ejpam-5203	232	4	desired	desire	VERB
ejpam-5203	232	5	result	result	NOUN
ejpam-5203	232	6	.	.	PUNCT
ejpam-5203	233	1	therefore	therefore	ADV
ejpam-5203	233	2	,	,	PUNCT
ejpam-5203	233	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	233	4	...	...	PUNCT
ejpam-5203	233	5	,kr	,kr	SYM
ejpam-5203	233	6	)	)	PUNCT
ejpam-5203	233	7	n	n	CCONJ
ejpam-5203	233	8	(	(	PUNCT
ejpam-5203	233	9	x+	x+	PROPN
ejpam-5203	233	10	1;λ	1;λ	NUM
ejpam-5203	233	11	,	,	PUNCT
ejpam-5203	233	12	a	a	DET
ejpam-5203	233	13	,	,	PUNCT
ejpam-5203	233	14	b	b	NOUN
ejpam-5203	233	15	,	,	PUNCT
ejpam-5203	233	16	c	c	NOUN
ejpam-5203	233	17	)	)	PUNCT
ejpam-5203	233	18	=	=	SYM
ejpam-5203	234	1	∑n	∑n	PROPN
ejpam-5203	234	2	m=0	m=0	PROPN
ejpam-5203	234	3	(	(	PUNCT
ejpam-5203	234	4	n	n	NOUN
ejpam-5203	234	5	m	m	VERB
ejpam-5203	234	6	)	)	PUNCT
ejpam-5203	235	1	(	(	PUNCT
ejpam-5203	235	2	r	r	X
ejpam-5203	235	3	ln	ln	ADJ
ejpam-5203	235	4	c)mg(k1,k2,	c)mg(k1,k2,	PROPN
ejpam-5203	235	5	...	...	PUNCT
ejpam-5203	235	6	,kr	,kr	X
ejpam-5203	235	7	)	)	PUNCT
ejpam-5203	235	8	n−m	n−m	PROPN
ejpam-5203	235	9	(	(	PUNCT
ejpam-5203	235	10	x;λ	x;λ	NUM
ejpam-5203	235	11	,	,	PUNCT
ejpam-5203	235	12	a	a	DET
ejpam-5203	235	13	,	,	PUNCT
ejpam-5203	235	14	b	b	NOUN
ejpam-5203	235	15	,	,	PUNCT
ejpam-5203	235	16	c	c	NOUN
ejpam-5203	235	17	)	)	PUNCT
ejpam-5203	235	18	.	.	PUNCT
ejpam-5203	236	1	theorem	theorem	VERB
ejpam-5203	236	2	4.4	4.4	NUM
ejpam-5203	236	3	.	.	PUNCT
ejpam-5203	237	1	an	an	DET
ejpam-5203	237	2	apostol	apostol	NOUN
ejpam-5203	237	3	-	-	PUNCT
ejpam-5203	237	4	type	type	NOUN
ejpam-5203	237	5	of	of	ADP
ejpam-5203	237	6	multi	multi	ADJ
ejpam-5203	237	7	poly	poly	ADJ
ejpam-5203	237	8	-	-	PUNCT
ejpam-5203	237	9	genocchi	genocchi	NOUN
ejpam-5203	237	10	polynomials	polynomial	NOUN
ejpam-5203	237	11	satisfy	satisfy	VERB
ejpam-5203	237	12	the	the	DET
ejpam-5203	237	13	relation	relation	NOUN
ejpam-5203	237	14	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	237	15	...	...	PUNCT
ejpam-5203	237	16	,kr	,kr	SYM
ejpam-5203	237	17	)	)	PUNCT
ejpam-5203	238	1	n	n	CCONJ
ejpam-5203	238	2	(	(	PUNCT
ejpam-5203	238	3	x;λ	x;λ	PROPN
ejpam-5203	238	4	,	,	PUNCT
ejpam-5203	238	5	a	a	DET
ejpam-5203	238	6	,	,	PUNCT
ejpam-5203	238	7	b	b	NOUN
ejpam-5203	238	8	,	,	PUNCT
ejpam-5203	238	9	c	c	NOUN
ejpam-5203	238	10	)	)	PUNCT
ejpam-5203	238	11	=	=	SYM
ejpam-5203	238	12	n∑	n∑	PROPN
ejpam-5203	238	13	i=0	i=0	PROPN
ejpam-5203	238	14	(	(	PUNCT
ejpam-5203	238	15	n	n	NOUN
ejpam-5203	238	16	i	i	PRON
ejpam-5203	238	17	)	)	PUNCT
ejpam-5203	239	1	(	(	PUNCT
ejpam-5203	239	2	r	r	X
ejpam-5203	239	3	ln	ln	ADJ
ejpam-5203	239	4	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-5203	239	5	...	...	PUNCT
ejpam-5203	239	6	,kr	,kr	X
ejpam-5203	239	7	)	)	PUNCT
ejpam-5203	240	1	i	i	PRON
ejpam-5203	240	2	(	(	PUNCT
ejpam-5203	240	3	λ	λ	PROPN
ejpam-5203	240	4	,	,	PUNCT
ejpam-5203	240	5	a	a	DET
ejpam-5203	240	6	,	,	PUNCT
ejpam-5203	240	7	b)xn−i	b)xn−i	NOUN
ejpam-5203	240	8	,	,	PUNCT
ejpam-5203	240	9	x	x	PUNCT
ejpam-5203	240	10	̸=	̸=	PROPN
ejpam-5203	240	11	0	0	NUM
ejpam-5203	240	12	.	.	PUNCT
ejpam-5203	240	13	m.	m.	NOUN
ejpam-5203	240	14	laurente	laurente	PROPN
ejpam-5203	240	15	,	,	PUNCT
ejpam-5203	240	16	az	az	PROPN
ejpam-5203	240	17	d.	d.	PROPN
ejpam-5203	240	18	ababa	ababa	PROPN
ejpam-5203	240	19	/	/	SYM
ejpam-5203	240	20	eur	eur	PROPN
ejpam-5203	240	21	.	.	PUNCT
ejpam-5203	241	1	j.	j.	PROPN
ejpam-5203	241	2	pure	pure	PROPN
ejpam-5203	241	3	appl	appl	PROPN
ejpam-5203	241	4	.	.	PROPN
ejpam-5203	241	5	math	math	PROPN
ejpam-5203	241	6	,	,	PUNCT
ejpam-5203	241	7	18	18	NUM
ejpam-5203	241	8	(	(	PUNCT
ejpam-5203	241	9	4	4	NUM
ejpam-5203	241	10	)	)	PUNCT
ejpam-5203	241	11	(	(	PUNCT
ejpam-5203	241	12	2025	2025	NUM
ejpam-5203	241	13	)	)	PUNCT
ejpam-5203	241	14	,	,	PUNCT
ejpam-5203	241	15	5203	5203	NUM
ejpam-5203	241	16	11	11	NUM
ejpam-5203	241	17	of	of	ADP
ejpam-5203	241	18	19	19	NUM
ejpam-5203	241	19	proof	proof	NOUN
ejpam-5203	241	20	.	.	PUNCT
ejpam-5203	242	1	using	use	VERB
ejpam-5203	242	2	equation	equation	NOUN
ejpam-5203	242	3	(	(	PUNCT
ejpam-5203	242	4	19	19	NUM
ejpam-5203	242	5	)	)	PUNCT
ejpam-5203	242	6	of	of	ADP
ejpam-5203	242	7	definition	definition	NOUN
ejpam-5203	242	8	(	(	PUNCT
ejpam-5203	242	9	4.1	4.1	NUM
ejpam-5203	242	10	)	)	PUNCT
ejpam-5203	242	11	can	can	AUX
ejpam-5203	242	12	be	be	AUX
ejpam-5203	242	13	written	write	VERB
ejpam-5203	242	14	as	as	ADP
ejpam-5203	242	15	∞∑	∞∑	NUM
ejpam-5203	242	16	n=0	n=0	NUM
ejpam-5203	242	17	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	242	18	...	...	PUNCT
ejpam-5203	242	19	,kr	,kr	SYM
ejpam-5203	242	20	)	)	PUNCT
ejpam-5203	243	1	n	n	CCONJ
ejpam-5203	243	2	(	(	PUNCT
ejpam-5203	243	3	x;λ	x;λ	PROPN
ejpam-5203	243	4	,	,	PUNCT
ejpam-5203	243	5	a	a	DET
ejpam-5203	243	6	,	,	PUNCT
ejpam-5203	243	7	b	b	NOUN
ejpam-5203	243	8	,	,	PUNCT
ejpam-5203	243	9	c	c	NOUN
ejpam-5203	243	10	)	)	PUNCT
ejpam-5203	243	11	tn	tn	PROPN
ejpam-5203	243	12	n	n	CCONJ
ejpam-5203	243	13	!	!	PUNCT
ejpam-5203	244	1	=	=	PRON
ejpam-5203	244	2	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	244	3	...	...	PUNCT
ejpam-5203	244	4	,kr	,kr	PUNCT
ejpam-5203	244	5	(	(	PUNCT
ejpam-5203	244	6	1−	1−	NUM
ejpam-5203	244	7	(	(	PUNCT
ejpam-5203	244	8	ab)−2	ab)−2	NOUN
ejpam-5203	244	9	t	t	PROPN
ejpam-5203	244	10	)	)	PUNCT
ejpam-5203	244	11	(	(	PUNCT
ejpam-5203	244	12	a−t	a−t	NOUN
ejpam-5203	244	13	+	+	CCONJ
ejpam-5203	244	14	λbt)r	λbt)r	PROPN
ejpam-5203	244	15	erxt	erxt	VERB
ejpam-5203	244	16	ln	ln	NOUN
ejpam-5203	244	17	c	c	PROPN
ejpam-5203	245	1	=	=	PUNCT
ejpam-5203	246	1	erxt	erxt	PROPN
ejpam-5203	247	1	ln	ln	NOUN
ejpam-5203	248	1	c	c	PROPN
ejpam-5203	249	1	∞∑	∞∑	PROPN
ejpam-5203	249	2	n=0	n=0	PUNCT
ejpam-5203	249	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	249	4	...	...	PUNCT
ejpam-5203	249	5	,kr	,kr	SYM
ejpam-5203	249	6	)	)	PUNCT
ejpam-5203	250	1	n	n	CCONJ
ejpam-5203	250	2	(	(	PUNCT
ejpam-5203	250	3	λ	λ	PROPN
ejpam-5203	250	4	,	,	PUNCT
ejpam-5203	250	5	a	a	DET
ejpam-5203	250	6	,	,	PUNCT
ejpam-5203	250	7	b	b	NOUN
ejpam-5203	250	8	)	)	PUNCT
ejpam-5203	250	9	tn	tn	NOUN
ejpam-5203	250	10	n	n	NOUN
ejpam-5203	250	11	!	!	PUNCT
ejpam-5203	250	12	=	=	PUNCT
ejpam-5203	251	1	∞∑	∞∑	PRON
ejpam-5203	251	2	n=0	n=0	NUM
ejpam-5203	251	3	(	(	PUNCT
ejpam-5203	251	4	rxt	rxt	PROPN
ejpam-5203	251	5	ln	ln	PROPN
ejpam-5203	251	6	c)n	c)n	PROPN
ejpam-5203	251	7	n	n	CCONJ
ejpam-5203	251	8	!	!	PUNCT
ejpam-5203	252	1	∞∑	∞∑	ADJ
ejpam-5203	252	2	n=0	n=0	PUNCT
ejpam-5203	252	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	252	4	...	...	PUNCT
ejpam-5203	252	5	,kr	,kr	SYM
ejpam-5203	252	6	)	)	PUNCT
ejpam-5203	253	1	n	n	CCONJ
ejpam-5203	253	2	(	(	PUNCT
ejpam-5203	253	3	λ	λ	PROPN
ejpam-5203	253	4	,	,	PUNCT
ejpam-5203	253	5	a	a	DET
ejpam-5203	253	6	,	,	PUNCT
ejpam-5203	253	7	b	b	NOUN
ejpam-5203	253	8	)	)	PUNCT
ejpam-5203	253	9	tn	tn	NOUN
ejpam-5203	253	10	n	n	NOUN
ejpam-5203	253	11	!	!	PUNCT
ejpam-5203	253	12	=	=	NOUN
ejpam-5203	254	1	∞∑	∞∑	PRON
ejpam-5203	254	2	n=0	n=0	NUM
ejpam-5203	254	3	n∑	n∑	NOUN
ejpam-5203	254	4	i=0	i=0	PROPN
ejpam-5203	254	5	(	(	PUNCT
ejpam-5203	254	6	rxt	rxt	PROPN
ejpam-5203	254	7	ln	ln	ADJ
ejpam-5203	254	8	c)n−i	c)n−i	X
ejpam-5203	254	9	(	(	PUNCT
ejpam-5203	254	10	n−	n−	NOUN
ejpam-5203	254	11	i	i	NOUN
ejpam-5203	254	12	)	)	PUNCT
ejpam-5203	254	13	!	!	PUNCT
ejpam-5203	255	1	g(k1,k2,	g(k1,k2,	PUNCT
ejpam-5203	255	2	...	...	PUNCT
ejpam-5203	255	3	,kr	,kr	X
ejpam-5203	255	4	)	)	PUNCT
ejpam-5203	256	1	i	i	PRON
ejpam-5203	256	2	(	(	PUNCT
ejpam-5203	256	3	λ	λ	PROPN
ejpam-5203	256	4	,	,	PUNCT
ejpam-5203	256	5	a	a	PRON
ejpam-5203	256	6	,	,	PUNCT
ejpam-5203	256	7	b	b	NOUN
ejpam-5203	256	8	)	)	PUNCT
ejpam-5203	256	9	ti	ti	NOUN
ejpam-5203	256	10	i	i	PRON
ejpam-5203	256	11	!	!	PUNCT
ejpam-5203	256	12	=	=	PUNCT
ejpam-5203	257	1	∞∑	∞∑	NUM
ejpam-5203	257	2	n=0	n=0	NUM
ejpam-5203	257	3	(	(	PUNCT
ejpam-5203	257	4	n∑	n∑	PROPN
ejpam-5203	257	5	i=0	i=0	PROPN
ejpam-5203	257	6	(	(	PUNCT
ejpam-5203	257	7	xr	xr	PROPN
ejpam-5203	257	8	ln	ln	PROPN
ejpam-5203	257	9	c)n−i	c)n−i	PROPN
ejpam-5203	257	10	tn−i	tn−i	NOUN
ejpam-5203	257	11	(	(	PUNCT
ejpam-5203	257	12	n−	n−	NOUN
ejpam-5203	257	13	i	i	NOUN
ejpam-5203	257	14	)	)	PUNCT
ejpam-5203	257	15	!	!	PUNCT
ejpam-5203	258	1	g(k1,k2,	g(k1,k2,	PUNCT
ejpam-5203	258	2	...	...	PUNCT
ejpam-5203	258	3	,kr	,kr	SYM
ejpam-5203	258	4	)	)	PUNCT
ejpam-5203	259	1	r	r	NOUN
ejpam-5203	259	2	(	(	PUNCT
ejpam-5203	259	3	λ	λ	PROPN
ejpam-5203	259	4	,	,	PUNCT
ejpam-5203	259	5	a	a	PRON
ejpam-5203	259	6	,	,	PUNCT
ejpam-5203	259	7	b	b	NOUN
ejpam-5203	259	8	)	)	PUNCT
ejpam-5203	259	9	ti	ti	NOUN
ejpam-5203	259	10	i	i	PRON
ejpam-5203	259	11	!	!	PUNCT
ejpam-5203	259	12	)	)	PUNCT
ejpam-5203	260	1	=	=	PUNCT
ejpam-5203	261	1	∞∑	∞∑	NUM
ejpam-5203	261	2	n=0	n=0	NUM
ejpam-5203	261	3	(	(	PUNCT
ejpam-5203	261	4	n∑	n∑	PROPN
ejpam-5203	261	5	i=0	i=0	PROPN
ejpam-5203	261	6	(	(	PUNCT
ejpam-5203	261	7	xr	xr	PROPN
ejpam-5203	261	8	ln	ln	PROPN
ejpam-5203	261	9	c)n−i	c)n−i	PROPN
ejpam-5203	261	10	tn−i	tn−i	NOUN
ejpam-5203	261	11	(	(	PUNCT
ejpam-5203	261	12	n−	n−	NOUN
ejpam-5203	261	13	i	i	NOUN
ejpam-5203	261	14	)	)	PUNCT
ejpam-5203	261	15	!	!	PUNCT
ejpam-5203	262	1	g(k1,k2,	g(k1,k2,	PUNCT
ejpam-5203	262	2	...	...	PUNCT
ejpam-5203	262	3	,kr	,kr	SYM
ejpam-5203	262	4	)	)	PUNCT
ejpam-5203	263	1	r	r	NOUN
ejpam-5203	263	2	(	(	PUNCT
ejpam-5203	263	3	λ	λ	PROPN
ejpam-5203	263	4	,	,	PUNCT
ejpam-5203	263	5	a	a	PRON
ejpam-5203	263	6	,	,	PUNCT
ejpam-5203	263	7	b	b	NOUN
ejpam-5203	263	8	)	)	PUNCT
ejpam-5203	263	9	ti	ti	NOUN
ejpam-5203	263	10	i	i	PROPN
ejpam-5203	263	11	!	!	PUNCT
ejpam-5203	263	12	n	n	CCONJ
ejpam-5203	263	13	!	!	NUM
ejpam-5203	263	14	n	n	CCONJ
ejpam-5203	263	15	!	!	PUNCT
ejpam-5203	263	16	)	)	PUNCT
ejpam-5203	264	1	=	=	PUNCT
ejpam-5203	265	1	∞∑	∞∑	NUM
ejpam-5203	265	2	n=0	n=0	NUM
ejpam-5203	265	3	(	(	PUNCT
ejpam-5203	265	4	n∑	n∑	NOUN
ejpam-5203	265	5	i=0	i=0	PROPN
ejpam-5203	265	6	(	(	PUNCT
ejpam-5203	265	7	n	n	NOUN
ejpam-5203	265	8	i	i	PRON
ejpam-5203	265	9	)	)	PUNCT
ejpam-5203	265	10	(	(	PUNCT
ejpam-5203	265	11	r	r	X
ejpam-5203	265	12	ln	ln	ADJ
ejpam-5203	265	13	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-5203	265	14	...	...	PUNCT
ejpam-5203	265	15	,kr	,kr	X
ejpam-5203	265	16	)	)	PUNCT
ejpam-5203	266	1	i	i	PRON
ejpam-5203	266	2	(	(	PUNCT
ejpam-5203	266	3	λ	λ	PROPN
ejpam-5203	266	4	,	,	PUNCT
ejpam-5203	266	5	a	a	PRON
ejpam-5203	266	6	,	,	PUNCT
ejpam-5203	266	7	b)xn−i	b)xn−i	NOUN
ejpam-5203	266	8	)	)	PUNCT
ejpam-5203	266	9	tn	tn	PROPN
ejpam-5203	266	10	n	n	X
ejpam-5203	266	11	!	!	PUNCT
ejpam-5203	266	12	.	.	PUNCT
ejpam-5203	267	1	comparing	compare	VERB
ejpam-5203	267	2	the	the	DET
ejpam-5203	267	3	coefficients	coefficient	NOUN
ejpam-5203	267	4	of	of	ADP
ejpam-5203	267	5	tn	tn	NOUN
ejpam-5203	267	6	n	n	CCONJ
ejpam-5203	267	7	!	!	PROPN
ejpam-5203	268	1	,	,	PUNCT
ejpam-5203	268	2	we	we	PRON
ejpam-5203	268	3	obtain	obtain	VERB
ejpam-5203	268	4	the	the	DET
ejpam-5203	268	5	desired	desire	VERB
ejpam-5203	268	6	result	result	NOUN
ejpam-5203	268	7	.	.	PUNCT
ejpam-5203	269	1	therefore	therefore	ADV
ejpam-5203	269	2	,	,	PUNCT
ejpam-5203	269	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	269	4	...	...	PUNCT
ejpam-5203	269	5	,kr	,kr	SYM
ejpam-5203	269	6	)	)	PUNCT
ejpam-5203	269	7	n	n	CCONJ
ejpam-5203	269	8	(	(	PUNCT
ejpam-5203	269	9	x;λ	x;λ	PROPN
ejpam-5203	269	10	,	,	PUNCT
ejpam-5203	269	11	a	a	DET
ejpam-5203	269	12	,	,	PUNCT
ejpam-5203	269	13	b	b	NOUN
ejpam-5203	269	14	,	,	PUNCT
ejpam-5203	269	15	c	c	NOUN
ejpam-5203	269	16	)	)	PUNCT
ejpam-5203	270	1	=	=	SYM
ejpam-5203	270	2	∑n	∑n	PROPN
ejpam-5203	270	3	i=0	i=0	PROPN
ejpam-5203	270	4	(	(	PUNCT
ejpam-5203	270	5	n	n	NOUN
ejpam-5203	270	6	i	i	PRON
ejpam-5203	270	7	)	)	PUNCT
ejpam-5203	271	1	(	(	PUNCT
ejpam-5203	271	2	r	r	X
ejpam-5203	271	3	ln	ln	ADJ
ejpam-5203	271	4	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-5203	271	5	...	...	PUNCT
ejpam-5203	271	6	,kr	,kr	X
ejpam-5203	271	7	)	)	PUNCT
ejpam-5203	272	1	i	i	PRON
ejpam-5203	272	2	(	(	PUNCT
ejpam-5203	272	3	λ	λ	PROPN
ejpam-5203	272	4	,	,	PUNCT
ejpam-5203	272	5	a	a	DET
ejpam-5203	272	6	,	,	PUNCT
ejpam-5203	272	7	b)xn−i	b)xn−i	NOUN
ejpam-5203	272	8	.	.	PUNCT
ejpam-5203	273	1	the	the	DET
ejpam-5203	273	2	following	follow	VERB
ejpam-5203	273	3	theorem	theorem	NOUN
ejpam-5203	273	4	contains	contain	VERB
ejpam-5203	273	5	a	a	DET
ejpam-5203	273	6	differential	differential	ADJ
ejpam-5203	273	7	equation	equation	NOUN
ejpam-5203	273	8	that	that	PRON
ejpam-5203	273	9	can	can	AUX
ejpam-5203	273	10	be	be	AUX
ejpam-5203	273	11	used	use	VERB
ejpam-5203	273	12	to	to	PART
ejpam-5203	273	13	classify	classify	VERB
ejpam-5203	273	14	an	an	DET
ejpam-5203	273	15	apostol	apostol	NOUN
ejpam-5203	273	16	-	-	PUNCT
ejpam-5203	273	17	type	type	NOUN
ejpam-5203	273	18	of	of	ADP
ejpam-5203	273	19	multi	multi	ADJ
ejpam-5203	273	20	poly	poly	ADJ
ejpam-5203	273	21	-	-	PUNCT
ejpam-5203	273	22	genocchi	genocchi	NOUN
ejpam-5203	273	23	polynomials	polynomial	NOUN
ejpam-5203	273	24	as	as	ADP
ejpam-5203	273	25	appell	appell	ADJ
ejpam-5203	273	26	polynomials	polynomial	NOUN
ejpam-5203	273	27	[	[	X
ejpam-5203	273	28	12	12	NUM
ejpam-5203	273	29	]	]	PUNCT
ejpam-5203	273	30	.	.	PUNCT
ejpam-5203	274	1	theorem	theorem	VERB
ejpam-5203	274	2	4.5	4.5	NUM
ejpam-5203	274	3	.	.	PUNCT
ejpam-5203	275	1	an	an	DET
ejpam-5203	275	2	apostol	apostol	NOUN
ejpam-5203	275	3	-	-	PUNCT
ejpam-5203	275	4	type	type	NOUN
ejpam-5203	275	5	of	of	ADP
ejpam-5203	275	6	multi	multi	ADJ
ejpam-5203	275	7	poly	poly	ADJ
ejpam-5203	275	8	-	-	PUNCT
ejpam-5203	275	9	genocchi	genocchi	NOUN
ejpam-5203	275	10	polynomials	polynomial	NOUN
ejpam-5203	275	11	satisfy	satisfy	VERB
ejpam-5203	275	12	the	the	DET
ejpam-5203	275	13	relation	relation	NOUN
ejpam-5203	275	14	d	d	PROPN
ejpam-5203	275	15	dx	dx	PROPN
ejpam-5203	275	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	275	17	...	...	PUNCT
ejpam-5203	275	18	,kr	,kr	X
ejpam-5203	275	19	)	)	PUNCT
ejpam-5203	276	1	n+1	n+1	PROPN
ejpam-5203	276	2	(	(	PUNCT
ejpam-5203	276	3	x;λ	x;λ	PROPN
ejpam-5203	276	4	,	,	PUNCT
ejpam-5203	276	5	a	a	DET
ejpam-5203	276	6	,	,	PUNCT
ejpam-5203	276	7	b	b	NOUN
ejpam-5203	276	8	,	,	PUNCT
ejpam-5203	276	9	c	c	NOUN
ejpam-5203	276	10	)	)	PUNCT
ejpam-5203	276	11	=	=	SYM
ejpam-5203	277	1	(	(	PUNCT
ejpam-5203	277	2	n+	n+	NUM
ejpam-5203	277	3	1)(r	1)(r	NUM
ejpam-5203	277	4	ln	ln	ADJ
ejpam-5203	277	5	c)g(k1,k2,	c)g(k1,k2,	NOUN
ejpam-5203	277	6	...	...	PUNCT
ejpam-5203	277	7	,kr	,kr	SYM
ejpam-5203	277	8	)	)	PUNCT
ejpam-5203	277	9	n	n	CCONJ
ejpam-5203	277	10	(	(	PUNCT
ejpam-5203	277	11	x;λ	x;λ	PROPN
ejpam-5203	277	12	,	,	PUNCT
ejpam-5203	277	13	a	a	DET
ejpam-5203	277	14	,	,	PUNCT
ejpam-5203	277	15	b	b	NOUN
ejpam-5203	277	16	,	,	PUNCT
ejpam-5203	277	17	c	c	NOUN
ejpam-5203	277	18	)	)	PUNCT
ejpam-5203	277	19	.	.	PUNCT
ejpam-5203	278	1	(	(	PUNCT
ejpam-5203	278	2	26	26	NUM
ejpam-5203	278	3	)	)	PUNCT
ejpam-5203	278	4	proof	proof	NOUN
ejpam-5203	278	5	.	.	PUNCT
ejpam-5203	279	1	by	by	ADP
ejpam-5203	279	2	applying	apply	VERB
ejpam-5203	279	3	the	the	DET
ejpam-5203	279	4	first	first	ADJ
ejpam-5203	279	5	derivative	derivative	NOUN
ejpam-5203	279	6	to	to	ADP
ejpam-5203	279	7	equation	equation	NOUN
ejpam-5203	279	8	(	(	PUNCT
ejpam-5203	279	9	4.1	4.1	NUM
ejpam-5203	279	10	)	)	PUNCT
ejpam-5203	279	11	,	,	PUNCT
ejpam-5203	279	12	with	with	ADP
ejpam-5203	279	13	respect	respect	NOUN
ejpam-5203	279	14	to	to	ADP
ejpam-5203	279	15	x	x	NOUN
ejpam-5203	279	16	we	we	PRON
ejpam-5203	279	17	have	have	VERB
ejpam-5203	279	18	∞∑	∞∑	NUM
ejpam-5203	279	19	n=0	n=0	NUM
ejpam-5203	279	20	d	d	PROPN
ejpam-5203	279	21	dx	dx	PROPN
ejpam-5203	279	22	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	279	23	...	...	PUNCT
ejpam-5203	279	24	,kr	,kr	SYM
ejpam-5203	279	25	)	)	PUNCT
ejpam-5203	280	1	n	n	CCONJ
ejpam-5203	280	2	(	(	PUNCT
ejpam-5203	280	3	x;λ	x;λ	PROPN
ejpam-5203	280	4	,	,	PUNCT
ejpam-5203	280	5	a	a	DET
ejpam-5203	280	6	,	,	PUNCT
ejpam-5203	280	7	b	b	NOUN
ejpam-5203	280	8	,	,	PUNCT
ejpam-5203	280	9	c	c	NOUN
ejpam-5203	280	10	)	)	PUNCT
ejpam-5203	280	11	tn	tn	PROPN
ejpam-5203	280	12	n	n	NOUN
ejpam-5203	280	13	!	!	PUNCT
ejpam-5203	281	1	=	=	PUNCT
ejpam-5203	281	2	rt(ln	rt(ln	NOUN
ejpam-5203	281	3	c	c	NOUN
ejpam-5203	281	4	)	)	PUNCT
ejpam-5203	281	5	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	281	6	...	...	PUNCT
ejpam-5203	281	7	,kr	,kr	PUNCT
ejpam-5203	281	8	(	(	PUNCT
ejpam-5203	281	9	1−	1−	NUM
ejpam-5203	281	10	(	(	PUNCT
ejpam-5203	281	11	ab)−2	ab)−2	NOUN
ejpam-5203	281	12	t	t	PROPN
ejpam-5203	281	13	)	)	PUNCT
ejpam-5203	281	14	(	(	PUNCT
ejpam-5203	281	15	a−t	a−t	NOUN
ejpam-5203	282	1	+	+	CCONJ
ejpam-5203	282	2	λbt)r	λbt)r	PROPN
ejpam-5203	282	3	erxt	erxt	VERB
ejpam-5203	282	4	ln	ln	ADV
ejpam-5203	282	5	c	c	PROPN
ejpam-5203	283	1	this	this	PRON
ejpam-5203	283	2	means	mean	VERB
ejpam-5203	283	3	that	that	SCONJ
ejpam-5203	283	4	,	,	PUNCT
ejpam-5203	283	5	∞∑	∞∑	NUM
ejpam-5203	283	6	n=0	n=0	NUM
ejpam-5203	283	7	d	d	PROPN
ejpam-5203	283	8	dx	dx	PROPN
ejpam-5203	283	9	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	283	10	...	...	PUNCT
