id	sid	eid	entity	type
ejpam-2979	1	1	european journal	ORG
ejpam-2979	2	1	10	CARDINAL
ejpam-2979	2	2	3	CARDINAL
ejpam-2979	2	3	2017	DATE
ejpam-2979	2	4	506	CARDINAL
ejpam-2979	2	5	1307-5543	DATE
ejpam-2979	2	6	new york	GPE
ejpam-2979	2	7	1	CARDINAL
ejpam-2979	2	8	kocaeli university	ORG
ejpam-2979	2	9	turkey	GPE
ejpam-2979	3	1	4	CARDINAL
ejpam-2979	4	1	integer k	PERSON
ejpam-2979	5	1	2010	DATE
ejpam-2979	5	2	11b39	CARDINAL
ejpam-2979	5	3	05a10	CARDINAL
ejpam-2979	5	4	05a19	CARDINAL
ejpam-2979	5	5	1	CARDINAL
ejpam-2979	7	1	6	CARDINAL
ejpam-2979	7	2	10	DATE
ejpam-2979	7	3	13	DATE
ejpam-2979	7	4	14	DATE
ejpam-2979	7	5	15	DATE
ejpam-2979	7	6	16	DATE
ejpam-2979	7	7	8	DATE
ejpam-2979	8	1	13	CARDINAL
ejpam-2979	9	1	second	ORDINAL
ejpam-2979	9	2	un	ORG
ejpam-2979	9	3	nonzero	ORG
ejpam-2979	9	4	1	CARDINAL
ejpam-2979	9	5	2	CARDINAL
ejpam-2979	10	1	1	CARDINAL
ejpam-2979	10	2	un	ORG
ejpam-2979	12	1	0	CARDINAL
ejpam-2979	12	2	un	ORG
ejpam-2979	12	3	un	ORG
ejpam-2979	16	1	506	CARDINAL
ejpam-2979	16	2	2017	CARDINAL
ejpam-2979	17	1	n. ömür	PERSON
ejpam-2979	17	2	c. d. şener	PERSON
ejpam-2979	18	1	j. pure	PERSON
ejpam-2979	18	2	10	CARDINAL
ejpam-2979	18	3	3	CARDINAL
ejpam-2979	18	4	2017	CARDINAL
ejpam-2979	18	5	506	CARDINAL
ejpam-2979	18	6	515 507	CARDINAL
ejpam-2979	19	1	7	CARDINAL
ejpam-2979	19	2	e. kılıç	PERSON
ejpam-2979	19	3	p. stanica	PERSON
ejpam-2979	19	4	k ≥ 0	ORG
ejpam-2979	21	1	0	CARDINAL
ejpam-2979	21	2	uk	GPE
ejpam-2979	21	3	2	CARDINAL
ejpam-2979	22	1	βkn	ORG
ejpam-2979	24	1	1	CARDINAL
ejpam-2979	24	2	2	CARDINAL
ejpam-2979	25	1	n ≥ 1	DATE
ejpam-2979	25	2	n∑ k=0	PERSON
ejpam-2979	26	1	n∑ k=0	PERSON
ejpam-2979	27	1	− bk	PERSON
ejpam-2979	28	1	n∑ k=0	PERSON
ejpam-2979	28	2	n k ) ak	ORG
ejpam-2979	28	3	n∑ k=0	PERSON
ejpam-2979	29	1	1	CARDINAL
ejpam-2979	29	2	11	CARDINAL
ejpam-2979	29	3	komatsu	ORG
ejpam-2979	30	1	n∑ k=0	PERSON
ejpam-2979	30	2	2	CARDINAL
ejpam-2979	30	3	bc2 − ac− 1	ORG
ejpam-2979	30	4	rn−2 (n ≥ 2	ORG
ejpam-2979	30	5	n∑ k=0	PERSON
ejpam-2979	30	6	bd2	ORG
ejpam-2979	32	1	n. ömür	PERSON
ejpam-2979	32	2	c. d. şener	PERSON
ejpam-2979	33	1	j. pure	PERSON
ejpam-2979	33	2	10	CARDINAL
ejpam-2979	33	3	3	CARDINAL
