id	sid	tid	token	lemma	pos
ejpam-3594	1	1	european	european	PROPN
ejpam-3594	1	2	journal	journal	PROPN
ejpam-3594	1	3	of	of	ADP
ejpam-3594	1	4	pure	pure	ADJ
ejpam-3594	1	5	and	and	CCONJ
ejpam-3594	1	6	applied	apply	VERB
ejpam-3594	1	7	mathematics	mathematic	NOUN
ejpam-3594	1	8	vol	vol	NOUN
ejpam-3594	1	9	.	.	PROPN
ejpam-3594	2	1	13	13	NUM
ejpam-3594	2	2	,	,	PUNCT
ejpam-3594	2	3	no	no	INTJ
ejpam-3594	2	4	.	.	NOUN
ejpam-3594	2	5	1	1	NUM
ejpam-3594	2	6	,	,	PUNCT
ejpam-3594	2	7	2020	2020	NUM
ejpam-3594	2	8	,	,	PUNCT
ejpam-3594	2	9	108	108	NUM
ejpam-3594	2	10	-	-	SYM
ejpam-3594	2	11	112	112	NUM
ejpam-3594	2	12	issn	issn	PROPN
ejpam-3594	2	13	1307	1307	NUM
ejpam-3594	2	14	-	-	SYM
ejpam-3594	2	15	5543	5543	NUM
ejpam-3594	2	16	–	–	PUNCT
ejpam-3594	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3594	2	18	published	publish	VERB
ejpam-3594	2	19	by	by	ADP
ejpam-3594	2	20	new	new	PROPN
ejpam-3594	2	21	york	york	PROPN
ejpam-3594	2	22	business	business	NOUN
ejpam-3594	2	23	global	global	ADJ
ejpam-3594	2	24	proof	proof	NOUN
ejpam-3594	2	25	of	of	ADP
ejpam-3594	2	26	golomb	golomb	PROPN
ejpam-3594	2	27	’s	’s	PART
ejpam-3594	2	28	conjecture	conjecture	NOUN
ejpam-3594	2	29	in	in	ADP
ejpam-3594	2	30	fq	fq	PROPN
ejpam-3594	2	31	with	with	ADP
ejpam-3594	2	32	γ$-pseudorandom	γ$-pseudorandom	ADP
ejpam-3594	2	33	sequences	sequence	NOUN
ejpam-3594	2	34	yonghong	yonghong	PROPN
ejpam-3594	2	35	liu	liu	PROPN
ejpam-3594	2	36	school	school	PROPN
ejpam-3594	2	37	of	of	ADP
ejpam-3594	2	38	automation	automation	NOUN
ejpam-3594	2	39	,	,	PUNCT
ejpam-3594	2	40	wuhan	wuhan	PROPN
ejpam-3594	2	41	university	university	PROPN
ejpam-3594	2	42	of	of	ADP
ejpam-3594	2	43	technology	technology	NOUN
ejpam-3594	2	44	,	,	PUNCT
ejpam-3594	2	45	205	205	NUM
ejpam-3594	2	46	luoshi	luoshi	PROPN
ejpam-3594	2	47	road	road	NOUN
ejpam-3594	2	48	,	,	PUNCT
ejpam-3594	2	49	wuhan	wuhan	PROPN
ejpam-3594	2	50	,	,	PUNCT
ejpam-3594	2	51	china	china	PROPN
ejpam-3594	2	52	abstract	abstract	PROPN
ejpam-3594	2	53	.	.	PUNCT
ejpam-3594	3	1	this	this	DET
ejpam-3594	3	2	article	article	NOUN
ejpam-3594	3	3	offers	offer	VERB
ejpam-3594	3	4	a	a	DET
ejpam-3594	3	5	short	short	ADJ
ejpam-3594	3	6	proof	proof	NOUN
ejpam-3594	3	7	of	of	ADP
ejpam-3594	3	8	golomb	golomb	NOUN
ejpam-3594	3	9	’s	’s	PART
ejpam-3594	3	10	conjecture	conjecture	NOUN
ejpam-3594	3	11	,	,	PUNCT
ejpam-3594	3	12	and	and	CCONJ
ejpam-3594	3	13	then	then	ADV
ejpam-3594	3	14	our	our	PRON
ejpam-3594	3	15	results	result	NOUN
ejpam-3594	3	16	show	show	VERB
ejpam-3594	3	17	that	that	SCONJ
ejpam-3594	3	18	the	the	DET
ejpam-3594	3	19	sequences	sequence	NOUN
ejpam-3594	3	20	are	be	AUX
ejpam-3594	3	21	pseudorandom	pseudorandom	NOUN
ejpam-3594	3	22	in	in	ADP
ejpam-3594	3	23	f2	f2	PROPN
ejpam-3594	3	24	.	.	PUNCT
ejpam-3594	4	1	2020	2020	NUM
ejpam-3594	4	2	mathematics	mathematics	PROPN
ejpam-3594	4	3	subject	subject	NOUN
ejpam-3594	4	4	classifications	classification	NOUN
ejpam-3594	4	5	:	:	PUNCT
ejpam-3594	4	6	11a41	11a41	NUM
ejpam-3594	4	7	,	,	PUNCT
ejpam-3594	4	8	11a07	11a07	NUM
ejpam-3594	4	9	,	,	PUNCT
ejpam-3594	4	10	12e20	12e20	NUM
ejpam-3594	4	11	,	,	PUNCT
ejpam-3594	4	12	11b50	11b50	NUM
ejpam-3594	4	13	key	key	ADJ
ejpam-3594	4	14	words	word	NOUN
ejpam-3594	4	15	and	and	CCONJ
ejpam-3594	4	16	phrases	phrase	NOUN
ejpam-3594	4	17	:	:	PUNCT
ejpam-3594	4	18	primes	prime	NOUN
ejpam-3594	4	19	,	,	PUNCT
ejpam-3594	4	20	primitive	primitive	ADJ
ejpam-3594	4	21	roots	root	NOUN
ejpam-3594	4	22	,	,	PUNCT
ejpam-3594	4	23	finite	finite	ADJ
ejpam-3594	4	24	fields	field	NOUN
ejpam-3594	4	25	,	,	PUNCT
ejpam-3594	4	26	sequences	sequence	NOUN
ejpam-3594	4	27	,	,	PUNCT
ejpam-3594	4	28	golomb	golomb	PROPN
ejpam-3594	4	29	’s	’s	PART
ejpam-3594	4	30	conjecture	conjecture	NOUN
ejpam-3594	4	31	1	1	NUM
ejpam-3594	4	32	.	.	PUNCT
ejpam-3594	5	1	introduction	introduction	NOUN
ejpam-3594	5	2	question	question	NOUN
ejpam-3594	5	3	10208b	10208b	NUM
ejpam-3594	5	4	(	(	PUNCT
ejpam-3594	5	5	1992	1992	NUM
ejpam-3594	5	6	)	)	PUNCT
ejpam-3594	5	7	of	of	ADP
ejpam-3594	5	8	the	the	DET
ejpam-3594	5	9	american	american	PROPN
ejpam-3594	5	10	mathematical	mathematical	PROPN
ejpam-3594	5	11	monthly	monthly	ADV
ejpam-3594	5	12	asked	ask	VERB
ejpam-3594	5	13	:	:	PUNCT
ejpam-3594	5	14	does	do	AUX
ejpam-3594	5	15	there	there	PRON
ejpam-3594	5	16	exist	exist	VERB
ejpam-3594	5	17	an	an	DET
ejpam-3594	5	18	increasing	increase	VERB
ejpam-3594	5	19	sequence	sequence	NOUN
ejpam-3594	5	20	{	{	PUNCT
ejpam-3594	5	21	ak	ak	NOUN
ejpam-3594	5	22	}	}	PUNCT
ejpam-3594	5	23	of	of	ADP
ejpam-3594	5	24	positive	positive	ADJ
ejpam-3594	5	25	integers	integer	NOUN
ejpam-3594	5	26	and	and	CCONJ
ejpam-3594	5	27	a	a	DET
ejpam-3594	5	28	constant	constant	ADJ
ejpam-3594	5	29	b	b	NOUN
ejpam-3594	5	30	>	>	X
ejpam-3594	5	31	0	0	PUNCT
ejpam-3594	6	1	having	have	VERB
ejpam-3594	6	2	the	the	DET
ejpam-3594	6	3	property	property	NOUN
ejpam-3594	6	4	that	that	PRON
ejpam-3594	6	5	{	{	PUNCT
ejpam-3594	6	6	ak	ak	PROPN
ejpam-3594	6	7	+	+	PROPN
ejpam-3594	6	8	n	n	CCONJ
ejpam-3594	6	9	}	}	PUNCT
ejpam-3594	6	10	contains	contain	VERB
ejpam-3594	6	11	no	no	DET
ejpam-3594	6	12	more	more	ADJ
ejpam-3594	6	13	than	than	ADP
ejpam-3594	6	14	b	b	NOUN
ejpam-3594	6	15	primes	prime	NOUN
ejpam-3594	6	16	for	for	ADP
ejpam-3594	6	17	every	every	DET
ejpam-3594	6	18	integer	integer	NOUN
ejpam-3594	6	19	n	n	X
ejpam-3594	6	20	?	?	PUNCT
ejpam-3594	7	1	if	if	SCONJ
ejpam-3594	7	2	it	it	PRON
ejpam-3594	7	3	turns	turn	VERB
ejpam-3594	7	4	out	out	ADP
ejpam-3594	7	5	that	that	SCONJ
ejpam-3594	7	6	a	a	DET
ejpam-3594	7	7	positive	positive	ADJ
ejpam-3594	7	8	answer	answer	NOUN
ejpam-3594	7	9	to	to	ADP
ejpam-3594	7	10	this	this	DET
ejpam-3594	7	11	question	question	NOUN
ejpam-3594	7	12	became	became	AUX
ejpam-3594	7	13	known	know	VERB
ejpam-3594	7	14	as	as	ADP
ejpam-3594	7	15	golomb	golomb	NOUN
ejpam-3594	7	16	’s	’s	PART
ejpam-3594	7	17	conjecture	conjecture	NOUN
