id	sid	eid	entity	type
ejpam-4017	1	1	european journal	ORG
ejpam-4017	2	1	14	DATE
ejpam-4017	2	2	3	CARDINAL
ejpam-4017	2	3	2021	DATE
ejpam-4017	2	4	980	CARDINAL
ejpam-4017	3	1	new york	GPE
ejpam-4017	3	2	robert reynolds1,∗	PERSON
ejpam-4017	3	3	allan stauffer1 1	ORG
ejpam-4017	3	4	science, york university	ORG
ejpam-4017	3	5	toronto	GPE
ejpam-4017	3	6	ontario	GPE
ejpam-4017	3	7	canada	GPE
ejpam-4017	3	8	1p3	CARDINAL
ejpam-4017	4	1	de haan	PERSON
ejpam-4017	4	2	1867	DATE
ejpam-4017	4	3	2007	DATE
ejpam-4017	7	1	2020	DATE
ejpam-4017	7	2	30e20,33-01	DATE
ejpam-4017	7	3	33-03	DATE
ejpam-4017	7	4	33-04	CARDINAL
ejpam-4017	7	5	33-33b	DATE
ejpam-4017	7	6	33e20,33e33	CARDINAL
ejpam-4017	7	7	de haan	PERSON
ejpam-4017	7	8	1	CARDINAL
ejpam-4017	8	1	de haan	ORG
ejpam-4017	8	2	1867	DATE
ejpam-4017	8	3	2007	DATE
ejpam-4017	9	1	1	CARDINAL
ejpam-4017	11	1	1 	DATE
ejpam-4017	12	1	two	CARDINAL
ejpam-4017	13	1	two	CARDINAL
ejpam-4017	17	1	milver@my.yorku.ca	PERSON
ejpam-4017	17	2	r. reynolds	PERSON
ejpam-4017	17	3	a. stauffer	PERSON
ejpam-4017	18	1	980	CARDINAL
ejpam-4017	18	2	2021	CARDINAL
ejpam-4017	19	1	r. reynolds	PERSON
ejpam-4017	19	2	a. stauffer	PERSON
ejpam-4017	20	1	j. pure	PERSON
ejpam-4017	20	2	14	CARDINAL
ejpam-4017	20	3	3	CARDINAL
ejpam-4017	20	4	2021	CARDINAL
ejpam-4017	20	5	980-988 981	QUANTITY
ejpam-4017	20	6	7	CARDINAL
ejpam-4017	20	7	8	CARDINAL
ejpam-4017	21	1	12	CARDINAL
ejpam-4017	21	2	4	CARDINAL
ejpam-4017	22	1	10	CARDINAL
ejpam-4017	22	2	11	CARDINAL
ejpam-4017	22	3	9	CARDINAL
ejpam-4017	23	1	yk k	PERSON
ejpam-4017	24	1	1 2πi	CARDINAL
ejpam-4017	25	1	2	CARDINAL
ejpam-4017	26	1	11	CARDINAL
ejpam-4017	29	1	2	CARDINAL
ejpam-4017	30	1	11	CARDINAL
ejpam-4017	32	1	second	ORDINAL
ejpam-4017	33	1	second	ORDINAL
ejpam-4017	33	2	zero	CARDINAL
ejpam-4017	34	1	first	ORDINAL
ejpam-4017	34	2	first	ORDINAL
ejpam-4017	34	3	second	ORDINAL
ejpam-4017	35	1	two	CARDINAL
ejpam-4017	35	2	3	CARDINAL
ejpam-4017	35	3	1	CARDINAL
ejpam-4017	39	1	1 	DATE
ejpam-4017	39	2	1 2πi	CARDINAL
ejpam-4017	41	1	1	CARDINAL
ejpam-4017	41	2	1 2πi	CARDINAL
ejpam-4017	42	1	1	CARDINAL
ejpam-4017	43	1	1 2πi	CARDINAL
ejpam-4017	44	1	πaww−k−1 cot(π(m+ w))dw	ORG
ejpam-4017	44	2	3.217	CARDINAL
ejpam-4017	44	3	12	CARDINAL
ejpam-4017	44	4	1	CARDINAL
ejpam-4017	44	5	0	CARDINAL
ejpam-4017	44	6	4.1.2	CARDINAL
ejpam-4017	44	7	1	CARDINAL
ejpam-4017	45	1	r. reynolds	PERSON