ejpam-2979	33	4	2017	CARDINAL
ejpam-2979	33	5	506	CARDINAL
ejpam-2979	33	6	515 508	CARDINAL
ejpam-2979	33	7	4	CARDINAL
ejpam-2979	33	8	2n∑ k=0	QUANTITY
ejpam-2979	33	9	2n k	QUANTITY
ejpam-2979	33	10	2)2n r2n+1	GPE
ejpam-2979	33	11	2n∑ k=0	QUANTITY
ejpam-2979	33	12	2n k	QUANTITY
ejpam-2979	33	13	2n−k	CARDINAL
ejpam-2979	34	1	2	CARDINAL
ejpam-2979	34	2	firstly	ORDINAL
ejpam-2979	35	1	1	CARDINAL
ejpam-2979	35	2	n ≥ 0	ORG
ejpam-2979	37	1	+ 1	DATE
ejpam-2979	37	2	gk = ckuk	PERSON
ejpam-2979	39	1	1	CARDINAL
ejpam-2979	39	2	11	CARDINAL
ejpam-2979	40	1	2	CARDINAL
ejpam-2979	41	1	n∑ i=0	ORG
ejpam-2979	42	1	1−	TIME
ejpam-2979	43	1	+ 1	DATE
ejpam-2979	45	1	0	CARDINAL
ejpam-2979	49	1	2k + g2kz	QUANTITY
ejpam-2979	49	2	gk(n−1)z kn +	PERSON
ejpam-2979	49	3	2k	CARDINAL
ejpam-2979	49	4	3k + g2kz	QUANTITY
ejpam-2979	49	5	1−	MONEY
ejpam-2979	50	1	+ 1	DATE
ejpam-2979	51	1	+ 1	DATE
ejpam-2979	52	1	1	CARDINAL
ejpam-2979	53	1	1	CARDINAL
ejpam-2979	53	2	2	CARDINAL
ejpam-2979	53	3	n. ömür	PERSON
ejpam-2979	53	4	c. d. şener	PERSON
ejpam-2979	54	1	j. pure	PERSON
ejpam-2979	54	2	10	CARDINAL
ejpam-2979	54	3	3	CARDINAL
ejpam-2979	54	4	2017	CARDINAL
ejpam-2979	54	5	506	CARDINAL
ejpam-2979	54	6	3	CARDINAL
ejpam-2979	54	7	n ≥ 0	ORG
ejpam-2979	56	1	+ 1	DATE
ejpam-2979	56	2	2	CARDINAL
ejpam-2979	56	3	2 +	DATE
ejpam-2979	57	1	4	CARDINAL
ejpam-2979	58	1	n∑ i=0	ORG
ejpam-2979	58	2	2	CARDINAL
ejpam-2979	59	1	+ 2 1−	DATE
ejpam-2979	60	1	+ 1	DATE
ejpam-2979	61	1	+ 1	DATE
ejpam-2979	61	2	+ 1	DATE
ejpam-2979	62	1	+ 1	DATE
ejpam-2979	62	2	+ 1	DATE
ejpam-2979	62	3	+ 1	DATE
ejpam-2979	64	1	+ 1	DATE
ejpam-2979	64	2	2	CARDINAL
ejpam-2979	65	1	+ 1	DATE
ejpam-2979	69	1	+ 2	CARDINAL
ejpam-2979	69	2	+ 1	DATE
ejpam-2979	71	1	+ 1	DATE
ejpam-2979	71	2	+ 1	DATE
ejpam-2979	72	1	+ 1	DATE
ejpam-2979	73	1	c. d. şener	PERSON
ejpam-2979	74	1	j. pure	PERSON
ejpam-2979	74	2	10	CARDINAL
ejpam-2979	74	3	3	CARDINAL
ejpam-2979	74	4	2017	CARDINAL
ejpam-2979	74	5	506	CARDINAL
ejpam-2979	74	6	515 510	CARDINAL
ejpam-2979	78	1	1v	CARDINAL
ejpam-2979	78	2	1	CARDINAL
ejpam-2979	79	1	−q)k + ckvk	LOC
ejpam-2979	79	2	+ 1	DATE
ejpam-2979	79	3	gkn gkn −	ORG