ejpam-5203	283	11	,kr	,kr	SYM
ejpam-5203	283	12	)	)	PUNCT
ejpam-5203	283	13	n	n	CCONJ
ejpam-5203	283	14	(	(	PUNCT
ejpam-5203	283	15	x;λ	x;λ	PROPN
ejpam-5203	283	16	,	,	PUNCT
ejpam-5203	283	17	a	a	DET
ejpam-5203	283	18	,	,	PUNCT
ejpam-5203	283	19	b	b	NOUN
ejpam-5203	283	20	,	,	PUNCT
ejpam-5203	283	21	c	c	NOUN
ejpam-5203	283	22	)	)	PUNCT
ejpam-5203	283	23	r	r	NOUN
ejpam-5203	283	24	ln	ln	NOUN
ejpam-5203	283	25	c	c	X
ejpam-5203	283	26	tn−1	tn−1	PROPN
ejpam-5203	283	27	n	n	CCONJ
ejpam-5203	283	28	!	!	PUNCT
ejpam-5203	284	1	=	=	PRON
ejpam-5203	284	2	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	284	3	...	...	PUNCT
ejpam-5203	284	4	,kr	,kr	PUNCT
ejpam-5203	284	5	(	(	PUNCT
ejpam-5203	284	6	1−	1−	NUM
ejpam-5203	284	7	(	(	PUNCT
ejpam-5203	284	8	ab)−2	ab)−2	NOUN
ejpam-5203	284	9	t	t	PROPN
ejpam-5203	284	10	)	)	PUNCT
ejpam-5203	284	11	(	(	PUNCT
ejpam-5203	284	12	a−t	a−t	NOUN
ejpam-5203	284	13	+	+	CCONJ
ejpam-5203	284	14	λbt)r	λbt)r	PROPN
ejpam-5203	284	15	erxt	erxt	VERB
ejpam-5203	284	16	ln	ln	ADJ
ejpam-5203	284	17	c(∗	c(∗	PROPN
ejpam-5203	284	18	)	)	PUNCT
ejpam-5203	284	19	m.	m.	NOUN
ejpam-5203	284	20	laurente	laurente	NOUN
ejpam-5203	284	21	,	,	PUNCT
ejpam-5203	284	22	az	az	PROPN
ejpam-5203	284	23	d.	d.	PROPN
ejpam-5203	284	24	ababa	ababa	PROPN
ejpam-5203	284	25	/	/	SYM
ejpam-5203	284	26	eur	eur	PROPN
ejpam-5203	284	27	.	.	PUNCT
ejpam-5203	285	1	j.	j.	PROPN
ejpam-5203	285	2	pure	pure	PROPN
ejpam-5203	285	3	appl	appl	PROPN
ejpam-5203	285	4	.	.	PROPN
ejpam-5203	285	5	math	math	PROPN
ejpam-5203	285	6	,	,	PUNCT
ejpam-5203	285	7	18	18	NUM
ejpam-5203	285	8	(	(	PUNCT
ejpam-5203	285	9	4	4	NUM
ejpam-5203	285	10	)	)	PUNCT
ejpam-5203	285	11	(	(	PUNCT
ejpam-5203	285	12	2025	2025	NUM
ejpam-5203	285	13	)	)	PUNCT
ejpam-5203	285	14	,	,	PUNCT
ejpam-5203	285	15	5203	5203	NUM
ejpam-5203	285	16	12	12	NUM
ejpam-5203	285	17	of	of	ADP
ejpam-5203	285	18	19	19	NUM
ejpam-5203	285	19	rewriting	rewrite	VERB
ejpam-5203	285	20	the	the	DET
ejpam-5203	285	21	left	left	ADJ
ejpam-5203	285	22	hand	hand	NOUN
ejpam-5203	285	23	side	side	NOUN
ejpam-5203	285	24	of	of	ADP
ejpam-5203	285	25	(	(	PUNCT
ejpam-5203	285	26	*	*	NOUN
ejpam-5203	285	27	)	)	PUNCT
ejpam-5203	285	28	we	we	PRON
ejpam-5203	285	29	get	get	VERB
ejpam-5203	285	30	∞∑	∞∑	NUM
ejpam-5203	285	31	n=0	n=0	NUM
ejpam-5203	285	32	d	d	PROPN
ejpam-5203	285	33	dx	dx	PROPN
ejpam-5203	285	34	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	285	35	...	...	PUNCT
ejpam-5203	285	36	,kr	,kr	SYM
ejpam-5203	285	37	)	)	PUNCT
ejpam-5203	286	1	n	n	CCONJ
ejpam-5203	286	2	(	(	PUNCT
ejpam-5203	286	3	x;λ	x;λ	PROPN
ejpam-5203	286	4	,	,	PUNCT
ejpam-5203	286	5	a	a	DET
ejpam-5203	286	6	,	,	PUNCT
ejpam-5203	286	7	b	b	NOUN
ejpam-5203	286	8	,	,	PUNCT
ejpam-5203	286	9	c	c	NOUN
ejpam-5203	286	10	)	)	PUNCT
ejpam-5203	286	11	r	r	NOUN
ejpam-5203	286	12	ln	ln	NOUN
ejpam-5203	286	13	c	c	X
ejpam-5203	286	14	tn−1	tn−1	PROPN
ejpam-5203	286	15	n	n	CCONJ
ejpam-5203	286	16	!	!	PUNCT
ejpam-5203	286	17	=	=	PUNCT
ejpam-5203	287	1	d	d	X
ejpam-5203	287	2	dx	dx	PROPN
ejpam-5203	287	3	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	287	4	...	...	PUNCT
ejpam-5203	287	5	,kr	,kr	X
ejpam-5203	287	6	)	)	PUNCT
ejpam-5203	287	7	0	0	NUM
ejpam-5203	288	1	(	(	PUNCT
ejpam-5203	288	2	x;λ	x;λ	PROPN
ejpam-5203	288	3	,	,	PUNCT
ejpam-5203	288	4	a	a	DET
ejpam-5203	288	5	,	,	PUNCT
ejpam-5203	288	6	b	b	NOUN
ejpam-5203	288	7	,	,	PUNCT
ejpam-5203	288	8	c	c	NOUN
ejpam-5203	288	9	)	)	PUNCT
ejpam-5203	288	10	r	r	NOUN
ejpam-5203	288	11	ln	ln	NOUN
ejpam-5203	288	12	c	c	X
ejpam-5203	288	13	t−1	t−1	PROPN
ejpam-5203	288	14	0	0	NUM
ejpam-5203	288	15	!	!	PUNCT
ejpam-5203	289	1	+	+	CCONJ
ejpam-5203	289	2	∞∑	∞∑	NUM
ejpam-5203	289	3	n=1	n=1	PROPN
ejpam-5203	289	4	d	d	PROPN
ejpam-5203	289	5	dx	dx	PROPN
ejpam-5203	289	6	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	289	7	...	...	PUNCT
ejpam-5203	289	8	,kr	,kr	SYM
ejpam-5203	289	9	)	)	PUNCT
ejpam-5203	290	1	n	n	CCONJ
ejpam-5203	290	2	(	(	PUNCT
ejpam-5203	290	3	x;λ	x;λ	PROPN
ejpam-5203	290	4	,	,	PUNCT
ejpam-5203	290	5	a	a	DET
ejpam-5203	290	6	,	,	PUNCT
ejpam-5203	290	7	b	b	NOUN
ejpam-5203	290	8	,	,	PUNCT
ejpam-5203	290	9	c	c	NOUN
ejpam-5203	290	10	)	)	PUNCT
ejpam-5203	290	11	r	r	NOUN
ejpam-5203	290	12	ln	ln	NOUN
ejpam-5203	290	13	c	c	X
ejpam-5203	290	14	tn−1	tn−1	PROPN
ejpam-5203	290	15	n	n	CCONJ
ejpam-5203	290	16	!	!	PUNCT
ejpam-5203	290	17	=	=	NOUN
ejpam-5203	291	1	∞∑	∞∑	NUM
ejpam-5203	291	2	n=1	n=1	PROPN
ejpam-5203	291	3	d	d	PROPN
ejpam-5203	291	4	dx	dx	PROPN
ejpam-5203	291	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	291	6	...	...	PUNCT
ejpam-5203	291	7	,kr	,kr	SYM
ejpam-5203	291	8	)	)	PUNCT
ejpam-5203	291	9	n	n	CCONJ
ejpam-5203	291	10	(	(	PUNCT
ejpam-5203	291	11	x;λ	x;λ	PROPN
ejpam-5203	291	12	,	,	PUNCT
ejpam-5203	291	13	a	a	DET
ejpam-5203	291	14	,	,	PUNCT
ejpam-5203	291	15	b	b	NOUN
ejpam-5203	291	16	,	,	PUNCT
ejpam-5203	291	17	c	c	NOUN
ejpam-5203	291	18	)	)	PUNCT
ejpam-5203	291	19	r	r	NOUN
ejpam-5203	291	20	ln	ln	NOUN
ejpam-5203	291	21	c	c	PROPN
ejpam-5203	291	22	tn−1	tn−1	PROPN
ejpam-5203	291	23	n	n	CCONJ
ejpam-5203	291	24	!	!	PUNCT
ejpam-5203	291	25	changing	change	VERB
ejpam-5203	291	26	the	the	DET
ejpam-5203	291	27	index	index	NOUN
ejpam-5203	291	28	,	,	PUNCT
ejpam-5203	291	29	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	291	30	...	...	PUNCT
ejpam-5203	291	31	,kr	,kr	PUNCT
ejpam-5203	291	32	(	(	PUNCT
ejpam-5203	291	33	1−	1−	NUM
ejpam-5203	291	34	(	(	PUNCT
ejpam-5203	291	35	ab)−2	ab)−2	NOUN
ejpam-5203	291	36	t	t	PROPN
ejpam-5203	291	37	)	)	PUNCT
ejpam-5203	291	38	(	(	PUNCT
ejpam-5203	291	39	a−t	a−t	NOUN
ejpam-5203	291	40	+	+	CCONJ
ejpam-5203	292	1	λbt)r	λbt)r	PROPN
ejpam-5203	292	2	erxt	erxt	VERB
ejpam-5203	292	3	ln	ln	NOUN
ejpam-5203	292	4	c	c	NOUN
ejpam-5203	292	5	=	=	PUNCT
ejpam-5203	293	1	∞∑	∞∑	ADJ
ejpam-5203	293	2	n=0	n=0	NUM
ejpam-5203	293	3	d	d	PROPN
ejpam-5203	293	4	dx	dx	PROPN
ejpam-5203	293	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	293	6	...	...	PUNCT
ejpam-5203	293	7	,kr	,kr	SYM
ejpam-5203	293	8	)	)	PUNCT
ejpam-5203	294	1	n	n	CCONJ
ejpam-5203	294	2	(	(	PUNCT
ejpam-5203	294	3	x;λ	x;λ	PROPN
ejpam-5203	294	4	,	,	PUNCT
ejpam-5203	294	5	a	a	DET
ejpam-5203	294	6	,	,	PUNCT
ejpam-5203	294	7	b	b	NOUN
ejpam-5203	294	8	,	,	PUNCT
ejpam-5203	294	9	c	c	NOUN
ejpam-5203	294	10	)	)	PUNCT
ejpam-5203	295	1	r	r	NOUN
ejpam-5203	295	2	ln	ln	PROPN
ejpam-5203	295	3	c	c	PROPN
ejpam-5203	295	4	tn	tn	PROPN
ejpam-5203	295	5	(	(	PUNCT
ejpam-5203	295	6	n+	n+	NOUN
ejpam-5203	295	7	1	1	NUM
ejpam-5203	295	8	)	)	PUNCT
ejpam-5203	295	9	!	!	PUNCT
ejpam-5203	296	1	=	=	PUNCT
ejpam-5203	297	1	∞∑	∞∑	PRON
ejpam-5203	297	2	n=0	n=0	NUM
ejpam-5203	297	3	d	d	PROPN
ejpam-5203	297	4	dx	dx	PROPN
ejpam-5203	297	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	297	6	...	...	PUNCT
ejpam-5203	297	7	,kr	,kr	SYM
ejpam-5203	297	8	)	)	PUNCT
ejpam-5203	297	9	n	n	CCONJ
ejpam-5203	297	10	(	(	PUNCT
ejpam-5203	297	11	x;λ	x;λ	PROPN
ejpam-5203	297	12	,	,	PUNCT
ejpam-5203	297	13	a	a	DET
ejpam-5203	297	14	,	,	PUNCT
ejpam-5203	297	15	b	b	NOUN
ejpam-5203	297	16	,	,	PUNCT
ejpam-5203	297	17	c	c	NOUN
ejpam-5203	297	18	)	)	PUNCT
ejpam-5203	298	1	r	r	NOUN
ejpam-5203	298	2	ln	ln	PROPN
ejpam-5203	298	3	c	c	PROPN
ejpam-5203	298	4	tn	tn	PROPN
ejpam-5203	298	5	(	(	PUNCT
ejpam-5203	298	6	n+	n+	X
ejpam-5203	298	7	1)n	1)n	X
ejpam-5203	298	8	!	!	PUNCT
ejpam-5203	299	1	so	so	ADV
ejpam-5203	299	2	we	we	PRON
ejpam-5203	299	3	have	have	VERB
ejpam-5203	299	4	,	,	PUNCT
ejpam-5203	300	1	∞∑	∞∑	PRON
ejpam-5203	300	2	n=0	n=0	NUM
ejpam-5203	300	3	d	d	PROPN
ejpam-5203	300	4	dx	dx	PROPN
ejpam-5203	300	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	300	6	...	...	PUNCT
ejpam-5203	300	7	,kr	,kr	SYM
ejpam-5203	300	8	)	)	PUNCT
ejpam-5203	300	9	n	n	CCONJ
ejpam-5203	300	10	(	(	PUNCT
ejpam-5203	300	11	x;λ	x;λ	PROPN
ejpam-5203	300	12	,	,	PUNCT
ejpam-5203	300	13	a	a	DET
ejpam-5203	300	14	,	,	PUNCT
ejpam-5203	300	15	b	b	NOUN
ejpam-5203	300	16	,	,	PUNCT
ejpam-5203	300	17	c	c	NOUN
ejpam-5203	300	18	)	)	PUNCT
ejpam-5203	300	19	tn	tn	PROPN
ejpam-5203	300	20	n	n	CCONJ
ejpam-5203	300	21	!	!	PUNCT
ejpam-5203	300	22	=	=	NOUN
ejpam-5203	301	1	∞∑	∞∑	PRON
ejpam-5203	301	2	n=0	n=0	NUM
ejpam-5203	301	3	d	d	PROPN
ejpam-5203	301	4	dx	dx	PROPN
ejpam-5203	301	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	301	6	...	...	PUNCT
ejpam-5203	301	7	,kr	,kr	SYM
ejpam-5203	301	8	)	)	PUNCT
ejpam-5203	301	9	n	n	CCONJ
ejpam-5203	301	10	(	(	PUNCT
ejpam-5203	301	11	x;λ	x;λ	PROPN
ejpam-5203	301	12	,	,	PUNCT
ejpam-5203	301	13	a	a	DET
ejpam-5203	301	14	,	,	PUNCT
ejpam-5203	301	15	b	b	NOUN
ejpam-5203	301	16	,	,	PUNCT
ejpam-5203	301	17	c	c	NOUN
ejpam-5203	301	18	)	)	PUNCT
ejpam-5203	302	1	r	r	NOUN
ejpam-5203	302	2	ln	ln	PROPN
ejpam-5203	302	3	c	c	PROPN
ejpam-5203	302	4	tn	tn	PROPN
ejpam-5203	302	5	(	(	PUNCT
ejpam-5203	302	6	n+	n+	X
ejpam-5203	302	7	1)n	1)n	X
ejpam-5203	302	8	!	!	PUNCT
ejpam-5203	303	1	∞∑	∞∑	NUM
ejpam-5203	303	2	n=0	n=0	NUM
ejpam-5203	303	3	(	(	PUNCT
ejpam-5203	303	4	r	r	NOUN
ejpam-5203	303	5	ln	ln	ADJ
ejpam-5203	303	6	c)(n+	c)(n+	NOUN
ejpam-5203	303	7	1	1	X
ejpam-5203	303	8	)	)	PUNCT
ejpam-5203	303	9	d	d	NOUN
ejpam-5203	303	10	dx	dx	PROPN
ejpam-5203	303	11	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	303	12	...	...	PUNCT
ejpam-5203	303	13	,kr	,kr	SYM
ejpam-5203	303	14	)	)	PUNCT
ejpam-5203	303	15	n	n	CCONJ
ejpam-5203	303	16	(	(	PUNCT
ejpam-5203	303	17	x;λ	x;λ	PROPN
ejpam-5203	303	18	,	,	PUNCT
ejpam-5203	303	19	a	a	DET
ejpam-5203	303	20	,	,	PUNCT
ejpam-5203	303	21	b	b	NOUN
ejpam-5203	303	22	,	,	PUNCT
ejpam-5203	303	23	c	c	NOUN
ejpam-5203	303	24	)	)	PUNCT
ejpam-5203	303	25	tn	tn	PROPN
ejpam-5203	303	26	n	n	CCONJ
ejpam-5203	303	27	!	!	PUNCT
ejpam-5203	303	28	=	=	NOUN
ejpam-5203	304	1	∞∑	∞∑	PRON
ejpam-5203	304	2	n=0	n=0	NUM
ejpam-5203	304	3	d	d	PROPN
ejpam-5203	304	4	dx	dx	PROPN
ejpam-5203	304	5	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	304	6	...	...	PUNCT
ejpam-5203	304	7	,kr)(x;λ	,kr)(x;λ	PUNCT
ejpam-5203	304	8	,	,	PUNCT
ejpam-5203	304	9	a	a	DET
ejpam-5203	304	10	,	,	PUNCT
ejpam-5203	304	11	b	b	NOUN
ejpam-5203	304	12	,	,	PUNCT
ejpam-5203	304	13	c	c	NOUN
ejpam-5203	304	14	)	)	PUNCT
ejpam-5203	304	15	n	n	PROPN
ejpam-5203	304	16	tn	tn	PROPN
ejpam-5203	304	17	n	n	X
ejpam-5203	304	18	!	!	PUNCT
ejpam-5203	304	19	comparing	compare	VERB
ejpam-5203	304	20	the	the	DET
ejpam-5203	304	21	coefficients	coefficient	NOUN
ejpam-5203	304	22	of	of	ADP
ejpam-5203	304	23	tn	tn	NOUN
ejpam-5203	304	24	n	n	CCONJ
ejpam-5203	304	25	!	!	PROPN
ejpam-5203	304	26	,	,	PUNCT
ejpam-5203	304	27	we	we	PRON
ejpam-5203	304	28	obtain	obtain	VERB
ejpam-5203	304	29	the	the	DET
ejpam-5203	304	30	desired	desire	VERB
ejpam-5203	304	31	result.therefore	result.therefore	NOUN
ejpam-5203	304	32	,	,	PUNCT
ejpam-5203	304	33	d	d	PROPN
ejpam-5203	304	34	dxg	dxg	NOUN
ejpam-5203	304	35	(	(	PUNCT
ejpam-5203	304	36	k1,k2,	k1,k2,	NOUN
ejpam-5203	304	37	...	...	PUNCT
ejpam-5203	304	38	,kr	,kr	X
ejpam-5203	304	39	)	)	PUNCT
ejpam-5203	304	40	n+1	n+1	PROPN
ejpam-5203	304	41	(	(	PUNCT
ejpam-5203	304	42	x;λ	x;λ	PROPN
ejpam-5203	304	43	,	,	PUNCT
ejpam-5203	304	44	a	a	DET
ejpam-5203	304	45	,	,	PUNCT
ejpam-5203	304	46	b	b	NOUN
ejpam-5203	304	47	,	,	PUNCT
ejpam-5203	304	48	c	c	NOUN
ejpam-5203	304	49	)	)	PUNCT
ejpam-5203	304	50	=	=	SYM
ejpam-5203	304	51	(	(	PUNCT
ejpam-5203	304	52	n+	n+	NUM
ejpam-5203	304	53	1)(r	1)(r	NUM
ejpam-5203	304	54	ln	ln	ADJ
ejpam-5203	304	55	c)g(k1,k2,	c)g(k1,k2,	NOUN
ejpam-5203	304	56	...	...	PUNCT
ejpam-5203	304	57	,kr	,kr	SYM
ejpam-5203	304	58	)	)	PUNCT
ejpam-5203	304	59	n	n	CCONJ
ejpam-5203	304	60	(	(	PUNCT
ejpam-5203	304	61	x;λ	x;λ	PROPN
ejpam-5203	304	62	,	,	PUNCT
ejpam-5203	304	63	a	a	DET
ejpam-5203	304	64	,	,	PUNCT
ejpam-5203	304	65	b	b	NOUN
ejpam-5203	304	66	,	,	PUNCT
ejpam-5203	304	67	c	c	NOUN
ejpam-5203	304	68	)	)	PUNCT
ejpam-5203	304	69	.	.	PUNCT
ejpam-5203	305	1	when	when	SCONJ
ejpam-5203	305	2	c	c	NOUN
ejpam-5203	305	3	=	=	SYM
ejpam-5203	305	4	e1	e1	PROPN
ejpam-5203	305	5	/	/	SYM
ejpam-5203	305	6	r	r	NOUN
ejpam-5203	305	7	,	,	PUNCT
ejpam-5203	305	8	the	the	DET
ejpam-5203	305	9	next	next	ADJ
ejpam-5203	305	10	corollary	corollary	NOUN
ejpam-5203	305	11	is	be	AUX
ejpam-5203	305	12	obtained	obtain	VERB
ejpam-5203	305	13	from	from	ADP
ejpam-5203	305	14	(	(	PUNCT
ejpam-5203	305	15	4.5	4.5	NUM
ejpam-5203	305	16	)	)	PUNCT
ejpam-5203	305	17	corollary	corollary	ADJ
ejpam-5203	305	18	4.6	4.6	NUM
ejpam-5203	305	19	.	.	PUNCT
ejpam-5203	306	1	an	an	DET
ejpam-5203	306	2	apostol	apostol	NOUN
ejpam-5203	306	3	-	-	PUNCT
ejpam-5203	306	4	type	type	NOUN
ejpam-5203	306	5	multi	multi	ADJ
ejpam-5203	306	6	poly	poly	ADJ
ejpam-5203	306	7	-	-	PUNCT
ejpam-5203	306	8	genocchi	genocchi	NOUN
ejpam-5203	306	9	polynomials	polynomial	NOUN
ejpam-5203	306	10	satisfy	satisfy	VERB
ejpam-5203	306	11	the	the	DET
ejpam-5203	306	12	relation	relation	NOUN
ejpam-5203	306	13	d	d	PROPN
ejpam-5203	306	14	dx	dx	PROPN
ejpam-5203	306	15	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	306	16	...	...	PUNCT
ejpam-5203	306	17	,kr	,kr	X
ejpam-5203	306	18	)	)	PUNCT
ejpam-5203	307	1	n+1	n+1	PROPN
ejpam-5203	307	2	(	(	PUNCT
ejpam-5203	307	3	x;λ	x;λ	PROPN
ejpam-5203	307	4	,	,	PUNCT
ejpam-5203	307	5	a	a	DET
ejpam-5203	307	6	,	,	PUNCT
ejpam-5203	307	7	b	b	NOUN
ejpam-5203	307	8	,	,	PUNCT
ejpam-5203	307	9	e1	e1	NOUN
ejpam-5203	307	10	/	/	SYM
ejpam-5203	307	11	r	r	NOUN
ejpam-5203	307	12	)	)	PUNCT
ejpam-5203	308	1	=	=	SYM
ejpam-5203	308	2	(	(	PUNCT
ejpam-5203	308	3	n+	n+	X
ejpam-5203	308	4	1)g(k1,k2,	1)g(k1,k2,	NUM
ejpam-5203	308	5	...	...	PUNCT
ejpam-5203	308	6	,kr	,kr	SYM
ejpam-5203	308	7	)	)	PUNCT
ejpam-5203	309	1	n	n	CCONJ
ejpam-5203	309	2	(	(	PUNCT
ejpam-5203	309	3	x;λ	x;λ	PROPN
ejpam-5203	309	4	,	,	PUNCT
ejpam-5203	309	5	a	a	DET
ejpam-5203	309	6	,	,	PUNCT
ejpam-5203	309	7	b	b	NOUN
ejpam-5203	309	8	,	,	PUNCT
ejpam-5203	309	9	e1	e1	NOUN
ejpam-5203	309	10	/	/	SYM
ejpam-5203	309	11	r	r	NOUN
ejpam-5203	309	12	)	)	PUNCT
ejpam-5203	309	13	.	.	PUNCT
ejpam-5203	310	1	corollary	corollary	ADJ
ejpam-5203	310	2	(	(	PUNCT
ejpam-5203	310	3	4.6	4.6	NUM
ejpam-5203	310	4	)	)	PUNCT
ejpam-5203	310	5	is	be	AUX
ejpam-5203	310	6	one	one	NUM
ejpam-5203	310	7	the	the	DET
ejpam-5203	310	8	properties	property	NOUN
ejpam-5203	310	9	to	to	PART
ejpam-5203	310	10	be	be	AUX
ejpam-5203	310	11	classified	classify	VERB
ejpam-5203	310	12	as	as	ADP
ejpam-5203	310	13	appell	appell	NOUN
ejpam-5203	310	14	polynomial	polynomial	ADJ
ejpam-5203	310	15	.	.	PUNCT
ejpam-5203	311	1	being	be	AUX
ejpam-5203	311	2	classified	classify	VERB
ejpam-5203	311	3	as	as	ADP
ejpam-5203	311	4	appell	appell	NOUN
ejpam-5203	311	5	polynomials	polynomial	NOUN
ejpam-5203	311	6	,	,	PUNCT
ejpam-5203	311	7	the	the	DET
ejpam-5203	311	8	apostol	apostol	NOUN
ejpam-5203	311	9	-	-	PUNCT
ejpam-5203	311	10	type	type	NOUN
ejpam-5203	311	11	multi	multi	ADJ
ejpam-5203	311	12	poly	poly	ADJ
ejpam-5203	311	13	-	-	PUNCT
ejpam-5203	311	14	genocchi	genocchi	NOUN
ejpam-5203	311	15	polynomials	polynomial	NOUN
ejpam-5203	311	16	must	must	AUX
ejpam-5203	311	17	possess	possess	VERB
ejpam-5203	311	18	the	the	DET
ejpam-5203	311	19	following	follow	VERB
ejpam-5203	311	20	properties	property	NOUN
ejpam-5203	311	21	g(k1,k2,	g(k1,k2,	ADJ
ejpam-5203	311	22	...	...	PUNCT
ejpam-5203	311	23	,kr	,kr	SYM
ejpam-5203	311	24	)	)	PUNCT
ejpam-5203	312	1	n	n	CCONJ
ejpam-5203	312	2	(	(	PUNCT
ejpam-5203	312	3	λ	λ	PROPN
ejpam-5203	312	4	,	,	PUNCT
ejpam-5203	312	5	a	a	DET
ejpam-5203	312	6	,	,	PUNCT
ejpam-5203	312	7	b	b	NOUN
ejpam-5203	312	8	)	)	PUNCT
ejpam-5203	312	9	=	=	PUNCT
ejpam-5203	313	1	∞∑	∞∑	NUM
ejpam-5203	313	2	i=0	i=0	PROPN
ejpam-5203	313	3	(	(	PUNCT
ejpam-5203	313	4	n	n	X
ejpam-5203	313	5	i	i	PRON
ejpam-5203	313	6	)	)	PUNCT
ejpam-5203	313	7	cix	cix	PROPN
ejpam-5203	313	8	n−i	n−i	PROPN
ejpam-5203	313	9	m.	m.	NOUN
ejpam-5203	313	10	laurente	laurente	PROPN
ejpam-5203	313	11	,	,	PUNCT
ejpam-5203	313	12	az	az	PROPN
ejpam-5203	313	13	d.	d.	PROPN
ejpam-5203	313	14	ababa	ababa	PROPN
ejpam-5203	313	15	/	/	SYM
ejpam-5203	313	16	eur	eur	PROPN
ejpam-5203	313	17	.	.	PUNCT
ejpam-5203	314	1	j.	j.	PROPN
ejpam-5203	314	2	pure	pure	PROPN
ejpam-5203	314	3	appl	appl	PROPN
ejpam-5203	314	4	.	.	PROPN
ejpam-5203	314	5	math	math	PROPN
ejpam-5203	314	6	,	,	PUNCT
ejpam-5203	314	7	18	18	NUM
ejpam-5203	314	8	(	(	PUNCT
ejpam-5203	314	9	4	4	NUM
ejpam-5203	314	10	)	)	PUNCT
ejpam-5203	314	11	(	(	PUNCT
ejpam-5203	314	12	2025	2025	NUM
ejpam-5203	314	13	)	)	PUNCT
ejpam-5203	314	14	,	,	PUNCT
ejpam-5203	314	15	5203	5203	NUM
ejpam-5203	314	16	13	13	NUM
ejpam-5203	314	17	of	of	ADP
ejpam-5203	314	18	19	19	NUM
ejpam-5203	314	19	g(k1,k2,	g(k1,k2,	ADJ
ejpam-5203	314	20	...	...	PUNCT
ejpam-5203	314	21	,kr	,kr	SYM
ejpam-5203	314	22	)	)	PUNCT
ejpam-5203	315	1	n	n	CCONJ
ejpam-5203	315	2	(	(	PUNCT
ejpam-5203	315	3	λ	λ	PROPN
ejpam-5203	315	4	,	,	PUNCT
ejpam-5203	315	5	a	a	DET
ejpam-5203	315	6	,	,	PUNCT
ejpam-5203	315	7	b	b	NOUN
ejpam-5203	315	8	)	)	PUNCT
ejpam-5203	315	9	=	=	SYM
ejpam-5203	316	1	(	(	PUNCT
ejpam-5203	316	2	∞∑	∞∑	NUM
ejpam-5203	316	3	i=0	i=0	PROPN