ejpam-3594	8	1	[	[	X
ejpam-3594	8	2	1	1	NUM
ejpam-3594	8	3	]	]	PUNCT
ejpam-3594	8	4	.	.	PUNCT
ejpam-3594	9	1	let	let	VERB
ejpam-3594	9	2	fq	fq	PROPN
ejpam-3594	9	3	denote	denote	VERB
ejpam-3594	9	4	the	the	DET
ejpam-3594	9	5	finite	finite	ADJ
ejpam-3594	9	6	field	field	NOUN
ejpam-3594	9	7	of	of	ADP
ejpam-3594	9	8	order	order	NOUN
ejpam-3594	9	9	q	q	NOUN
ejpam-3594	9	10	,	,	PUNCT
ejpam-3594	9	11	where	where	SCONJ
ejpam-3594	9	12	q	q	NOUN
ejpam-3594	9	13	=	=	SYM
ejpam-3594	9	14	pn	pn	NOUN
ejpam-3594	9	15	,	,	PUNCT
ejpam-3594	9	16	and	and	CCONJ
ejpam-3594	9	17	p	p	NOUN
ejpam-3594	9	18	is	be	AUX
ejpam-3594	9	19	a	a	DET
ejpam-3594	9	20	prime	prime	NOUN
ejpam-3594	9	21	,	,	PUNCT
ejpam-3594	9	22	if	if	SCONJ
ejpam-3594	9	23	n=1	n=1	PROPN
ejpam-3594	9	24	,	,	PUNCT
ejpam-3594	9	25	golomb	golomb	PROPN
ejpam-3594	9	26	’s	’s	PART
ejpam-3594	9	27	conjecture	conjecture	NOUN
ejpam-3594	9	28	equivalent	equivalent	ADJ
ejpam-3594	9	29	to	to	PART
ejpam-3594	9	30	:	:	PUNCT
ejpam-3594	9	31	conjecture	conjecture	VERB
ejpam-3594	9	32	1	1	NUM
ejpam-3594	9	33	.	.	PUNCT
ejpam-3594	10	1	let	let	VERB
ejpam-3594	10	2	α	α	PRON
ejpam-3594	10	3	and	and	CCONJ
ejpam-3594	10	4	β	β	X
ejpam-3594	10	5	be	be	AUX
ejpam-3594	10	6	two	two	NUM
ejpam-3594	10	7	primitive	primitive	ADJ
ejpam-3594	10	8	roots	root	NOUN
ejpam-3594	10	9	of	of	ADP
ejpam-3594	10	10	f(x)(mod	f(x)(mod	NOUN
ejpam-3594	10	11	p	p	NOUN
ejpam-3594	10	12	)	)	PUNCT
ejpam-3594	10	13	in	in	ADP
ejpam-3594	10	14	fq	fq	PROPN
ejpam-3594	10	15	,	,	PUNCT
ejpam-3594	10	16	then	then	ADV
ejpam-3594	10	17	f(α	f(α	NOUN
ejpam-3594	10	18	)	)	PUNCT
ejpam-3594	11	1	+	+	CCONJ
ejpam-3594	11	2	f(β	f(β	NOUN
ejpam-3594	11	3	)	)	PUNCT
ejpam-3594	11	4	≡	≡	PROPN
ejpam-3594	11	5	1	1	NUM
ejpam-3594	11	6	(	(	PUNCT
ejpam-3594	11	7	mod	mod	NOUN
ejpam-3594	11	8	p	p	NOUN
ejpam-3594	11	9	)	)	PUNCT
ejpam-3594	11	10	.	.	PUNCT
ejpam-3594	12	1	(	(	PUNCT
ejpam-3594	12	2	1	1	X
ejpam-3594	12	3	)	)	PUNCT
ejpam-3594	12	4	moreno	moreno	NOUN
ejpam-3594	12	5	and	and	CCONJ
ejpam-3594	12	6	sotero	sotero	NOUN
ejpam-3594	13	1	[	[	X
ejpam-3594	13	2	2	2	X
ejpam-3594	13	3	]	]	PUNCT
ejpam-3594	13	4	proved	prove	VERB
ejpam-3594	13	5	that	that	SCONJ
ejpam-3594	13	6	golombs	golombs	NOUN
ejpam-3594	13	7	conjecture	conjecture	NOUN
ejpam-3594	13	8	is	be	AUX
ejpam-3594	13	9	true	true	ADJ
ejpam-3594	13	10	for	for	ADP
ejpam-3594	13	11	all	all	DET
ejpam-3594	13	12	q	q	X
ejpam-3594	13	13	<	<	X
ejpam-3594	13	14	260	260	NUM
ejpam-3594	13	15	.	.	PUNCT
ejpam-3594	13	16	golomb	golomb	NOUN
ejpam-3594	14	1	[	[	X
ejpam-3594	14	2	3	3	X
ejpam-3594	14	3	]	]	PUNCT
ejpam-3594	14	4	pointed	point	VERB
ejpam-3594	14	5	out	out	ADP
ejpam-3594	14	6	that	that	SCONJ
ejpam-3594	14	7	the	the	DET
ejpam-3594	14	8	conjecture	conjecture	NOUN
ejpam-3594	14	9	associated	associate	VERB
ejpam-3594	14	10	with	with	ADP
ejpam-3594	14	11	sequences	sequence	NOUN
ejpam-3594	14	12	and	and	CCONJ
ejpam-3594	14	13	prime	prime	ADJ
ejpam-3594	14	14	numbers	number	NOUN
ejpam-3594	14	15	.	.	PUNCT
ejpam-3594	15	1	elsholtz	elsholtz	NOUN
ejpam-3594	15	2	[	[	X
ejpam-3594	15	3	4	4	NUM
ejpam-3594	15	4	]	]	PUNCT
ejpam-3594	15	5	proved	prove	VERB
ejpam-3594	15	6	in	in	ADP
ejpam-3594	15	7	2017	2017	NUM
ejpam-3594	15	8	that	that	PRON
ejpam-3594	15	9	golomb	golomb	VERB
ejpam-3594	15	10	’s	’s	PART
ejpam-3594	15	11	conjecture	conjecture	NOUN
ejpam-3594	15	12	was	be	AUX
ejpam-3594	15	13	false	false	ADJ
ejpam-3594	15	14	.	.	PUNCT
ejpam-3594	16	1	elsholtz	elsholtz	PROPN
ejpam-3594	16	2	gave	give	VERB
ejpam-3594	16	3	an	an	DET
ejpam-3594	16	4	example	example	NOUN
ejpam-3594	16	5	to	to	PART
ejpam-3594	16	6	explain	explain	VERB
ejpam-3594	16	7	the	the	DET
ejpam-3594	16	8	fermat	fermat	PROPN
ejpam-3594	16	9	numbers	number	NOUN
ejpam-3594	16	10	contains	contain	VERB
ejpam-3594	16	11	at	at	ADP
ejpam-3594	16	12	least	least	ADJ
ejpam-3594	16	13	b	b	NOUN
ejpam-3594	16	14	+	+	CCONJ
ejpam-3594	16	15	1	1	NUM
ejpam-3594	16	16	primes	prime	NOUN
ejpam-3594	16	17	,	,	PUNCT
ejpam-3594	16	18	but	but	CCONJ
ejpam-3594	16	19	his	his	PRON
ejpam-3594	16	20	research	research	NOUN
ejpam-3594	16	21	has	have	AUX
ejpam-3594	16	22	shown	show	VERB
ejpam-3594	16	23	that	that	SCONJ
ejpam-3594	16	24	we	we	PRON
ejpam-3594	16	25	can	can	AUX
ejpam-3594	16	26	not	not	PART
ejpam-3594	16	27	conclude	conclude	VERB
ejpam-3594	16	28	that	that	SCONJ
ejpam-3594	16	29	there	there	PRON
ejpam-3594	16	30	is	be	VERB
ejpam-3594	16	31	any	any	DET
ejpam-3594	16	32	fixed	fixed	ADJ
ejpam-3594	16	33	n	n	NOUN
ejpam-3594	16	34	such	such	ADJ
ejpam-3594	16	35	that	that	SCONJ
ejpam-3594	16	36	the	the	DET
ejpam-3594	16	37	sequence	sequence	NOUN
ejpam-3594	16	38	{	{	PUNCT
ejpam-3594	16	39	22i	22i	NOUN
ejpam-3594	16	40	+	+	NOUN
ejpam-3594	16	41	n	n	CCONJ
ejpam-3594	16	42	}	}	PUNCT
ejpam-3594	16	43	contains	contain	VERB
ejpam-3594	16	44	innitely	innitely	ADV
ejpam-3594	16	45	many	many	ADJ
ejpam-3594	16	46	primes	prime	NOUN
ejpam-3594	16	47	.	.	PUNCT
ejpam-3594	17	1	certainly	certainly	ADV
ejpam-3594	17	2	!	!	PUNCT
ejpam-3594	18	1	the	the	DET
ejpam-3594	18	2	conjecture	conjecture	NOUN
ejpam-3594	18	3	is	be	AUX
ejpam-3594	18	4	true	true	ADJ
ejpam-3594	18	5	for	for	ADP
ejpam-3594	18	6	the	the	DET
ejpam-3594	18	7	special	special	ADJ
ejpam-3594	18	8	case	case	NOUN
ejpam-3594	18	9	.	.	PUNCT
ejpam-3594	19	1	because	because	SCONJ
ejpam-3594	19	2	of	of	ADP
ejpam-3594	19	3	pseudorandom	pseudorandom	NOUN
ejpam-3594	19	4	sequences	sequence	NOUN
ejpam-3594	19	5	unique	unique	ADJ
ejpam-3594	19	6	characteristic	characteristic	ADJ
ejpam-3594	19	7	they	they	PRON
ejpam-3594	19	8	have	have	AUX
ejpam-3594	19	9	been	be	AUX
ejpam-3594	19	10	widely	widely	ADV
ejpam-3594	19	11	used	use	VERB
ejpam-3594	19	12	in	in	ADP
ejpam-3594	19	13	many	many	ADJ
ejpam-3594	19	14	fields	field	NOUN
ejpam-3594	19	15	.	.	PUNCT
ejpam-3594	20	1	in	in	ADP
ejpam-3594	20	2	this	this	DET
ejpam-3594	20	3	paper	paper	NOUN