ejpam-4017	45	2	a. stauffer	PERSON
ejpam-4017	46	1	j. pure	PERSON
ejpam-4017	46	2	14	CARDINAL
ejpam-4017	46	3	3	CARDINAL
ejpam-4017	46	4	2021	CARDINAL
ejpam-4017	46	5	980	CARDINAL
ejpam-4017	47	1	n=0	PERSON
ejpam-4017	47	2	+ n)−szn	PERCENT
ejpam-4017	47	3	4	CARDINAL
ejpam-4017	47	4	1	CARDINAL
ejpam-4017	47	5	6=	CARDINAL
ejpam-4017	47	6	φ(z	ORG
ejpam-4017	47	7	1 γ(s	CARDINAL
ejpam-4017	50	1	1− ze−t	QUANTITY
ejpam-4017	51	1	1 γ(s	CARDINAL
ejpam-4017	53	1	5	CARDINAL
ejpam-4017	53	2	0	CARDINAL
ejpam-4017	53	3	1	CARDINAL
ejpam-4017	53	4	6= 1	DATE
ejpam-4017	53	5	0	CARDINAL
ejpam-4017	53	6	1	CARDINAL
ejpam-4017	53	7	1	CARDINAL
ejpam-4017	53	8	2	CARDINAL
ejpam-4017	54	1	first	ORDINAL
ejpam-4017	54	2	log(a	PERSON
ejpam-4017	57	1	6)−	CARDINAL
ejpam-4017	57	2	− i log(a	PERSON
ejpam-4017	57	3	2π	CARDINAL
ejpam-4017	58	1	+ 1	DATE
ejpam-4017	60	1	1 2πi	CARDINAL
ejpam-4017	61	1	2iπw−k−1	CARDINAL
ejpam-4017	66	1	0,∞	DATE
ejpam-4017	66	2	7	CARDINAL
ejpam-4017	67	1	2iπ)k+1e2iπmφ	CARDINAL
ejpam-4017	67	2	2π	CARDINAL
ejpam-4017	70	1	1 2πi	CARDINAL
ejpam-4017	70	2	2iπw−k−1	CARDINAL
ejpam-4017	73	1	+ 1	DATE
ejpam-4017	75	1	1 2πi	CARDINAL
ejpam-4017	76	1	2iπw−k−1	CARDINAL
ejpam-4017	79	1	+ 1	DATE
ejpam-4017	80	1	1 2πi	CARDINAL
ejpam-4017	82	1	πaww−k−1	ORG
ejpam-4017	84	1	1.232.1	CARDINAL
ejpam-4017	84	2	12	CARDINAL
ejpam-4017	84	3	+ w	GPE
ejpam-4017	84	4	0	CARDINAL
ejpam-4017	85	1	2	CARDINAL
ejpam-4017	85	2	log(a	PERSON
ejpam-4017	85	3	8)	CARDINAL
ejpam-4017	86	1	1 2πi	CARDINAL
ejpam-4017	86	2	iπaww−k−1dw r. reynolds	ORG
ejpam-4017	86	3	a. stauffer	PERSON
ejpam-4017	87	1	j. pure	PERSON
ejpam-4017	87	2	14	CARDINAL
ejpam-4017	87	3	3	CARDINAL
ejpam-4017	87	4	2021	CARDINAL
ejpam-4017	87	5	980-988 983	QUANTITY
ejpam-4017	87	6	3	CARDINAL
ejpam-4017	88	1	7	CARDINAL
ejpam-4017	88	2	9	CARDINAL
ejpam-4017	90	1	1 	DATE
ejpam-4017	91	1	2π	CARDINAL
ejpam-4017	92	1	9	CARDINAL
ejpam-4017	93	1	3.217	CARDINAL
ejpam-4017	93	2	12	CARDINAL
ejpam-4017	93	3	9	CARDINAL
ejpam-4017	93	4	0	CARDINAL
ejpam-4017	93	5	10	CARDINAL
ejpam-4017	95	1	1 	DATE
ejpam-4017	95	2	2	CARDINAL
ejpam-4017	95	3	64:12:7	CARDINAL
ejpam-4017	95	4	6	CARDINAL
ejpam-4017	96	1	3.217.1	CARDINAL
ejpam-4017	96	2	12	CARDINAL
ejpam-4017	96	3	9	CARDINAL
ejpam-4017	96	4	1	CARDINAL
ejpam-4017	96	5	11	CARDINAL
ejpam-4017	98	1	1 +	CARDINAL
ejpam-4017	98	2		TIME
ejpam-4017	98	3	qx+ 1	LOC
ejpam-4017	99	1	1	CARDINAL
ejpam-4017	99	2	64:12:7	CARDINAL