ejpam-5203	316	4	ci	ci	NOUN
ejpam-5203	316	5	i	i	PROPN
ejpam-5203	316	6	!	!	PUNCT
ejpam-5203	316	7	di	di	PROPN
ejpam-5203	316	8	)	)	PUNCT
ejpam-5203	316	9	xn	xn	PROPN
ejpam-5203	317	1	for	for	ADP
ejpam-5203	317	2	some	some	DET
ejpam-5203	317	3	scalar	scalar	ADJ
ejpam-5203	317	4	ci	ci	NOUN
ejpam-5203	317	5	̸=	̸=	PROPN
ejpam-5203	317	6	0	0	NUM
ejpam-5203	318	1	and	and	CCONJ
ejpam-5203	318	2	where	where	SCONJ
ejpam-5203	318	3	d	d	NOUN
ejpam-5203	318	4	is	be	AUX
ejpam-5203	318	5	the	the	DET
ejpam-5203	318	6	operator	operator	NOUN
ejpam-5203	318	7	d	d	PROPN
ejpam-5203	318	8	dx	dx	PROPN
ejpam-5203	318	9	.	.	PUNCT
ejpam-5203	319	1	it	it	PRON
ejpam-5203	319	2	is	be	AUX
ejpam-5203	319	3	necessary	necessary	ADJ
ejpam-5203	319	4	to	to	PART
ejpam-5203	319	5	find	find	VERB
ejpam-5203	319	6	the	the	DET
ejpam-5203	319	7	sequence	sequence	NOUN
ejpam-5203	319	8	(	(	PUNCT
ejpam-5203	319	9	cn	cn	PROPN
ejpam-5203	319	10	)	)	PUNCT
ejpam-5203	319	11	.	.	PUNCT
ejpam-5203	320	1	however	however	ADV
ejpam-5203	320	2	,	,	PUNCT
ejpam-5203	320	3	using	use	VERB
ejpam-5203	320	4	theorem	theorem	NOUN
ejpam-5203	320	5	(	(	PUNCT
ejpam-5203	320	6	4.4	4.4	NUM
ejpam-5203	320	7	)	)	PUNCT
ejpam-5203	320	8	with	with	ADP
ejpam-5203	320	9	c	c	NOUN
ejpam-5203	320	10	=	=	SYM
ejpam-5203	320	11	e	e	NOUN
ejpam-5203	320	12	,	,	PUNCT
ejpam-5203	320	13	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	320	14	...	...	PUNCT
ejpam-5203	320	15	,kr	,kr	SYM
ejpam-5203	320	16	)	)	PUNCT
ejpam-5203	320	17	n	n	CCONJ
ejpam-5203	320	18	(	(	PUNCT
ejpam-5203	320	19	λ	λ	PROPN
ejpam-5203	320	20	,	,	PUNCT
ejpam-5203	320	21	a	a	DET
ejpam-5203	320	22	,	,	PUNCT
ejpam-5203	320	23	b	b	NOUN
ejpam-5203	320	24	)	)	PUNCT
ejpam-5203	320	25	=	=	PUNCT
ejpam-5203	321	1	∞∑	∞∑	NUM
ejpam-5203	321	2	i=0	i=0	PROPN
ejpam-5203	321	3	(	(	PUNCT
ejpam-5203	321	4	n	n	X
ejpam-5203	321	5	i	i	PRON
ejpam-5203	321	6	)	)	PUNCT
ejpam-5203	321	7	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	321	8	...	...	PUNCT
ejpam-5203	321	9	,kr	,kr	SYM
ejpam-5203	321	10	)	)	PUNCT
ejpam-5203	321	11	n	n	CCONJ
ejpam-5203	321	12	(	(	PUNCT
ejpam-5203	321	13	λ	λ	PROPN
ejpam-5203	321	14	,	,	PUNCT
ejpam-5203	321	15	a	a	PRON
ejpam-5203	321	16	,	,	PUNCT
ejpam-5203	321	17	b)xn−i	b)xn−i	NOUN
ejpam-5203	321	18	and	and	CCONJ
ejpam-5203	321	19	letting	let	VERB
ejpam-5203	321	20	ci	ci	NOUN
ejpam-5203	321	21	=	=	PUNCT
ejpam-5203	321	22	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	321	23	...	...	PUNCT
ejpam-5203	321	24	,kr	,kr	SYM
ejpam-5203	321	25	)	)	PUNCT
ejpam-5203	321	26	n	n	CCONJ
ejpam-5203	321	27	(	(	PUNCT
ejpam-5203	321	28	λ	λ	PROPN
ejpam-5203	321	29	,	,	PUNCT
ejpam-5203	321	30	a	a	DET
ejpam-5203	321	31	,	,	PUNCT
ejpam-5203	321	32	b	b	NOUN
ejpam-5203	321	33	)	)	PUNCT
ejpam-5203	321	34	we	we	PRON
ejpam-5203	321	35	obtain	obtain	VERB
ejpam-5203	321	36	the	the	DET
ejpam-5203	321	37	next	next	ADJ
ejpam-5203	321	38	corollary	corollary	NOUN
ejpam-5203	321	39	.	.	PUNCT
ejpam-5203	322	1	corollary	corollary	ADJ
ejpam-5203	322	2	4.7	4.7	NUM
ejpam-5203	322	3	.	.	PUNCT
ejpam-5203	323	1	an	an	DET
ejpam-5203	323	2	apostol	apostol	NOUN
ejpam-5203	323	3	-	-	PUNCT
ejpam-5203	323	4	type	type	NOUN
ejpam-5203	323	5	of	of	ADP
ejpam-5203	323	6	multi	multi	ADJ
ejpam-5203	323	7	poly	poly	ADJ
ejpam-5203	323	8	-	-	PUNCT
ejpam-5203	323	9	genocchi	genocchi	NOUN
ejpam-5203	323	10	polynomials	polynomial	NOUN
ejpam-5203	323	11	satisfy	satisfy	VERB
ejpam-5203	323	12	the	the	DET
ejpam-5203	323	13	following	follow	VERB
ejpam-5203	323	14	formula	formula	NOUN
ejpam-5203	323	15	:	:	PUNCT
ejpam-5203	323	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	323	17	...	...	PUNCT
ejpam-5203	323	18	,kr	,kr	SYM
ejpam-5203	323	19	)	)	PUNCT
ejpam-5203	324	1	n	n	CCONJ
ejpam-5203	324	2	(	(	PUNCT
ejpam-5203	324	3	x;λ	x;λ	PROPN
ejpam-5203	324	4	,	,	PUNCT
ejpam-5203	324	5	a	a	DET
ejpam-5203	324	6	,	,	PUNCT
ejpam-5203	324	7	b	b	NOUN
ejpam-5203	324	8	,	,	PUNCT
ejpam-5203	324	9	e1	e1	NOUN
ejpam-5203	324	10	/	/	SYM
ejpam-5203	324	11	r	r	NOUN
ejpam-5203	324	12	)	)	PUNCT
ejpam-5203	324	13	=	=	NOUN
ejpam-5203	324	14	∞∑	∞∑	NUM
ejpam-5203	324	15	i=0	i=0	PROPN
ejpam-5203	324	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	324	17	...	...	PUNCT
ejpam-5203	324	18	,kr	,kr	X
ejpam-5203	324	19	)	)	PUNCT
ejpam-5203	325	1	i	i	PRON
ejpam-5203	325	2	(	(	PUNCT
ejpam-5203	325	3	λ	λ	PROPN
ejpam-5203	325	4	,	,	PUNCT
ejpam-5203	325	5	a	a	PRON
ejpam-5203	325	6	,	,	PUNCT
ejpam-5203	325	7	b	b	NOUN
ejpam-5203	325	8	)	)	PUNCT
ejpam-5203	325	9	i	i	PRON
ejpam-5203	325	10	!	!	PUNCT
ejpam-5203	326	1	dixn	dixn	NOUN
ejpam-5203	326	2	.	.	PUNCT
ejpam-5203	327	1	the	the	DET
ejpam-5203	327	2	following	follow	VERB
ejpam-5203	327	3	theorem	theorem	NOUN
ejpam-5203	327	4	contains	contain	VERB
ejpam-5203	327	5	the	the	DET
ejpam-5203	327	6	addition	addition	NOUN
ejpam-5203	327	7	formula	formula	NOUN
ejpam-5203	327	8	for	for	ADP
ejpam-5203	327	9	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	327	10	...	...	PUNCT
ejpam-5203	327	11	,kr	,kr	SYM
ejpam-5203	327	12	)	)	PUNCT
ejpam-5203	327	13	n	n	CCONJ
ejpam-5203	327	14	(	(	PUNCT
ejpam-5203	327	15	x;λ	x;λ	PROPN
ejpam-5203	327	16	,	,	PUNCT
ejpam-5203	327	17	a	a	DET
ejpam-5203	327	18	,	,	PUNCT
ejpam-5203	327	19	b	b	NOUN
ejpam-5203	327	20	,	,	PUNCT
ejpam-5203	327	21	c	c	NOUN
ejpam-5203	327	22	)	)	PUNCT
ejpam-5203	327	23	.	.	PUNCT
ejpam-5203	328	1	theorem	theorem	VERB
ejpam-5203	328	2	4.8	4.8	NUM
ejpam-5203	328	3	.	.	PUNCT
ejpam-5203	329	1	an	an	DET
ejpam-5203	329	2	apostol	apostol	NOUN
ejpam-5203	329	3	of	of	ADP
ejpam-5203	329	4	type	type	NOUN
ejpam-5203	329	5	multi	multi	ADJ
ejpam-5203	329	6	poly	poly	ADJ
ejpam-5203	329	7	-	-	PUNCT
ejpam-5203	329	8	genocchi	genocchi	NOUN
ejpam-5203	329	9	polynomials	polynomial	NOUN
ejpam-5203	329	10	satisfy	satisfy	VERB
ejpam-5203	329	11	the	the	DET
ejpam-5203	329	12	following	follow	VERB
ejpam-5203	329	13	addition	addition	NOUN
ejpam-5203	329	14	formula	formula	NOUN
ejpam-5203	329	15	:	:	PUNCT
ejpam-5203	329	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	329	17	...	...	PUNCT
ejpam-5203	329	18	,kr	,kr	SYM
ejpam-5203	329	19	)	)	PUNCT
ejpam-5203	330	1	n	n	CCONJ
ejpam-5203	330	2	(	(	PUNCT
ejpam-5203	330	3	x+	x+	PROPN
ejpam-5203	330	4	y;λ	y;λ	PROPN
ejpam-5203	330	5	,	,	PUNCT
ejpam-5203	330	6	a	a	PRON
ejpam-5203	330	7	,	,	PUNCT
ejpam-5203	330	8	b	b	NOUN
ejpam-5203	330	9	,	,	PUNCT
ejpam-5203	330	10	c	c	NOUN
ejpam-5203	330	11	)	)	PUNCT
ejpam-5203	330	12	=	=	SYM
ejpam-5203	330	13	n∑	n∑	PROPN
ejpam-5203	330	14	i=0	i=0	PROPN
ejpam-5203	330	15	(	(	PUNCT
ejpam-5203	330	16	n	n	NOUN
ejpam-5203	330	17	i	i	PRON
ejpam-5203	330	18	)	)	PUNCT
ejpam-5203	331	1	(	(	PUNCT
ejpam-5203	331	2	r	r	X
ejpam-5203	331	3	ln	ln	ADJ
ejpam-5203	331	4	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-5203	331	5	...	...	PUNCT
ejpam-5203	331	6	,kr	,kr	X
ejpam-5203	331	7	)	)	PUNCT
ejpam-5203	332	1	i	i	PRON
ejpam-5203	332	2	(	(	PUNCT
ejpam-5203	332	3	x;λ	x;λ	PROPN
ejpam-5203	332	4	,	,	PUNCT
ejpam-5203	332	5	a	a	DET
ejpam-5203	332	6	,	,	PUNCT
ejpam-5203	332	7	b	b	NOUN
ejpam-5203	332	8	,	,	PUNCT
ejpam-5203	332	9	c)yn−i	c)yn−i	PROPN
ejpam-5203	332	10	,	,	PUNCT
ejpam-5203	332	11	y	y	PROPN
ejpam-5203	332	12	̸=	̸=	PROPN
ejpam-5203	332	13	0	0	NUM
ejpam-5203	332	14	.	.	PUNCT
ejpam-5203	333	1	proof	proof	NOUN
ejpam-5203	333	2	.	.	PUNCT
ejpam-5203	334	1	using	use	VERB
ejpam-5203	334	2	equation	equation	NOUN
ejpam-5203	334	3	19	19	NUM
ejpam-5203	334	4	of	of	ADP
ejpam-5203	334	5	definition	definition	NOUN
ejpam-5203	334	6	4.1	4.1	NUM
ejpam-5203	334	7	,	,	PUNCT
ejpam-5203	334	8	∞∑	∞∑	ADJ
ejpam-5203	334	9	n=0	n=0	NUM
ejpam-5203	334	10	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	334	11	...	...	PUNCT
ejpam-5203	334	12	,kr	,kr	SYM
ejpam-5203	334	13	)	)	PUNCT
ejpam-5203	334	14	n	n	CCONJ
ejpam-5203	334	15	(	(	PUNCT
ejpam-5203	334	16	x+	x+	PROPN
ejpam-5203	334	17	y;λ	y;λ	PROPN
ejpam-5203	334	18	,	,	PUNCT
ejpam-5203	334	19	a	a	DET
ejpam-5203	334	20	,	,	PUNCT
ejpam-5203	334	21	b	b	NOUN
ejpam-5203	334	22	,	,	PUNCT
ejpam-5203	334	23	c	c	NOUN
ejpam-5203	334	24	)	)	PUNCT
ejpam-5203	334	25	tn	tn	PROPN
ejpam-5203	334	26	n	n	CCONJ
ejpam-5203	334	27	!	!	PUNCT
ejpam-5203	335	1	=	=	PRON
ejpam-5203	335	2	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	335	3	...	...	PUNCT
ejpam-5203	335	4	,kr	,kr	PUNCT
ejpam-5203	335	5	(	(	PUNCT
ejpam-5203	335	6	1−	1−	NUM
ejpam-5203	335	7	(	(	PUNCT
ejpam-5203	335	8	ab)−2	ab)−2	NOUN
ejpam-5203	335	9	t	t	PROPN
ejpam-5203	335	10	)	)	PUNCT
ejpam-5203	335	11	(	(	PUNCT
ejpam-5203	335	12	a−t	a−t	NOUN
ejpam-5203	335	13	+	+	NOUN
ejpam-5203	335	14	λbt)r	λbt)r	PROPN
ejpam-5203	335	15	c(x+y)rt	c(x+y)rt	NOUN
ejpam-5203	335	16	=	=	NOUN
ejpam-5203	335	17	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	335	18	...	...	PUNCT
ejpam-5203	335	19	,kr	,kr	PUNCT
ejpam-5203	335	20	(	(	PUNCT
ejpam-5203	335	21	1−	1−	NUM
ejpam-5203	335	22	(	(	PUNCT
ejpam-5203	335	23	ab)−2	ab)−2	NOUN
ejpam-5203	335	24	t	t	PROPN
ejpam-5203	335	25	)	)	PUNCT
ejpam-5203	335	26	(	(	PUNCT
ejpam-5203	335	27	a−t	a−t	NOUN
ejpam-5203	335	28	+	+	NOUN
ejpam-5203	335	29	bt)r	bt)r	PROPN
ejpam-5203	335	30	cxrtcyrt	cxrtcyrt	NOUN
ejpam-5203	335	31	=	=	PUNCT
ejpam-5203	335	32	(	(	PUNCT
ejpam-5203	335	33	∞∑	∞∑	NUM
ejpam-5203	335	34	n=0	n=0	NUM
ejpam-5203	335	35	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	335	36	...	...	PUNCT
ejpam-5203	335	37	,kr	,kr	SYM
ejpam-5203	335	38	)	)	PUNCT
ejpam-5203	336	1	n	n	CCONJ
ejpam-5203	336	2	(	(	PUNCT
ejpam-5203	336	3	x;λ	x;λ	PROPN
ejpam-5203	336	4	,	,	PUNCT
ejpam-5203	336	5	a	a	DET
ejpam-5203	336	6	,	,	PUNCT
ejpam-5203	336	7	b	b	NOUN
ejpam-5203	336	8	,	,	PUNCT
ejpam-5203	336	9	c	c	NOUN
ejpam-5203	336	10	)	)	PUNCT
ejpam-5203	336	11	tn	tn	PROPN
ejpam-5203	336	12	n	n	PROPN
ejpam-5203	336	13	!	!	PUNCT
ejpam-5203	336	14	)	)	PUNCT
ejpam-5203	337	1	eyrt	eyrt	NOUN
ejpam-5203	337	2	ln	ln	ADJ
ejpam-5203	337	3	c	c	PROPN
ejpam-5203	337	4	since	since	SCONJ
ejpam-5203	337	5	eyrt	eyrt	NOUN
ejpam-5203	337	6	ln	ln	NOUN
ejpam-5203	337	7	c	c	NOUN
ejpam-5203	337	8	=	=	PUNCT
ejpam-5203	338	1	∞∑	∞∑	ADJ
ejpam-5203	338	2	n=0	n=0	NUM
ejpam-5203	338	3	(	(	PUNCT
ejpam-5203	338	4	yrt	yrt	PROPN
ejpam-5203	338	5	ln	ln	PROPN
ejpam-5203	338	6	c)n	c)n	PROPN
ejpam-5203	338	7	n	n	X
ejpam-5203	338	8	!	!	PUNCT
ejpam-5203	338	9	=	=	NOUN
ejpam-5203	339	1	∞∑	∞∑	PRON
ejpam-5203	339	2	n=0	n=0	NUM
ejpam-5203	339	3	(	(	PUNCT
ejpam-5203	339	4	yr	yr	PROPN
ejpam-5203	339	5	ln	ln	PROPN
ejpam-5203	339	6	c)n	c)n	NOUN
ejpam-5203	339	7	(	(	PUNCT
ejpam-5203	339	8	t)n	t)n	NOUN
ejpam-5203	339	9	n	n	CCONJ
ejpam-5203	339	10	!	!	PUNCT
ejpam-5203	339	11	,	,	PUNCT
ejpam-5203	339	12	so	so	ADV
ejpam-5203	339	13	have	have	VERB
ejpam-5203	339	14	,	,	PUNCT
ejpam-5203	339	15	∞∑	∞∑	ADJ
ejpam-5203	339	16	n=0	n=0	NUM
ejpam-5203	339	17	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	339	18	...	...	PUNCT
ejpam-5203	339	19	,kr	,kr	SYM
ejpam-5203	339	20	)	)	PUNCT
ejpam-5203	339	21	n	n	CCONJ
ejpam-5203	339	22	(	(	PUNCT
ejpam-5203	339	23	x+	x+	PROPN
ejpam-5203	339	24	y;λ	y;λ	PROPN
ejpam-5203	339	25	,	,	PUNCT
ejpam-5203	339	26	a	a	DET
ejpam-5203	339	27	,	,	PUNCT
ejpam-5203	339	28	b	b	NOUN
ejpam-5203	339	29	,	,	PUNCT
ejpam-5203	339	30	c	c	NOUN
ejpam-5203	339	31	)	)	PUNCT
ejpam-5203	339	32	tn	tn	PROPN
ejpam-5203	339	33	n	n	CCONJ
ejpam-5203	339	34	!	!	PUNCT
ejpam-5203	340	1	=	=	PUNCT
ejpam-5203	341	1	(	(	PUNCT
ejpam-5203	341	2	∞∑	∞∑	NUM
ejpam-5203	341	3	n=0	n=0	NUM
ejpam-5203	341	4	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	341	5	...	...	PUNCT
ejpam-5203	341	6	,kr	,kr	SYM
ejpam-5203	341	7	)	)	PUNCT
ejpam-5203	342	1	n	n	CCONJ
ejpam-5203	342	2	(	(	PUNCT
ejpam-5203	342	3	x;λ	x;λ	PROPN
ejpam-5203	342	4	,	,	PUNCT
ejpam-5203	342	5	a	a	DET
ejpam-5203	342	6	,	,	PUNCT
ejpam-5203	342	7	b	b	NOUN
ejpam-5203	342	8	,	,	PUNCT
ejpam-5203	342	9	c	c	NOUN
ejpam-5203	342	10	)	)	PUNCT
ejpam-5203	342	11	tn	tn	PROPN
ejpam-5203	342	12	n	n	CCONJ
ejpam-5203	342	13	!	!	PUNCT
ejpam-5203	342	14	)	)	PUNCT
ejpam-5203	343	1	(	(	PUNCT
ejpam-5203	343	2	∞∑	∞∑	NUM
ejpam-5203	343	3	n=0	n=0	NUM
ejpam-5203	343	4	(	(	PUNCT
ejpam-5203	343	5	yr	yr	PROPN
ejpam-5203	343	6	ln	ln	PROPN
ejpam-5203	343	7	c)n	c)n	PROPN
ejpam-5203	343	8	tn	tn	PROPN
ejpam-5203	343	9	n	n	CCONJ
ejpam-5203	343	10	!	!	PUNCT
ejpam-5203	343	11	)	)	PUNCT
ejpam-5203	344	1	using	use	VERB
ejpam-5203	344	2	the	the	DET
ejpam-5203	344	3	product	product	NOUN
ejpam-5203	344	4	of	of	ADP
ejpam-5203	344	5	two	two	NUM
ejpam-5203	344	6	generating	generate	VERB
ejpam-5203	344	7	function	function	NOUN
ejpam-5203	344	8	,	,	PUNCT
ejpam-5203	344	9	=	=	PUNCT
ejpam-5203	344	10	∞∑	∞∑	NUM
ejpam-5203	344	11	n=0	n=0	NUM
ejpam-5203	344	12	(	(	PUNCT
ejpam-5203	344	13	n∑	n∑	NOUN
ejpam-5203	344	14	i=0	i=0	PROPN
ejpam-5203	344	15	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	344	16	...	...	PUNCT
ejpam-5203	344	17	,kr	,kr	ADJ
ejpam-5203	344	18	)	)	PUNCT
ejpam-5203	344	19	n−i	n−i	NOUN
ejpam-5203	344	20	(	(	PUNCT
ejpam-5203	344	21	x;λ	x;λ	PROPN
ejpam-5203	344	22	,	,	PUNCT
ejpam-5203	344	23	a	a	DET
ejpam-5203	344	24	,	,	PUNCT
ejpam-5203	344	25	b	b	NOUN
ejpam-5203	344	26	,	,	PUNCT
ejpam-5203	344	27	c	c	NOUN
ejpam-5203	344	28	)	)	PUNCT
ejpam-5203	344	29	tn−i	tn−i	NOUN
ejpam-5203	344	30	(	(	PUNCT
ejpam-5203	344	31	n−	n−	NOUN
ejpam-5203	344	32	i	i	NOUN
ejpam-5203	344	33	)	)	PUNCT
ejpam-5203	344	34	!	!	PUNCT
ejpam-5203	344	35	)	)	PUNCT
ejpam-5203	345	1	(	(	PUNCT
ejpam-5203	345	2	ln	ln	X
ejpam-5203	345	3	c)i	c)i	X
ejpam-5203	345	4	ti	ti	X
ejpam-5203	345	5	i	i	PROPN
ejpam-5203	345	6	!	!	PUNCT
ejpam-5203	345	7	m.	m.	PROPN
ejpam-5203	345	8	laurente	laurente	PROPN
ejpam-5203	345	9	,	,	PUNCT
ejpam-5203	345	10	az	az	PROPN
ejpam-5203	345	11	d.	d.	PROPN
ejpam-5203	345	12	ababa	ababa	PROPN
ejpam-5203	345	13	/	/	SYM
ejpam-5203	345	14	eur	eur	PROPN
ejpam-5203	345	15	.	.	PUNCT
ejpam-5203	346	1	j.	j.	PROPN
ejpam-5203	346	2	pure	pure	PROPN
ejpam-5203	346	3	appl	appl	PROPN
ejpam-5203	346	4	.	.	PROPN
ejpam-5203	346	5	math	math	PROPN
ejpam-5203	346	6	,	,	PUNCT
ejpam-5203	346	7	18	18	NUM
ejpam-5203	346	8	(	(	PUNCT
ejpam-5203	346	9	4	4	NUM
ejpam-5203	346	10	)	)	PUNCT
ejpam-5203	346	11	(	(	PUNCT
ejpam-5203	346	12	2025	2025	NUM
ejpam-5203	346	13	)	)	PUNCT
ejpam-5203	346	14	,	,	PUNCT
ejpam-5203	346	15	5203	5203	NUM
ejpam-5203	346	16	14	14	NUM
ejpam-5203	346	17	of	of	ADP
ejpam-5203	346	18	19	19	NUM
ejpam-5203	346	19	and	and	CCONJ
ejpam-5203	346	20	we	we	PRON
ejpam-5203	346	21	multiply	multiply	VERB
ejpam-5203	346	22	it	it	PRON
ejpam-5203	346	23	by	by	ADP
ejpam-5203	346	24	i	i	PRON
ejpam-5203	346	25	!	!	PUNCT
ejpam-5203	347	1	i	i	PRON
ejpam-5203	347	2	!	!	PUNCT
ejpam-5203	348	1	,	,	PUNCT
ejpam-5203	348	2	so	so	ADV
ejpam-5203	348	3	we	we	PRON
ejpam-5203	348	4	have	have	VERB
ejpam-5203	348	5	,	,	PUNCT
ejpam-5203	348	6	=	=	SYM
ejpam-5203	348	7	∞∑	∞∑	NUM
ejpam-5203	348	8	n=0	n=0	NUM
ejpam-5203	348	9	(	(	PUNCT
ejpam-5203	348	10	n∑	n∑	NOUN
ejpam-5203	348	11	i=0	i=0	PROPN
ejpam-5203	348	12	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	348	13	...	...	PUNCT
ejpam-5203	348	14	,kr	,kr	SYM
ejpam-5203	348	15	)	)	PUNCT
ejpam-5203	349	1	r	r	NOUN
ejpam-5203	349	2	(	(	PUNCT
ejpam-5203	349	3	x;λ	x;λ	PROPN
ejpam-5203	349	4	,	,	PUNCT
ejpam-5203	349	5	a	a	DET
ejpam-5203	349	6	,	,	PUNCT
ejpam-5203	349	7	b	b	NOUN
ejpam-5203	349	8	,	,	PUNCT
ejpam-5203	349	9	c	c	NOUN
ejpam-5203	349	10	)	)	PUNCT
ejpam-5203	349	11	tn−i	tn−i	NOUN
ejpam-5203	349	12	(	(	PUNCT
ejpam-5203	349	13	n−	n−	NOUN
ejpam-5203	349	14	i	i	NOUN
ejpam-5203	349	15	)	)	PUNCT
ejpam-5203	349	16	!	!	PUNCT
ejpam-5203	349	17	)	)	PUNCT
ejpam-5203	350	1	(	(	PUNCT
ejpam-5203	350	2	ln	ln	X
ejpam-5203	350	3	c)i	c)i	X
ejpam-5203	350	4	ti	ti	X
ejpam-5203	350	5	i	i	NOUN
ejpam-5203	350	6	!	!	PUNCT
ejpam-5203	351	1	i	i	PRON
ejpam-5203	351	2	!	!	PUNCT
ejpam-5203	352	1	i	i	PRON
ejpam-5203	352	2	!	!	PUNCT
ejpam-5203	353	1	=	=	PUNCT
ejpam-5203	354	1	∞∑	∞∑	NUM
ejpam-5203	354	2	n=0	n=0	NUM
ejpam-5203	354	3	(	(	PUNCT
ejpam-5203	354	4	n∑	n∑	NOUN
ejpam-5203	354	5	i=0	i=0	PROPN
ejpam-5203	354	6	(	(	PUNCT
ejpam-5203	354	7	n	n	NOUN
ejpam-5203	354	8	i	i	PRON
ejpam-5203	354	9	)	)	PUNCT
ejpam-5203	354	10	(	(	PUNCT
ejpam-5203	354	11	yr	yr	AUX
ejpam-5203	354	12	ln	ln	ADJ
ejpam-5203	354	13	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-5203	354	14	...	...	PUNCT
ejpam-5203	354	15	,kr	,kr	X
ejpam-5203	354	16	)	)	PUNCT
ejpam-5203	355	1	i	i	PRON
ejpam-5203	355	2	(	(	PUNCT
ejpam-5203	355	3	x;λ	x;λ	PROPN
ejpam-5203	355	4	,	,	PUNCT
ejpam-5203	355	5	a	a	DET
ejpam-5203	355	6	,	,	PUNCT
ejpam-5203	355	7	b	b	NOUN
ejpam-5203	355	8	,	,	PUNCT
ejpam-5203	355	9	c	c	NOUN
ejpam-5203	355	10	)	)	PUNCT
ejpam-5203	355	11	)	)	PUNCT
ejpam-5203	355	12	tn	tn	PROPN
ejpam-5203	355	13	n	n	CCONJ
ejpam-5203	355	14	!	!	PUNCT
ejpam-5203	355	15	=	=	NOUN
ejpam-5203	356	1	∞∑	∞∑	NUM
ejpam-5203	356	2	n=0	n=0	NUM
ejpam-5203	356	3	(	(	PUNCT
ejpam-5203	356	4	n∑	n∑	NOUN
ejpam-5203	356	5	i=0	i=0	PROPN
ejpam-5203	356	6	(	(	PUNCT
ejpam-5203	356	7	n	n	NOUN
ejpam-5203	356	8	i	i	PRON
ejpam-5203	356	9	)	)	PUNCT
ejpam-5203	356	10	(	(	PUNCT