ejpam-3594	20	4	we	we	PRON
ejpam-3594	20	5	prove	prove	VERB
ejpam-3594	20	6	that	that	SCONJ
ejpam-3594	20	7	the	the	DET
ejpam-3594	20	8	golombs	golombs	NOUN
ejpam-3594	20	9	conjecture	conjecture	NOUN
ejpam-3594	20	10	in	in	ADP
ejpam-3594	20	11	fq	fq	PROPN
ejpam-3594	20	12	,	,	PUNCT
ejpam-3594	20	13	and	and	CCONJ
ejpam-3594	20	14	we	we	PRON
ejpam-3594	20	15	show	show	VERB
ejpam-3594	20	16	that	that	SCONJ
ejpam-3594	20	17	a	a	DET
ejpam-3594	20	18	new	new	ADJ
ejpam-3594	20	19	pseudorandom	pseudorandom	NOUN
ejpam-3594	20	20	sequence	sequence	NOUN
ejpam-3594	20	21	(	(	PUNCT
ejpam-3594	20	22	denote	denote	NOUN
ejpam-3594	20	23	γ$	γ$	NOUN
ejpam-3594	20	24	)	)	PUNCT
ejpam-3594	20	25	in	in	ADP
ejpam-3594	20	26	f2	f2	PROPN
ejpam-3594	20	27	is	be	AUX
ejpam-3594	20	28	existent	existent	ADJ
ejpam-3594	20	29	by	by	ADP
ejpam-3594	20	30	golomb	golomb	NOUN
ejpam-3594	20	31	conjecture	conjecture	NOUN
ejpam-3594	20	32	and	and	CCONJ
ejpam-3594	20	33	additive	additive	ADJ
ejpam-3594	20	34	groups	group	NOUN
ejpam-3594	20	35	.	.	PUNCT
ejpam-3594	21	1	doi	doi	NOUN
ejpam-3594	21	2	:	:	PUNCT
ejpam-3594	21	3	https://doi.org/10.29020/nybg.ejpam.v13i1.3594	https://doi.org/10.29020/nybg.ejpam.v13i1.3594	PROPN
ejpam-3594	21	4	email	email	NOUN
ejpam-3594	21	5	address	address	NOUN
ejpam-3594	21	6	:	:	PUNCT
ejpam-3594	21	7	hylinin@whut.edu.cn	hylinin@whut.edu.cn	NOUN
ejpam-3594	21	8	(	(	PUNCT
ejpam-3594	21	9	y.	y.	PROPN
ejpam-3594	21	10	liu	liu	PROPN
ejpam-3594	21	11	)	)	PUNCT
ejpam-3594	21	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3594	22	1	108	108	NUM
ejpam-3594	22	2	c	c	NOUN
ejpam-3594	22	3	©	©	NOUN
ejpam-3594	22	4	2020	2020	NUM
ejpam-3594	22	5	ejpam	ejpam	VERB
ejpam-3594	22	6	all	all	DET
ejpam-3594	22	7	rights	right	NOUN
ejpam-3594	22	8	reserved	reserve	VERB
ejpam-3594	22	9	.	.	PUNCT
ejpam-3594	23	1	y.	y.	PROPN
ejpam-3594	23	2	liu	liu	PROPN
ejpam-3594	23	3	/	/	SYM
ejpam-3594	23	4	eur	eur	PROPN
ejpam-3594	23	5	.	.	PUNCT
ejpam-3594	24	1	j.	j.	PROPN
ejpam-3594	24	2	pure	pure	PROPN
ejpam-3594	24	3	appl	appl	PROPN
ejpam-3594	24	4	.	.	PROPN
ejpam-3594	24	5	math	math	PROPN
ejpam-3594	24	6	,	,	PUNCT
ejpam-3594	24	7	13	13	NUM
ejpam-3594	24	8	(	(	PUNCT
ejpam-3594	24	9	1	1	NUM
ejpam-3594	24	10	)	)	PUNCT
ejpam-3594	24	11	(	(	PUNCT
ejpam-3594	24	12	2020	2020	NUM
ejpam-3594	24	13	)	)	PUNCT
ejpam-3594	24	14	,	,	PUNCT
ejpam-3594	24	15	108	108	NUM
ejpam-3594	24	16	-	-	SYM
ejpam-3594	24	17	112	112	NUM
ejpam-3594	24	18	109	109	NUM
ejpam-3594	24	19	2	2	NUM
ejpam-3594	24	20	.	.	PUNCT
ejpam-3594	24	21	proof	proof	NOUN
ejpam-3594	24	22	of	of	ADP
ejpam-3594	24	23	the	the	DET
ejpam-3594	24	24	golomb	golomb	PROPN
ejpam-3594	24	25	conjecture	conjecture	NOUN
ejpam-3594	24	26	theorem	theorem	VERB
ejpam-3594	24	27	1	1	X
ejpam-3594	24	28	.	.	PUNCT
ejpam-3594	25	1	if	if	SCONJ
ejpam-3594	25	2	$	$	SYM
ejpam-3594	25	3	∑	∑	ADP
ejpam-3594	25	4	n=1	n=1	PROPN
ejpam-3594	25	5	(	(	PUNCT
ejpam-3594	25	6	−1)n+12$−n	−1)n+12$−n	X
ejpam-3594	25	7	=	=	SYM
ejpam-3594	25	8	p	p	X
ejpam-3594	25	9	,	,	PUNCT
ejpam-3594	25	10	(	(	PUNCT
ejpam-3594	25	11	2	2	X
ejpam-3594	25	12	)	)	PUNCT
ejpam-3594	25	13	is	be	AUX
ejpam-3594	25	14	prime	prime	ADJ
ejpam-3594	25	15	,	,	PUNCT
ejpam-3594	25	16	then	then	ADV
ejpam-3594	25	17	$	$	PRON
ejpam-3594	25	18	is	be	AUX
ejpam-3594	25	19	prime	prime	ADJ
ejpam-3594	25	20	.	.	PUNCT
ejpam-3594	26	1	proof	proof	NOUN
ejpam-3594	26	2	.	.	PUNCT
ejpam-3594	27	1	if	if	SCONJ
ejpam-3594	27	2	$	$	SYM
ejpam-3594	27	3	=	=	SYM
ejpam-3594	27	4	1	1	NUM
ejpam-3594	27	5	,	,	PUNCT
ejpam-3594	27	6	then	then	ADV
ejpam-3594	27	7	p	p	NOUN
ejpam-3594	27	8	is	be	AUX
ejpam-3594	27	9	not	not	PART
ejpam-3594	27	10	prime	prime	ADJ
ejpam-3594	27	11	.	.	PUNCT
ejpam-3594	28	1	let	let	VERB
ejpam-3594	28	2	$	$	PRON
ejpam-3594	28	3	be	be	AUX
ejpam-3594	28	4	composite	composite	ADJ
ejpam-3594	28	5	and	and	CCONJ
ejpam-3594	28	6	let	let	VERB
ejpam-3594	28	7	m	m	PRON
ejpam-3594	28	8	be	be	AUX
ejpam-3594	28	9	divisor	divisor	NOUN
ejpam-3594	28	10	.	.	PUNCT
ejpam-3594	29	1	since	since	SCONJ
ejpam-3594	29	2	$	$	SYM
ejpam-3594	29	3	=	=	SYM
ejpam-3594	29	4	km	km	NOUN
ejpam-3594	29	5	satisfies	satisfy	VERB
ejpam-3594	29	6	1	1	NUM
ejpam-3594	29	7	<	<	X
ejpam-3594	29	8	k	k	X
ejpam-3594	29	9	<	<	X
ejpam-3594	29	10	$	$	PROPN
ejpam-3594	29	11	,	,	PUNCT
ejpam-3594	29	12	and	and	CCONJ
ejpam-3594	29	13	that	that	DET
ejpam-3594	29	14	k∑	k∑	VERB
ejpam-3594	29	15	n=1	n=1	PROPN
ejpam-3594	29	16	(	(	PUNCT
ejpam-3594	29	17	−1)n+12k−n	−1)n+12k−n	CCONJ
ejpam-3594	29	18	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3594	29	19	$	$	SYM
ejpam-3594	29	20	∑	∑	PROPN
ejpam-3594	29	21	n=1	n=1	PROPN
ejpam-3594	29	22	(	(	PUNCT
ejpam-3594	29	23	−1)n+12$−n	−1)n+12$−n	PROPN
ejpam-3594	29	24	.	.	PUNCT
ejpam-3594	30	1	(	(	PUNCT
ejpam-3594	30	2	3	3	X
ejpam-3594	30	3	)	)	PUNCT
ejpam-3594	30	4	we	we	PRON
ejpam-3594	30	5	have	have	VERB
ejpam-3594	30	6	1	1	NUM
ejpam-3594	30	7	<	<	X
ejpam-3594	30	8	k∑	k∑	X
ejpam-3594	30	9	n=1	n=1	PROPN
ejpam-3594	30	10	(	(	PUNCT
ejpam-3594	30	11	−1)n+12k−n	−1)n+12k−n	X
ejpam-3594	30	12	<	<	X
ejpam-3594	30	13	$	$	SYM
ejpam-3594	30	14	∑	∑	PROPN
ejpam-3594	30	15	n=1	n=1	PROPN
ejpam-3594	30	16	(	(	PUNCT
ejpam-3594	30	17	−1)n+12$−n	−1)n+12$−n	PROPN
ejpam-3594	30	18	,	,	PUNCT
ejpam-3594	30	19	(	(	PUNCT
ejpam-3594	30	20	4	4	NUM
ejpam-3594	30	21	)	)	PUNCT
ejpam-3594	31	1	and	and	CCONJ
ejpam-3594	31	2	so	so	ADV
ejpam-3594	31	3	p	p	PRON
ejpam-3594	31	4	is	be	AUX
ejpam-3594	31	5	not	not	PART
ejpam-3594	31	6	prime	prime	ADJ
ejpam-3594	31	7	,	,	PUNCT
ejpam-3594	31	8	a	a	DET
ejpam-3594	31	9	contradiction	contradiction	NOUN
ejpam-3594	31	10	.	.	PUNCT
ejpam-3594	32	1	for	for	ADP
ejpam-3594	32	2	our	our	PRON
ejpam-3594	32	3	next	next	ADJ
ejpam-3594	32	4	discussion	discussion	NOUN
ejpam-3594	32	5	,	,	PUNCT
ejpam-3594	32	6	γ$	γ$	ADP
ejpam-3594	32	7	numbers	number	NOUN
ejpam-3594	32	8	are	be	AUX
ejpam-3594	32	9	defined	define	VERB