ejpam-2979	79	4	−q)k + ckvk	LOC
ejpam-2979	79	5	+ 1	DATE
ejpam-2979	79	6	gk(n−1	GPE
ejpam-2979	80	1	+ 1	DATE
ejpam-2979	82	1	3	CARDINAL
ejpam-2979	83	1	−q)k + ckvk	LOC
ejpam-2979	83	2	+ 1	DATE
ejpam-2979	85	1	1	CARDINAL
ejpam-2979	85	2	2 2n−f2n+1f2n−1	CARDINAL
ejpam-2979	85	3	−1	DATE
ejpam-2979	85	4	74	DATE
ejpam-2979	85	5	12	CARDINAL
ejpam-2979	86	1	−q)k + ckvk	LOC
ejpam-2979	86	2	+ 1	DATE
ejpam-2979	86	3	−q)k + ckvk	LOC
ejpam-2979	86	4	+ 1	DATE
ejpam-2979	86	5	gk(n−1	GPE
ejpam-2979	86	6	−q)k + ckvk	LOC
ejpam-2979	86	7	+ 1	DATE
ejpam-2979	86	8	[ gk g0	PERSON
ejpam-2979	88	1	4	CARDINAL
ejpam-2979	88	2	1	CARDINAL
ejpam-2979	89	1	−q)k + ckvk	LOC
ejpam-2979	89	2	+ 1	DATE
ejpam-2979	89	3	gkn gkn −	ORG
ejpam-2979	89	4	−q)k + ckvk	LOC
ejpam-2979	89	5	+ 1	DATE
ejpam-2979	89	6	gk(n−1	GPE
ejpam-2979	89	7	+ 2 2	QUANTITY
ejpam-2979	90	1	n. ömür	PERSON
ejpam-2979	90	2	c. d. şener	PERSON
ejpam-2979	91	1	j. pure	PERSON
ejpam-2979	91	2	10	CARDINAL
ejpam-2979	91	3	3	CARDINAL
ejpam-2979	91	4	2017	CARDINAL
ejpam-2979	91	5	506	CARDINAL
ejpam-2979	91	6	515 511	CARDINAL
ejpam-2979	91	7	1	CARDINAL
ejpam-2979	92	1	∈ z	ORG
ejpam-2979	94	1	−q)k + ckvk	LOC
ejpam-2979	94	2	+ 1	DATE
ejpam-2979	94	3	gk(n−1)gkm	PERSON
ejpam-2979	95	1	5	CARDINAL
ejpam-2979	96	1	1)−entries	CARDINAL
ejpam-2979	97	1	5	CARDINAL
ejpam-2979	98	1	−q)k + ckvk	LOC
ejpam-2979	98	2	+ 1	DATE
ejpam-2979	98	3	gkngk(n−1	ORG
ejpam-2979	99	1	−q)k + ckvk	LOC
ejpam-2979	99	2	+ 1	DATE
ejpam-2979	99	3	gk(n−1	GPE
ejpam-2979	100	1	2	CARDINAL
ejpam-2979	100	2	+ gk(2n−1	PERSON
ejpam-2979	101	1	−q)k +	LOC
ejpam-2979	102	1	−q)k + ckvk	LOC
ejpam-2979	102	2	+ 1	DATE
ejpam-2979	102	3	− gk(2n−1	PERSON
ejpam-2979	103	1	−q)k +	LOC
ejpam-2979	104	1	−q)k + ckvk	LOC
ejpam-2979	104	2	+ 1	DATE
ejpam-2979	106	1	1	CARDINAL
ejpam-2979	106	2	2	CARDINAL
ejpam-2979	106	3	2)−entries	DATE
ejpam-2979	107	1	−q)k + ckvk	LOC
ejpam-2979	107	2	+ 1	DATE
ejpam-2979	107	3	6	CARDINAL
ejpam-2979	108	1	−q)k + ckvk	LOC
ejpam-2979	108	2	+ 1	DATE
ejpam-2979	109	1	7	CARDINAL
ejpam-2979	109	2	6	CARDINAL
ejpam-2979	109	3	7	CARDINAL
ejpam-2979	110	1	3	CARDINAL
ejpam-2979	110	2	+ 1	DATE
ejpam-2979	114	1	+ 1	DATE
ejpam-2979	114	2	1	CARDINAL