ejpam-5203	356	11	r	r	X
ejpam-5203	356	12	ln	ln	ADJ
ejpam-5203	356	13	c)n−ig(k1,k2,	c)n−ig(k1,k2,	NOUN
ejpam-5203	356	14	...	...	PUNCT
ejpam-5203	356	15	,kr	,kr	X
ejpam-5203	356	16	)	)	PUNCT
ejpam-5203	357	1	i	i	PRON
ejpam-5203	357	2	(	(	PUNCT
ejpam-5203	357	3	x;λ	x;λ	PROPN
ejpam-5203	357	4	,	,	PUNCT
ejpam-5203	357	5	a	a	DET
ejpam-5203	357	6	,	,	PUNCT
ejpam-5203	357	7	b	b	NOUN
ejpam-5203	357	8	,	,	PUNCT
ejpam-5203	357	9	c)yn−i	c)yn−i	PROPN
ejpam-5203	357	10	)	)	PUNCT
ejpam-5203	357	11	tn	tn	PROPN
ejpam-5203	357	12	n	n	PROPN
ejpam-5203	357	13	!	!	PUNCT
ejpam-5203	357	14	comparing	compare	VERB
ejpam-5203	357	15	the	the	DET
ejpam-5203	357	16	coefficients	coefficient	NOUN
ejpam-5203	357	17	of	of	ADP
ejpam-5203	357	18	tn	tn	NOUN
ejpam-5203	357	19	n	n	X
ejpam-5203	357	20	!	!	PUNCT
ejpam-5203	357	21	yields	yield	VERB
ejpam-5203	357	22	the	the	DET
ejpam-5203	357	23	desired	desire	VERB
ejpam-5203	357	24	result	result	NOUN
ejpam-5203	357	25	.	.	PUNCT
ejpam-5203	358	1	when	when	SCONJ
ejpam-5203	358	2	c	c	NOUN
ejpam-5203	358	3	=	=	SYM
ejpam-5203	358	4	e1	e1	PROPN
ejpam-5203	358	5	/	/	SYM
ejpam-5203	358	6	r	r	NOUN
ejpam-5203	358	7	,	,	PUNCT
ejpam-5203	358	8	the	the	DET
ejpam-5203	358	9	next	next	ADJ
ejpam-5203	358	10	corollary	corollary	NOUN
ejpam-5203	358	11	is	be	AUX
ejpam-5203	358	12	obtained	obtain	VERB
ejpam-5203	358	13	.	.	PUNCT
ejpam-5203	359	1	corollary	corollary	ADJ
ejpam-5203	359	2	4.9	4.9	NUM
ejpam-5203	359	3	.	.	PUNCT
ejpam-5203	360	1	an	an	DET
ejpam-5203	360	2	apostol	apostol	NOUN
ejpam-5203	360	3	-	-	PUNCT
ejpam-5203	360	4	type	type	NOUN
ejpam-5203	360	5	of	of	ADP
ejpam-5203	360	6	multi	multi	ADJ
ejpam-5203	360	7	poly	poly	ADJ
ejpam-5203	360	8	-	-	PUNCT
ejpam-5203	360	9	genocchi	genocchi	NOUN
ejpam-5203	360	10	polynomials	polynomial	NOUN
ejpam-5203	360	11	satisfy	satisfy	VERB
ejpam-5203	360	12	the	the	DET
ejpam-5203	360	13	following	follow	VERB
ejpam-5203	360	14	addition	addition	NOUN
ejpam-5203	360	15	formula	formula	NOUN
ejpam-5203	360	16	:	:	PUNCT
ejpam-5203	360	17	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	360	18	...	...	PUNCT
ejpam-5203	360	19	,kr	,kr	SYM
ejpam-5203	360	20	)	)	PUNCT
ejpam-5203	361	1	n	n	CCONJ
ejpam-5203	361	2	(	(	PUNCT
ejpam-5203	361	3	x+	x+	PROPN
ejpam-5203	361	4	y;λ	y;λ	PROPN
ejpam-5203	361	5	,	,	PUNCT
ejpam-5203	361	6	a	a	PRON
ejpam-5203	361	7	,	,	PUNCT
ejpam-5203	361	8	b	b	NOUN
ejpam-5203	361	9	,	,	PUNCT
ejpam-5203	361	10	e1	e1	NOUN
ejpam-5203	361	11	/	/	SYM
ejpam-5203	361	12	r	r	NOUN
ejpam-5203	361	13	)	)	PUNCT
ejpam-5203	362	1	=	=	SYM
ejpam-5203	362	2	n∑	n∑	PROPN
ejpam-5203	362	3	i=0	i=0	PROPN
ejpam-5203	362	4	(	(	PUNCT
ejpam-5203	362	5	n	n	X
ejpam-5203	362	6	i	i	PRON
ejpam-5203	362	7	)	)	PUNCT
ejpam-5203	362	8	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	362	9	...	...	PUNCT
ejpam-5203	362	10	,kr	,kr	X
ejpam-5203	362	11	)	)	PUNCT
ejpam-5203	363	1	i	i	PRON
ejpam-5203	363	2	(	(	PUNCT
ejpam-5203	363	3	x;λ	x;λ	PROPN
ejpam-5203	363	4	,	,	PUNCT
ejpam-5203	363	5	a	a	DET
ejpam-5203	363	6	,	,	PUNCT
ejpam-5203	363	7	b	b	NOUN
ejpam-5203	363	8	,	,	PUNCT
ejpam-5203	363	9	e1	e1	NOUN
ejpam-5203	363	10	/	/	SYM
ejpam-5203	363	11	r)yn−i	r)yn−i	NOUN
ejpam-5203	363	12	,	,	PUNCT
ejpam-5203	363	13	y	y	PROPN
ejpam-5203	363	14	̸=	̸=	PROPN
ejpam-5203	363	15	0	0	NUM
ejpam-5203	363	16	.	.	PUNCT
ejpam-5203	364	1	theorem	theorem	VERB
ejpam-5203	364	2	4.10	4.10	NUM
ejpam-5203	364	3	.	.	PUNCT
ejpam-5203	365	1	an	an	DET
ejpam-5203	365	2	apostol	apostol	NOUN
ejpam-5203	365	3	-	-	PUNCT
ejpam-5203	365	4	type	type	NOUN
ejpam-5203	365	5	multi	multi	NOUN
ejpam-5203	365	6	of	of	ADP
ejpam-5203	365	7	poly	poly	ADJ
ejpam-5203	365	8	-	-	PUNCT
ejpam-5203	365	9	genocchi	genocchi	NOUN
ejpam-5203	365	10	polynomials	polynomial	NOUN
ejpam-5203	365	11	satisfy	satisfy	VERB
ejpam-5203	365	12	the	the	DET
ejpam-5203	365	13	following	follow	VERB
ejpam-5203	365	14	explicit	explicit	ADJ
ejpam-5203	365	15	formulas	formula	NOUN
ejpam-5203	365	16	:	:	PUNCT
ejpam-5203	365	17	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	365	18	...	...	PUNCT
ejpam-5203	365	19	,kr	,kr	SYM
ejpam-5203	365	20	)	)	PUNCT
ejpam-5203	365	21	n	n	CCONJ
ejpam-5203	365	22	(	(	PUNCT
ejpam-5203	365	23	x;λ	x;λ	PROPN
ejpam-5203	365	24	,	,	PUNCT
ejpam-5203	365	25	a	a	DET
ejpam-5203	365	26	,	,	PUNCT
ejpam-5203	365	27	b	b	NOUN
ejpam-5203	365	28	,	,	PUNCT
ejpam-5203	365	29	c	c	NOUN
ejpam-5203	365	30	)	)	PUNCT
ejpam-5203	365	31	=	=	SYM
ejpam-5203	366	1	∞∑	∞∑	NUM
ejpam-5203	366	2	m=0	m=0	PROPN
ejpam-5203	366	3	n∑	n∑	PROPN
ejpam-5203	366	4	l	l	PROPN
ejpam-5203	366	5	=	=	NOUN
ejpam-5203	366	6	m	m	NOUN
ejpam-5203	366	7	{	{	PUNCT
ejpam-5203	366	8	l	l	NOUN
ejpam-5203	366	9	m	m	VERB
ejpam-5203	366	10	}	}	PUNCT
ejpam-5203	366	11	(	(	PUNCT
ejpam-5203	366	12	n	n	X
ejpam-5203	366	13	l	l	NOUN
ejpam-5203	366	14	)	)	PUNCT
ejpam-5203	366	15	(	(	PUNCT
ejpam-5203	366	16	r	r	X
ejpam-5203	366	17	ln	ln	ADJ
ejpam-5203	366	18	c)lg(k1,k2,	c)lg(k1,k2,	PROPN
ejpam-5203	366	19	...	...	PUNCT
ejpam-5203	366	20	,kr	,kr	X
ejpam-5203	366	21	)	)	PUNCT
ejpam-5203	366	22	n−l	n−l	PROPN
ejpam-5203	366	23	(	(	PUNCT
ejpam-5203	366	24	−m	−m	INTJ
ejpam-5203	366	25	ln	ln	NOUN
ejpam-5203	366	26	c;λ	c;λ	PROPN
ejpam-5203	366	27	,	,	PUNCT
ejpam-5203	366	28	a	a	DET
ejpam-5203	366	29	,	,	PUNCT
ejpam-5203	366	30	b)(x)(m	b)(x)(m	PROPN
ejpam-5203	366	31	)	)	PUNCT
ejpam-5203	366	32	(	(	PUNCT
ejpam-5203	366	33	27	27	NUM
ejpam-5203	366	34	)	)	PUNCT
ejpam-5203	366	35	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	366	36	...	...	PUNCT
ejpam-5203	366	37	,kr	,kr	SYM
ejpam-5203	366	38	)	)	PUNCT
ejpam-5203	367	1	n	n	CCONJ
ejpam-5203	367	2	(	(	PUNCT
ejpam-5203	367	3	x;λ	x;λ	PROPN
ejpam-5203	367	4	,	,	PUNCT
ejpam-5203	367	5	a	a	DET
ejpam-5203	367	6	,	,	PUNCT
ejpam-5203	367	7	b	b	NOUN
ejpam-5203	367	8	,	,	PUNCT
ejpam-5203	367	9	c	c	NOUN
ejpam-5203	367	10	)	)	PUNCT
ejpam-5203	367	11	=	=	SYM
ejpam-5203	368	1	∞∑	∞∑	NUM
ejpam-5203	368	2	m=0	m=0	PROPN
ejpam-5203	368	3	n∑	n∑	PROPN
ejpam-5203	368	4	l	l	PROPN
ejpam-5203	368	5	=	=	NOUN
ejpam-5203	368	6	m	m	NOUN
ejpam-5203	368	7	{	{	PUNCT
ejpam-5203	368	8	l	l	NOUN
ejpam-5203	368	9	m	m	VERB
ejpam-5203	368	10	}	}	PUNCT
ejpam-5203	368	11	(	(	PUNCT
ejpam-5203	368	12	n	n	X
ejpam-5203	368	13	l	l	NOUN
ejpam-5203	368	14	)	)	PUNCT
ejpam-5203	368	15	(	(	PUNCT
ejpam-5203	368	16	r	r	X
ejpam-5203	368	17	ln	ln	ADJ
ejpam-5203	368	18	c)lg(k1,k2,	c)lg(k1,k2,	PROPN
ejpam-5203	368	19	...	...	PUNCT
ejpam-5203	368	20	,kr	,kr	X
ejpam-5203	368	21	)	)	PUNCT
ejpam-5203	368	22	n−l	n−l	PROPN
ejpam-5203	368	23	(	(	PUNCT
ejpam-5203	368	24	λ	λ	PROPN
ejpam-5203	368	25	,	,	PUNCT
ejpam-5203	368	26	a	a	PRON
ejpam-5203	368	27	,	,	PUNCT
ejpam-5203	368	28	b)(x)m	b)(x)m	X
ejpam-5203	368	29	(	(	PUNCT
ejpam-5203	368	30	28	28	NUM
ejpam-5203	368	31	)	)	PUNCT
ejpam-5203	368	32	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	368	33	...	...	PUNCT
ejpam-5203	368	34	,kr	,kr	SYM
ejpam-5203	368	35	)	)	PUNCT
ejpam-5203	369	1	n	n	CCONJ
ejpam-5203	369	2	(	(	PUNCT
ejpam-5203	369	3	x;λ	x;λ	PROPN
ejpam-5203	369	4	,	,	PUNCT
ejpam-5203	369	5	a	a	DET
ejpam-5203	369	6	,	,	PUNCT
ejpam-5203	369	7	b	b	NOUN
ejpam-5203	369	8	,	,	PUNCT
ejpam-5203	369	9	c	c	NOUN
ejpam-5203	369	10	)	)	PUNCT
ejpam-5203	369	11	=	=	SYM
ejpam-5203	369	12	n∑	n∑	PROPN
ejpam-5203	369	13	l=0	l=0	PROPN
ejpam-5203	369	14	n−l∑	n−l∑	X
ejpam-5203	369	15	m=0	m=0	PROPN
ejpam-5203	369	16	(	(	PUNCT
ejpam-5203	369	17	n	n	X
ejpam-5203	369	18	l	l	NOUN
ejpam-5203	369	19	)	)	PUNCT
ejpam-5203	369	20	{	{	PUNCT
ejpam-5203	370	1	l	l	NOUN
ejpam-5203	371	1	+	+	SYM
ejpam-5203	371	2	s	s	X
ejpam-5203	371	3	s	s	X
ejpam-5203	371	4	}	}	PUNCT
ejpam-5203	371	5	(	(	PUNCT
ejpam-5203	371	6	n−l	n−l	NOUN
ejpam-5203	371	7	m	m	VERB
ejpam-5203	371	8	)	)	PUNCT
ejpam-5203	371	9	(	(	PUNCT
ejpam-5203	371	10	l+s	l+s	PROPN
ejpam-5203	371	11	s	s	PART
ejpam-5203	371	12	)	)	PUNCT
ejpam-5203	371	13	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	371	14	...	...	PUNCT
ejpam-5203	371	15	,kr	,kr	NOUN
ejpam-5203	371	16	)	)	PUNCT
ejpam-5203	371	17	n−l−m	n−l−m	NUM
ejpam-5203	371	18	(	(	PUNCT
ejpam-5203	371	19	λ	λ	PROPN
ejpam-5203	371	20	,	,	PUNCT
ejpam-5203	371	21	a	a	PRON
ejpam-5203	371	22	,	,	PUNCT
ejpam-5203	371	23	b)b(s	b)b(	NOUN
ejpam-5203	371	24	)	)	PUNCT
ejpam-5203	371	25	m	m	VERB
ejpam-5203	371	26	(	(	PUNCT
ejpam-5203	371	27	rx	rx	VERB
ejpam-5203	371	28	ln	ln	ADJ
ejpam-5203	371	29	c	c	NOUN
ejpam-5203	371	30	)	)	PUNCT
ejpam-5203	371	31	(	(	PUNCT
ejpam-5203	371	32	29	29	NUM
ejpam-5203	371	33	)	)	PUNCT
ejpam-5203	372	1	where	where	SCONJ
ejpam-5203	372	2	(	(	PUNCT
ejpam-5203	372	3	x)(n	x)(n	NUM
ejpam-5203	372	4	)	)	PUNCT
ejpam-5203	372	5	=	=	PUNCT
ejpam-5203	373	1	x(x+	x(x+	ADJ
ejpam-5203	373	2	1	1	NUM
ejpam-5203	373	3	)	)	PUNCT
ejpam-5203	373	4	·	·	PUNCT
ejpam-5203	373	5	·	·	PUNCT
ejpam-5203	374	1	·	·	PUNCT
ejpam-5203	374	2	(	(	PUNCT
ejpam-5203	374	3	x+	x+	X
ejpam-5203	374	4	n−	n−	NOUN
ejpam-5203	374	5	1	1	NUM
ejpam-5203	374	6	)	)	PUNCT
ejpam-5203	374	7	,	,	PUNCT
ejpam-5203	374	8	(	(	PUNCT
ejpam-5203	374	9	x)n	x)n	PUNCT
ejpam-5203	374	10	=	=	SYM
ejpam-5203	374	11	x(x−	x(x−	PROPN
ejpam-5203	374	12	1	1	NUM
ejpam-5203	374	13	)	)	PUNCT
ejpam-5203	374	14	·	·	PUNCT
ejpam-5203	374	15	·	·	PUNCT
ejpam-5203	374	16	·	·	PUNCT
ejpam-5203	375	1	(	(	PUNCT
ejpam-5203	375	2	x−	x−	PROPN
ejpam-5203	375	3	n+	n+	PROPN
ejpam-5203	375	4	1	1	NUM
ejpam-5203	375	5	)	)	PUNCT
ejpam-5203	375	6	,	,	PUNCT
ejpam-5203	375	7	and	and	CCONJ
ejpam-5203	375	8	(	(	PUNCT
ejpam-5203	375	9	t	t	NOUN
ejpam-5203	375	10	et	et	NOUN
ejpam-5203	375	11	−	−	NOUN
ejpam-5203	375	12	1	1	NUM
ejpam-5203	375	13	)	)	PUNCT
ejpam-5203	375	14	s	s	PART
ejpam-5203	375	15	ext	ext	NOUN
ejpam-5203	375	16	=	=	NOUN
ejpam-5203	375	17	∞∑	∞∑	NUM
ejpam-5203	375	18	n=0	n=0	NUM
ejpam-5203	375	19	b(s	b(	NOUN
ejpam-5203	375	20	)	)	PUNCT
ejpam-5203	375	21	n	n	CCONJ
ejpam-5203	375	22	(	(	PUNCT
ejpam-5203	375	23	x	x	X
ejpam-5203	375	24	)	)	PUNCT
ejpam-5203	375	25	tn	tn	PROPN
ejpam-5203	375	26	n	n	NOUN
ejpam-5203	375	27	!	!	PUNCT
ejpam-5203	376	1	proof	proof	NOUN
ejpam-5203	376	2	.	.	PUNCT
ejpam-5203	377	1	first	first	ADV
ejpam-5203	377	2	,	,	PUNCT
ejpam-5203	377	3	we	we	PRON
ejpam-5203	377	4	prove	prove	VERB
ejpam-5203	377	5	27	27	NUM
ejpam-5203	377	6	.	.	PUNCT
ejpam-5203	378	1	using	use	VERB
ejpam-5203	378	2	equation	equation	NOUN
ejpam-5203	378	3	19	19	NUM
ejpam-5203	378	4	of	of	ADP
ejpam-5203	378	5	definition	definition	NOUN
ejpam-5203	378	6	(	(	PUNCT
ejpam-5203	378	7	4.1	4.1	NUM
ejpam-5203	378	8	)	)	PUNCT
ejpam-5203	378	9	and	and	CCONJ
ejpam-5203	378	10	rewrite	rewrite	VERB
ejpam-5203	378	11	erxt	erxt	PROPN
ejpam-5203	378	12	ln	ln	PROPN
ejpam-5203	378	13	c	c	PROPN
ejpam-5203	378	14	=	=	SYM
ejpam-5203	378	15	(	(	PUNCT
ejpam-5203	378	16	e−rt	e−rt	X
ejpam-5203	378	17	ln	ln	NOUN
ejpam-5203	378	18	c)−x	c)−x	PROPN
ejpam-5203	378	19	=	=	PUNCT
ejpam-5203	379	1	[	[	PUNCT
ejpam-5203	379	2	1−	1−	NUM
ejpam-5203	379	3	(	(	PUNCT
ejpam-5203	379	4	1−	1−	NUM
ejpam-5203	379	5	e−rt	e−rt	X
ejpam-5203	379	6	ln	ln	NOUN
ejpam-5203	379	7	c	c	NOUN
ejpam-5203	379	8	)	)	PUNCT
ejpam-5203	379	9	]	]	PUNCT
ejpam-5203	379	10	−x	−x	INTJ
ejpam-5203	379	11	we	we	PRON
ejpam-5203	379	12	have	have	VERB
ejpam-5203	379	13	,	,	PUNCT
ejpam-5203	379	14	∞∑	∞∑	ADJ
ejpam-5203	379	15	n=0	n=0	NUM
ejpam-5203	379	16	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	379	17	...	...	PUNCT
ejpam-5203	379	18	,kr	,kr	SYM
ejpam-5203	379	19	)	)	PUNCT
ejpam-5203	379	20	n	n	CCONJ
ejpam-5203	379	21	(	(	PUNCT
ejpam-5203	379	22	x;λ	x;λ	PROPN
ejpam-5203	379	23	,	,	PUNCT
ejpam-5203	379	24	a	a	DET
ejpam-5203	379	25	,	,	PUNCT
ejpam-5203	379	26	b	b	NOUN
ejpam-5203	379	27	,	,	PUNCT
ejpam-5203	379	28	c	c	NOUN
ejpam-5203	379	29	)	)	PUNCT
ejpam-5203	379	30	tn	tn	PROPN
ejpam-5203	379	31	n	n	CCONJ
ejpam-5203	379	32	!	!	PUNCT
ejpam-5203	380	1	=	=	PRON
ejpam-5203	380	2	lik(1−	lik(1−	ADJ
ejpam-5203	380	3	(	(	PUNCT
ejpam-5203	380	4	ab)−2	ab)−2	NOUN
ejpam-5203	380	5	t	t	NOUN
ejpam-5203	380	6	)	)	PUNCT
ejpam-5203	380	7	(	(	PUNCT
ejpam-5203	380	8	a−t	a−t	NOUN
ejpam-5203	380	9	+	+	CCONJ
ejpam-5203	380	10	bt)r	bt)r	PROPN
ejpam-5203	380	11	[	[	PUNCT
ejpam-5203	380	12	1−	1−	NUM
ejpam-5203	380	13	(	(	PUNCT
ejpam-5203	380	14	1−	1−	NUM
ejpam-5203	380	15	e−rt	e−rt	X
ejpam-5203	380	16	ln	ln	NOUN
ejpam-5203	380	17	c	c	NOUN
ejpam-5203	380	18	)	)	PUNCT
ejpam-5203	380	19	]	]	PUNCT
ejpam-5203	380	20	−x	−x	NOUN
ejpam-5203	380	21	.	.	PUNCT
ejpam-5203	381	1	m.	m.	NOUN
ejpam-5203	381	2	laurente	laurente	PROPN
ejpam-5203	381	3	,	,	PUNCT
ejpam-5203	381	4	az	az	PROPN
ejpam-5203	381	5	d.	d.	PROPN
ejpam-5203	381	6	ababa	ababa	PROPN
ejpam-5203	381	7	/	/	SYM
ejpam-5203	381	8	eur	eur	PROPN
ejpam-5203	381	9	.	.	PUNCT
ejpam-5203	382	1	j.	j.	PROPN
ejpam-5203	382	2	pure	pure	PROPN
ejpam-5203	382	3	appl	appl	PROPN
ejpam-5203	382	4	.	.	PROPN
ejpam-5203	382	5	math	math	PROPN
ejpam-5203	382	6	,	,	PUNCT
ejpam-5203	382	7	18	18	NUM
ejpam-5203	382	8	(	(	PUNCT
ejpam-5203	382	9	4	4	NUM
ejpam-5203	382	10	)	)	PUNCT
ejpam-5203	382	11	(	(	PUNCT
ejpam-5203	382	12	2025	2025	NUM
ejpam-5203	382	13	)	)	PUNCT
ejpam-5203	382	14	,	,	PUNCT
ejpam-5203	382	15	5203	5203	NUM
ejpam-5203	382	16	15	15	NUM
ejpam-5203	382	17	of	of	ADP
ejpam-5203	382	18	19	19	NUM
ejpam-5203	382	19	using	use	VERB
ejpam-5203	382	20	generalized	generalized	ADJ
ejpam-5203	382	21	binomial	binomial	ADJ
ejpam-5203	382	22	theorem	theorem	NOUN
ejpam-5203	382	23	and	and	CCONJ
ejpam-5203	382	24	the	the	DET
ejpam-5203	382	25	definition	definition	NOUN
ejpam-5203	382	26	of	of	ADP
ejpam-5203	382	27	stirling	stirling	NOUN
ejpam-5203	382	28	numbers	number	NOUN
ejpam-5203	382	29	of	of	ADP
ejpam-5203	382	30	second	second	ADJ
ejpam-5203	382	31	kind	kind	NOUN
ejpam-5203	382	32	we	we	PRON
ejpam-5203	382	33	have	have	VERB
ejpam-5203	382	34	,	,	PUNCT
ejpam-5203	382	35	∞∑	∞∑	ADJ
ejpam-5203	382	36	n=0	n=0	NUM
ejpam-5203	382	37	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	382	38	...	...	PUNCT
ejpam-5203	382	39	,kr	,kr	SYM
ejpam-5203	382	40	)	)	PUNCT
ejpam-5203	383	1	n	n	CCONJ
ejpam-5203	383	2	(	(	PUNCT
ejpam-5203	383	3	x;λ	x;λ	PROPN
ejpam-5203	383	4	,	,	PUNCT
ejpam-5203	383	5	a	a	DET
ejpam-5203	383	6	,	,	PUNCT
ejpam-5203	383	7	b	b	NOUN
ejpam-5203	383	8	,	,	PUNCT
ejpam-5203	383	9	c	c	NOUN
ejpam-5203	383	10	)	)	PUNCT
ejpam-5203	383	11	tn	tn	PROPN
ejpam-5203	383	12	n	n	CCONJ
ejpam-5203	383	13	!	!	PUNCT
ejpam-5203	384	1	=	=	PRON
ejpam-5203	384	2	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	384	3	...	...	PUNCT
ejpam-5203	384	4	,kr	,kr	PUNCT
ejpam-5203	384	5	(	(	PUNCT
ejpam-5203	384	6	1−	1−	NUM
ejpam-5203	384	7	(	(	PUNCT
ejpam-5203	384	8	ab)−2	ab)−2	NOUN
ejpam-5203	384	9	t	t	PROPN
ejpam-5203	384	10	)	)	PUNCT
ejpam-5203	384	11	(	(	PUNCT
ejpam-5203	384	12	a−t	a−t	NOUN
ejpam-5203	384	13	+	+	CCONJ
ejpam-5203	385	1	λbt)r	λbt)r	PROPN
ejpam-5203	385	2	∞∑	∞∑	PROPN
ejpam-5203	385	3	m=0	m=0	PROPN
ejpam-5203	385	4	(	(	PUNCT
ejpam-5203	385	5	x+m−	x+m−	PROPN
ejpam-5203	385	6	1	1	NUM
ejpam-5203	385	7	m	m	NOUN
ejpam-5203	385	8	)	)	PUNCT
ejpam-5203	385	9	(	(	PUNCT
ejpam-5203	385	10	1−	1−	NUM
ejpam-5203	385	11	e−rt	e−rt	X
ejpam-5203	385	12	ln	ln	NOUN
ejpam-5203	385	13	c)m	c)m	NOUN
ejpam-5203	385	14	=	=	SYM
ejpam-5203	385	15	∞∑	∞∑	NUM
ejpam-5203	385	16	m=0	m=0	PROPN
ejpam-5203	385	17	(	(	PUNCT
ejpam-5203	385	18	x)(m	x)(m	NUM
ejpam-5203	385	19	)	)	PUNCT
ejpam-5203	385	20	(	(	PUNCT
ejpam-5203	385	21	e	e	X
ejpam-5203	385	22	rt	rt	PROPN
ejpam-5203	385	23	ln	ln	PROPN
ejpam-5203	385	24	c	c	PROPN
ejpam-5203	385	25	−	−	PROPN
ejpam-5203	385	26	1)m	1)m	NUM
ejpam-5203	385	27	ert	ert	NOUN
ejpam-5203	385	28	ln	ln	PROPN
ejpam-5203	385	29	cm	cm	PROPN
ejpam-5203	385	30	!	!	PUNCT
ejpam-5203	385	31	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	385	32	...	...	PUNCT
ejpam-5203	385	33	,kr	,kr	PUNCT
ejpam-5203	385	34	(	(	PUNCT
ejpam-5203	385	35	1−	1−	NUM
ejpam-5203	385	36	(	(	PUNCT
ejpam-5203	385	37	ab)−2	ab)−2	NOUN
ejpam-5203	385	38	t	t	PROPN
ejpam-5203	385	39	)	)	PUNCT
ejpam-5203	385	40	(	(	PUNCT
ejpam-5203	385	41	a−t	a−t	NOUN
ejpam-5203	385	42	+	+	NOUN
ejpam-5203	386	1	λbt)r	λbt)r	PROPN
ejpam-5203	386	2	note	note	NOUN
ejpam-5203	386	3	that	that	SCONJ
ejpam-5203	386	4	(	(	PUNCT
ejpam-5203	386	5	x)(m	x)(m	NUM
ejpam-5203	386	6	)	)	PUNCT
ejpam-5203	386	7	=	=	PUNCT
ejpam-5203	387	1	x(x+	x(x+	ADJ
ejpam-5203	387	2	1	1	NUM
ejpam-5203	387	3	)	)	PUNCT
ejpam-5203	387	4	·	·	PUNCT
ejpam-5203	387	5	·	·	PUNCT
ejpam-5203	387	6	·	·	PUNCT
ejpam-5203	387	7	(	(	PUNCT
ejpam-5203	387	8	x+m−	x+m−	PROPN
ejpam-5203	387	9	1	1	NUM
ejpam-5203	387	10	)	)	PUNCT
ejpam-5203	387	11	(	(	PUNCT
ejpam-5203	387	12	x−	x−	PROPN
ejpam-5203	387	13	1	1	NUM
ejpam-5203	387	14	)	)	PUNCT
ejpam-5203	387	15	!	!	PUNCT
ejpam-5203	388	1	(	(	PUNCT
ejpam-5203	388	2	x−	x−	PROPN
ejpam-5203	388	3	1	1	NUM
ejpam-5203	388	4	)	)	PUNCT
ejpam-5203	388	5	!	!	PUNCT
ejpam-5203	389	1	=	=	PUNCT
ejpam-5203	390	1	(	(	PUNCT
ejpam-5203	390	2	x+m−	x+m−	PROPN
ejpam-5203	390	3	1	1	NUM
ejpam-5203	390	4	)	)	PUNCT
ejpam-5203	390	5	!	!	PUNCT
ejpam-5203	391	1	(	(	PUNCT
ejpam-5203	391	2	x−	x−	PROPN
ejpam-5203	391	3	1	1	NUM