ejpam-3594	32	10	by	by	ADP
ejpam-3594	32	11	γ$	γ$	NOUN
ejpam-3594	32	12	=	=	PUNCT
ejpam-3594	32	13	$	$	SYM
ejpam-3594	32	14	∑	∑	ADP
ejpam-3594	32	15	n=1	n=1	PROPN
ejpam-3594	32	16	(	(	PUNCT
ejpam-3594	32	17	−1)n+12$−n	−1)n+12$−n	PROPN
ejpam-3594	32	18	,	,	PUNCT
ejpam-3594	32	19	(	(	PUNCT
ejpam-3594	32	20	5	5	NUM
ejpam-3594	32	21	)	)	PUNCT
ejpam-3594	32	22	so	so	SCONJ
ejpam-3594	32	23	that	that	SCONJ
ejpam-3594	32	24			NOUN
ejpam-3594	32	25	γ3	γ3	NOUN
ejpam-3594	32	26	=	=	SYM
ejpam-3594	32	27	3	3	NUM
ejpam-3594	32	28	,	,	PUNCT
ejpam-3594	32	29	γ5	γ5	NOUN
ejpam-3594	32	30	=	=	SYM
ejpam-3594	32	31	11	11	NUM
ejpam-3594	32	32	,	,	PUNCT
ejpam-3594	32	33	γ7	γ7	NOUN
ejpam-3594	32	34	=	=	PROPN
ejpam-3594	32	35	43	43	NUM
ejpam-3594	32	36	,	,	PUNCT
ejpam-3594	32	37	γ11	γ11	NOUN
ejpam-3594	32	38	=	=	SYM
ejpam-3594	32	39	683	683	NUM
ejpam-3594	32	40	,	,	PUNCT
ejpam-3594	32	41	γ13	γ13	NOUN
ejpam-3594	32	42	=	=	SYM
ejpam-3594	32	43	2731	2731	NUM
ejpam-3594	32	44	,	,	PUNCT
ejpam-3594	32	45	γ17	γ17	NOUN
ejpam-3594	32	46	=	=	SYM
ejpam-3594	32	47	43691	43691	NUM
ejpam-3594	32	48	,	,	PUNCT
ejpam-3594	32	49	γ19	γ19	NOUN
ejpam-3594	32	50	=	=	PROPN
ejpam-3594	32	51	174763	174763	NUM
ejpam-3594	32	52	,	,	PUNCT
ejpam-3594	32	53	γ23	γ23	NOUN
ejpam-3594	32	54	=	=	SYM
ejpam-3594	32	55	2796203	2796203	NUM
ejpam-3594	32	56	.	.	PUNCT
ejpam-3594	33	1	(	(	PUNCT
ejpam-3594	33	2	6	6	NUM
ejpam-3594	33	3	)	)	PUNCT
ejpam-3594	33	4	as	as	ADP
ejpam-3594	33	5	an	an	DET
ejpam-3594	33	6	application	application	NOUN
ejpam-3594	33	7	of	of	ADP
ejpam-3594	33	8	the	the	DET
ejpam-3594	33	9	γ$	γ$	NOUN
ejpam-3594	33	10	numbers	number	NOUN
ejpam-3594	33	11	,	,	PUNCT
ejpam-3594	33	12	we	we	PRON
ejpam-3594	33	13	give	give	VERB
ejpam-3594	33	14	the	the	DET
ejpam-3594	33	15	following	follow	VERB
ejpam-3594	33	16	theorem	theorem	VERB
ejpam-3594	33	17	.	.	PUNCT
ejpam-3594	33	18	theorem	theorem	NOUN
ejpam-3594	33	19	2	2	NUM
ejpam-3594	33	20	.	.	NUM
ejpam-3594	33	21	3	3	NUM
ejpam-3594	33	22	is	be	AUX
ejpam-3594	33	23	a	a	DET
ejpam-3594	33	24	primitive	primitive	ADJ
ejpam-3594	33	25	root	root	NOUN
ejpam-3594	33	26	of	of	ADP
ejpam-3594	33	27	γ7	γ7	PROPN
ejpam-3594	33	28	(	(	PUNCT
ejpam-3594	33	29	or	or	CCONJ
ejpam-3594	33	30	γ11	γ11	NUM
ejpam-3594	33	31	)	)	PUNCT
ejpam-3594	33	32	.	.	PUNCT
ejpam-3594	34	1	theorem	theorem	ADJ
ejpam-3594	34	2	3	3	NUM
ejpam-3594	34	3	.	.	PUNCT
ejpam-3594	34	4	golomb	golomb	PROPN
ejpam-3594	34	5	’s	’s	PART
ejpam-3594	34	6	conjecture	conjecture	NOUN
ejpam-3594	34	7	(	(	PUNCT
ejpam-3594	34	8	conjecture	conjecture	NOUN
ejpam-3594	34	9	1	1	NUM
ejpam-3594	34	10	)	)	PUNCT
ejpam-3594	34	11	on	on	ADP
ejpam-3594	34	12	fγ17	fγ17	PROPN
ejpam-3594	34	13	,	,	PUNCT
ejpam-3594	34	14	which	which	PRON
ejpam-3594	34	15	is	be	AUX
ejpam-3594	34	16	true	true	ADJ
ejpam-3594	34	17	.	.	PUNCT
ejpam-3594	35	1	proof	proof	NOUN
ejpam-3594	35	2	.	.	PUNCT
ejpam-3594	36	1	we	we	PRON
ejpam-3594	36	2	can	can	AUX
ejpam-3594	36	3	now	now	ADV
ejpam-3594	36	4	find	find	VERB
ejpam-3594	36	5	tow	tow	NOUN
ejpam-3594	36	6	primitive	primitive	ADJ
ejpam-3594	36	7	roots	root	NOUN
ejpam-3594	36	8	of	of	ADP
ejpam-3594	36	9	f(x	f(x	PROPN
ejpam-3594	36	10	)	)	PUNCT
ejpam-3594	36	11	.	.	PUNCT
ejpam-3594	37	1	by	by	ADP
ejpam-3594	37	2	theorem	theorem	NOUN
ejpam-3594	37	3	1	1	NUM
ejpam-3594	37	4	.	.	PUNCT
ejpam-3594	38	1	since	since	SCONJ
ejpam-3594	38	2	γ17	γ17	PROPN
ejpam-3594	38	3	prime	prime	NOUN
ejpam-3594	38	4	is	be	AUX
ejpam-3594	38	5	43691	43691	NUM
ejpam-3594	38	6	,	,	PUNCT
ejpam-3594	38	7	and	and	CCONJ
ejpam-3594	38	8	we	we	PRON
ejpam-3594	38	9	have	have	VERB
ejpam-3594	38	10	f(α	f(α	NOUN
ejpam-3594	38	11	)	)	PUNCT
ejpam-3594	38	12	=	=	SYM
ejpam-3594	38	13	3$−2	3$−2	NUM
ejpam-3594	38	14	and	and	CCONJ
ejpam-3594	38	15	f(β	f(β	NUM
ejpam-3594	38	16	)	)	PUNCT
ejpam-3594	38	17	=	=	SYM
ejpam-3594	38	18	2	2	NUM
ejpam-3594	38	19	·	·	PUNCT
ejpam-3594	38	20	3$−2	3$−2	NUM
ejpam-3594	38	21	.	.	PUNCT
ejpam-3594	39	1	(	(	PUNCT
ejpam-3594	39	2	7	7	X
ejpam-3594	39	3	)	)	PUNCT
ejpam-3594	39	4	y.	y.	NOUN
ejpam-3594	39	5	liu	liu	PROPN
ejpam-3594	39	6	/	/	SYM
ejpam-3594	39	7	eur	eur	PROPN
ejpam-3594	39	8	.	.	PUNCT
ejpam-3594	40	1	j.	j.	PROPN
ejpam-3594	40	2	pure	pure	PROPN
ejpam-3594	40	3	appl	appl	PROPN
ejpam-3594	40	4	.	.	PROPN
ejpam-3594	40	5	math	math	PROPN
ejpam-3594	40	6	,	,	PUNCT
ejpam-3594	40	7	13	13	NUM
ejpam-3594	40	8	(	(	PUNCT
ejpam-3594	40	9	1	1	NUM
ejpam-3594	40	10	)	)	PUNCT
ejpam-3594	40	11	(	(	PUNCT
ejpam-3594	40	12	2020	2020	NUM
ejpam-3594	40	13	)	)	PUNCT
ejpam-3594	40	14	,	,	PUNCT
ejpam-3594	40	15	108	108	NUM
ejpam-3594	40	16	-	-	SYM
ejpam-3594	40	17	112	112	NUM
ejpam-3594	40	18	110	110	NUM
ejpam-3594	41	1	it	it	PRON
ejpam-3594	41	2	follows	follow	VERB
ejpam-3594	41	3	that	that	SCONJ
ejpam-3594	41	4	f(α	f(α	NOUN
ejpam-3594	41	5	)	)	PUNCT
ejpam-3594	41	6	=	=	SYM
ejpam-3594	41	7	315	315	NUM
ejpam-3594	41	8	(	(	PUNCT
ejpam-3594	41	9	mod	mod	NOUN
ejpam-3594	41	10	43691	43691	NUM
ejpam-3594	41	11	)	)	PUNCT
ejpam-3594	41	12	and	and	CCONJ
ejpam-3594	41	13	f(β	f(β	PROPN
ejpam-3594	41	14	)	)	PUNCT
ejpam-3594	41	15	=	=	SYM
ejpam-3594	41	16	2	2	X
ejpam-3594	41	17	·	·	SYM
ejpam-3594	41	18	315	315	NUM
ejpam-3594	41	19	(	(	PUNCT
ejpam-3594	41	20	mod	mod	NOUN
ejpam-3594	41	21	43691	43691	NUM
ejpam-3594	41	22	)	)	PUNCT
ejpam-3594	41	23	.	.	PUNCT
ejpam-3594	42	1	(	(	PUNCT
ejpam-3594	42	2	8)	8)	NUM
ejpam-3594	42	3	the	the	DET
ejpam-3594	42	4	same	same	ADJ
ejpam-3594	42	5	result	result	NOUN
ejpam-3594	42	6	is	be	AUX
ejpam-3594	42	7	primitive	primitive	ADJ
ejpam-3594	42	8	root	root	NOUN
ejpam-3594	42	9	of	of	ADP
ejpam-3594	42	10	modulus	modulus	NOUN
ejpam-3594	42	11	34961	34961	NUM
ejpam-3594	42	12	.	.	PUNCT
ejpam-3594	43	1	hence	hence	ADV
ejpam-3594	43	2	315	315	NUM
ejpam-3594	43	3	+	+	CCONJ
ejpam-3594	43	4	2	2	NUM
ejpam-3594	43	5	·	·	SYM
ejpam-3594	43	6	315	315	NUM
ejpam-3594	43	7	=	=	SYM
ejpam-3594	43	8	316	316	NUM