ejpam-2979	114	3	n−t a−(n−t	PERSON
ejpam-2979	115	1	2	CARDINAL
ejpam-2979	115	2	+ 1	DATE
ejpam-2979	116	1	n. ömür	PERSON
ejpam-2979	116	2	c. d. şener	PERSON
ejpam-2979	117	1	j. pure	PERSON
ejpam-2979	117	2	10	CARDINAL
ejpam-2979	117	3	3	CARDINAL
ejpam-2979	117	4	2017	CARDINAL
ejpam-2979	117	5	506	CARDINAL
ejpam-2979	117	6	515 512	CARDINAL
ejpam-2979	117	7	4	CARDINAL
ejpam-2979	117	8	2n∑ i=0	ORG
ejpam-2979	117	9	2n	CARDINAL
ejpam-2979	117	10	+ 1	DATE
ejpam-2979	118	1	2n	CARDINAL
ejpam-2979	118	2	2n∑	CARDINAL
ejpam-2979	118	3	2n	CARDINAL
ejpam-2979	118	4	+ 1	DATE
ejpam-2979	118	5	2n	CARDINAL
ejpam-2979	120	1	2	CARDINAL
ejpam-2979	121	1	2	CARDINAL
ejpam-2979	121	2	+ 1	DATE
ejpam-2979	121	3	2	CARDINAL
ejpam-2979	122	1	9	CARDINAL
ejpam-2979	122	2	caley-hamilton	PERSON
ejpam-2979	122	3	a2	ORG
ejpam-2979	122	4	2	CARDINAL
ejpam-2979	122	5	+ 1	DATE
ejpam-2979	122	6	2	CARDINAL
ejpam-2979	123	1	a2n	PERSON
ejpam-2979	123	2	2n	CARDINAL
ejpam-2979	123	3	+ 1	DATE
ejpam-2979	123	4	2n	CARDINAL
ejpam-2979	124	1	3	CARDINAL
ejpam-2979	124	2	2n∑ i=0	ORG
ejpam-2979	124	3	2n	CARDINAL
ejpam-2979	124	4	+ 1	DATE
ejpam-2979	126	1	2n	CARDINAL
ejpam-2979	126	2	2n	CARDINAL
ejpam-2979	126	3	+ 1	DATE
ejpam-2979	126	4	gk(2i+1	ORG
ejpam-2979	126	5	2n	CARDINAL
ejpam-2979	127	1	5	CARDINAL
ejpam-2979	127	2	2n∑ i=0	ORG
ejpam-2979	127	3	2n	CARDINAL
ejpam-2979	127	4	+ 1	DATE
ejpam-2979	128	1	2n∑	CARDINAL
ejpam-2979	128	2	2n	CARDINAL
ejpam-2979	128	3	+ 1	DATE
ejpam-2979	130	1	4λ	CARDINAL
ejpam-2979	130	2	3	CARDINAL
ejpam-2979	130	3	λc2k	PERSON
ejpam-2979	130	4	2	CARDINAL
ejpam-2979	130	5	2	CARDINAL
ejpam-2979	131	1	10	CARDINAL
ejpam-2979	131	2	10	CARDINAL
ejpam-2979	131	3	1	CARDINAL
ejpam-2979	132	1	n. ömür	PERSON
ejpam-2979	132	2	c. d. şener	PERSON
ejpam-2979	133	1	j. pure	PERSON
ejpam-2979	133	2	10	CARDINAL
ejpam-2979	133	3	3	CARDINAL
ejpam-2979	133	4	2017	CARDINAL
ejpam-2979	133	5	506	CARDINAL
ejpam-2979	133	6	515 513	CARDINAL
ejpam-2979	133	7	6	CARDINAL
ejpam-2979	133	8	2n∑ i=0	ORG
ejpam-2979	133	9	2n	CARDINAL
ejpam-2979	134	1	+ 1	DATE
ejpam-2979	134	2	2n	CARDINAL
ejpam-2979	134	3	2n∑	CARDINAL
ejpam-2979	134	4	2n	CARDINAL