ejpam-5203	391	4	)	)	PUNCT
ejpam-5203	391	5	!	!	PUNCT
ejpam-5203	392	1	,	,	PUNCT
ejpam-5203	392	2	so	so	ADV
ejpam-5203	392	3	we	we	PRON
ejpam-5203	392	4	have	have	VERB
ejpam-5203	392	5	∞∑	∞∑	NUM
ejpam-5203	392	6	n=0	n=0	NUM
ejpam-5203	392	7	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	392	8	...	...	PUNCT
ejpam-5203	392	9	,kr	,kr	X
ejpam-5203	392	10	)	)	PUNCT
ejpam-5203	392	11	n	n	CCONJ
ejpam-5203	392	12	x;λ	x;λ	NUM
ejpam-5203	392	13	,	,	PUNCT
ejpam-5203	392	14	a	a	DET
ejpam-5203	392	15	,	,	PUNCT
ejpam-5203	392	16	b	b	NOUN
ejpam-5203	392	17	,	,	PUNCT
ejpam-5203	392	18	c	c	NOUN
ejpam-5203	392	19	)	)	PUNCT
ejpam-5203	392	20	tn	tn	PROPN
ejpam-5203	392	21	n	n	CCONJ
ejpam-5203	392	22	!	!	PUNCT
ejpam-5203	392	23	=	=	NOUN
ejpam-5203	393	1	∞∑	∞∑	NUM
ejpam-5203	393	2	m=0	m=0	PROPN
ejpam-5203	393	3	(	(	PUNCT
ejpam-5203	393	4	x+m−	x+m−	PROPN
ejpam-5203	393	5	1	1	NUM
ejpam-5203	393	6	)	)	PUNCT
ejpam-5203	393	7	!	!	PUNCT
ejpam-5203	394	1	(	(	PUNCT
ejpam-5203	394	2	x−	x−	PROPN
ejpam-5203	394	3	1)!m	1)!m	NUM
ejpam-5203	394	4	!	!	PUNCT
ejpam-5203	395	1	(	(	PUNCT
ejpam-5203	395	2	ert	ert	X
ejpam-5203	395	3	ln	ln	NOUN
ejpam-5203	395	4	c	c	PROPN
ejpam-5203	396	1	−	−	PROPN
ejpam-5203	397	1	1	1	NUM
ejpam-5203	398	1	ert	ert	NOUN
ejpam-5203	398	2	ln	ln	PROPN
ejpam-5203	398	3	c	c	PROPN
ejpam-5203	398	4	)	)	PUNCT
ejpam-5203	398	5	m	m	VERB
ejpam-5203	398	6	lik(1−	lik(1−	ADJ
ejpam-5203	398	7	(	(	PUNCT
ejpam-5203	398	8	ab)−2	ab)−2	NOUN
ejpam-5203	398	9	t	t	NOUN
ejpam-5203	398	10	)	)	PUNCT
ejpam-5203	398	11	(	(	PUNCT
ejpam-5203	398	12	a−t	a−t	NOUN
ejpam-5203	398	13	+	+	NOUN
ejpam-5203	398	14	λbt)r	λbt)r	PROPN
ejpam-5203	398	15	=	=	PUNCT
ejpam-5203	398	16	∞∑	∞∑	NUM
ejpam-5203	398	17	m=0	m=0	PROPN
ejpam-5203	398	18	(	(	PUNCT
ejpam-5203	398	19	x+m−	x+m−	PROPN
ejpam-5203	398	20	1	1	NUM
ejpam-5203	398	21	)	)	PUNCT
ejpam-5203	398	22	!	!	PUNCT
ejpam-5203	399	1	(	(	PUNCT
ejpam-5203	399	2	x−	x−	PROPN
ejpam-5203	399	3	1	1	NUM
ejpam-5203	399	4	)	)	PUNCT
ejpam-5203	399	5	!	!	PUNCT
ejpam-5203	400	1	(	(	PUNCT
ejpam-5203	400	2	et	et	X
ejpam-5203	400	3	ln	ln	NOUN
ejpam-5203	400	4	c	c	PROPN
ejpam-5203	400	5	−	−	PROPN
ejpam-5203	400	6	1)m	1)m	NUM
ejpam-5203	400	7	m	m	NOUN
ejpam-5203	400	8	!	!	PUNCT
ejpam-5203	401	1	lik(1−	lik(1−	PROPN
ejpam-5203	401	2	(	(	PUNCT
ejpam-5203	401	3	ab)−2	ab)−2	NOUN
ejpam-5203	401	4	t	t	NOUN
ejpam-5203	401	5	)	)	PUNCT
ejpam-5203	401	6	(	(	PUNCT
ejpam-5203	401	7	a−t	a−t	NOUN
ejpam-5203	401	8	+	+	NOUN
ejpam-5203	402	1	λbt)r	λbt)r	PROPN
ejpam-5203	402	2	e−rmt	e−rmt	NOUN
ejpam-5203	402	3	ln	ln	NOUN
ejpam-5203	402	4	c	c	NOUN
ejpam-5203	402	5	=	=	PROPN
ejpam-5203	403	1	∞∑	∞∑	NUM
ejpam-5203	403	2	m=0	m=0	PROPN
ejpam-5203	403	3	(	(	PUNCT
ejpam-5203	403	4	x)(m	x)(m	NUM
ejpam-5203	403	5	)	)	PUNCT
ejpam-5203	403	6	∞∑	∞∑	NUM
ejpam-5203	403	7	n=0	n=0	NUM
ejpam-5203	403	8	{	{	PUNCT
ejpam-5203	403	9	n	n	NOUN
ejpam-5203	403	10	m	m	VERB
ejpam-5203	403	11	}	}	PUNCT
ejpam-5203	403	12	(	(	PUNCT
ejpam-5203	403	13	r	r	NOUN
ejpam-5203	403	14	ln	ln	PROPN
ejpam-5203	403	15	c)n	c)n	NOUN
ejpam-5203	403	16	tn	tn	PROPN
ejpam-5203	403	17	n	n	CCONJ
ejpam-5203	403	18	!	!	PUNCT
ejpam-5203	404	1	(	(	PUNCT
ejpam-5203	404	2	∞∑	∞∑	PRON
ejpam-5203	404	3	n=0	n=0	PUNCT
ejpam-5203	404	4	g(k	g(k	NOUN
ejpam-5203	404	5	)	)	PUNCT
ejpam-5203	404	6	n	n	CCONJ
ejpam-5203	404	7	(	(	PUNCT
ejpam-5203	404	8	−mr	−mr	NOUN
ejpam-5203	404	9	ln	ln	NOUN
ejpam-5203	405	1	c;λ	c;λ	PROPN
ejpam-5203	405	2	,	,	PUNCT
ejpam-5203	405	3	a	a	DET
ejpam-5203	405	4	,	,	PUNCT
ejpam-5203	405	5	b	b	NOUN
ejpam-5203	405	6	)	)	PUNCT
ejpam-5203	405	7	tn	tn	PROPN
ejpam-5203	405	8	n	n	NOUN
ejpam-5203	405	9	!	!	PUNCT
ejpam-5203	405	10	)	)	PUNCT
ejpam-5203	406	1	=	=	PUNCT
ejpam-5203	407	1	∞∑	∞∑	NUM
ejpam-5203	407	2	m=0	m=0	PROPN
ejpam-5203	407	3	(	(	PUNCT
ejpam-5203	407	4	x)(m	x)(m	PROPN
ejpam-5203	407	5	)	)	PUNCT
ejpam-5203	407	6	(	(	PUNCT
ejpam-5203	407	7	∞∑	∞∑	NUM
ejpam-5203	407	8	n=0	n=0	PROPN
ejpam-5203	407	9	{	{	PUNCT
ejpam-5203	407	10	n	n	NOUN
ejpam-5203	407	11	m	m	VERB
ejpam-5203	407	12	}	}	PUNCT
ejpam-5203	407	13	(	(	PUNCT
ejpam-5203	407	14	tr	tr	VERB
ejpam-5203	407	15	ln	ln	ADJ
ejpam-5203	407	16	c)n	c)n	NOUN
ejpam-5203	407	17	n	n	X
ejpam-5203	407	18	!	!	PUNCT
ejpam-5203	407	19	)	)	PUNCT
ejpam-5203	408	1	(	(	PUNCT
ejpam-5203	408	2	∞∑	∞∑	NUM
ejpam-5203	408	3	n=0	n=0	NUM
ejpam-5203	408	4	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	408	5	...	...	PUNCT
ejpam-5203	408	6	,kr	,kr	SYM
ejpam-5203	408	7	)	)	PUNCT
ejpam-5203	408	8	n	n	CCONJ
ejpam-5203	408	9	(	(	PUNCT
ejpam-5203	408	10	−m	−m	INTJ
ejpam-5203	408	11	ln	ln	NOUN
ejpam-5203	409	1	c;λ	c;λ	PROPN
ejpam-5203	409	2	,	,	PUNCT
ejpam-5203	409	3	a	a	DET
ejpam-5203	409	4	,	,	PUNCT
ejpam-5203	409	5	b	b	NOUN
ejpam-5203	409	6	)	)	PUNCT
ejpam-5203	409	7	tn	tn	PROPN
ejpam-5203	409	8	n	n	NOUN
ejpam-5203	409	9	!	!	PUNCT
ejpam-5203	409	10	)	)	PUNCT
ejpam-5203	410	1	=	=	PUNCT
ejpam-5203	411	1	∞∑	∞∑	NUM
ejpam-5203	411	2	m=0	m=0	PROPN
ejpam-5203	411	3	(	(	PUNCT
ejpam-5203	411	4	x)(m	x)(m	NUM
ejpam-5203	411	5	)	)	PUNCT
ejpam-5203	411	6	∞∑	∞∑	PRON
ejpam-5203	411	7	n=0	n=0	NUM
ejpam-5203	411	8	n∑	n∑	X
ejpam-5203	411	9	l=0	l=0	PROPN
ejpam-5203	411	10	{	{	PUNCT
ejpam-5203	411	11	l	l	NOUN
ejpam-5203	411	12	m	m	VERB
ejpam-5203	411	13	}	}	PUNCT
ejpam-5203	411	14	(	(	PUNCT
ejpam-5203	411	15	r	r	NOUN
ejpam-5203	411	16	ln	ln	ADJ
ejpam-5203	411	17	c)l	c)l	NOUN
ejpam-5203	411	18	tl	tl	PROPN
ejpam-5203	411	19	l	l	NOUN
ejpam-5203	411	20	!	!	PUNCT
ejpam-5203	412	1	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	412	2	...	...	PUNCT
ejpam-5203	412	3	,kr	,kr	SYM
ejpam-5203	412	4	)	)	PUNCT
ejpam-5203	412	5	n−l	n−l	PROPN
ejpam-5203	412	6	(	(	PUNCT
ejpam-5203	412	7	−m	−m	INTJ
ejpam-5203	412	8	ln	ln	NOUN
ejpam-5203	412	9	c;λ	c;λ	PROPN
ejpam-5203	412	10	,	,	PUNCT
ejpam-5203	412	11	a	a	DET
ejpam-5203	412	12	,	,	PUNCT
ejpam-5203	412	13	b	b	NOUN
ejpam-5203	412	14	)	)	PUNCT
ejpam-5203	412	15	tn−l	tn−l	PROPN
ejpam-5203	412	16	(	(	PUNCT
ejpam-5203	412	17	n−	n−	NOUN
ejpam-5203	412	18	l	l	NOUN
ejpam-5203	412	19	)	)	PUNCT
ejpam-5203	412	20	!	!	PUNCT
ejpam-5203	413	1	=	=	PUNCT
ejpam-5203	414	1	∞∑	∞∑	PRON
ejpam-5203	414	2	n=0	n=0	PRON
ejpam-5203	414	3	{	{	PUNCT
ejpam-5203	414	4	∞∑	∞∑	PROPN
ejpam-5203	414	5	m=0	m=0	PROPN
ejpam-5203	414	6	n∑	n∑	PROPN
ejpam-5203	414	7	l	l	PROPN
ejpam-5203	414	8	=	=	NOUN
ejpam-5203	414	9	m	m	NOUN
ejpam-5203	414	10	{	{	PUNCT
ejpam-5203	414	11	l	l	NOUN
ejpam-5203	414	12	m	m	VERB
ejpam-5203	414	13	}	}	PUNCT
ejpam-5203	414	14	(	(	PUNCT
ejpam-5203	414	15	n	n	X
ejpam-5203	414	16	l	l	NOUN
ejpam-5203	414	17	)	)	PUNCT
ejpam-5203	414	18	r	r	NOUN
ejpam-5203	414	19	ln	ln	ADJ
ejpam-5203	414	20	c)lg(k1,k2,	c)lg(k1,k2,	PROPN
ejpam-5203	414	21	...	...	PUNCT
ejpam-5203	414	22	,kr	,kr	X
ejpam-5203	414	23	)	)	PUNCT
ejpam-5203	414	24	n−l	n−l	PROPN
ejpam-5203	414	25	(	(	PUNCT
ejpam-5203	414	26	−m	−m	INTJ
ejpam-5203	414	27	ln	ln	NOUN
ejpam-5203	414	28	c;λ	c;λ	PROPN
ejpam-5203	414	29	,	,	PUNCT
ejpam-5203	414	30	a	a	DET
ejpam-5203	414	31	,	,	PUNCT
ejpam-5203	414	32	b)(x)(m	b)(x)(m	PROPN
ejpam-5203	414	33	)	)	PUNCT
ejpam-5203	414	34	}	}	PUNCT
ejpam-5203	414	35	tn	tn	PROPN
ejpam-5203	414	36	n	n	CCONJ
ejpam-5203	414	37	!	!	PUNCT
ejpam-5203	414	38	comparing	compare	VERB
ejpam-5203	414	39	the	the	DET
ejpam-5203	414	40	coefficients	coefficient	NOUN
ejpam-5203	414	41	of	of	ADP
ejpam-5203	414	42	tn	tn	NOUN
ejpam-5203	414	43	n	n	ADP
ejpam-5203	414	44	!	!	PROPN
ejpam-5203	414	45	completes	complete	VERB
ejpam-5203	414	46	the	the	DET
ejpam-5203	414	47	proof	proof	NOUN
ejpam-5203	414	48	of	of	ADP
ejpam-5203	414	49	equation	equation	NOUN
ejpam-5203	414	50	27	27	NUM
ejpam-5203	414	51	.	.	PUNCT
ejpam-5203	415	1	to	to	PART
ejpam-5203	415	2	prove	prove	VERB
ejpam-5203	415	3	identity	identity	NOUN
ejpam-5203	415	4	of	of	ADP
ejpam-5203	415	5	equation	equation	NOUN
ejpam-5203	415	6	28	28	NUM
ejpam-5203	415	7	,	,	PUNCT
ejpam-5203	415	8	express	express	VERB
ejpam-5203	415	9	erxt	erxt	PROPN
ejpam-5203	415	10	ln	ln	PROPN
ejpam-5203	415	11	c	c	PROPN
ejpam-5203	415	12	as	as	ADP
ejpam-5203	415	13	[	[	PUNCT
ejpam-5203	415	14	1	1	NUM
ejpam-5203	415	15	+	+	CCONJ
ejpam-5203	415	16	(	(	PUNCT
ejpam-5203	415	17	ert	ert	PROPN
ejpam-5203	415	18	ln	ln	PROPN
ejpam-5203	415	19	c	c	PROPN
ejpam-5203	416	1	−	−	PROPN
ejpam-5203	416	2	1	1	NUM
ejpam-5203	416	3	)	)	PUNCT
ejpam-5203	416	4	]	]	PUNCT
ejpam-5203	416	5	x	x	X
ejpam-5203	416	6	=	=	SYM
ejpam-5203	417	1	∞∑	∞∑	NUM
ejpam-5203	417	2	m=0	m=0	PROPN
ejpam-5203	417	3	(	(	PUNCT
ejpam-5203	417	4	x	x	NOUN
ejpam-5203	417	5	m	m	VERB
ejpam-5203	417	6	)	)	PUNCT
ejpam-5203	417	7	(	(	PUNCT
ejpam-5203	417	8	ert	ert	PROPN
ejpam-5203	417	9	ln	ln	PROPN
ejpam-5203	417	10	c	c	PROPN
ejpam-5203	417	11	−	−	PROPN
ejpam-5203	417	12	1)m	1)m	PROPN
ejpam-5203	418	1	and	and	CCONJ
ejpam-5203	418	2	take	take	VERB
ejpam-5203	418	3	note	note	NOUN
ejpam-5203	418	4	that	that	SCONJ
ejpam-5203	418	5	(	(	PUNCT
ejpam-5203	418	6	x)m	x)m	NOUN
ejpam-5203	418	7	=	=	SYM
ejpam-5203	418	8	x(x−	x(x−	PROPN
ejpam-5203	418	9	1	1	NUM
ejpam-5203	418	10	)	)	PUNCT
ejpam-5203	418	11	·	·	PUNCT
ejpam-5203	418	12	·	·	PUNCT
ejpam-5203	419	1	·	·	PUNCT
ejpam-5203	419	2	(	(	PUNCT
ejpam-5203	419	3	x−m+	x−m+	PROPN
ejpam-5203	419	4	1	1	NUM
ejpam-5203	419	5	)	)	PUNCT
ejpam-5203	419	6	=	=	SYM
ejpam-5203	420	1	x	x	X
ejpam-5203	420	2	!	!	PUNCT
ejpam-5203	420	3	(	(	PUNCT
ejpam-5203	420	4	x−m	x−m	NOUN
ejpam-5203	420	5	)	)	PUNCT
ejpam-5203	420	6	!	!	PUNCT
ejpam-5203	421	1	applying	apply	VERB
ejpam-5203	421	2	it	it	PRON
ejpam-5203	421	3	to	to	ADP
ejpam-5203	421	4	definition	definition	NOUN
ejpam-5203	421	5	19	19	NUM
ejpam-5203	421	6	,	,	PUNCT
ejpam-5203	421	7	we	we	PRON
ejpam-5203	421	8	have	have	VERB
ejpam-5203	421	9	m.	m.	NOUN
ejpam-5203	421	10	laurente	laurente	PROPN
ejpam-5203	421	11	,	,	PUNCT
ejpam-5203	421	12	az	az	PROPN
ejpam-5203	421	13	d.	d.	PROPN
ejpam-5203	421	14	ababa	ababa	PROPN
ejpam-5203	421	15	/	/	SYM
ejpam-5203	421	16	eur	eur	PROPN
ejpam-5203	421	17	.	.	PUNCT
ejpam-5203	422	1	j.	j.	PROPN
ejpam-5203	422	2	pure	pure	PROPN
ejpam-5203	422	3	appl	appl	PROPN
ejpam-5203	422	4	.	.	PROPN
ejpam-5203	422	5	math	math	PROPN
ejpam-5203	422	6	,	,	PUNCT
ejpam-5203	422	7	18	18	NUM
ejpam-5203	422	8	(	(	PUNCT
ejpam-5203	422	9	4	4	NUM
ejpam-5203	422	10	)	)	PUNCT
ejpam-5203	422	11	(	(	PUNCT
ejpam-5203	422	12	2025	2025	NUM
ejpam-5203	422	13	)	)	PUNCT
ejpam-5203	422	14	,	,	PUNCT
ejpam-5203	422	15	5203	5203	NUM
ejpam-5203	422	16	16	16	NUM
ejpam-5203	422	17	of	of	ADP
ejpam-5203	422	18	19	19	NUM
ejpam-5203	422	19	∞∑	∞∑	NUM
ejpam-5203	422	20	n=0	n=0	PUNCT
ejpam-5203	422	21	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	422	22	...	...	PUNCT
ejpam-5203	422	23	,kr	,kr	SYM
ejpam-5203	422	24	)	)	PUNCT
ejpam-5203	423	1	n	n	CCONJ
ejpam-5203	423	2	(	(	PUNCT
ejpam-5203	423	3	x;λ	x;λ	PROPN
ejpam-5203	423	4	,	,	PUNCT
ejpam-5203	423	5	a	a	DET
ejpam-5203	423	6	,	,	PUNCT
ejpam-5203	423	7	b	b	NOUN
ejpam-5203	423	8	,	,	PUNCT
ejpam-5203	423	9	c	c	NOUN
ejpam-5203	423	10	)	)	PUNCT
ejpam-5203	423	11	tn	tn	PROPN
ejpam-5203	423	12	n	n	CCONJ
ejpam-5203	423	13	!	!	PUNCT
ejpam-5203	424	1	=	=	PRON
ejpam-5203	424	2	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	424	3	...	...	PUNCT
ejpam-5203	424	4	,kr	,kr	PUNCT
ejpam-5203	424	5	(	(	PUNCT
ejpam-5203	424	6	1−	1−	NUM
ejpam-5203	424	7	(	(	PUNCT
ejpam-5203	424	8	ab)−2	ab)−2	NOUN
ejpam-5203	424	9	t	t	PROPN
ejpam-5203	424	10	)	)	PUNCT
ejpam-5203	424	11	(	(	PUNCT
ejpam-5203	424	12	a−t	a−t	NOUN
ejpam-5203	424	13	+	+	CCONJ
ejpam-5203	424	14	λbt)r	λbt)r	PROPN
ejpam-5203	424	15	erxt	erxt	VERB
ejpam-5203	424	16	ln	ln	NOUN
ejpam-5203	424	17	c	c	NOUN
ejpam-5203	424	18	=	=	SYM
ejpam-5203	424	19	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	424	20	...	...	PUNCT
ejpam-5203	424	21	,kr	,kr	PUNCT
ejpam-5203	424	22	(	(	PUNCT
ejpam-5203	424	23	1−	1−	NUM
ejpam-5203	424	24	(	(	PUNCT
ejpam-5203	424	25	ab)−2	ab)−2	NOUN
ejpam-5203	424	26	t	t	PROPN
ejpam-5203	424	27	)	)	PUNCT
ejpam-5203	424	28	(	(	PUNCT
ejpam-5203	424	29	a−t	a−t	NOUN
ejpam-5203	424	30	+	+	CCONJ
ejpam-5203	425	1	λbt)r	λbt)r	PROPN
ejpam-5203	425	2	∞∑	∞∑	PROPN
ejpam-5203	425	3	m=0	m=0	PROPN
ejpam-5203	425	4	(	(	PUNCT
ejpam-5203	425	5	x	x	NOUN
ejpam-5203	425	6	m	m	VERB
ejpam-5203	425	7	)	)	PUNCT
ejpam-5203	425	8	(	(	PUNCT
ejpam-5203	425	9	ert	ert	PROPN
ejpam-5203	425	10	ln	ln	PROPN
ejpam-5203	425	11	c	c	PROPN
ejpam-5203	425	12	−	−	PROPN
ejpam-5203	425	13	1)m	1)m	NUM
ejpam-5203	425	14	=	=	SYM
ejpam-5203	425	15	∞∑	∞∑	NUM
ejpam-5203	425	16	m=0	m=0	PROPN
ejpam-5203	425	17	(	(	PUNCT
ejpam-5203	425	18	x)m	x)m	X
ejpam-5203	425	19	(	(	PUNCT
ejpam-5203	425	20	ert	ert	PROPN
ejpam-5203	425	21	ln	ln	PROPN
ejpam-5203	425	22	c	c	PROPN
ejpam-5203	425	23	−	−	PROPN
ejpam-5203	425	24	1)m	1)m	NUM
ejpam-5203	425	25	m	m	NOUN
ejpam-5203	425	26	!	!	PUNCT
ejpam-5203	425	27	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	425	28	...	...	PUNCT
ejpam-5203	425	29	,kr	,kr	PUNCT
ejpam-5203	425	30	(	(	PUNCT
ejpam-5203	425	31	1−	1−	NUM
ejpam-5203	425	32	(	(	PUNCT
ejpam-5203	425	33	ab)−2	ab)−2	NOUN
ejpam-5203	425	34	t	t	PROPN
ejpam-5203	425	35	)	)	PUNCT
ejpam-5203	425	36	(	(	PUNCT
ejpam-5203	425	37	a−t	a−t	NOUN
ejpam-5203	425	38	+	+	NOUN
ejpam-5203	425	39	λbt)r	λbt)r	PROPN
ejpam-5203	425	40	=	=	PUNCT
ejpam-5203	426	1	∞∑	∞∑	NUM
ejpam-5203	426	2	m=0	m=0	PROPN
ejpam-5203	426	3	(	(	PUNCT
ejpam-5203	426	4	x)m	x)m	X
ejpam-5203	426	5	(	(	PUNCT
ejpam-5203	426	6	∞∑	∞∑	NUM
ejpam-5203	426	7	n=0	n=0	PROPN
ejpam-5203	426	8	{	{	PUNCT
ejpam-5203	426	9	n	n	NOUN
ejpam-5203	426	10	m	m	VERB
ejpam-5203	426	11	}	}	PUNCT
ejpam-5203	426	12	(	(	PUNCT
ejpam-5203	426	13	rt	rt	PROPN
ejpam-5203	426	14	ln	ln	PROPN
ejpam-5203	426	15	c)n	c)n	PROPN
ejpam-5203	426	16	n	n	X
ejpam-5203	426	17	!	!	PUNCT
ejpam-5203	426	18	)	)	PUNCT
ejpam-5203	427	1	(	(	PUNCT
ejpam-5203	427	2	∞∑	∞∑	NUM
ejpam-5203	427	3	n=0	n=0	NUM
ejpam-5203	427	4	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	427	5	...	...	PUNCT
ejpam-5203	427	6	,kr	,kr	SYM
ejpam-5203	427	7	)	)	PUNCT
ejpam-5203	427	8	n	n	CCONJ
ejpam-5203	427	9	(	(	PUNCT
ejpam-5203	427	10	0;λ	0;λ	NOUN
ejpam-5203	427	11	,	,	PUNCT
ejpam-5203	427	12	a	a	DET
ejpam-5203	427	13	,	,	PUNCT
ejpam-5203	427	14	b	b	NOUN
ejpam-5203	427	15	)	)	PUNCT
ejpam-5203	427	16	tn	tn	PROPN
ejpam-5203	427	17	n	n	NOUN
ejpam-5203	427	18	!	!	PUNCT
ejpam-5203	427	19	)	)	PUNCT
ejpam-5203	428	1	=	=	PUNCT
ejpam-5203	429	1	∞∑	∞∑	NUM
ejpam-5203	429	2	m=0	m=0	PROPN
ejpam-5203	429	3	(	(	PUNCT
ejpam-5203	429	4	x)m	x)m	X
ejpam-5203	429	5	∞∑	∞∑	NUM
ejpam-5203	429	6	n=0	n=0	NUM
ejpam-5203	429	7	n∑	n∑	X
ejpam-5203	429	8	l=0	l=0	PROPN
ejpam-5203	429	9	{	{	PUNCT
ejpam-5203	429	10	l	l	NOUN
ejpam-5203	429	11	m	m	VERB
ejpam-5203	429	12	}	}	PUNCT
ejpam-5203	429	13	(	(	PUNCT
ejpam-5203	429	14	r	r	NOUN
ejpam-5203	429	15	ln	ln	ADJ
ejpam-5203	429	16	c)l	c)l	NOUN
ejpam-5203	429	17	tl	tl	PROPN
ejpam-5203	429	18	l	l	NOUN
ejpam-5203	429	19	!	!	PUNCT
ejpam-5203	430	1	g(k1,k2,	g(k1,k2,	NOUN
ejpam-5203	430	2	...	...	PUNCT
ejpam-5203	430	3	,kr	,kr	SYM
ejpam-5203	430	4	)	)	PUNCT
ejpam-5203	430	5	n−l	n−l	NOUN
ejpam-5203	430	6	(	(	PUNCT
ejpam-5203	430	7	a	a	PRON
ejpam-5203	430	8	,	,	PUNCT
ejpam-5203	430	9	b	b	NOUN
ejpam-5203	430	10	)	)	PUNCT
ejpam-5203	430	11	tn−l	tn−l	PROPN
ejpam-5203	430	12	(	(	PUNCT
ejpam-5203	430	13	n−	n−	NOUN
ejpam-5203	430	14	l	l	NOUN
ejpam-5203	430	15	)	)	PUNCT
ejpam-5203	430	16	!	!	PUNCT
ejpam-5203	431	1	=	=	PUNCT
ejpam-5203	432	1	∞∑	∞∑	PRON
ejpam-5203	432	2	n=0	n=0	PRON
ejpam-5203	432	3	{	{	PUNCT
ejpam-5203	432	4	∞∑	∞∑	PROPN
ejpam-5203	432	5	m=0	m=0	PROPN
ejpam-5203	432	6	n∑	n∑	PROPN
ejpam-5203	432	7	l	l	PROPN
ejpam-5203	432	8	=	=	NOUN
ejpam-5203	432	9	m	m	NOUN
ejpam-5203	432	10	{	{	PUNCT
ejpam-5203	432	11	l	l	NOUN
ejpam-5203	432	12	m	m	VERB
ejpam-5203	432	13	}	}	PUNCT
ejpam-5203	432	14	(	(	PUNCT
ejpam-5203	432	15	n	n	X
ejpam-5203	432	16	l	l	NOUN
ejpam-5203	432	17	)	)	PUNCT
ejpam-5203	433	1	(	(	PUNCT
ejpam-5203	433	2	r	r	X
ejpam-5203	433	3	ln	ln	ADJ
ejpam-5203	433	4	c)lg(k1,k2,	c)lg(k1,k2,	PROPN
ejpam-5203	433	5	...	...	PUNCT
ejpam-5203	433	6	,kr	,kr	X
ejpam-5203	433	7	)	)	PUNCT
ejpam-5203	433	8	n−l	n−l	PROPN
ejpam-5203	433	9	(	(	PUNCT
ejpam-5203	433	10	a	a	PRON
ejpam-5203	433	11	,	,	PUNCT
ejpam-5203	433	12	b)(x)m	b)(x)m	PUNCT
ejpam-5203	433	13	}	}	PUNCT
ejpam-5203	433	14	tn	tn	PROPN
ejpam-5203	433	15	n	n	X
ejpam-5203	433	16	!	!	PUNCT
ejpam-5203	433	17	.	.	PUNCT
ejpam-5203	434	1	again	again	ADV
ejpam-5203	434	2	,	,	PUNCT
ejpam-5203	434	3	comparing	compare	VERB
ejpam-5203	434	4	the	the	DET
ejpam-5203	434	5	coefficients	coefficient	NOUN
ejpam-5203	434	6	of	of	ADP
ejpam-5203	434	7	tn	tn	NOUN
ejpam-5203	434	8	n	n	ADP
ejpam-5203	434	9	!	!	PROPN
ejpam-5203	434	10	completes	complete	VERB
ejpam-5203	434	11	the	the	DET
ejpam-5203	434	12	proof	proof	NOUN
ejpam-5203	434	13	of	of	ADP
ejpam-5203	434	14	(	(	PUNCT
ejpam-5203	434	15	28	28	NUM
ejpam-5203	434	16	)	)	PUNCT
ejpam-5203	434	17	.	.	PUNCT
ejpam-5203	435	1	for	for	ADP
ejpam-5203	435	2	relation	relation	NOUN
ejpam-5203	435	3	(	(	PUNCT
ejpam-5203	435	4	29	29	NUM
ejpam-5203	435	5	)	)	PUNCT