ejpam-3594	43	9	≡	≡	PROPN
ejpam-3594	43	10	(	(	PUNCT
ejpam-3594	43	11	−1)16	−1)16	PROPN
ejpam-3594	43	12	≡	≡	PROPN
ejpam-3594	43	13	1	1	NUM
ejpam-3594	43	14	(	(	PUNCT
ejpam-3594	43	15	mod	mod	NOUN
ejpam-3594	43	16	43691	43691	NUM
ejpam-3594	43	17	)	)	PUNCT
ejpam-3594	43	18	,	,	PUNCT
ejpam-3594	43	19	(	(	PUNCT
ejpam-3594	43	20	9	9	X
ejpam-3594	43	21	)	)	PUNCT
ejpam-3594	43	22	as	as	SCONJ
ejpam-3594	43	23	desired	desire	VERB
ejpam-3594	43	24	.	.	PUNCT
ejpam-3594	44	1	theorem	theorem	ADJ
ejpam-3594	44	2	4	4	NUM
ejpam-3594	44	3	.	.	PUNCT
ejpam-3594	44	4	golomb	golomb	PROPN
ejpam-3594	44	5	’s	’s	PART
ejpam-3594	44	6	conjecture	conjecture	NOUN
ejpam-3594	44	7	(	(	PUNCT
ejpam-3594	44	8	conjecture	conjecture	NOUN
ejpam-3594	44	9	1	1	NUM
ejpam-3594	44	10	)	)	PUNCT
ejpam-3594	44	11	on	on	ADP
ejpam-3594	44	12	fγ7	fγ7	PROPN
ejpam-3594	44	13	(	(	PUNCT
ejpam-3594	44	14	or	or	CCONJ
ejpam-3594	44	15	fγ11	fγ11	PROPN
ejpam-3594	44	16	)	)	PUNCT
ejpam-3594	44	17	,	,	PUNCT
ejpam-3594	44	18	which	which	PRON
ejpam-3594	44	19	is	be	AUX
ejpam-3594	44	20	true	true	ADJ
ejpam-3594	44	21	.	.	PUNCT
ejpam-3594	45	1	combining	combine	VERB
ejpam-3594	45	2	the	the	DET
ejpam-3594	45	3	theorem	theorem	ADJ
ejpam-3594	45	4	2.3	2.3	NUM
ejpam-3594	45	5	and	and	CCONJ
ejpam-3594	45	6	theorem	theorem	VERB
ejpam-3594	45	7	2.4	2.4	NUM
ejpam-3594	45	8	,	,	PUNCT
ejpam-3594	45	9	we	we	PRON
ejpam-3594	45	10	obtain	obtain	VERB
ejpam-3594	45	11	the	the	DET
ejpam-3594	45	12	following	follow	VERB
ejpam-3594	45	13	corollary	corollary	NOUN
ejpam-3594	45	14	.	.	PUNCT
ejpam-3594	46	1	corollary	corollary	ADJ
ejpam-3594	46	2	1	1	NUM
ejpam-3594	46	3	.	.	PUNCT
ejpam-3594	47	1	if	if	SCONJ
ejpam-3594	47	2	γ$	γ$	NOUN
ejpam-3594	47	3	is	be	AUX
ejpam-3594	47	4	prime	prime	ADJ
ejpam-3594	47	5	and	and	CCONJ
ejpam-3594	47	6	f(α	f(α	NOUN
ejpam-3594	47	7	)	)	PUNCT
ejpam-3594	47	8	=	=	SYM
ejpam-3594	48	1	3$−2	3$−2	NUM
ejpam-3594	48	2	,	,	PUNCT
ejpam-3594	48	3	f(β	f(β	NOUN
ejpam-3594	48	4	)	)	PUNCT
ejpam-3594	48	5	=	=	SYM
ejpam-3594	48	6	2	2	NUM
ejpam-3594	48	7	·	·	SYM
ejpam-3594	48	8	3$−2	3$−2	NUM
ejpam-3594	48	9	(	(	PUNCT
ejpam-3594	48	10	10	10	NUM
ejpam-3594	48	11	)	)	PUNCT
ejpam-3594	48	12	is	be	AUX
ejpam-3594	48	13	primitive	primitive	ADJ
ejpam-3594	48	14	root	root	NOUN
ejpam-3594	48	15	of	of	ADP
ejpam-3594	48	16	f(x)(mod	f(x)(mod	PROPN
ejpam-3594	48	17	γ$	γ$	NOUN
ejpam-3594	48	18	)	)	PUNCT
ejpam-3594	48	19	,	,	PUNCT
ejpam-3594	48	20	then	then	ADV
ejpam-3594	48	21	f(α	f(α	PROPN
ejpam-3594	48	22	)	)	PUNCT
ejpam-3594	48	23	+	+	CCONJ
ejpam-3594	48	24	f(β	f(β	NOUN
ejpam-3594	48	25	)	)	PUNCT
ejpam-3594	48	26	≡	≡	PROPN
ejpam-3594	48	27	1	1	NUM
ejpam-3594	48	28	(	(	PUNCT
ejpam-3594	48	29	mod	mod	PROPN
ejpam-3594	48	30	γ$	γ$	NOUN
ejpam-3594	48	31	)	)	PUNCT
ejpam-3594	48	32	.	.	PUNCT
ejpam-3594	49	1	(	(	PUNCT
ejpam-3594	49	2	11	11	NUM
ejpam-3594	49	3	)	)	PUNCT
ejpam-3594	49	4	3	3	NUM
ejpam-3594	49	5	.	.	X
ejpam-3594	50	1	γ$-pseudorandom	γ$-pseudorandom	NUM
ejpam-3594	50	2	sequences	sequence	NOUN
ejpam-3594	50	3	definition	definition	NOUN
ejpam-3594	50	4	1	1	X
ejpam-3594	50	5	.	.	PUNCT
ejpam-3594	51	1	let	let	VERB
ejpam-3594	51	2	$	$	PRON
ejpam-3594	51	3	is	be	AUX
ejpam-3594	51	4	prime	prime	ADJ
ejpam-3594	51	5	and	and	CCONJ
ejpam-3594	51	6	let	let	VERB
ejpam-3594	51	7	µ	µ	NOUN
ejpam-3594	51	8	is	be	AUX
ejpam-3594	51	9	primitive	primitive	ADJ
ejpam-3594	51	10	root	root	NOUN
ejpam-3594	51	11	of	of	ADP
ejpam-3594	51	12	modulus	modulus	NOUN
ejpam-3594	51	13	γ$	γ$	ADP
ejpam-3594	51	14	such	such	ADJ
ejpam-3594	51	15	that	that	PRON
ejpam-3594	51	16	eq	eq	NOUN
ejpam-3594	51	17	.	.	PUNCT
ejpam-3594	52	1	(	(	PUNCT
ejpam-3594	52	2	5	5	NUM
ejpam-3594	52	3	)	)	PUNCT
ejpam-3594	52	4	.	.	PUNCT
ejpam-3594	53	1	we	we	PRON
ejpam-3594	53	2	say	say	VERB
ejpam-3594	53	3	that	that	SCONJ
ejpam-3594	53	4	γ$	γ$	NOUN
ejpam-3594	53	5	is	be	AUX
ejpam-3594	53	6	a	a	DET
ejpam-3594	53	7	period	period	NOUN
ejpam-3594	53	8	of	of	ADP
ejpam-3594	53	9	pseudorandom	pseudorandom	NOUN
ejpam-3594	53	10	sequence	sequence	NOUN
ejpam-3594	53	11	if	if	SCONJ
ejpam-3594	53	12	x	x	PRON
ejpam-3594	53	13	=	=	SYM
ejpam-3594	54	1	[	[	X
ejpam-3594	54	2	a0	a0	NOUN
ejpam-3594	54	3	a1	a1	NOUN
ejpam-3594	54	4	a2	a2	PROPN
ejpam-3594	54	5	·	·	PUNCT
ejpam-3594	54	6	·	·	PUNCT
ejpam-3594	54	7	·	·	PUNCT
ejpam-3594	55	1	ap−2	ap−2	ADJ
ejpam-3594	55	2	ap−1	ap−1	PROPN
ejpam-3594	55	3	]	]	X
ejpam-3594	55	4	(	(	PUNCT
ejpam-3594	55	5	ai	ai	INTJ
ejpam-3594	55	6	∈	∈	PROPN
ejpam-3594	55	7	fq	fq	PROPN
ejpam-3594	55	8	)	)	PUNCT
ejpam-3594	55	9	(	(	PUNCT
ejpam-3594	55	10	12	12	NUM
ejpam-3594	55	11	)	)	PUNCT
ejpam-3594	55	12	with	with	ADP
ejpam-3594	55	13	the	the	DET
ejpam-3594	55	14	following	follow	VERB
ejpam-3594	55	15	properties	property	NOUN
ejpam-3594	55	16	:	:	PUNCT
ejpam-3594	55	17	a0	a0	PROPN
ejpam-3594	55	18	=	=	SYM
ejpam-3594	55	19	+1	+1	PROPN
ejpam-3594	55	20	.	.	PUNCT
ejpam-3594	56	1	(	(	PUNCT
ejpam-3594	56	2	13	13	NUM
ejpam-3594	56	3	)	)	PUNCT
ejpam-3594	56	4	ai	ai	VERB
ejpam-3594	56	5	=	=	PUNCT
ejpam-3594	56	6	(	(	PUNCT
ejpam-3594	56	7	−1)t	−1)t	PROPN
ejpam-3594	57	1	=	=	PUNCT
ejpam-3594	57	2	{	{	PUNCT
ejpam-3594	57	3	+1	+1	INTJ
ejpam-3594	57	4	if	if	SCONJ
ejpam-3594	57	5	t	t	PROPN
ejpam-3594	57	6	is	be	AUX
ejpam-3594	57	7	even	even	ADV
ejpam-3594	57	8	−1	−1	ADV
ejpam-3594	57	9	if	if	SCONJ
ejpam-3594	57	10	t	t	PROPN
ejpam-3594	57	11	is	be	AUX
ejpam-3594	57	12	odd	odd	ADJ
ejpam-3594	57	13	,	,	PUNCT
ejpam-3594	57	14	(	(	PUNCT
ejpam-3594	57	15	14	14	NUM
ejpam-3594	57	16	)	)	PUNCT
ejpam-3594	57	17	for	for	ADP
ejpam-3594	57	18	i	i	PRON
ejpam-3594	57	19	≡	≡	PROPN
ejpam-3594	57	20	µt	µt	INTJ
ejpam-3594	57	21	(	(	PUNCT
ejpam-3594	57	22	mod	mod	PROPN
ejpam-3594	57	23	γ$	γ$	NOUN
ejpam-3594	57	24	)	)	PUNCT
ejpam-3594	57	25	,	,	PUNCT
ejpam-3594	57	26	(	(	PUNCT
ejpam-3594	57	27	15	15	NUM
ejpam-3594	57	28	)	)	PUNCT
ejpam-3594	57	29	where	where	SCONJ