ejpam-2979	135	1	+ 1	DATE
ejpam-2979	135	2	2n	CARDINAL
ejpam-2979	137	1	a−2	PERSON
ejpam-2979	137	2	+ 1	DATE
ejpam-2979	138	1	2	CARDINAL
ejpam-2979	138	2	2	CARDINAL
ejpam-2979	139	1	caley-hamilton	PERSON
ejpam-2979	139	2	a−2	PERSON
ejpam-2979	139	3	a−2	PERSON
ejpam-2979	140	1	+ 1	DATE
ejpam-2979	140	2	2	CARDINAL
ejpam-2979	141	1	2	CARDINAL
ejpam-2979	142	1	a−2	PERSON
ejpam-2979	142	2	+ 1	DATE
ejpam-2979	142	3	2n	CARDINAL
ejpam-2979	143	1	2n	CARDINAL
ejpam-2979	144	1	4	CARDINAL
ejpam-2979	144	2	2n∑ i=0	ORG
ejpam-2979	144	3	2n	CARDINAL
ejpam-2979	145	1	+ 1	DATE
ejpam-2979	146	1	2n	CARDINAL
ejpam-2979	147	1	2n∑	CARDINAL
ejpam-2979	147	2	2n	CARDINAL
ejpam-2979	147	3	+ 1	DATE
ejpam-2979	148	1	2n	CARDINAL
ejpam-2979	151	1	5	CARDINAL
ejpam-2979	151	2	10	CARDINAL
ejpam-2979	151	3	5	CARDINAL
ejpam-2979	152	1	1 2n−1	CARDINAL
ejpam-2979	152	2	n 2i+ 1	ORG
ejpam-2979	152	3	2	CARDINAL
ejpam-2979	152	4	2	CARDINAL
ejpam-2979	153	1	5	CARDINAL
ejpam-2979	153	2	2n−1gkn	CARDINAL
ejpam-2979	154	1	k b(n−1)/2c∑ i=0	ORG
ejpam-2979	154	2	n 2i+ 1	ORG
ejpam-2979	157	1	514	CARDINAL
ejpam-2979	158	1	0	CARDINAL
ejpam-2979	159	1	wd	GPE
ejpam-2979	162	1	11	CARDINAL
ejpam-2979	162	2	11	CARDINAL
ejpam-2979	163	1	7	CARDINAL
ejpam-2979	163	2	0	CARDINAL
ejpam-2979	163	3	 w	FAC
ejpam-2979	163	4	−q)k + ckvk	LOC
ejpam-2979	163	5	+ 1	DATE
ejpam-2979	163	6	+ 1	DATE
ejpam-2979	163	7	+ 1	DATE
ejpam-2979	164	1	1	CARDINAL
ejpam-2979	164	2	h. belbachir	PERSON
ejpam-2979	164	3	t. komatsu	GPE
ejpam-2979	164	4	aip conf	ORG
ejpam-2979	166	1	1264	DATE
ejpam-2979	166	2	2010	DATE
ejpam-2979	167	1	90-99	CARDINAL
ejpam-2979	167	2	fields 2000	DATE
ejpam-2979	167	3	amer	PERSON
ejpam-2979	168	1	melville	PERSON
ejpam-2979	168	2	ny	GPE
ejpam-2979	168	3	2010	DATE
ejpam-2979	169	1	2	CARDINAL
ejpam-2979	169	2	h. belbachir	PERSON
ejpam-2979	169	3	t. komatsu	GPE
ejpam-2979	170	1	64(2	CARDINAL
ejpam-2979	170	2	2014	DATE
ejpam-2979	170	3	287-300	CARDINAL
ejpam-2979	171	1	3	CARDINAL
ejpam-2979	171	2	southeast asian	NORP
ejpam-2979	173	1	23	CARDINAL
ejpam-2979	173	2	1999	DATE
ejpam-2979	173	3	357	CARDINAL
ejpam-2979	174	1	4	CARDINAL
ejpam-2979	174	2	c. k. cook	PERSON