ejpam-5203	435	6	,	,	PUNCT
ejpam-5203	435	7	from	from	ADP
ejpam-5203	435	8	equation	equation	NOUN
ejpam-5203	435	9	19	19	NUM
ejpam-5203	435	10	of	of	ADP
ejpam-5203	435	11	definition	definition	NOUN
ejpam-5203	435	12	4.1	4.1	NUM
ejpam-5203	435	13	can	can	AUX
ejpam-5203	435	14	be	be	AUX
ejpam-5203	435	15	written	write	VERB
ejpam-5203	435	16	as	as	ADP
ejpam-5203	435	17	∞∑	∞∑	NUM
ejpam-5203	435	18	n=0	n=0	NUM
ejpam-5203	435	19	g(k	g(k	NOUN
ejpam-5203	435	20	)	)	PUNCT
ejpam-5203	435	21	n	n	CCONJ
ejpam-5203	435	22	(	(	PUNCT
ejpam-5203	435	23	x;λ	x;λ	PROPN
ejpam-5203	435	24	,	,	PUNCT
ejpam-5203	435	25	a	a	DET
ejpam-5203	435	26	,	,	PUNCT
ejpam-5203	435	27	b	b	NOUN
ejpam-5203	435	28	,	,	PUNCT
ejpam-5203	435	29	e	e	NOUN
ejpam-5203	435	30	)	)	PUNCT
ejpam-5203	435	31	tn	tn	PROPN
ejpam-5203	435	32	n	n	NOUN
ejpam-5203	435	33	!	!	PUNCT
ejpam-5203	436	1	=	=	PRON
ejpam-5203	436	2	lik(1−	lik(1−	ADJ
ejpam-5203	436	3	(	(	PUNCT
ejpam-5203	436	4	ab)−2	ab)−2	NOUN
ejpam-5203	436	5	t	t	PROPN
ejpam-5203	436	6	)	)	PUNCT
ejpam-5203	436	7	a−t	a−t	PROPN
ejpam-5203	437	1	+	+	CCONJ
ejpam-5203	437	2	bt	bt	X
ejpam-5203	437	3	ext	ext	NOUN
ejpam-5203	437	4	ln	ln	ADJ
ejpam-5203	437	5	c(∗	c(∗	PROPN
ejpam-5203	437	6	)	)	PUNCT
ejpam-5203	437	7	and	and	CCONJ
ejpam-5203	437	8	multiplying	multiply	VERB
ejpam-5203	437	9	the	the	DET
ejpam-5203	437	10	right	right	ADJ
ejpam-5203	437	11	-	-	PUNCT
ejpam-5203	437	12	hand	hand	NOUN
ejpam-5203	437	13	side	side	NOUN
ejpam-5203	437	14	by	by	ADP
ejpam-5203	437	15	(	(	PUNCT
ejpam-5203	437	16	*	*	NOUN
ejpam-5203	437	17	)	)	PUNCT
ejpam-5203	437	18	(	(	PUNCT
ejpam-5203	437	19	et	et	NOUN
ejpam-5203	437	20	−	−	PROPN
ejpam-5203	437	21	1)s	1)s	NUM
ejpam-5203	437	22	(	(	PUNCT
ejpam-5203	437	23	et	et	NOUN
ejpam-5203	437	24	−	−	PROPN
ejpam-5203	437	25	1)s	1)s	NUM
ejpam-5203	437	26	ts	ts	ADP
ejpam-5203	437	27	ts	ts	ADP
ejpam-5203	437	28	s	s	PROPN
ejpam-5203	437	29	!	!	PUNCT
ejpam-5203	438	1	s	s	PART
ejpam-5203	438	2	!	!	NOUN
ejpam-5203	438	3	,	,	PUNCT
ejpam-5203	438	4	we	we	PRON
ejpam-5203	438	5	get	get	VERB
ejpam-5203	438	6	∞∑	∞∑	PRON
ejpam-5203	438	7	n=0	n=0	NUM
ejpam-5203	438	8	g(k	g(k	NOUN
ejpam-5203	438	9	)	)	PUNCT
ejpam-5203	438	10	n	n	CCONJ
ejpam-5203	438	11	(	(	PUNCT
ejpam-5203	438	12	x;λ	x;λ	PROPN
ejpam-5203	438	13	,	,	PUNCT
ejpam-5203	438	14	a	a	DET
ejpam-5203	438	15	,	,	PUNCT
ejpam-5203	438	16	b	b	NOUN
ejpam-5203	438	17	,	,	PUNCT
ejpam-5203	438	18	c	c	NOUN
ejpam-5203	438	19	)	)	PUNCT
ejpam-5203	438	20	tn	tn	PROPN
ejpam-5203	438	21	n	n	CCONJ
ejpam-5203	438	22	!	!	PUNCT
ejpam-5203	439	1	=	=	PUNCT
ejpam-5203	439	2	(	(	PUNCT
ejpam-5203	439	3	(	(	PUNCT
ejpam-5203	439	4	et	et	NOUN
ejpam-5203	439	5	−	−	PROPN
ejpam-5203	439	6	1)s	1)s	NUM
ejpam-5203	439	7	s	s	NOUN
ejpam-5203	439	8	!	!	PUNCT
ejpam-5203	439	9	)	)	PUNCT
ejpam-5203	440	1	(	(	PUNCT
ejpam-5203	440	2	tsext	tsext	NOUN
ejpam-5203	440	3	ln	ln	NOUN
ejpam-5203	440	4	c	c	PROPN
ejpam-5203	440	5	(	(	PUNCT
ejpam-5203	440	6	et	et	PROPN
ejpam-5203	440	7	−	−	PROPN
ejpam-5203	440	8	1)s	1)s	NUM
ejpam-5203	440	9	)	)	PUNCT
ejpam-5203	440	10	(	(	PUNCT
ejpam-5203	440	11	lik1,k2,	lik1,k2,	NOUN
ejpam-5203	440	12	...	...	PUNCT
ejpam-5203	440	13	,kr	,kr	PUNCT
ejpam-5203	440	14	(	(	PUNCT
ejpam-5203	440	15	1−	1−	NUM
ejpam-5203	440	16	(	(	PUNCT
ejpam-5203	440	17	ab)−2	ab)−2	NOUN
ejpam-5203	440	18	t	t	PROPN
ejpam-5203	440	19	)	)	PUNCT
ejpam-5203	440	20	(	(	PUNCT
ejpam-5203	440	21	a−t	a−t	NOUN
ejpam-5203	440	22	+	+	CCONJ
ejpam-5203	440	23	λbt)r	λbt)r	PROPN
ejpam-5203	440	24	)	)	PUNCT
ejpam-5203	440	25	s	s	PROPN
ejpam-5203	440	26	!	!	NOUN
ejpam-5203	440	27	ts	ts	X
ejpam-5203	441	1	=	=	PUNCT
ejpam-5203	442	1	(	(	PUNCT
ejpam-5203	442	2	∞∑	∞∑	PROPN
ejpam-5203	442	3	n=0	n=0	NUM
ejpam-5203	442	4	{	{	PUNCT
ejpam-5203	442	5	n+	n+	ADP
ejpam-5203	442	6	s	s	X
ejpam-5203	442	7	s	s	X
ejpam-5203	442	8	}	}	PUNCT
ejpam-5203	442	9	tn+s	tn+s	PROPN
ejpam-5203	442	10	(	(	PUNCT
ejpam-5203	442	11	n+	n+	X
ejpam-5203	442	12	s	s	X
ejpam-5203	442	13	)	)	PUNCT
ejpam-5203	442	14	!	!	PUNCT
ejpam-5203	442	15	)	)	PUNCT
ejpam-5203	443	1	(	(	PUNCT
ejpam-5203	443	2	∞∑	∞∑	NUM
ejpam-5203	443	3	m=0	m=0	PROPN
ejpam-5203	443	4	b(s	b(s	PROPN
ejpam-5203	443	5	)	)	PUNCT
ejpam-5203	443	6	m	m	VERB
ejpam-5203	443	7	(	(	PUNCT
ejpam-5203	443	8	x	x	PROPN
ejpam-5203	443	9	ln	ln	PROPN
ejpam-5203	443	10	c	c	NOUN
ejpam-5203	443	11	)	)	PUNCT
ejpam-5203	443	12	tm	tm	PROPN
ejpam-5203	443	13	m	m	PROPN
ejpam-5203	443	14	!	!	PUNCT
ejpam-5203	443	15	)	)	PUNCT
ejpam-5203	444	1	(	(	PUNCT
ejpam-5203	444	2	∞∑	∞∑	NUM
ejpam-5203	444	3	n=0	n=0	ADJ
ejpam-5203	444	4	gk1,k2,	gk1,k2,	NOUN
ejpam-5203	444	5	...	...	PUNCT
ejpam-5203	444	6	,kr	,kr	PUNCT
ejpam-5203	444	7	n	n	CCONJ
ejpam-5203	444	8	(	(	PUNCT
ejpam-5203	444	9	λ	λ	PROPN
ejpam-5203	444	10	,	,	PUNCT
ejpam-5203	444	11	a	a	DET
ejpam-5203	444	12	,	,	PUNCT
ejpam-5203	444	13	b	b	NOUN
ejpam-5203	444	14	)	)	PUNCT
ejpam-5203	444	15	tm	tm	PROPN
ejpam-5203	444	16	m	m	PROPN
ejpam-5203	444	17	!	!	PUNCT
ejpam-5203	444	18	)	)	PUNCT
ejpam-5203	445	1	s	s	X
ejpam-5203	445	2	!	!	NOUN
ejpam-5203	445	3	ts	ts	X
ejpam-5203	445	4	=	=	PUNCT
ejpam-5203	446	1	(	(	PUNCT
ejpam-5203	446	2	∞∑	∞∑	PROPN
ejpam-5203	446	3	n=0	n=0	NUM
ejpam-5203	446	4	{	{	PUNCT
ejpam-5203	446	5	n+	n+	ADP
ejpam-5203	446	6	s	s	X
ejpam-5203	446	7	s	s	X
ejpam-5203	446	8	}	}	PUNCT
ejpam-5203	446	9	tn+s	tn+s	PROPN
ejpam-5203	446	10	(	(	PUNCT
ejpam-5203	446	11	n+	n+	X
ejpam-5203	446	12	s	s	X
ejpam-5203	446	13	)	)	PUNCT
ejpam-5203	446	14	!	!	PUNCT
ejpam-5203	446	15	)	)	PUNCT
ejpam-5203	447	1	(	(	PUNCT
ejpam-5203	447	2	∞∑	∞∑	NUM
ejpam-5203	447	3	n=0	n=0	PROPN
ejpam-5203	447	4	n∑	n∑	NOUN
ejpam-5203	447	5	m=0	m=0	PROPN
ejpam-5203	447	6	(	(	PUNCT
ejpam-5203	447	7	n	n	NOUN
ejpam-5203	447	8	m	m	NOUN
ejpam-5203	447	9	)	)	PUNCT
ejpam-5203	447	10	b(s	b(	NOUN
ejpam-5203	447	11	)	)	PUNCT
ejpam-5203	448	1	m	m	VERB
ejpam-5203	448	2	(	(	PUNCT
ejpam-5203	448	3	x	x	X
ejpam-5203	448	4	ln	ln	ADJ
ejpam-5203	448	5	c)gk1,k2,	c)gk1,k2,	NOUN
ejpam-5203	448	6	...	...	PUNCT
ejpam-5203	448	7	,kr	,kr	PUNCT
ejpam-5203	448	8	n−m	n−m	PROPN
ejpam-5203	448	9	(	(	PUNCT
ejpam-5203	448	10	λ	λ	NOUN
ejpam-5203	448	11	,	,	PUNCT
ejpam-5203	448	12	a	a	DET
ejpam-5203	448	13	,	,	PUNCT
ejpam-5203	448	14	b	b	NOUN
ejpam-5203	448	15	)	)	PUNCT
ejpam-5203	448	16	tn	tn	PROPN
ejpam-5203	448	17	n	n	PROPN
ejpam-5203	448	18	!	!	PUNCT
ejpam-5203	448	19	)	)	PUNCT
ejpam-5203	449	1	s	s	X
ejpam-5203	449	2	!	!	NOUN
ejpam-5203	449	3	ts	ts	X
ejpam-5203	449	4	=	=	PUNCT
ejpam-5203	450	1	(	(	PUNCT
ejpam-5203	450	2	∞∑	∞∑	PROPN
ejpam-5203	450	3	n=0	n=0	NUM
ejpam-5203	450	4	n∑	n∑	X
ejpam-5203	450	5	l=0	l=0	PROPN
ejpam-5203	450	6	{	{	PUNCT
ejpam-5203	450	7	l	l	NOUN
ejpam-5203	451	1	+	+	SYM
ejpam-5203	451	2	s	s	X
ejpam-5203	451	3	s	s	X
ejpam-5203	451	4	}	}	PUNCT
ejpam-5203	451	5	tl+s	tl+s	PROPN
ejpam-5203	451	6	(	(	PUNCT
ejpam-5203	451	7	l	l	NOUN
ejpam-5203	451	8	+	+	X
ejpam-5203	451	9	s	s	NOUN
ejpam-5203	451	10	)	)	PUNCT
ejpam-5203	451	11	!	!	PUNCT
ejpam-5203	452	1	n−l∑	n−l∑	INTJ
ejpam-5203	452	2	m=0	m=0	PROPN
ejpam-5203	453	1	(	(	PUNCT
ejpam-5203	453	2	n−	n−	NOUN
ejpam-5203	453	3	l	l	NOUN
ejpam-5203	453	4	m	m	NOUN
ejpam-5203	453	5	)	)	PUNCT
ejpam-5203	453	6	b(s	b(	NOUN
ejpam-5203	453	7	)	)	PUNCT
ejpam-5203	454	1	m	m	VERB
ejpam-5203	454	2	(	(	PUNCT
ejpam-5203	454	3	x	x	X
ejpam-5203	454	4	ln	ln	ADJ
ejpam-5203	454	5	c)g(k1,k2,	c)g(k1,k2,	NOUN
ejpam-5203	454	6	...	...	PUNCT
ejpam-5203	454	7	,kr	,kr	SYM
ejpam-5203	454	8	)	)	PUNCT
ejpam-5203	454	9	n−l−m	n−l−m	NUM
ejpam-5203	454	10	(	(	PUNCT
ejpam-5203	454	11	λ	λ	PROPN
ejpam-5203	454	12	,	,	PUNCT
ejpam-5203	454	13	a	a	DET
ejpam-5203	454	14	,	,	PUNCT
ejpam-5203	454	15	b	b	NOUN
ejpam-5203	454	16	)	)	PUNCT
ejpam-5203	454	17	tn−l	tn−l	PROPN
ejpam-5203	454	18	(	(	PUNCT
ejpam-5203	454	19	n−	n−	NOUN
ejpam-5203	454	20	l	l	NOUN
ejpam-5203	454	21	)	)	PUNCT
ejpam-5203	454	22	!	!	PUNCT
ejpam-5203	454	23	)	)	PUNCT
ejpam-5203	455	1	s	s	X
ejpam-5203	455	2	!	!	NOUN
ejpam-5203	455	3	ts	ts	X
ejpam-5203	455	4	=	=	PUNCT
ejpam-5203	456	1	(	(	PUNCT
ejpam-5203	456	2	∞∑	∞∑	NUM
ejpam-5203	456	3	l=0	l=0	PROPN
ejpam-5203	456	4	∞∑	∞∑	NUM
ejpam-5203	456	5	n	n	CCONJ
ejpam-5203	456	6	=	=	SYM
ejpam-5203	456	7	l	l	NOUN
ejpam-5203	456	8	n−l∑	n−l∑	X
ejpam-5203	456	9	m=0	m=0	PROPN
ejpam-5203	456	10	{	{	PUNCT
ejpam-5203	456	11	l	l	PROPN
ejpam-5203	457	1	+	+	SYM
ejpam-5203	457	2	s	s	X
ejpam-5203	457	3	s	s	X
ejpam-5203	457	4	}	}	PUNCT
ejpam-5203	457	5	l!s	l!s	PROPN
ejpam-5203	457	6	!	!	PUNCT
ejpam-5203	458	1	(	(	PUNCT
ejpam-5203	458	2	l	l	NOUN
ejpam-5203	458	3	+	+	X
ejpam-5203	458	4	s	s	NOUN
ejpam-5203	458	5	)	)	PUNCT
ejpam-5203	458	6	!	!	PUNCT
ejpam-5203	459	1	(	(	PUNCT
ejpam-5203	459	2	n−	n−	NOUN
ejpam-5203	459	3	l	l	NOUN
ejpam-5203	459	4	m	m	NOUN
ejpam-5203	459	5	)	)	PUNCT
ejpam-5203	459	6	b(s	b(	NOUN
ejpam-5203	459	7	)	)	PUNCT
ejpam-5203	460	1	m	m	VERB
ejpam-5203	460	2	(	(	PUNCT
ejpam-5203	460	3	x	x	X
ejpam-5203	460	4	ln	ln	ADJ
ejpam-5203	460	5	c)g(k1,k2,	c)g(k1,k2,	NOUN
ejpam-5203	460	6	...	...	PUNCT
ejpam-5203	460	7	,kr	,kr	SYM
ejpam-5203	460	8	)	)	PUNCT
ejpam-5203	460	9	n−l−m	n−l−m	NUM
ejpam-5203	460	10	(	(	PUNCT
ejpam-5203	460	11	λ	λ	PROPN
ejpam-5203	460	12	,	,	PUNCT
ejpam-5203	460	13	a	a	DET
ejpam-5203	460	14	,	,	PUNCT
ejpam-5203	460	15	b	b	NOUN
ejpam-5203	460	16	)	)	PUNCT
ejpam-5203	460	17	n	n	CCONJ
ejpam-5203	460	18	!	!	PUNCT
ejpam-5203	461	1	(	(	PUNCT
ejpam-5203	461	2	n−	n−	NOUN
ejpam-5203	461	3	l)!l	l)!l	VERB
ejpam-5203	461	4	!	!	PUNCT
ejpam-5203	462	1	tn	tn	PROPN
ejpam-5203	462	2	n	n	PROPN
ejpam-5203	462	3	!	!	PUNCT
ejpam-5203	462	4	)	)	PUNCT
ejpam-5203	463	1	m.	m.	NOUN
ejpam-5203	463	2	laurente	laurente	PROPN
ejpam-5203	463	3	,	,	PUNCT
ejpam-5203	463	4	az	az	PROPN
ejpam-5203	463	5	d.	d.	PROPN
ejpam-5203	463	6	ababa	ababa	PROPN
ejpam-5203	463	7	/	/	SYM
ejpam-5203	463	8	eur	eur	PROPN
ejpam-5203	463	9	.	.	PUNCT
ejpam-5203	464	1	j.	j.	PROPN
ejpam-5203	464	2	pure	pure	PROPN
ejpam-5203	464	3	appl	appl	PROPN
ejpam-5203	464	4	.	.	PROPN
ejpam-5203	464	5	math	math	PROPN
ejpam-5203	464	6	,	,	PUNCT
ejpam-5203	464	7	18	18	NUM
ejpam-5203	464	8	(	(	PUNCT
ejpam-5203	464	9	4	4	NUM
ejpam-5203	464	10	)	)	PUNCT
ejpam-5203	464	11	(	(	PUNCT
ejpam-5203	464	12	2025	2025	NUM
ejpam-5203	464	13	)	)	PUNCT
ejpam-5203	464	14	,	,	PUNCT
ejpam-5203	464	15	5203	5203	NUM
ejpam-5203	464	16	17	17	NUM
ejpam-5203	464	17	of	of	ADP
ejpam-5203	464	18	19	19	NUM
ejpam-5203	464	19	=	=	NOUN
ejpam-5203	464	20	∞∑	∞∑	NUM
ejpam-5203	464	21	n=0	n=0	NUM
ejpam-5203	464	22	(	(	PUNCT
ejpam-5203	464	23	n∑	n∑	PROPN
ejpam-5203	464	24	l=0	l=0	PROPN
ejpam-5203	464	25	n−l∑	n−l∑	X
ejpam-5203	464	26	m=0	m=0	PROPN
ejpam-5203	464	27	(	(	PUNCT
ejpam-5203	464	28	n	n	X
ejpam-5203	464	29	l	l	NOUN
ejpam-5203	464	30	)	)	PUNCT
ejpam-5203	464	31	{	{	PUNCT
ejpam-5203	465	1	l	l	NOUN
ejpam-5203	466	1	+	+	SYM
ejpam-5203	466	2	s	s	X
ejpam-5203	466	3	s	s	X
ejpam-5203	466	4	}	}	PUNCT
ejpam-5203	466	5	(	(	PUNCT
ejpam-5203	466	6	n−l	n−l	NOUN
ejpam-5203	466	7	m	m	VERB
ejpam-5203	466	8	)	)	PUNCT
ejpam-5203	466	9	(	(	PUNCT
ejpam-5203	466	10	l+s	l+s	PROPN
ejpam-5203	466	11	s	s	PART
ejpam-5203	466	12	)	)	PUNCT
ejpam-5203	466	13	b(s	b(	NOUN
ejpam-5203	466	14	)	)	PUNCT
ejpam-5203	466	15	m	m	VERB
ejpam-5203	466	16	(	(	PUNCT
ejpam-5203	466	17	x	x	X
ejpam-5203	466	18	ln	ln	ADJ
ejpam-5203	466	19	c)g(k1,k2,	c)g(k1,k2,	NOUN
ejpam-5203	466	20	...	...	PUNCT
ejpam-5203	466	21	,kr	,kr	SYM
ejpam-5203	466	22	)	)	PUNCT
ejpam-5203	466	23	n−l−m	n−l−m	NUM
ejpam-5203	466	24	(	(	PUNCT
ejpam-5203	466	25	λ	λ	PROPN
ejpam-5203	466	26	,	,	PUNCT
ejpam-5203	466	27	a	a	DET
ejpam-5203	466	28	,	,	PUNCT
ejpam-5203	466	29	b	b	NOUN
ejpam-5203	466	30	)	)	PUNCT
ejpam-5203	466	31	)	)	PUNCT
ejpam-5203	466	32	tn	tn	PROPN
ejpam-5203	467	1	n	n	PROPN
ejpam-5203	467	2	!	!	PUNCT
ejpam-5203	467	3	.	.	PUNCT
ejpam-5203	468	1	again	again	ADV
ejpam-5203	468	2	,	,	PUNCT
ejpam-5203	468	3	comparing	compare	VERB
ejpam-5203	468	4	the	the	DET
ejpam-5203	468	5	coefficients	coefficient	NOUN
ejpam-5203	468	6	of	of	ADP
ejpam-5203	468	7	tn	tn	NOUN
ejpam-5203	468	8	n	n	ADP
ejpam-5203	468	9	!	!	PROPN
ejpam-5203	468	10	completes	complete	VERB
ejpam-5203	468	11	the	the	DET
ejpam-5203	468	12	proof	proof	NOUN
ejpam-5203	468	13	of	of	ADP
ejpam-5203	468	14	equation	equation	NOUN
ejpam-5203	468	15	(	(	PUNCT
ejpam-5203	468	16	29	29	NUM
ejpam-5203	468	17	)	)	PUNCT
ejpam-5203	468	18	.	.	PUNCT
ejpam-5203	469	1	5	5	X
ejpam-5203	469	2	.	.	X
ejpam-5203	469	3	conclusion	conclusion	NOUN
ejpam-5203	469	4	in	in	ADP
ejpam-5203	469	5	this	this	DET
ejpam-5203	469	6	paper	paper	NOUN
ejpam-5203	469	7	,	,	PUNCT
ejpam-5203	469	8	we	we	PRON
ejpam-5203	469	9	define	define	VERB
ejpam-5203	469	10	apostol	apostol	NOUN
ejpam-5203	469	11	-	-	PUNCT
ejpam-5203	469	12	type	type	NOUN
ejpam-5203	469	13	of	of	ADP
ejpam-5203	469	14	multi	multi	ADJ
ejpam-5203	469	15	poly	poly	ADJ
ejpam-5203	469	16	genocchi	genocchi	NOUN
ejpam-5203	469	17	polynomials	polynomial	VERB
ejpam-5203	469	18	with	with	ADP
ejpam-5203	469	19	parameters	parameter	NOUN
ejpam-5203	469	20	a	a	DET
ejpam-5203	469	21	,	,	PUNCT
ejpam-5203	469	22	b	b	PROPN
ejpam-5203	469	23	and	and	CCONJ
ejpam-5203	469	24	c	c	NOUN
ejpam-5203	469	25	through	through	ADP
ejpam-5203	469	26	the	the	DET
ejpam-5203	469	27	concept	concept	NOUN
ejpam-5203	469	28	of	of	ADP
ejpam-5203	469	29	multi	multi	ADJ
ejpam-5203	469	30	-	-	ADJ
ejpam-5203	469	31	poly	poly	ADJ
ejpam-5203	469	32	logarithm	logarithm	NOUN
ejpam-5203	469	33	.	.	PUNCT
ejpam-5203	470	1	we	we	PRON
ejpam-5203	470	2	present	present	VERB
ejpam-5203	470	3	the	the	DET
ejpam-5203	470	4	special	special	ADJ
ejpam-5203	470	5	cases	case	NOUN
ejpam-5203	470	6	when	when	SCONJ
ejpam-5203	470	7	c	c	NOUN
ejpam-5203	470	8	=	=	SYM
ejpam-5203	470	9	e	e	NOUN
ejpam-5203	470	10	that	that	PRON
ejpam-5203	470	11	gives	give	VERB
ejpam-5203	470	12	as	as	ADP
ejpam-5203	470	13	equation	equation	NOUN
ejpam-5203	470	14	(	(	PUNCT
ejpam-5203	470	15	22	22	NUM
ejpam-5203	470	16	)	)	PUNCT
ejpam-5203	470	17	,	,	PUNCT
ejpam-5203	470	18	and	and	CCONJ
ejpam-5203	470	19	when	when	SCONJ
ejpam-5203	470	20	a	a	DET
ejpam-5203	470	21	=	=	SYM
ejpam-5203	470	22	1	1	NUM
ejpam-5203	470	23	,	,	PUNCT
ejpam-5203	470	24	and	and	CCONJ
ejpam-5203	470	25	b	b	X
ejpam-5203	470	26	=	=	SYM
ejpam-5203	470	27	e	e	X
ejpam-5203	470	28	we	we	PRON
ejpam-5203	470	29	obtain	obtain	VERB
ejpam-5203	470	30	as	as	ADP
ejpam-5203	470	31	equation	equation	NOUN
ejpam-5203	470	32	(	(	PUNCT
ejpam-5203	470	33	23	23	NUM
ejpam-5203	470	34	)	)	PUNCT
ejpam-5203	470	35	.	.	PUNCT
ejpam-5203	471	1	furthermore	furthermore	ADV
ejpam-5203	471	2	,	,	PUNCT
ejpam-5203	471	3	we	we	PRON
ejpam-5203	471	4	establish	establish	VERB
ejpam-5203	471	5	the	the	DET
ejpam-5203	471	6	relation	relation	NOUN
ejpam-5203	471	7	in	in	ADP
ejpam-5203	471	8	theorem	theorem	ADJ
ejpam-5203	471	9	4.2	4.2	NUM
ejpam-5203	471	10	and	and	CCONJ
ejpam-5203	471	11	the	the	DET
ejpam-5203	471	12	recurrence	recurrence	NOUN
ejpam-5203	471	13	relations	relation	NOUN
ejpam-5203	471	14	given	give	VERB
ejpam-5203	471	15	in	in	ADP
ejpam-5203	471	16	theorems	theorem	NOUN
ejpam-5203	471	17	4.3	4.3	NUM
ejpam-5203	471	18	and	and	CCONJ
ejpam-5203	471	19	4.4	4.4	NUM
ejpam-5203	471	20	,	,	PUNCT
ejpam-5203	471	21	derived	derive	VERB
ejpam-5203	471	22	from	from	ADP
ejpam-5203	471	23	the	the	DET
ejpam-5203	471	24	concept	concept	NOUN
ejpam-5203	471	25	of	of	ADP
ejpam-5203	471	26	poly	poly	ADJ
ejpam-5203	471	27	-	-	PUNCT
ejpam-5203	471	28	bernoulli	bernoulli	NOUN
ejpam-5203	471	29	polynomials	polynomial	NOUN
ejpam-5203	471	30	.	.	PUNCT
ejpam-5203	472	1	we	we	PRON
ejpam-5203	472	2	also	also	ADV
ejpam-5203	472	3	provide	provide	VERB
ejpam-5203	472	4	theorem	theorem	VERB
ejpam-5203	472	5	4.5	4.5	NUM
ejpam-5203	472	6	together	together	ADV
ejpam-5203	472	7	with	with	ADP
ejpam-5203	472	8	corollaries	corollary	NOUN
ejpam-5203	472	9	that	that	PRON
ejpam-5203	472	10	involve	involve	VERB
ejpam-5203	472	11	a	a	DET
ejpam-5203	472	12	differential	differential	ADJ
ejpam-5203	472	13	equation	equation	NOUN
ejpam-5203	472	14	,	,	PUNCT
ejpam-5203	472	15	which	which	PRON
ejpam-5203	472	16	allows	allow	VERB
ejpam-5203	472	17	us	we	PRON
ejpam-5203	472	18	to	to	PART
ejpam-5203	472	19	classify	classify	VERB
ejpam-5203	472	20	the	the	DET
ejpam-5203	472	21	apostol	apostol	NOUN
ejpam-5203	472	22	-	-	PUNCT
ejpam-5203	472	23	type	type	NOUN
ejpam-5203	472	24	multi	multi	ADJ
ejpam-5203	472	25	poly	poly	ADJ
ejpam-5203	472	26	-	-	PUNCT
ejpam-5203	472	27	genocchi	genocchi	NOUN
ejpam-5203	472	28	polynomials	polynomial	NOUN
ejpam-5203	472	29	as	as	ADP
ejpam-5203	472	30	a	a	DET
ejpam-5203	472	31	family	family	NOUN
ejpam-5203	472	32	of	of	ADP
ejpam-5203	472	33	appell	appell	ADJ
ejpam-5203	472	34	polynomials	polynomial	NOUN
ejpam-5203	472	35	.	.	PUNCT
ejpam-5203	473	1	finally	finally	ADV
ejpam-5203	473	2	,	,	PUNCT
ejpam-5203	473	3	we	we	PRON
ejpam-5203	473	4	derive	derive	VERB
ejpam-5203	473	5	the	the	DET
ejpam-5203	473	6	addition	addition	NOUN
ejpam-5203	473	7	formula	formula	NOUN
ejpam-5203	473	8	in	in	ADP
ejpam-5203	473	9	theorem	theorem	ADJ