ejpam-3594	57	30	1	1	NUM
ejpam-3594	57	31	<	<	X
ejpam-3594	57	32	i	i	X
ejpam-3594	57	33	<	<	X
ejpam-3594	57	34	p−1	p−1	PROPN
ejpam-3594	57	35	.	.	PUNCT
ejpam-3594	58	1	definition	definition	NOUN
ejpam-3594	58	2	2	2	NUM
ejpam-3594	58	3	.	.	PUNCT
ejpam-3594	59	1	let	let	VERB
ejpam-3594	59	2	η	η	PROPN
ejpam-3594	59	3	be	be	AUX
ejpam-3594	59	4	an	an	DET
ejpam-3594	59	5	additive	additive	ADJ
ejpam-3594	59	6	group	group	NOUN
ejpam-3594	59	7	of	of	ADP
ejpam-3594	59	8	f2	f2	PROPN
ejpam-3594	59	9	(	(	PUNCT
ejpam-3594	59	10	for	for	ADP
ejpam-3594	59	11	+1	+1	PROPN
ejpam-3594	59	12	and	and	CCONJ
ejpam-3594	59	13	−1	−1	NOUN
ejpam-3594	59	14	)	)	PUNCT
ejpam-3594	59	15	.	.	PUNCT
ejpam-3594	60	1	then	then	ADV
ejpam-3594	60	2	multiplicative	multiplicative	ADJ
ejpam-3594	60	3	group	group	NOUN
ejpam-3594	60	4	is	be	AUX
ejpam-3594	60	5	isomorphic	isomorphic	ADJ
ejpam-3594	60	6	which	which	PRON
ejpam-3594	60	7	constitutes	constitute	VERB
ejpam-3594	60	8	by	by	ADP
ejpam-3594	60	9	these	these	DET
ejpam-3594	60	10	two	two	NUM
ejpam-3594	60	11	integers	integer	NOUN
ejpam-3594	60	12	,	,	PUNCT
ejpam-3594	60	13	and	and	CCONJ
ejpam-3594	60	14	we	we	PRON
ejpam-3594	60	15	have	have	VERB
ejpam-3594	60	16	η(0	η(0	PROPN
ejpam-3594	60	17	)	)	PUNCT
ejpam-3594	61	1	=	=	SYM
ejpam-3594	61	2	1	1	X
ejpam-3594	61	3	,	,	PUNCT
ejpam-3594	61	4	η(1	η(1	NOUN
ejpam-3594	61	5	)	)	PUNCT
ejpam-3594	61	6	=	=	SYM
ejpam-3594	61	7	−1	−1	NOUN
ejpam-3594	61	8	.	.	PUNCT
ejpam-3594	62	1	(	(	PUNCT
ejpam-3594	62	2	16	16	NUM
ejpam-3594	62	3	)	)	PUNCT
ejpam-3594	62	4	our	our	PRON
ejpam-3594	62	5	new	new	ADJ
ejpam-3594	62	6	result	result	NOUN
ejpam-3594	62	7	is	be	AUX
ejpam-3594	62	8	the	the	DET
ejpam-3594	62	9	following	follow	VERB
ejpam-3594	62	10	theorem	theorem	VERB
ejpam-3594	62	11	.	.	PUNCT
ejpam-3594	63	1	y.	y.	PROPN
ejpam-3594	63	2	liu	liu	PROPN
ejpam-3594	63	3	/	/	SYM
ejpam-3594	63	4	eur	eur	PROPN
ejpam-3594	63	5	.	.	PUNCT
ejpam-3594	64	1	j.	j.	PROPN
ejpam-3594	64	2	pure	pure	PROPN
ejpam-3594	64	3	appl	appl	PROPN
ejpam-3594	64	4	.	.	PROPN
ejpam-3594	64	5	math	math	PROPN
ejpam-3594	64	6	,	,	PUNCT
ejpam-3594	64	7	13	13	NUM
ejpam-3594	64	8	(	(	PUNCT
ejpam-3594	64	9	1	1	NUM
ejpam-3594	64	10	)	)	PUNCT
ejpam-3594	64	11	(	(	PUNCT
ejpam-3594	64	12	2020	2020	NUM
ejpam-3594	64	13	)	)	PUNCT
ejpam-3594	64	14	,	,	PUNCT
ejpam-3594	64	15	108	108	NUM
ejpam-3594	64	16	-	-	SYM
ejpam-3594	64	17	112	112	NUM
ejpam-3594	64	18	111	111	NUM
ejpam-3594	64	19	theorem	theorem	NOUN
ejpam-3594	64	20	5	5	NUM
ejpam-3594	64	21	.	.	PUNCT
ejpam-3594	64	22	suppose	suppose	VERB
ejpam-3594	64	23	that	that	SCONJ
ejpam-3594	64	24	the	the	DET
ejpam-3594	64	25	pseudorandom	pseudorandom	PROPN
ejpam-3594	64	26	periodic	periodic	ADJ
ejpam-3594	64	27	sequence	sequence	NOUN
ejpam-3594	64	28	γ$	γ$	ADP
ejpam-3594	64	29	acts	act	NOUN
ejpam-3594	64	30	transitively	transitively	PROPN
ejpam-3594	64	31	on	on	ADP
ejpam-3594	64	32	the	the	DET
ejpam-3594	64	33	f2	f2	PROPN
ejpam-3594	64	34	.	.	PUNCT
ejpam-3594	65	1	then	then	ADV
ejpam-3594	65	2	cx(j	cx(j	PUNCT
ejpam-3594	65	3	)	)	PUNCT
ejpam-3594	65	4	=	=	X
ejpam-3594	65	5	{	{	PUNCT
ejpam-3594	65	6	γ$	γ$	INTJ
ejpam-3594	66	1	if	if	SCONJ
ejpam-3594	66	2	j	j	PROPN
ejpam-3594	66	3	≡	≡	PROPN
ejpam-3594	66	4	0	0	PUNCT
ejpam-3594	67	1	(	(	PUNCT
ejpam-3594	67	2	mod	mod	PROPN
ejpam-3594	67	3	γ$	γ$	NOUN
ejpam-3594	67	4	)	)	PUNCT
ejpam-3594	67	5	−1	−1	NOUN
ejpam-3594	67	6	if	if	SCONJ
ejpam-3594	67	7	j	j	PROPN
ejpam-3594	67	8	6≡	6≡	NUM
ejpam-3594	67	9	0	0	NUM
ejpam-3594	67	10	(	(	PUNCT
ejpam-3594	67	11	mod	mod	PROPN
ejpam-3594	67	12	γ$	γ$	NOUN
ejpam-3594	67	13	)	)	PUNCT
ejpam-3594	67	14	.	.	PUNCT
ejpam-3594	68	1	(	(	PUNCT
ejpam-3594	68	2	17	17	NUM
ejpam-3594	68	3	)	)	PUNCT
ejpam-3594	68	4	proof	proof	NOUN
ejpam-3594	68	5	.	.	PUNCT
ejpam-3594	69	1	by	by	ADP
ejpam-3594	69	2	definition	definition	NOUN
ejpam-3594	69	3	1	1	NUM
ejpam-3594	69	4	.	.	PUNCT
ejpam-3594	70	1	first	first	ADV
ejpam-3594	70	2	,	,	PUNCT
ejpam-3594	70	3	we	we	PRON
ejpam-3594	70	4	have	have	VERB
ejpam-3594	70	5	cx(0	cx(0	PROPN
ejpam-3594	70	6	)	)	PUNCT
ejpam-3594	70	7	=	=	PUNCT
ejpam-3594	71	1	γ$.	γ$.	NOUN
ejpam-3594	71	2	(	(	PUNCT
ejpam-3594	71	3	18	18	NUM
ejpam-3594	71	4	)	)	PUNCT
ejpam-3594	71	5	let	let	VERB
ejpam-3594	71	6	j	j	NOUN
ejpam-3594	71	7	6≡	6≡	NUM
ejpam-3594	71	8	0	0	NUM
ejpam-3594	72	1	(	(	PUNCT
ejpam-3594	72	2	mod	mod	PROPN
ejpam-3594	72	3	γ$	γ$	NOUN
ejpam-3594	72	4	)	)	PUNCT
ejpam-3594	72	5	.	.	PUNCT
ejpam-3594	73	1	we	we	PRON
ejpam-3594	73	2	define	define	VERB
ejpam-3594	73	3	x	x	PUNCT
ejpam-3594	73	4	by	by	ADP
ejpam-3594	73	5	x	x	X
ejpam-3594	73	6	=	=	SYM
ejpam-3594	73	7	(	(	PUNCT
ejpam-3594	73	8	x0	x0	PROPN
ejpam-3594	73	9	,	,	PUNCT
ejpam-3594	73	10	x1	x1	PROPN
ejpam-3594	73	11	,	,	PUNCT
ejpam-3594	73	12	·	·	PUNCT
ejpam-3594	73	13	·	·	PUNCT
ejpam-3594	73	14	·	·	PUNCT
ejpam-3594	73	15	)	)	PUNCT
ejpam-3594	73	16	.	.	PUNCT
ejpam-3594	74	1	(	(	PUNCT
ejpam-3594	74	2	19	19	NUM
ejpam-3594	74	3	)	)	PUNCT
ejpam-3594	74	4	next	next	ADV
ejpam-3594	74	5	let	let	VERB
ejpam-3594	74	6	f(y	f(y	NOUN
ejpam-3594	74	7	)	)	PUNCT
ejpam-3594	74	8	be	be	AUX
ejpam-3594	74	9	a	a	DET
ejpam-3594	74	10	minimal	minimal	ADJ
ejpam-3594	74	11	polynomial	polynomial	NOUN
ejpam-3594	74	12	of	of	ADP
ejpam-3594	74	13	x	x	PUNCT
ejpam-3594	74	14	with	with	ADP
ejpam-3594	74	15	x∈	x∈	PROPN
ejpam-3594	74	16	g(f	g(f	NOUN
ejpam-3594	74	17	)	)	PUNCT
ejpam-3594	74	18	.	.	PUNCT
ejpam-3594	75	1	now	now	ADV
ejpam-3594	75	2	if	if	SCONJ
ejpam-3594	75	3	f(x	f(x	PROPN
ejpam-3594	75	4	)	)	PUNCT
ejpam-3594	75	5	is	be	AUX
ejpam-3594	75	6	nth	nth	NOUN
ejpam-3594	75	7	order	order	NOUN
ejpam-3594	75	8	primitive	primitive	ADJ
ejpam-3594	75	9	polynomial	polynomial	ADJ
ejpam-3594	75	10	f(y	f(y	NOUN
ejpam-3594	75	11	)	)	PUNCT
ejpam-3594	76	1	=	=	SYM
ejpam-3594	76	2	cny	cny	PROPN
ejpam-3594	76	3	n	n	PROPN
ejpam-3594	76	4	+	+	CCONJ
ejpam-3594	76	5	cn−1y	cn−1y	PROPN
ejpam-3594	76	6	n−1	n−1	PROPN