ejpam-2979	174	3	t. komatsu	GPE
ejpam-2979	174	4	quarterly	DATE
ejpam-2979	174	5	2016	CARDINAL
ejpam-2979	174	6	105	CARDINAL
ejpam-2979	175	1	5	CARDINAL
ejpam-2979	176	1	64(1-4	CARDINAL
ejpam-2979	176	2	1995	DATE
ejpam-2979	176	3	155	CARDINAL
ejpam-2979	177	1	6	CARDINAL
ejpam-2979	177	2	jr	PERSON
ejpam-2979	177	3	m. bicknell-johnson	PERSON
ejpam-2979	177	4	18th	ORDINAL
ejpam-2979	178	1	114	CARDINAL
ejpam-2979	178	2	1980	DATE
ejpam-2979	179	1	7	CARDINAL
ejpam-2979	179	2	e. kılıç	PERSON
ejpam-2979	179	3	second	ORDINAL
ejpam-2979	179	4	mexican	NORP
ejpam-2979	179	5	2009	DATE
ejpam-2979	179	6	23	CARDINAL
ejpam-2979	180	1	8	CARDINAL
ejpam-2979	180	2	e. kılıç	PERSON
ejpam-2979	180	3	ulutaş	ORG
ejpam-2979	180	4	second	ORDINAL
ejpam-2979	180	5	93	CARDINAL
ejpam-2979	180	6	2009	DATE
ejpam-2979	180	7	181	CARDINAL
ejpam-2979	181	1	9	CARDINAL
ejpam-2979	181	2	e. kılıç	PERSON
ejpam-2979	181	3	i. akkuş	PERSON
ejpam-2979	181	4	ulutaş	ORG
ejpam-2979	181	5	asian-european journal of mathematics	ORG
ejpam-2979	181	6	2015	CARDINAL
ejpam-2979	181	7	1550047-1-10	DATE
ejpam-2979	182	1	515	CARDINAL
ejpam-2979	182	2	10	CARDINAL
ejpam-2979	182	3	j. mc laughlin	PERSON
ejpam-2979	182	4	2	CARDINAL
ejpam-2979	182	5	4	CARDINAL
ejpam-2979	182	6	15pp	DATE
ejpam-2979	183	1	11	CARDINAL
ejpam-2979	183	2	quarterly	DATE
ejpam-2979	183	3	52(1	DATE
ejpam-2979	183	4	2014	DATE
ejpam-2979	183	5	50-60	CARDINAL
ejpam-2979	184	1	12	CARDINAL
ejpam-2979	184	2	t. koshy	PERSON
ejpam-2979	184	3	wiley	ORG
ejpam-2979	184	4	new york	GPE
ejpam-2979	184	5	2001	DATE
ejpam-2979	185	1	13	CARDINAL
ejpam-2979	185	2	j. mc laughlin	PERSON
ejpam-2979	185	3	2	CARDINAL
ejpam-2979	185	4	4	CARDINAL
ejpam-2979	185	5	15pp	DATE
ejpam-2979	186	1	14	CARDINAL
ejpam-2979	186	2	j. mc laughlin	PERSON
ejpam-2979	186	3	n. j. wyshinski	PERSON
ejpam-2979	186	4	2006	DATE
ejpam-2979	186	5	13011308	DATE
ejpam-2979	187	1	15	CARDINAL
ejpam-2979	187	2	quart.12	DATE
ejpam-2979	187	3	1974	DATE
ejpam-2979	187	4	381	CARDINAL
ejpam-2979	188	1	16	CARDINAL
ejpam-2979	188	2	williams	PERSON
ejpam-2979	189	1	mag	PERSON
ejpam-2979	190	1	65(5	CARDINAL
ejpam-2979	190	2	1992	DATE
ejpam-2979	190	3	336	CARDINAL