ejpam-5203	473	10	4.8	4.8	NUM
ejpam-5203	473	11	and	and	CCONJ
ejpam-5203	473	12	the	the	DET
ejpam-5203	473	13	explicit	explicit	ADJ
ejpam-5203	473	14	formulas	formula	NOUN
ejpam-5203	473	15	in	in	ADP
ejpam-5203	473	16	theorem	theorem	NOUN
ejpam-5203	473	17	4.10	4.10	NUM
ejpam-5203	473	18	.	.	PUNCT
ejpam-5203	474	1	the	the	DET
ejpam-5203	474	2	researcher	researcher	NOUN
ejpam-5203	474	3	recommends	recommend	VERB
ejpam-5203	474	4	the	the	DET
ejpam-5203	474	5	following	following	NOUN
ejpam-5203	474	6	for	for	ADP
ejpam-5203	474	7	possible	possible	ADJ
ejpam-5203	474	8	investigation	investigation	NOUN
ejpam-5203	474	9	,	,	PUNCT
ejpam-5203	474	10	by	by	ADP
ejpam-5203	474	11	letting	let	VERB
ejpam-5203	474	12	indices	index	NOUN
ejpam-5203	474	13	to	to	ADP
ejpam-5203	474	14	non	non	ADJ
ejpam-5203	474	15	-	-	ADJ
ejpam-5203	474	16	positive	positive	ADJ
ejpam-5203	474	17	.	.	PUNCT
ejpam-5203	475	1	the	the	DET
ejpam-5203	475	2	modified	modify	VERB
ejpam-5203	475	3	apostol	apostol	NOUN
ejpam-5203	475	4	-	-	PUNCT
ejpam-5203	475	5	type	type	NOUN
ejpam-5203	475	6	of	of	ADP
ejpam-5203	475	7	multi	multi	ADJ
ejpam-5203	475	8	poly	poly	ADJ
ejpam-5203	475	9	-	-	PUNCT
ejpam-5203	475	10	genocchi	genocchi	NOUN
ejpam-5203	475	11	polynomials	polynomial	NOUN
ejpam-5203	475	12	with	with	ADP
ejpam-5203	475	13	parameters	parameter	NOUN
ejpam-5203	475	14	a	a	DET
ejpam-5203	475	15	,	,	PUNCT
ejpam-5203	475	16	b	b	NOUN
ejpam-5203	475	17	,	,	PUNCT
ejpam-5203	475	18	and	and	CCONJ
ejpam-5203	475	19	c.	c.	NOUN
ejpam-5203	475	20	acknowledgements	acknowledgement	VERB
ejpam-5203	475	21	the	the	DET
ejpam-5203	475	22	authors	author	NOUN
ejpam-5203	475	23	sincerely	sincerely	ADV
ejpam-5203	475	24	extend	extend	VERB
ejpam-5203	475	25	their	their	PRON
ejpam-5203	475	26	gratitude	gratitude	NOUN
ejpam-5203	475	27	to	to	ADP
ejpam-5203	475	28	davao	davao	PROPN
ejpam-5203	475	29	de	de	PROPN
ejpam-5203	475	30	oro	oro	PROPN
ejpam-5203	475	31	state	state	PROPN
ejpam-5203	475	32	college	college	NOUN
ejpam-5203	475	33	–	–	PUNCT
ejpam-5203	475	34	main	main	ADJ
ejpam-5203	475	35	campus	campus	NOUN
ejpam-5203	475	36	(	(	PUNCT
ejpam-5203	475	37	compostela	compostela	PROPN
ejpam-5203	475	38	)	)	PUNCT
ejpam-5203	475	39	and	and	CCONJ
ejpam-5203	475	40	davao	davao	PROPN
ejpam-5203	475	41	del	del	PROPN
ejpam-5203	475	42	sur	sur	PROPN
ejpam-5203	475	43	state	state	PROPN
ejpam-5203	475	44	college	college	PROPN
ejpam-5203	475	45	for	for	ADP
ejpam-5203	475	46	their	their	PRON
ejpam-5203	475	47	unwavering	unwavering	ADJ
ejpam-5203	475	48	support	support	NOUN
ejpam-5203	475	49	,	,	PUNCT
ejpam-5203	475	50	encouragement	encouragement	NOUN
ejpam-5203	475	51	,	,	PUNCT
ejpam-5203	475	52	and	and	CCONJ
ejpam-5203	475	53	valuable	valuable	ADJ
ejpam-5203	475	54	contributions	contribution	NOUN
ejpam-5203	475	55	,	,	PUNCT
ejpam-5203	475	56	which	which	PRON
ejpam-5203	475	57	greatly	greatly	ADV
ejpam-5203	475	58	facilitated	facilitate	VERB
ejpam-5203	475	59	the	the	DET
ejpam-5203	475	60	successful	successful	ADJ
ejpam-5203	475	61	completion	completion	NOUN
ejpam-5203	475	62	of	of	ADP
ejpam-5203	475	63	this	this	DET
ejpam-5203	475	64	study	study	NOUN
ejpam-5203	475	65	.	.	PUNCT
ejpam-5203	476	1	references	reference	NOUN
ejpam-5203	476	2	[	[	X
ejpam-5203	476	3	1	1	NUM
ejpam-5203	476	4	]	]	X
ejpam-5203	476	5	j.m	j.m	PROPN
ejpam-5203	476	6	.	.	PROPN
ejpam-5203	476	7	gandhi	gandhi	PROPN
ejpam-5203	476	8	.	.	PUNCT
ejpam-5203	477	1	a	a	DET
ejpam-5203	477	2	conjectured	conjecture	VERB
ejpam-5203	477	3	representation	representation	NOUN
ejpam-5203	477	4	of	of	ADP
ejpam-5203	477	5	genocchi	genocchi	PROPN
ejpam-5203	477	6	numbers	number	NOUN
ejpam-5203	477	7	.	.	PUNCT
ejpam-5203	478	1	the	the	DET
ejpam-5203	478	2	american	american	PROPN
ejpam-5203	478	3	mathematical	mathematical	PROPN
ejpam-5203	478	4	monthly	monthly	ADV
ejpam-5203	478	5	,	,	PUNCT
ejpam-5203	478	6	77:505–506	77:505–506	NUM
ejpam-5203	478	7	,	,	PUNCT
ejpam-5203	478	8	1970	1970	NUM
ejpam-5203	478	9	.	.	PUNCT
ejpam-5203	479	1	[	[	X
ejpam-5203	479	2	2	2	X
ejpam-5203	479	3	]	]	PUNCT
ejpam-5203	479	4	j.	j.	PROPN
ejpam-5203	479	5	riordan	riordan	PROPN
ejpam-5203	479	6	and	and	CCONJ
ejpam-5203	479	7	p.	p.	PROPN
ejpam-5203	479	8	stien	stien	PROPN
ejpam-5203	479	9	.	.	PUNCT
ejpam-5203	480	1	proof	proof	NOUN
ejpam-5203	480	2	of	of	ADP
ejpam-5203	480	3	a	a	DET
ejpam-5203	480	4	conjecture	conjecture	NOUN
ejpam-5203	480	5	on	on	ADP
ejpam-5203	480	6	genocchi	genocchi	PROPN
ejpam-5203	480	7	numbers	number	NOUN
ejpam-5203	480	8	.	.	PUNCT
ejpam-5203	481	1	discrete	discrete	ADJ
ejpam-5203	481	2	mathematics	mathematic	NOUN
ejpam-5203	481	3	,	,	PUNCT
ejpam-5203	481	4	5:381–388	5:381–388	NUM
ejpam-5203	481	5	,	,	PUNCT
ejpam-5203	481	6	1973	1973	NUM
ejpam-5203	481	7	.	.	PUNCT
ejpam-5203	482	1	[	[	X
ejpam-5203	482	2	3	3	X
ejpam-5203	482	3	]	]	X
ejpam-5203	482	4	y.	y.	NOUN
ejpam-5203	482	5	he	he	PRON
ejpam-5203	482	6	.	.	PUNCT
ejpam-5203	483	1	some	some	DET
ejpam-5203	483	2	new	new	ADJ
ejpam-5203	483	3	results	result	NOUN
ejpam-5203	483	4	on	on	ADP
ejpam-5203	483	5	products	product	NOUN
ejpam-5203	483	6	of	of	ADP
ejpam-5203	483	7	the	the	DET
ejpam-5203	483	8	apostol	apostol	NOUN
ejpam-5203	483	9	-	-	PUNCT
ejpam-5203	483	10	genocchi	genocchi	PROPN
ejpam-5203	483	11	polynomials	polynomial	NOUN
ejpam-5203	483	12	.	.	PUNCT
ejpam-5203	484	1	journal	journal	PROPN
ejpam-5203	484	2	of	of	ADP
ejpam-5203	484	3	computational	computational	ADJ
ejpam-5203	484	4	analysis	analysis	NOUN
ejpam-5203	484	5	and	and	CCONJ
ejpam-5203	484	6	applications	application	NOUN
ejpam-5203	484	7	,	,	PUNCT
ejpam-5203	484	8	22(4):591–600	22(4):591–600	NUM
ejpam-5203	484	9	,	,	PUNCT
ejpam-5203	484	10	2017	2017	NUM
ejpam-5203	484	11	.	.	PUNCT
ejpam-5203	485	1	[	[	X
ejpam-5203	485	2	4	4	X
ejpam-5203	485	3	]	]	PUNCT
ejpam-5203	485	4	t.	t.	NOUN
ejpam-5203	485	5	agoh	agoh	PROPN
ejpam-5203	485	6	.	.	PUNCT
ejpam-5203	486	1	convolution	convolution	NOUN
ejpam-5203	486	2	identities	identity	NOUN
ejpam-5203	486	3	for	for	ADP
ejpam-5203	486	4	bernoulli	bernoulli	PROPN
ejpam-5203	486	5	and	and	CCONJ
ejpam-5203	486	6	genocchi	genocchi	PROPN
ejpam-5203	486	7	polynomials	polynomial	NOUN
ejpam-5203	486	8	.	.	PUNCT
ejpam-5203	487	1	electronic	electronic	ADJ
ejpam-5203	487	2	journal	journal	NOUN
ejpam-5203	487	3	of	of	ADP
ejpam-5203	487	4	combinatorics	combinatorics	PROPN
ejpam-5203	487	5	,	,	PUNCT
ejpam-5203	487	6	21(1):article	21(1):article	PROPN
ejpam-5203	487	7	i	i	PROPN
ejpam-5203	487	8	d	d	PROPN
ejpam-5203	487	9	p1.65	p1.65	PROPN
ejpam-5203	487	10	,	,	PUNCT
ejpam-5203	487	11	2014	2014	NUM
ejpam-5203	487	12	.	.	PUNCT
ejpam-5203	488	1	[	[	X
ejpam-5203	488	2	5	5	X
ejpam-5203	488	3	]	]	PUNCT
ejpam-5203	488	4	s.	s.	PROPN
ejpam-5203	488	5	araci	araci	PROPN
ejpam-5203	488	6	,	,	PUNCT
ejpam-5203	488	7	m.	m.	NOUN
ejpam-5203	488	8	acikgoz	acikgoz	PROPN
ejpam-5203	488	9	,	,	PUNCT
ejpam-5203	488	10	h.	h.	PROPN
ejpam-5203	488	11	jolany	jolany	PROPN
ejpam-5203	488	12	,	,	PUNCT
ejpam-5203	488	13	and	and	CCONJ
ejpam-5203	488	14	j.j	j.j	PROPN
ejpam-5203	488	15	.	.	PROPN
ejpam-5203	488	16	seo	seo	PROPN
ejpam-5203	488	17	.	.	PUNCT
ejpam-5203	489	1	a	a	DET
ejpam-5203	489	2	unified	unify	VERB
ejpam-5203	489	3	generating	generating	NOUN
ejpam-5203	489	4	function	function	NOUN
ejpam-5203	489	5	of	of	ADP
ejpam-5203	489	6	the	the	DET
ejpam-5203	489	7	qgenocchi	qgenocchi	ADJ
ejpam-5203	489	8	polynomials	polynomial	NOUN
ejpam-5203	489	9	with	with	ADP
ejpam-5203	489	10	their	their	PRON
ejpam-5203	489	11	interpolation	interpolation	NOUN
ejpam-5203	489	12	functions	function	NOUN
ejpam-5203	489	13	.	.	PUNCT
ejpam-5203	490	1	proceedings	proceeding	NOUN
ejpam-5203	490	2	of	of	ADP
ejpam-5203	490	3	the	the	DET
ejpam-5203	490	4	jangjeon	jangjeon	PROPN
ejpam-5203	490	5	mathematical	mathematical	PROPN
ejpam-5203	490	6	society	society	NOUN
ejpam-5203	490	7	,	,	PUNCT
ejpam-5203	490	8	15(20):227–233	15(20):227–233	NUM
ejpam-5203	490	9	,	,	PUNCT
ejpam-5203	490	10	2012	2012	NUM
ejpam-5203	490	11	.	.	PUNCT
ejpam-5203	491	1	[	[	X
ejpam-5203	491	2	6	6	NUM
ejpam-5203	491	3	]	]	PUNCT
ejpam-5203	491	4	s.	s.	PROPN
ejpam-5203	491	5	araci	araci	PROPN
ejpam-5203	491	6	.	.	PUNCT
ejpam-5203	492	1	novel	novel	ADJ
ejpam-5203	492	2	identities	identity	NOUN
ejpam-5203	492	3	for	for	ADP
ejpam-5203	492	4	q	q	ADJ
ejpam-5203	492	5	-	-	ADJ
ejpam-5203	492	6	genocchi	genocchi	ADJ
ejpam-5203	492	7	numbers	number	NOUN
ejpam-5203	492	8	and	and	CCONJ
ejpam-5203	492	9	polynomials	polynomial	NOUN
ejpam-5203	492	10	.	.	PUNCT
ejpam-5203	493	1	journal	journal	NOUN
ejpam-5203	493	2	of	of	ADP
ejpam-5203	493	3	function	function	NOUN
ejpam-5203	493	4	spaces	space	NOUN
ejpam-5203	493	5	and	and	CCONJ
ejpam-5203	493	6	applications	application	NOUN
ejpam-5203	493	7	,	,	PUNCT
ejpam-5203	493	8	2012	2012	NUM
ejpam-5203	493	9	:	:	PUNCT
ejpam-5203	493	10	article	article	NOUN
ejpam-5203	493	11	i	i	PROPN
ejpam-5203	493	12	d	d	PROPN
ejpam-5203	493	13	214961	214961	NUM
ejpam-5203	493	14	,	,	PUNCT
ejpam-5203	493	15	2012	2012	NUM
ejpam-5203	493	16	.	.	PUNCT
ejpam-5203	494	1	m.	m.	NOUN
ejpam-5203	494	2	laurente	laurente	PROPN
ejpam-5203	494	3	,	,	PUNCT
ejpam-5203	494	4	az	az	PROPN
ejpam-5203	494	5	d.	d.	PROPN
ejpam-5203	494	6	ababa	ababa	PROPN
ejpam-5203	494	7	/	/	SYM
ejpam-5203	494	8	eur	eur	PROPN
ejpam-5203	494	9	.	.	PUNCT
ejpam-5203	495	1	j.	j.	PROPN
ejpam-5203	495	2	pure	pure	PROPN
ejpam-5203	495	3	appl	appl	PROPN
ejpam-5203	495	4	.	.	PROPN
ejpam-5203	495	5	math	math	PROPN
ejpam-5203	495	6	,	,	PUNCT
ejpam-5203	495	7	18	18	NUM
ejpam-5203	495	8	(	(	PUNCT
ejpam-5203	495	9	4	4	NUM
ejpam-5203	495	10	)	)	PUNCT
ejpam-5203	495	11	(	(	PUNCT
ejpam-5203	495	12	2025	2025	NUM
ejpam-5203	495	13	)	)	PUNCT
ejpam-5203	495	14	,	,	PUNCT
ejpam-5203	495	15	5203	5203	NUM
ejpam-5203	495	16	18	18	NUM
ejpam-5203	495	17	of	of	ADP
ejpam-5203	495	18	19	19	NUM
ejpam-5203	495	19	[	[	SYM
ejpam-5203	495	20	7	7	NUM
ejpam-5203	495	21	]	]	PUNCT
ejpam-5203	495	22	s.	s.	PROPN
ejpam-5203	495	23	araci	araci	PROPN
ejpam-5203	495	24	,	,	PUNCT
ejpam-5203	495	25	m.	m.	NOUN
ejpam-5203	495	26	acikgoz	acikgoz	ADJ
ejpam-5203	495	27	,	,	PUNCT
ejpam-5203	495	28	and	and	CCONJ
ejpam-5203	495	29	e.	e.	PROPN
ejpam-5203	495	30	sen	sen	PROPN
ejpam-5203	495	31	.	.	PROPN
ejpam-5203	496	1	some	some	DET
ejpam-5203	496	2	new	new	ADJ
ejpam-5203	496	3	formulae	formulae	NOUN
ejpam-5203	496	4	for	for	ADP
ejpam-5203	496	5	genocchi	genocchi	PROPN
ejpam-5203	496	6	numbers	number	NOUN
ejpam-5203	496	7	and	and	CCONJ
ejpam-5203	496	8	polynomials	polynomial	NOUN
ejpam-5203	496	9	involving	involve	VERB
ejpam-5203	496	10	bernoulli	bernoulli	NOUN
ejpam-5203	496	11	and	and	CCONJ
ejpam-5203	496	12	euler	euler	NOUN
ejpam-5203	496	13	polynomials	polynomial	NOUN
ejpam-5203	496	14	.	.	PUNCT
ejpam-5203	497	1	international	international	ADJ
ejpam-5203	497	2	journal	journal	PROPN
ejpam-5203	497	3	of	of	ADP
ejpam-5203	497	4	mathematics	mathematics	PROPN
ejpam-5203	497	5	and	and	CCONJ
ejpam-5203	497	6	mathematical	mathematical	ADJ
ejpam-5203	497	7	sciences	science	NOUN
ejpam-5203	497	8	,	,	PUNCT
ejpam-5203	497	9	page	page	NOUN
ejpam-5203	497	10	article	article	NOUN
ejpam-5203	497	11	i	i	PROPN
ejpam-5203	497	12	d	d	PROPN
ejpam-5203	497	13	760613	760613	NUM
ejpam-5203	497	14	,	,	PUNCT
ejpam-5203	497	15	2014	2014	NUM
ejpam-5203	497	16	.	.	PUNCT
ejpam-5203	498	1	[	[	X
ejpam-5203	498	2	8	8	X
ejpam-5203	498	3	]	]	X
ejpam-5203	498	4	s.	s.	PROPN
ejpam-5203	498	5	araci	araci	PROPN
ejpam-5203	498	6	,	,	PUNCT
ejpam-5203	498	7	w.a	w.a	PROPN
ejpam-5203	498	8	.	.	PROPN
ejpam-5203	498	9	khan	khan	PROPN
ejpam-5203	498	10	,	,	PUNCT
ejpam-5203	498	11	m.	m.	NOUN
ejpam-5203	498	12	acikgoz	acikgoz	PROPN
ejpam-5203	498	13	,	,	PUNCT
ejpam-5203	498	14	c.	c.	PROPN
ejpam-5203	498	15	ozel	ozel	PROPN
ejpam-5203	498	16	,	,	PUNCT
ejpam-5203	498	17	and	and	CCONJ
ejpam-5203	498	18	p.	p.	PROPN
ejpam-5203	498	19	kumam	kumam	PROPN
ejpam-5203	498	20	.	.	PUNCT
ejpam-5203	499	1	a	a	DET
ejpam-5203	499	2	new	new	ADJ
ejpam-5203	499	3	generalization	generalization	NOUN
ejpam-5203	499	4	of	of	ADP
ejpam-5203	499	5	apostol	apostol	PROPN
ejpam-5203	499	6	type	type	NOUN
ejpam-5203	499	7	hermite	hermite	PROPN
ejpam-5203	499	8	-	-	PUNCT
ejpam-5203	499	9	genocchi	genocchi	PROPN
ejpam-5203	499	10	polynomials	polynomial	NOUN
ejpam-5203	499	11	and	and	CCONJ
ejpam-5203	499	12	its	its	PRON
ejpam-5203	499	13	applications	application	NOUN
ejpam-5203	499	14	.	.	PUNCT
ejpam-5203	500	1	springerplus	springerplus	PROPN
ejpam-5203	500	2	,	,	PUNCT
ejpam-5203	500	3	5	5	NUM
ejpam-5203	500	4	:	:	PUNCT
ejpam-5203	500	5	article	article	NOUN
ejpam-5203	500	6	i	i	PROPN
ejpam-5203	500	7	d	d	PROPN
ejpam-5203	500	8	860	860	PROPN
ejpam-5203	500	9	,	,	PUNCT
ejpam-5203	500	10	2016	2016	NUM
ejpam-5203	500	11	.	.	PUNCT
ejpam-5203	501	1	[	[	X
ejpam-5203	501	2	9	9	NUM
ejpam-5203	501	3	]	]	X
ejpam-5203	501	4	h.	h.	NOUN
ejpam-5203	501	5	jolany	jolany	PROPN
ejpam-5203	501	6	,	,	PUNCT
ejpam-5203	501	7	h.	h.	PROPN
ejpam-5203	501	8	sharifi	sharifi	PROPN
ejpam-5203	501	9	,	,	PUNCT
ejpam-5203	501	10	and	and	CCONJ
ejpam-5203	501	11	r.e	r.e	PROPN
ejpam-5203	501	12	.	.	PROPN
ejpam-5203	501	13	alikelaye	alikelaye	PROPN
ejpam-5203	501	14	.	.	PUNCT
ejpam-5203	502	1	some	some	DET
ejpam-5203	502	2	results	result	NOUN
ejpam-5203	502	3	for	for	ADP
ejpam-5203	502	4	the	the	DET
ejpam-5203	502	5	apostol	apostol	NOUN
ejpam-5203	502	6	-	-	PUNCT
ejpam-5203	502	7	genocchi	genocchi	PROPN
ejpam-5203	502	8	polynomials	polynomial	NOUN
ejpam-5203	502	9	of	of	ADP
ejpam-5203	502	10	higher	high	ADJ
ejpam-5203	502	11	order	order	NOUN
ejpam-5203	502	12	.	.	PUNCT
ejpam-5203	503	1	bulletin	bulletin	NOUN
ejpam-5203	503	2	of	of	ADP
ejpam-5203	503	3	the	the	DET
ejpam-5203	503	4	malaysian	malaysian	PROPN
ejpam-5203	503	5	mathematical	mathematical	PROPN
ejpam-5203	503	6	sciences	sciences	PROPN
ejpam-5203	503	7	society	society	NOUN
ejpam-5203	503	8	,	,	PUNCT
ejpam-5203	503	9	36(2):465–479	36(2):465–479	PROPN
ejpam-5203	503	10	,	,	PUNCT
ejpam-5203	503	11	2010	2010	NUM
ejpam-5203	503	12	.	.	PUNCT
ejpam-5203	504	1	[	[	X
ejpam-5203	504	2	10	10	NUM
ejpam-5203	504	3	]	]	PUNCT
ejpam-5203	504	4	m.	m.	NOUN
ejpam-5203	504	5	zabrocky	zabrocky	PROPN
ejpam-5203	504	6	.	.	PUNCT
ejpam-5203	505	1	an	an	DET
ejpam-5203	505	2	introduction	introduction	NOUN
ejpam-5203	505	3	to	to	ADP
ejpam-5203	505	4	ordinary	ordinary	ADJ
ejpam-5203	505	5	generating	generating	NOUN
ejpam-5203	505	6	functions	function	NOUN
ejpam-5203	505	7	.	.	PUNCT
ejpam-5203	506	1	2015	2015	NUM
ejpam-5203	506	2	.	.	PUNCT
ejpam-5203	507	1	[	[	X
ejpam-5203	507	2	11	11	NUM
ejpam-5203	507	3	]	]	X
ejpam-5203	507	4	h.	h.	PROPN
ejpam-5203	507	5	jolany	jolany	PROPN
ejpam-5203	507	6	and	and	CCONJ
ejpam-5203	507	7	r.	r.	PROPN
ejpam-5203	507	8	corcino	corcino	PROPN
ejpam-5203	507	9	.	.	PUNCT
ejpam-5203	508	1	explicit	explicit	ADJ
ejpam-5203	508	2	formula	formula	NOUN
ejpam-5203	508	3	for	for	ADP
ejpam-5203	508	4	generalization	generalization	NOUN
ejpam-5203	508	5	of	of	ADP
ejpam-5203	508	6	poly	poly	ADJ
ejpam-5203	508	7	-	-	PUNCT
ejpam-5203	508	8	bernoulli	bernoulli	NOUN
ejpam-5203	508	9	numbers	number	NOUN
ejpam-5203	508	10	and	and	CCONJ
ejpam-5203	508	11	polynomials	polynomial	NOUN
ejpam-5203	508	12	with	with	ADP
ejpam-5203	508	13	a	a	DET
ejpam-5203	508	14	,	,	PUNCT
ejpam-5203	508	15	b	b	NOUN
ejpam-5203	508	16	,	,	PUNCT
ejpam-5203	508	17	c	c	PROPN
ejpam-5203	508	18	parameters	parameter	NOUN
ejpam-5203	508	19	.	.	PUNCT
ejpam-5203	509	1	journal	journal	PROPN
ejpam-5203	509	2	of	of	ADP
ejpam-5203	509	3	classical	classical	ADJ
ejpam-5203	509	4	analysis	analysis	NOUN
ejpam-5203	509	5	,	,	PUNCT
ejpam-5203	509	6	6:119–135	6:119–135	NOUN
ejpam-5203	509	7	,	,	PUNCT
ejpam-5203	509	8	2015	2015	NUM
ejpam-5203	509	9	.	.	PUNCT
ejpam-5203	510	1	[	[	X
ejpam-5203	510	2	12	12	NUM
ejpam-5203	510	3	]	]	X
ejpam-5203	510	4	m.p	m.p	PROPN
ejpam-5203	510	5	.	.	PROPN
ejpam-5203	510	6	laurente	laurente	PROPN
ejpam-5203	510	7	,	,	PUNCT
ejpam-5203	510	8	r.b	r.b	PROPN
ejpam-5203	510	9	.	.	PROPN
ejpam-5203	510	10	corcino	corcino	PROPN
ejpam-5203	510	11	,	,	PUNCT
ejpam-5203	510	12	and	and	CCONJ
ejpam-5203	510	13	m.p	m.p	PROPN
ejpam-5203	510	14	.	.	PROPN
ejpam-5203	510	15	vega	vega	PROPN
ejpam-5203	510	16	.	.	PUNCT
ejpam-5203	511	1	on	on	ADP
ejpam-5203	511	2	multi	multi	ADJ
ejpam-5203	511	3	poly	poly	ADJ
ejpam-5203	511	4	-	-	PUNCT
ejpam-5203	511	5	genocchi	genocchi	NOUN
ejpam-5203	511	6	polynomials	polynomial	NOUN
ejpam-5203	511	7	with	with	ADP
ejpam-5203	511	8	parameters	parameter	NOUN
ejpam-5203	511	9	a	a	PRON
ejpam-5203	511	10	,	,	PUNCT
ejpam-5203	511	11	b	b	NOUN
ejpam-5203	511	12	,	,	PUNCT
ejpam-5203	511	13	and	and	CCONJ
ejpam-5203	511	14	c.	c.	PROPN
ejpam-5203	511	15	european	european	PROPN
ejpam-5203	511	16	journal	journal	PROPN
ejpam-5203	511	17	of	of	ADP
ejpam-5203	511	18	pure	pure	ADJ
ejpam-5203	511	19	and	and	CCONJ
ejpam-5203	511	20	applied	applied	ADJ
ejpam-5203	511	21	mathematics	mathematic	NOUN
ejpam-5203	511	22	,	,	PUNCT
ejpam-5203	511	23	13:444–458	13:444–458	PROPN