ejpam-3594	76	7	+	+	CCONJ
ejpam-3594	76	8	·	·	PUNCT
ejpam-3594	76	9	·	·	PUNCT
ejpam-3594	76	10	·	·	PUNCT
ejpam-3594	76	11	+	+	NUM
ejpam-3594	76	12	c1y	c1y	NOUN
ejpam-3594	76	13	+	+	CCONJ
ejpam-3594	76	14	c0	c0	X
ejpam-3594	76	15	(	(	PUNCT
ejpam-3594	76	16	c0cn	c0cn	PUNCT
ejpam-3594	76	17	6=	6=	ADP
ejpam-3594	76	18	0	0	NUM
ejpam-3594	76	19	)	)	PUNCT
ejpam-3594	76	20	.	.	PUNCT
ejpam-3594	77	1	(	(	PUNCT
ejpam-3594	77	2	20	20	NUM
ejpam-3594	77	3	)	)	PUNCT
ejpam-3594	77	4	then	then	ADV
ejpam-3594	77	5	x	x	PRON
ejpam-3594	77	6	satisfies	satisfy	VERB
ejpam-3594	77	7	the	the	DET
ejpam-3594	77	8	homogeneous	homogeneous	ADJ
ejpam-3594	77	9	linear	linear	NOUN
ejpam-3594	77	10	difference	difference	NOUN
ejpam-3594	77	11	equation	equation	NOUN
ejpam-3594	77	12	of	of	ADP
ejpam-3594	77	13	nth	nth	NOUN
ejpam-3594	77	14	order	order	NOUN
ejpam-3594	77	15	n∑	n∑	PROPN
ejpam-3594	77	16	i=0	i=0	PROPN
ejpam-3594	77	17	cixk−i	cixk−i	X
ejpam-3594	77	18	=	=	SYM
ejpam-3594	77	19	0	0	PUNCT
ejpam-3594	78	1	(	(	PUNCT
ejpam-3594	78	2	k	k	X
ejpam-3594	78	3	≥	≥	NOUN
ejpam-3594	78	4	n	n	CCONJ
ejpam-3594	78	5	)	)	PUNCT
ejpam-3594	78	6	.	.	PUNCT
ejpam-3594	79	1	(	(	PUNCT
ejpam-3594	79	2	21	21	NUM
ejpam-3594	79	3	)	)	PUNCT
ejpam-3594	79	4	we	we	PRON
ejpam-3594	79	5	have	have	VERB
ejpam-3594	79	6	c0	c0	NOUN
ejpam-3594	79	7	=	=	SYM
ejpam-3594	79	8	1	1	X
ejpam-3594	79	9	=	=	SYM
ejpam-3594	79	10	cn	cn	PROPN
ejpam-3594	79	11	.	.	PUNCT
ejpam-3594	80	1	(	(	PUNCT
ejpam-3594	80	2	22	22	NUM
ejpam-3594	80	3	)	)	PUNCT
ejpam-3594	80	4	to	to	PART
ejpam-3594	80	5	find	find	VERB
ejpam-3594	80	6	that	that	SCONJ
ejpam-3594	80	7	the	the	DET
ejpam-3594	80	8	linear	linear	ADJ
ejpam-3594	80	9	recursive	recursive	ADJ
ejpam-3594	80	10	relation	relation	NOUN
ejpam-3594	80	11	for	for	ADP
ejpam-3594	80	12	eq.(21	eq.(21	NOUN
ejpam-3594	80	13	)	)	PUNCT
ejpam-3594	80	14	so	so	SCONJ
ejpam-3594	80	15	that	that	SCONJ
ejpam-3594	80	16	x	x	PUNCT
ejpam-3594	80	17	moves	move	NOUN
ejpam-3594	80	18	that	that	PRON
ejpam-3594	80	19	s	s	VERB
ejpam-3594	80	20	steps	step	NOUN
ejpam-3594	80	21	to	to	ADP
ejpam-3594	80	22	the	the	DET
ejpam-3594	80	23	left	left	NOUN
ejpam-3594	80	24	,	,	PUNCT
ejpam-3594	80	25	we	we	PRON
ejpam-3594	80	26	have	have	VERB
ejpam-3594	80	27	t	t	NOUN
ejpam-3594	80	28	s(x	s(x	PROPN
ejpam-3594	80	29	)	)	PUNCT
ejpam-3594	81	1	=	=	PRON
ejpam-3594	81	2	(	(	PUNCT
ejpam-3594	81	3	xs	xs	PROPN
ejpam-3594	81	4	,	,	PUNCT
ejpam-3594	81	5	xs+1	xs+1	PROPN
ejpam-3594	81	6	,	,	PUNCT
ejpam-3594	81	7	xs+2	xs+2	NUM
ejpam-3594	81	8	,	,	PUNCT
ejpam-3594	81	9	·	·	PUNCT
ejpam-3594	81	10	·	·	PUNCT
ejpam-3594	81	11	·	·	PUNCT
ejpam-3594	81	12	)	)	PUNCT
ejpam-3594	82	1	∈	∈	PROPN
ejpam-3594	82	2	g(f	g(f	PROPN
ejpam-3594	82	3	)	)	PUNCT
ejpam-3594	82	4	,	,	PUNCT
ejpam-3594	82	5	(	(	PUNCT
ejpam-3594	82	6	23	23	NUM
ejpam-3594	82	7	)	)	PUNCT
ejpam-3594	82	8	and	and	CCONJ
ejpam-3594	82	9	x	x	X
ejpam-3594	82	10	+	+	NUM
ejpam-3594	82	11	t	t	PROPN
ejpam-3594	82	12	s(x	s(x	PROPN
ejpam-3594	82	13	)	)	PUNCT
ejpam-3594	82	14	=	=	PUNCT
ejpam-3594	83	1	(	(	PUNCT
ejpam-3594	83	2	x0	x0	PROPN
ejpam-3594	83	3	+	+	PROPN
ejpam-3594	83	4	xs	xs	PROPN
ejpam-3594	83	5	,	,	PUNCT
ejpam-3594	83	6	x1	x1	PROPN
ejpam-3594	83	7	+	+	NUM
ejpam-3594	83	8	xs+1	xs+1	PROPN
ejpam-3594	83	9	,	,	PUNCT
ejpam-3594	83	10	x2	x2	PROPN
ejpam-3594	83	11	+	+	NUM
ejpam-3594	83	12	xs+2	xs+2	NUM
ejpam-3594	83	13	,	,	PUNCT
ejpam-3594	83	14	·	·	PUNCT
ejpam-3594	83	15	·	·	PUNCT
ejpam-3594	83	16	·	·	PUNCT
ejpam-3594	83	17	)	)	PUNCT
ejpam-3594	84	1	∈	∈	PROPN
ejpam-3594	84	2	g(f	g(f	PROPN
ejpam-3594	84	3	)	)	PUNCT
ejpam-3594	84	4	.	.	PUNCT
ejpam-3594	85	1	(	(	PUNCT
ejpam-3594	85	2	24	24	NUM
ejpam-3594	85	3	)	)	PUNCT
ejpam-3594	85	4	if	if	SCONJ
ejpam-3594	85	5	s	s	VERB
ejpam-3594	85	6	6≡	6≡	NUM
ejpam-3594	85	7	0	0	NUM
ejpam-3594	86	1	(	(	PUNCT
ejpam-3594	86	2	mod	mod	PROPN
ejpam-3594	86	3	γ$	γ$	NOUN
ejpam-3594	86	4	)	)	PUNCT
ejpam-3594	86	5	,	,	PUNCT
ejpam-3594	86	6	(	(	PUNCT
ejpam-3594	86	7	25	25	NUM
ejpam-3594	86	8	)	)	PUNCT
ejpam-3594	86	9	since	since	SCONJ
ejpam-3594	86	10	period	period	NOUN
ejpam-3594	86	11	x	x	PUNCT
ejpam-3594	86	12	is	be	AUX
ejpam-3594	86	13	γ$	γ$	NOUN
ejpam-3594	86	14	,	,	PUNCT
ejpam-3594	86	15	then	then	ADV
ejpam-3594	86	16	x	x	X
ejpam-3594	87	1	+	+	NUM
ejpam-3594	87	2	t	t	PROPN
ejpam-3594	87	3	s(x	s(x	PROPN
ejpam-3594	87	4	)	)	PUNCT
ejpam-3594	87	5	6=	6=	ADP
ejpam-3594	87	6	0	0	NUM
ejpam-3594	87	7	.	.	PUNCT
ejpam-3594	88	1	(	(	PUNCT
ejpam-3594	88	2	26	26	NUM
ejpam-3594	88	3	)	)	PUNCT
ejpam-3594	88	4	but	but	CCONJ
ejpam-3594	88	5	nonzero	nonzero	PROPN
ejpam-3594	88	6	sequence	sequence	NOUN
ejpam-3594	88	7	is	be	AUX
ejpam-3594	88	8	γ$	γ$	NOUN
ejpam-3594	88	9	in	in	ADP
ejpam-3594	88	10	g(f	g(f	PROPN
ejpam-3594	88	11	)	)	PUNCT
ejpam-3594	88	12	,	,	PUNCT
ejpam-3594	88	13	so	so	ADV
ejpam-3594	88	14	1	1	NUM
ejpam-3594	88	15	there	there	PRON
ejpam-3594	88	16	are	be	VERB
ejpam-3594	88	17	$	$	SYM
ejpam-3594	88	18	∑	∑	ADP
ejpam-3594	88	19	n=1	n=1	PROPN
ejpam-3594	88	20	(	(	PUNCT
ejpam-3594	88	21	−1)n+12$−n−1	−1)n+12$−n−1	PROPN
ejpam-3594	88	22	references	reference	NOUN
ejpam-3594	88	23	112	112	NUM
ejpam-3594	88	24	times	time	NOUN
ejpam-3594	88	25	in	in	ADP
ejpam-3594	88	26	a	a	DET
ejpam-3594	88	27	period	period	NOUN
ejpam-3594	88	28	in	in	ADP
ejpam-3594	88	29	x	x	PROPN
ejpam-3594	88	30	+	+	NUM
ejpam-3594	88	31	t	t	PROPN
ejpam-3594	88	32	s(x	s(x	PROPN
ejpam-3594	88	33	)	)	PUNCT
ejpam-3594	88	34	and	and	CCONJ
ejpam-3594	88	35	0	0	NUM
ejpam-3594	88	36	there	there	PRON
ejpam-3594	88	37	are	be	VERB
ejpam-3594	88	38	$	$	SYM
ejpam-3594	88	39	∑	∑	ADP
ejpam-3594	88	40	n=1	n=1	PROPN
ejpam-3594	88	41	(	(	PUNCT
ejpam-3594	88	42	−1)n+12$−n−1	−1)n+12$−n−1	PROPN
ejpam-3594	88	43	−	−	PROPN
ejpam-3594	88	44	1	1	NUM
ejpam-3594	88	45	times	time	NOUN
ejpam-3594	88	46	in	in	ADP
ejpam-3594	88	47	a	a	DET
ejpam-3594	88	48	period	period	NOUN
ejpam-3594	88	49	in	in	ADP