ejpam-5203	511	24	,	,	PUNCT
ejpam-5203	511	25	2020	2020	NUM
ejpam-5203	511	26	.	.	PUNCT
ejpam-5203	512	1	[	[	X
ejpam-5203	512	2	13	13	NUM
ejpam-5203	512	3	]	]	PUNCT
ejpam-5203	512	4	t.	t.	PROPN
ejpam-5203	512	5	kim	kim	PROPN
ejpam-5203	512	6	,	,	PUNCT
ejpam-5203	512	7	d.s	d.s	PROPN
ejpam-5203	512	8	.	.	PROPN
ejpam-5203	512	9	kim	kim	PROPN
ejpam-5203	512	10	,	,	PUNCT
ejpam-5203	512	11	d.v	d.v	PROPN
ejpam-5203	512	12	.	.	PROPN
ejpam-5203	512	13	dolgy	dolgy	PROPN
ejpam-5203	512	14	,	,	PUNCT
ejpam-5203	512	15	and	and	CCONJ
ejpam-5203	512	16	s.h	s.h	PROPN
ejpam-5203	512	17	.	.	PROPN
ejpam-5203	512	18	rim	rim	PROPN
ejpam-5203	512	19	.	.	PUNCT
ejpam-5203	513	1	some	some	DET
ejpam-5203	513	2	formula	formula	NOUN
ejpam-5203	513	3	for	for	ADP
ejpam-5203	513	4	the	the	DET
ejpam-5203	513	5	product	product	NOUN
ejpam-5203	513	6	of	of	ADP
ejpam-5203	513	7	two	two	NUM
ejpam-5203	513	8	bernoulli	bernoulli	NOUN
ejpam-5203	513	9	and	and	CCONJ
ejpam-5203	513	10	euler	euler	NOUN
ejpam-5203	513	11	polynomials	polynomial	NOUN
ejpam-5203	513	12	.	.	PUNCT
ejpam-5203	514	1	abstract	abstract	ADJ
ejpam-5203	514	2	and	and	CCONJ
ejpam-5203	514	3	applied	apply	VERB
ejpam-5203	514	4	analysis	analysis	NOUN
ejpam-5203	514	5	,	,	PUNCT
ejpam-5203	514	6	2012	2012	NUM
ejpam-5203	514	7	:	:	PUNCT
ejpam-5203	514	8	article	article	NOUN
ejpam-5203	514	9	i	i	PROPN
ejpam-5203	514	10	d	d	PROPN
ejpam-5203	514	11	784307	784307	NUM
ejpam-5203	514	12	,	,	PUNCT
ejpam-5203	514	13	15	15	NUM
ejpam-5203	514	14	pages	page	NOUN
ejpam-5203	514	15	.	.	PUNCT
ejpam-5203	515	1	[	[	X
ejpam-5203	515	2	14	14	NUM
ejpam-5203	515	3	]	]	PUNCT
ejpam-5203	515	4	t.	t.	PROPN
ejpam-5203	515	5	kim	kim	PROPN
ejpam-5203	515	6	,	,	PUNCT
ejpam-5203	515	7	s.h	s.h	PROPN
ejpam-5203	515	8	.	.	PROPN
ejpam-5203	515	9	rim	rim	PROPN
ejpam-5203	515	10	,	,	PUNCT
ejpam-5203	515	11	d.v	d.v	PROPN
ejpam-5203	515	12	.	.	PROPN
ejpam-5203	515	13	dolgy	dolgy	PROPN
ejpam-5203	515	14	,	,	PUNCT
ejpam-5203	515	15	and	and	CCONJ
ejpam-5203	515	16	s.h	s.h	PROPN
ejpam-5203	515	17	.	.	PROPN
ejpam-5203	515	18	lee	lee	PROPN
ejpam-5203	515	19	.	.	PUNCT
ejpam-5203	516	1	some	some	DET
ejpam-5203	516	2	identities	identity	NOUN
ejpam-5203	516	3	of	of	ADP
ejpam-5203	516	4	genocchi	genocchi	PROPN
ejpam-5203	516	5	polynomials	polynomial	NOUN
ejpam-5203	516	6	arising	arise	VERB
ejpam-5203	516	7	from	from	ADP
ejpam-5203	516	8	genocchi	genocchi	PROPN
ejpam-5203	516	9	basis	basis	NOUN
ejpam-5203	516	10	.	.	PUNCT
ejpam-5203	517	1	journal	journal	PROPN
ejpam-5203	517	2	of	of	ADP
ejpam-5203	517	3	inequalities	inequality	NOUN
ejpam-5203	517	4	and	and	CCONJ
ejpam-5203	517	5	applications	application	NOUN
ejpam-5203	517	6	,	,	PUNCT
ejpam-5203	517	7	pages	page	NOUN
ejpam-5203	517	8	article	article	NOUN
ejpam-5203	517	9	i	i	PROPN
ejpam-5203	517	10	d	d	PROPN
ejpam-5203	517	11	43	43	NUM
ejpam-5203	517	12	,	,	PUNCT
ejpam-5203	517	13	6	6	NUM
ejpam-5203	517	14	pages	page	NOUN
ejpam-5203	517	15	,	,	PUNCT
ejpam-5203	517	16	2013	2013	NUM
ejpam-5203	517	17	.	.	PUNCT
ejpam-5203	518	1	[	[	X
ejpam-5203	518	2	15	15	NUM
ejpam-5203	518	3	]	]	X
ejpam-5203	518	4	s.	s.	PROPN
ejpam-5203	518	5	araci	araci	PROPN
ejpam-5203	518	6	,	,	PUNCT
ejpam-5203	518	7	e.	e.	PROPN
ejpam-5203	518	8	sen	sen	PROPN
ejpam-5203	518	9	,	,	PUNCT
ejpam-5203	518	10	and	and	CCONJ
ejpam-5203	518	11	m.	m.	NOUN
ejpam-5203	518	12	acikgoz	acikgoz	VERB
ejpam-5203	518	13	.	.	PUNCT
ejpam-5203	519	1	theorems	theorem	NOUN
ejpam-5203	519	2	on	on	ADP
ejpam-5203	519	3	genocchi	genocchi	PROPN
ejpam-5203	519	4	polynomials	polynomial	NOUN
ejpam-5203	519	5	of	of	ADP
ejpam-5203	519	6	higher	high	ADJ
ejpam-5203	519	7	order	order	NOUN
ejpam-5203	519	8	arising	arise	VERB
ejpam-5203	519	9	from	from	ADP
ejpam-5203	519	10	genocchi	genocchi	PROPN
ejpam-5203	519	11	basis	basis	NOUN
ejpam-5203	519	12	.	.	PUNCT
ejpam-5203	520	1	taiwanese	taiwanese	ADJ
ejpam-5203	520	2	journal	journal	NOUN
ejpam-5203	520	3	of	of	ADP
ejpam-5203	520	4	mathematics	mathematics	PROPN
ejpam-5203	520	5	and	and	CCONJ
ejpam-5203	520	6	mathematical	mathematical	ADJ
ejpam-5203	520	7	sciences	sciences	PROPN
ejpam-5203	520	8	,	,	PUNCT
ejpam-5203	520	9	18(2):473–482	18(2):473–482	PROPN
ejpam-5203	520	10	,	,	PUNCT
ejpam-5203	520	11	2014	2014	NUM
ejpam-5203	520	12	.	.	PUNCT
ejpam-5203	521	1	[	[	X
ejpam-5203	521	2	16	16	X
ejpam-5203	521	3	]	]	X
ejpam-5203	521	4	y.	y.	NOUN
ejpam-5203	521	5	he	he	PRON
ejpam-5203	521	6	,	,	PUNCT
ejpam-5203	521	7	s.	s.	PROPN
ejpam-5203	521	8	araci	araci	PROPN
ejpam-5203	521	9	,	,	PUNCT
ejpam-5203	521	10	h.m	h.m	PROPN
ejpam-5203	521	11	.	.	PROPN
ejpam-5203	521	12	srivastava	srivastava	PROPN
ejpam-5203	521	13	,	,	PUNCT
ejpam-5203	521	14	and	and	CCONJ
ejpam-5203	521	15	m.	m.	NOUN
ejpam-5203	521	16	acikgoz	acikgoz	VERB
ejpam-5203	521	17	.	.	PUNCT
ejpam-5203	522	1	some	some	DET
ejpam-5203	522	2	new	new	ADJ
ejpam-5203	522	3	identities	identity	NOUN
ejpam-5203	522	4	for	for	ADP
ejpam-5203	522	5	the	the	DET
ejpam-5203	522	6	apostolbernoulli	apostolbernoulli	NOUN
ejpam-5203	522	7	polynomials	polynomial	NOUN
ejpam-5203	522	8	and	and	CCONJ
ejpam-5203	522	9	the	the	DET
ejpam-5203	522	10	apostol	apostol	NOUN
ejpam-5203	522	11	-	-	PUNCT
ejpam-5203	522	12	genocchi	genocchi	PROPN
ejpam-5203	522	13	polynomials	polynomial	NOUN
ejpam-5203	522	14	.	.	PUNCT
ejpam-5203	523	1	applied	apply	VERB
ejpam-5203	523	2	mathematics	mathematic	NOUN
ejpam-5203	523	3	and	and	CCONJ
ejpam-5203	523	4	computation	computation	NOUN
ejpam-5203	523	5	,	,	PUNCT
ejpam-5203	523	6	262:31–41	262:31–41	NUM
ejpam-5203	523	7	,	,	PUNCT
ejpam-5203	523	8	2015	2015	NUM
ejpam-5203	523	9	.	.	PUNCT
ejpam-5203	524	1	[	[	X
ejpam-5203	524	2	17	17	NUM
ejpam-5203	524	3	]	]	PUNCT
ejpam-5203	524	4	t.	t.	PROPN
ejpam-5203	524	5	kim	kim	PROPN
ejpam-5203	524	6	and	and	CCONJ
ejpam-5203	524	7	d.s	d.s	PROPN
ejpam-5203	524	8	.	.	PROPN
ejpam-5203	524	9	kim	kim	PROPN
ejpam-5203	524	10	.	.	PUNCT
ejpam-5203	525	1	some	some	DET
ejpam-5203	525	2	identities	identity	NOUN
ejpam-5203	525	3	of	of	ADP
ejpam-5203	525	4	higher	high	ADJ
ejpam-5203	525	5	-	-	PUNCT
ejpam-5203	525	6	order	order	NOUN
ejpam-5203	525	7	euler	euler	NOUN
ejpam-5203	525	8	polynomials	polynomial	NOUN
ejpam-5203	525	9	arising	arise	VERB
ejpam-5203	525	10	from	from	ADP
ejpam-5203	525	11	euler	euler	NOUN
ejpam-5203	525	12	basis	basis	NOUN
ejpam-5203	525	13	.	.	PUNCT
ejpam-5203	526	1	integral	integral	ADJ
ejpam-5203	526	2	transforms	transform	NOUN
ejpam-5203	526	3	and	and	CCONJ
ejpam-5203	526	4	special	special	ADJ
ejpam-5203	526	5	functions	function	NOUN
ejpam-5203	526	6	,	,	PUNCT
ejpam-5203	526	7	2013	2013	NUM
ejpam-5203	526	8	.	.	PUNCT
ejpam-5203	527	1	[	[	X
ejpam-5203	527	2	18	18	NUM
ejpam-5203	527	3	]	]	PUNCT
ejpam-5203	527	4	m.	m.	NOUN
ejpam-5203	527	5	kaneko	kaneko	PROPN
ejpam-5203	527	6	.	.	PUNCT
ejpam-5203	528	1	multiple	multiple	ADJ
ejpam-5203	528	2	zeta	zeta	PROPN
ejpam-5203	528	3	values	value	NOUN
ejpam-5203	528	4	and	and	CCONJ
ejpam-5203	528	5	poly	poly	ADJ
ejpam-5203	528	6	-	-	PUNCT
ejpam-5203	528	7	bernoulli	bernoulli	NOUN
ejpam-5203	528	8	numbers	number	NOUN
ejpam-5203	528	9	.	.	PUNCT
ejpam-5203	529	1	tokyo	tokyo	PROPN
ejpam-5203	529	2	metropolitan	metropolitan	PROPN
ejpam-5203	529	3	university	university	PROPN
ejpam-5203	529	4	seminar	seminar	NOUN
ejpam-5203	529	5	report	report	NOUN
ejpam-5203	529	6	,	,	PUNCT
ejpam-5203	529	7	1997	1997	NUM
ejpam-5203	529	8	.	.	PUNCT
ejpam-5203	530	1	[	[	X
ejpam-5203	530	2	19	19	NUM
ejpam-5203	530	3	]	]	PUNCT
ejpam-5203	530	4	t.	t.	PROPN
ejpam-5203	530	5	kim	kim	PROPN
ejpam-5203	530	6	,	,	PUNCT
ejpam-5203	530	7	y.s	y.s	PROPN
ejpam-5203	530	8	.	.	PROPN
ejpam-5203	530	9	jang	jang	PROPN
ejpam-5203	530	10	,	,	PUNCT
ejpam-5203	530	11	and	and	CCONJ
ejpam-5203	530	12	j.j	j.j	PROPN
ejpam-5203	530	13	.	.	PROPN
ejpam-5203	530	14	seo	seo	PROPN
ejpam-5203	530	15	.	.	PUNCT
ejpam-5203	531	1	a	a	DET
ejpam-5203	531	2	note	note	NOUN
ejpam-5203	531	3	on	on	ADP
ejpam-5203	531	4	poly	poly	ADJ
ejpam-5203	531	5	-	-	PUNCT
ejpam-5203	531	6	genocchi	genocchi	NOUN
ejpam-5203	531	7	numbers	number	NOUN
ejpam-5203	531	8	and	and	CCONJ
ejpam-5203	531	9	polynomials	polynomial	NOUN
ejpam-5203	531	10	.	.	PUNCT
ejpam-5203	532	1	applied	apply	VERB
ejpam-5203	532	2	mathematical	mathematical	ADJ
ejpam-5203	532	3	sciences	science	NOUN
ejpam-5203	532	4	,	,	PUNCT
ejpam-5203	532	5	8:4775–4781	8:4775–4781	NUM
ejpam-5203	532	6	,	,	PUNCT
ejpam-5203	532	7	2014	2014	NUM
ejpam-5203	532	8	.	.	PUNCT
ejpam-5203	533	1	[	[	X
ejpam-5203	533	2	20	20	NUM
ejpam-5203	533	3	]	]	PUNCT
ejpam-5203	533	4	b.	b.	PROPN
ejpam-5203	533	5	kurt	kurt	PROPN
ejpam-5203	533	6	.	.	PUNCT
ejpam-5203	534	1	some	some	DET
ejpam-5203	534	2	identities	identity	NOUN
ejpam-5203	534	3	for	for	ADP
ejpam-5203	534	4	the	the	DET
ejpam-5203	534	5	generalized	generalize	VERB
ejpam-5203	534	6	poly	poly	ADJ
ejpam-5203	534	7	-	-	PUNCT
ejpam-5203	534	8	genocchi	genocchi	NOUN
ejpam-5203	534	9	polynomials	polynomial	NOUN
ejpam-5203	534	10	with	with	ADP
ejpam-5203	534	11	the	the	DET
ejpam-5203	534	12	parameters	parameter	NOUN
ejpam-5203	534	13	a	a	DET
ejpam-5203	534	14	,	,	PUNCT
ejpam-5203	534	15	b	b	NOUN
ejpam-5203	534	16	,	,	PUNCT
ejpam-5203	534	17	and	and	CCONJ
ejpam-5203	534	18	c.	c.	PROPN
ejpam-5203	534	19	journal	journal	PROPN
ejpam-5203	534	20	of	of	ADP
ejpam-5203	534	21	mathematical	mathematical	ADJ
ejpam-5203	534	22	analysis	analysis	NOUN
ejpam-5203	534	23	,	,	PUNCT
ejpam-5203	534	24	8(1):156–163	8(1):156–163	NUM
ejpam-5203	534	25	,	,	PUNCT
ejpam-5203	534	26	2017	2017	NUM
ejpam-5203	534	27	.	.	PUNCT
ejpam-5203	535	1	[	[	X
ejpam-5203	535	2	21	21	NUM
ejpam-5203	535	3	]	]	X
ejpam-5203	535	4	d.	d.	PROPN
ejpam-5203	535	5	lim	lim	PROPN
ejpam-5203	535	6	.	.	PUNCT
ejpam-5203	536	1	some	some	DET
ejpam-5203	536	2	identities	identity	NOUN
ejpam-5203	536	3	of	of	ADP
ejpam-5203	536	4	degenerate	degenerate	ADJ
ejpam-5203	536	5	genocchi	genocchi	NOUN
ejpam-5203	536	6	polynomials	polynomial	NOUN
ejpam-5203	536	7	.	.	PUNCT
ejpam-5203	537	1	bulletin	bulletin	NOUN
ejpam-5203	537	2	of	of	ADP
ejpam-5203	537	3	the	the	DET
ejpam-5203	537	4	korean	korean	PROPN
ejpam-5203	537	5	mathematical	mathematical	ADJ
ejpam-5203	537	6	society	society	NOUN
ejpam-5203	537	7	,	,	PUNCT
ejpam-5203	537	8	53(2):569–579	53(2):569–579	PROPN
ejpam-5203	537	9	,	,	PUNCT
ejpam-5203	537	10	2016	2016	NUM
ejpam-5203	537	11	.	.	PUNCT
ejpam-5203	538	1	[	[	X
ejpam-5203	538	2	22	22	NUM
ejpam-5203	538	3	]	]	X
ejpam-5203	538	4	u.	u.	PROPN
ejpam-5203	538	5	duran	duran	PROPN
ejpam-5203	538	6	,	,	PUNCT
ejpam-5203	538	7	m.	m.	NOUN
ejpam-5203	538	8	acikgoz	acikgoz	ADJ
ejpam-5203	538	9	,	,	PUNCT
ejpam-5203	538	10	and	and	CCONJ
ejpam-5203	538	11	s.	s.	PROPN
ejpam-5203	538	12	araci	araci	PROPN
ejpam-5203	538	13	.	.	PUNCT
ejpam-5203	539	1	symmetric	symmetric	ADJ
ejpam-5203	539	2	identities	identity	NOUN
ejpam-5203	539	3	involving	involve	VERB
ejpam-5203	539	4	weighted	weight	VERB
ejpam-5203	539	5	qgenocchi	qgenocchi	ADJ
ejpam-5203	539	6	polynomials	polynomial	NOUN
ejpam-5203	539	7	under	under	ADP
ejpam-5203	539	8	s4	s4	PROPN
ejpam-5203	539	9	.	.	PUNCT
ejpam-5203	540	1	proceedings	proceeding	NOUN
ejpam-5203	540	2	of	of	ADP
ejpam-5203	540	3	the	the	DET
ejpam-5203	540	4	jangjeon	jangjeon	PROPN
ejpam-5203	540	5	mathematical	mathematical	PROPN
ejpam-5203	540	6	society	society	NOUN
ejpam-5203	540	7	,	,	PUNCT
ejpam-5203	540	8	18(4):455–465	18(4):455–465	NUM
ejpam-5203	540	9	,	,	PUNCT
ejpam-5203	540	10	2015	2015	NUM
ejpam-5203	540	11	.	.	PUNCT
ejpam-5203	541	1	[	[	X
ejpam-5203	541	2	23	23	NUM
ejpam-5203	541	3	]	]	X
ejpam-5203	541	4	e.	e.	PROPN
ejpam-5203	541	5	agyuz	agyuz	PROPN
ejpam-5203	541	6	,	,	PUNCT
ejpam-5203	541	7	m.	m.	NOUN
ejpam-5203	541	8	acikgoz	acikgoz	ADJ
ejpam-5203	541	9	,	,	PUNCT
ejpam-5203	541	10	and	and	CCONJ
ejpam-5203	541	11	s.	s.	PROPN
ejpam-5203	541	12	araci	araci	PROPN
ejpam-5203	541	13	.	.	PUNCT
ejpam-5203	542	1	a	a	DET
ejpam-5203	542	2	symmetric	symmetric	ADJ
ejpam-5203	542	3	identity	identity	NOUN
ejpam-5203	542	4	on	on	ADP
ejpam-5203	542	5	the	the	DET
ejpam-5203	542	6	q	q	NOUN
ejpam-5203	542	7	-	-	ADJ
ejpam-5203	542	8	genocchi	genocchi	ADJ
ejpam-5203	542	9	polynomials	polynomial	NOUN
ejpam-5203	542	10	of	of	ADP
ejpam-5203	542	11	higher	high	ADJ
ejpam-5203	542	12	-	-	PUNCT
ejpam-5203	542	13	order	order	NOUN
ejpam-5203	542	14	under	under	ADP
ejpam-5203	542	15	third	third	ADJ
ejpam-5203	542	16	dihedral	dihedral	ADJ
ejpam-5203	542	17	group	group	NOUN
ejpam-5203	542	18	d3	d3	PROPN
ejpam-5203	542	19	.	.	PUNCT
ejpam-5203	543	1	proceedings	proceeding	NOUN
ejpam-5203	543	2	of	of	ADP
ejpam-5203	543	3	the	the	DET
ejpam-5203	543	4	jangjeon	jangjeon	PROPN
ejpam-5203	543	5	m.	m.	PROPN
ejpam-5203	543	6	laurente	laurente	PROPN
ejpam-5203	543	7	,	,	PUNCT
ejpam-5203	543	8	az	az	PROPN
ejpam-5203	543	9	d.	d.	PROPN
ejpam-5203	543	10	ababa	ababa	PROPN
ejpam-5203	543	11	/	/	SYM
ejpam-5203	543	12	eur	eur	PROPN
ejpam-5203	543	13	.	.	PUNCT
ejpam-5203	544	1	j.	j.	PROPN
ejpam-5203	544	2	pure	pure	PROPN
ejpam-5203	544	3	appl	appl	PROPN
ejpam-5203	544	4	.	.	PROPN
ejpam-5203	544	5	math	math	PROPN
ejpam-5203	544	6	,	,	PUNCT
ejpam-5203	544	7	18	18	NUM
ejpam-5203	544	8	(	(	PUNCT
ejpam-5203	544	9	4	4	NUM
ejpam-5203	544	10	)	)	PUNCT
ejpam-5203	544	11	(	(	PUNCT
ejpam-5203	544	12	2025	2025	NUM
ejpam-5203	544	13	)	)	PUNCT
ejpam-5203	544	14	,	,	PUNCT
ejpam-5203	544	15	5203	5203	NUM
ejpam-5203	544	16	19	19	NUM
ejpam-5203	544	17	of	of	ADP
ejpam-5203	544	18	19	19	NUM
ejpam-5203	544	19	mathematical	mathematical	ADJ
ejpam-5203	544	20	society	society	NOUN
ejpam-5203	544	21	,	,	PUNCT
ejpam-5203	544	22	18(2):177–187	18(2):177–187	NUM
ejpam-5203	544	23	,	,	PUNCT
ejpam-5203	544	24	2015	2015	NUM
ejpam-5203	544	25	.	.	PUNCT
ejpam-5203	545	1	[	[	X
ejpam-5203	545	2	24	24	NUM
ejpam-5203	545	3	]	]	PUNCT
ejpam-5203	545	4	c.	c.	PROPN
ejpam-5203	545	5	b.	b.	PROPN
ejpam-5203	545	6	corcino	corcino	PROPN
ejpam-5203	545	7	and	and	CCONJ
ejpam-5203	545	8	r.	r.	PROPN
ejpam-5203	545	9	b.	b.	PROPN
ejpam-5203	545	10	corcino	corcino	PROPN
ejpam-5203	545	11	.	.	PUNCT
ejpam-5203	546	1	higher	high	ADJ
ejpam-5203	546	2	order	order	NOUN
ejpam-5203	546	3	apostol	apostol	NOUN
ejpam-5203	546	4	-	-	PUNCT
ejpam-5203	546	5	type	type	NOUN
ejpam-5203	546	6	poly	poly	ADJ
ejpam-5203	546	7	-	-	PUNCT
ejpam-5203	546	8	genocchi	genocchi	NOUN
ejpam-5203	546	9	polynomials	polynomial	NOUN
ejpam-5203	546	10	with	with	ADP
ejpam-5203	546	11	parameters	parameter	NOUN
ejpam-5203	546	12	a	a	PRON
ejpam-5203	546	13	,	,	PUNCT
ejpam-5203	546	14	b	b	PROPN
ejpam-5203	546	15	and	and	CCONJ
ejpam-5203	546	16	c.	c.	PROPN
ejpam-5203	546	17	communications	communication	NOUN
ejpam-5203	546	18	of	of	ADP
ejpam-5203	546	19	the	the	DET
ejpam-5203	546	20	korean	korean	ADJ
ejpam-5203	546	21	mathematical	mathematical	ADJ
ejpam-5203	546	22	society	society	NOUN
ejpam-5203	546	23	,	,	PUNCT
ejpam-5203	546	24	36(3):423–445	36(3):423–445	NOUN
ejpam-5203	546	25	,	,	PUNCT
ejpam-5203	546	26	2021	2021	NUM
ejpam-5203	546	27	.	.	PUNCT
ejpam-5203	547	1	[	[	X
ejpam-5203	547	2	25	25	NUM
ejpam-5203	547	3	]	]	PUNCT
ejpam-5203	547	4	r.	r.	PROPN
ejpam-5203	547	5	b.	b.	PROPN
ejpam-5203	547	6	corcino	corcino	PROPN
ejpam-5203	547	7	and	and	CCONJ
ejpam-5203	547	8	c.	c.	PROPN
ejpam-5203	547	9	b.	b.	PROPN
ejpam-5203	547	10	corcino	corcino	PROPN
ejpam-5203	547	11	.	.	PUNCT
ejpam-5203	548	1	higher	high	ADJ
ejpam-5203	548	2	order	order	NOUN
ejpam-5203	548	3	bivariate	bivariate	ADJ
ejpam-5203	548	4	bell	bell	NOUN
ejpam-5203	548	5	-	-	PUNCT
ejpam-5203	548	6	based	base	VERB
ejpam-5203	548	7	apostol	apostol	NOUN
ejpam-5203	548	8	-	-	PUNCT
ejpam-5203	548	9	frobeniustype	frobeniustype	NOUN
ejpam-5203	548	10	poly	poly	ADJ
ejpam-5203	548	11	-	-	PUNCT
ejpam-5203	548	12	genocchi	genocchi	NOUN
ejpam-5203	548	13	polynomials	polynomial	NOUN
ejpam-5203	548	14	with	with	ADP
ejpam-5203	548	15	parameters	parameter	NOUN
ejpam-5203	548	16	a	a	DET
ejpam-5203	548	17	and	and	CCONJ
ejpam-5203	548	18	b.	b.	PROPN
ejpam-5203	548	19	european	european	PROPN
ejpam-5203	548	20	journal	journal	PROPN
ejpam-5203	548	21	of	of	ADP
ejpam-5203	548	22	pure	pure	ADJ
ejpam-5203	548	23	and	and	CCONJ
ejpam-5203	548	24	applied	applied	ADJ
ejpam-5203	548	25	mathematics	mathematic	NOUN
ejpam-5203	548	26	,	,	PUNCT
ejpam-5203	548	27	17(3):1471–1489	17(3):1471–1489	NUM
ejpam-5203	548	28	,	,	PUNCT
ejpam-5203	548	29	2024	2024	NUM
ejpam-5203	548	30	.	.	PUNCT
ejpam-5203	549	1	[	[	X
ejpam-5203	549	2	26	26	NUM
ejpam-5203	549	3	]	]	PUNCT
ejpam-5203	549	4	m.	m.	NOUN
ejpam-5203	549	5	kaneko	kaneko	PROPN
ejpam-5203	549	6	.	.	PUNCT
ejpam-5203	549	7	poly	poly	ADJ
ejpam-5203	549	8	-	-	PUNCT
ejpam-5203	549	9	bernoulli	bernoulli	NOUN
ejpam-5203	549	10	numbers	number	NOUN
ejpam-5203	549	11	.	.	PUNCT
ejpam-5203	550	1	journal	journal	PROPN
ejpam-5203	550	2	de	de	PROPN
ejpam-5203	550	3	théorie	théorie	PROPN
ejpam-5203	550	4	des	des	PROPN
ejpam-5203	550	5	nombres	nombre	NOUN
ejpam-5203	550	6	,	,	PUNCT
ejpam-5203	550	7	9:221–228	9:221–228	PROPN
ejpam-5203	550	8	,	,	PUNCT
ejpam-5203	550	9	1997	1997	NUM
ejpam-5203	550	10	.	.	PUNCT