ejpam-3594	88	50	x	x	PROPN
ejpam-3594	88	51	+	+	NUM
ejpam-3594	88	52	t	t	PROPN
ejpam-3594	88	53	s(x	s(x	PROPN
ejpam-3594	88	54	)	)	PUNCT
ejpam-3594	88	55	.	.	PUNCT
ejpam-3594	89	1	finally	finally	ADV
ejpam-3594	89	2	,	,	PUNCT
ejpam-3594	89	3	by	by	ADP
ejpam-3594	89	4	definition	definition	NOUN
ejpam-3594	89	5	2	2	NUM
ejpam-3594	89	6	,	,	PUNCT
ejpam-3594	89	7	we	we	PRON
ejpam-3594	89	8	have	have	VERB
ejpam-3594	89	9	cx(j	cx(j	NOUN
ejpam-3594	89	10	)	)	PUNCT
ejpam-3594	89	11	=	=	SYM
ejpam-3594	89	12	cx(0)∑	cx(0)∑	NOUN
ejpam-3594	89	13	i=0	i=0	PROPN
ejpam-3594	89	14	η(xi)η(xi+s	η(xi)η(xi+s	X
ejpam-3594	89	15	)	)	PUNCT
ejpam-3594	90	1	=	=	SYM
ejpam-3594	90	2	cx(0)∑	cx(0)∑	NOUN
ejpam-3594	90	3	i=0	i=0	PROPN
ejpam-3594	90	4	η(xi	η(xi	PROPN
ejpam-3594	90	5	+	+	CCONJ
ejpam-3594	90	6	xi+s	xi+s	PROPN
ejpam-3594	90	7	)	)	PUNCT
ejpam-3594	90	8	=	=	PUNCT
ejpam-3594	90	9	$	$	SYM
ejpam-3594	90	10	∑	∑	ADP
ejpam-3594	90	11	n=1	n=1	PROPN
ejpam-3594	90	12	(	(	PUNCT
ejpam-3594	90	13	−1)n+12$−n−1	−1)n+12$−n−1	PROPN
ejpam-3594	90	14	·	·	PUNCT
ejpam-3594	90	15	(	(	PUNCT
ejpam-3594	90	16	−1	−1	NOUN
ejpam-3594	90	17	)	)	PUNCT
ejpam-3594	91	1	+	+	CCONJ
ejpam-3594	91	2	(	(	PUNCT
ejpam-3594	91	3	$	$	SYM
ejpam-3594	91	4	∑	∑	ADP
ejpam-3594	91	5	n=1	n=1	PROPN
ejpam-3594	91	6	(	(	PUNCT
ejpam-3594	91	7	−1)n+12$−n−1	−1)n+12$−n−1	PROPN
ejpam-3594	91	8	−	−	PROPN
ejpam-3594	91	9	1	1	NUM
ejpam-3594	91	10	)	)	PUNCT
ejpam-3594	91	11	·	·	PUNCT
ejpam-3594	91	12	1	1	NUM
ejpam-3594	91	13	=	=	SYM
ejpam-3594	91	14	−1	−1	NOUN
ejpam-3594	91	15	,	,	PUNCT
ejpam-3594	91	16	(	(	PUNCT
ejpam-3594	91	17	27	27	NUM
ejpam-3594	91	18	)	)	PUNCT
ejpam-3594	91	19	as	as	SCONJ
ejpam-3594	91	20	desired	desire	VERB
ejpam-3594	91	21	.	.	PUNCT
ejpam-3594	92	1	references	reference	NOUN
ejpam-3594	92	2	[	[	X
ejpam-3594	92	3	1	1	X
ejpam-3594	92	4	]	]	PUNCT
ejpam-3594	92	5	s.	s.	PROPN
ejpam-3594	92	6	w.	w.	PROPN
ejpam-3594	92	7	golomb	golomb	PROPN
ejpam-3594	92	8	,	,	PUNCT
ejpam-3594	92	9	infinite	infinite	ADJ
ejpam-3594	92	10	sequences	sequence	NOUN
ejpam-3594	92	11	with	with	ADP
ejpam-3594	92	12	finite	finite	PROPN
ejpam-3594	92	13	cross	cross	NOUN
ejpam-3594	92	14	-	-	NOUN
ejpam-3594	92	15	correlation	correlation	NOUN
ejpam-3594	92	16	,	,	PUNCT
ejpam-3594	92	17	in	in	ADP
ejpam-3594	92	18	seta	seta	PROPN
ejpam-3594	92	19	(	(	PUNCT
ejpam-3594	92	20	2010	2010	NUM
ejpam-3594	92	21	)	)	PUNCT
ejpam-3594	92	22	,	,	PUNCT
ejpam-3594	92	23	lncs	lncs	PROPN
ejpam-3594	92	24	,	,	PUNCT
ejpam-3594	92	25	springer	springer	NOUN
ejpam-3594	92	26	,	,	PUNCT
ejpam-3594	92	27	berlin	berlin	PROPN
ejpam-3594	92	28	,	,	PUNCT
ejpam-3594	92	29	6338(2010	6338(2010	NUM
ejpam-3594	92	30	)	)	PUNCT
ejpam-3594	92	31	,	,	PUNCT
ejpam-3594	92	32	430	430	NUM
ejpam-3594	92	33	-	-	SYM
ejpam-3594	92	34	441	441	NUM
ejpam-3594	92	35	.	.	PUNCT
ejpam-3594	93	1	[	[	X
ejpam-3594	93	2	2	2	X
ejpam-3594	93	3	]	]	X
ejpam-3594	93	4	o.	o.	PROPN
ejpam-3594	93	5	moreno	moreno	PROPN
ejpam-3594	93	6	&	&	CCONJ
ejpam-3594	93	7	j.	j.	PROPN
ejpam-3594	93	8	sotero	sotero	PROPN
ejpam-3594	93	9	,	,	PUNCT
ejpam-3594	93	10	computational	computational	ADJ
ejpam-3594	93	11	approach	approach	NOUN
ejpam-3594	93	12	to	to	PART
ejpam-3594	93	13	conjecture	conjecture	VERB
ejpam-3594	93	14	a	a	PRON
ejpam-3594	93	15	of	of	ADP
ejpam-3594	93	16	golomb	golomb	NOUN
ejpam-3594	93	17	,	,	PUNCT
ejpam-3594	93	18	congressus	congressus	PROPN
ejpam-3594	93	19	numerantium	numerantium	PROPN
ejpam-3594	93	20	,	,	PUNCT
ejpam-3594	93	21	70(1990	70(1990	NUM
ejpam-3594	93	22	)	)	PUNCT
ejpam-3594	93	23	,	,	PUNCT
ejpam-3594	93	24	7	7	NUM
ejpam-3594	93	25	-	-	SYM
ejpam-3594	93	26	16	16	NUM
ejpam-3594	93	27	.	.	PUNCT
ejpam-3594	94	1	[	[	X
ejpam-3594	94	2	3	3	X
ejpam-3594	94	3	]	]	PUNCT
ejpam-3594	94	4	s.	s.	PROPN
ejpam-3594	94	5	w.	w.	PROPN
ejpam-3594	94	6	golomb	golomb	PROPN
ejpam-3594	94	7	,	,	PUNCT
ejpam-3594	94	8	“	"	PUNCT
ejpam-3594	94	9	conjectures	conjecture	VERB
ejpam-3594	94	10	involving	involve	VERB
ejpam-3594	94	11	sequences	sequence	NOUN
ejpam-3594	94	12	and	and	CCONJ
ejpam-3594	94	13	prime	prime	ADJ
ejpam-3594	94	14	numbers	number	NOUN
ejpam-3594	94	15	.	.	PUNCT
ejpam-3594	95	1	sequences	sequence	NOUN
ejpam-3594	95	2	and	and	CCONJ
ejpam-3594	95	3	their	their	PRON
ejpam-3594	95	4	applications	application	NOUN
ejpam-3594	95	5	”	"	PUNCT
ejpam-3594	95	6	,	,	PUNCT
ejpam-3594	95	7	in	in	ADP
ejpam-3594	95	8	seta	seta	PROPN
ejpam-3594	95	9	(	(	PUNCT
ejpam-3594	95	10	2014	2014	NUM
ejpam-3594	95	11	)	)	PUNCT
ejpam-3594	95	12	,	,	PUNCT
ejpam-3594	95	13	lncs	lncs	PROPN
ejpam-3594	95	14	,	,	PUNCT
ejpam-3594	95	15	springer	springer	NOUN
ejpam-3594	95	16	,	,	PUNCT
ejpam-3594	95	17	cham	cham	PROPN
ejpam-3594	95	18	,	,	PUNCT
ejpam-3594	95	19	switzerland	switzerland	PROPN
ejpam-3594	95	20	,	,	PUNCT
ejpam-3594	95	21	8865(2014	8865(2014	NUM
ejpam-3594	95	22	)	)	PUNCT
ejpam-3594	95	23	,	,	PUNCT
ejpam-3594	95	24	263	263	NUM
ejpam-3594	95	25	-	-	SYM
ejpam-3594	95	26	266	266	NUM
ejpam-3594	95	27	.	.	PUNCT
ejpam-3594	96	1	[	[	X
ejpam-3594	96	2	4	4	NUM
ejpam-3594	96	3	]	]	X
ejpam-3594	96	4	c.	c.	NOUN
ejpam-3594	96	5	elsholtz	elsholtz	NOUN
ejpam-3594	96	6	,	,	PUNCT
ejpam-3594	96	7	golombs	golomb	NOUN
ejpam-3594	96	8	conjecture	conjecture	NOUN
ejpam-3594	96	9	on	on	ADP
ejpam-3594	96	10	prime	prime	ADJ
ejpam-3594	96	11	gaps	gap	NOUN
ejpam-3594	96	12	,	,	PUNCT
ejpam-3594	96	13	amer	amer	PROPN
ejpam-3594	96	14	.	.	PROPN
ejpam-3594	96	15	math	math	PROPN
ejpam-3594	96	16	.	.	PUNCT
ejpam-3594	97	1	monthly	monthly	ADJ
ejpam-3594	97	2	,	,	PUNCT
ejpam-3594	97	3	124(2017	124(2017	NUM
ejpam-3594	97	4	)	)	PUNCT
ejpam-3594	97	5	,	,	PUNCT
ejpam-3594	97	6	365	365	NUM
ejpam-3594	97	7	-	-	SYM
ejpam-3594	97	8	368	368	NUM
ejpam-3594	97	9	.	.	PUNCT
ejpam-3594	98	1	https//doi:10.4169	https//doi:10.4169	PROPN
ejpam-3594	98	2	/	/	SYM
ejpam-3594	98	3	amer.math.monthly.124.4.365	amer.math.monthly.124.4.365	PROPN