ejpam-4017	99	3	6	CARDINAL
ejpam-4017	100	1	3.217.2	CARDINAL
ejpam-4017	100	2	12	CARDINAL
ejpam-4017	100	3	9	CARDINAL
ejpam-4017	100	4	2	CARDINAL
ejpam-4017	100	5	1	CARDINAL
ejpam-4017	100	6	1/2	CARDINAL
ejpam-4017	100	7	12	CARDINAL
ejpam-4017	102	1	qx qx+1	PERSON
ejpam-4017	103	1	√ qx+1	PERSON
ejpam-4017	103	2	qx+1	NORP
ejpam-4017	103	3	1	CARDINAL
ejpam-4017	103	4	0	CARDINAL
ejpam-4017	103	5	2	CARDINAL
ejpam-4017	103	6	64:12:7	CARDINAL
ejpam-4017	103	7	6	CARDINAL
ejpam-4017	104	1	r. reynolds	PERSON
ejpam-4017	104	2	a. stauffer	PERSON
ejpam-4017	105	1	j. pure	PERSON
ejpam-4017	105	2	14	CARDINAL
ejpam-4017	105	3	3	CARDINAL
ejpam-4017	105	4	2021	CARDINAL
ejpam-4017	105	5	980	CARDINAL
ejpam-4017	105	6	988 984	CARDINAL
ejpam-4017	105	7	3.217.3	CARDINAL
ejpam-4017	105	8	12	CARDINAL
ejpam-4017	105	9	9	CARDINAL
ejpam-4017	105	10	1	CARDINAL
ejpam-4017	105	11	1	CARDINAL
ejpam-4017	105	12	1/2	CARDINAL
ejpam-4017	105	13	13	CARDINAL
ejpam-4017	107	1	+ 1	DATE
ejpam-4017	107	2	1 x + 1	QUANTITY
ejpam-4017	107	3	1 + − log(x	QUANTITY
ejpam-4017	107	4	1 √ x √	QUANTITY
ejpam-4017	107	5	1 	DATE
ejpam-4017	107	6	3	CARDINAL
ejpam-4017	107	7	64:12:7	CARDINAL
ejpam-4017	107	8	6	CARDINAL
ejpam-4017	108	1	3.217.4	CARDINAL
ejpam-4017	108	2	12	CARDINAL
ejpam-4017	108	3	9	CARDINAL
ejpam-4017	108	4	1/2	CARDINAL
ejpam-4017	108	5	1	CARDINAL
ejpam-4017	108	6	14	CARDINAL
ejpam-4017	110	1	√ bx bx+1 logk	PERSON
ejpam-4017	111	1	1	CARDINAL
ejpam-4017	111	2	 dx	PERSON
ejpam-4017	113	1	1− 2k+1	TIME
ejpam-4017	113	2	2	CARDINAL
ejpam-4017	113	3	64:7	CARDINAL
ejpam-4017	113	4	3	CARDINAL
ejpam-4017	113	5	64:12:7	CARDINAL
ejpam-4017	113	6	6	CARDINAL
ejpam-4017	113	7	3.217.5	CARDINAL
ejpam-4017	113	8	12	CARDINAL
ejpam-4017	113	9	9	CARDINAL
ejpam-4017	113	10	first	ORDINAL
ejpam-4017	113	11	−1	DATE
ejpam-4017	113	12	1/2	CARDINAL
ejpam-4017	113	13	first	ORDINAL
ejpam-4017	113	14	0	CARDINAL
ejpam-4017	114	1	√ bx bx+1 log	PERSON
ejpam-4017	114	2	1 bx+1 − 1	QUANTITY
ejpam-4017	115	1	1	CARDINAL
ejpam-4017	116	1	+ 1	DATE
ejpam-4017	116	2	 dx	PERSON
ejpam-4017	117	1	2iπ	ORDINAL
ejpam-4017	117	2	2γ	CARDINAL
ejpam-4017	117	3	4	MONEY
ejpam-4017	117	4	15	CARDINAL
ejpam-4017	117	5	1.10.10	CARDINAL
ejpam-4017	117	6	25.14.2	DATE
ejpam-4017	117	7	2	CARDINAL
ejpam-4017	117	8	64:13:3	CARDINAL
ejpam-4017	117	9	6	CARDINAL
ejpam-4017	118	1	3.217.6	CARDINAL
ejpam-4017	118	2	12	CARDINAL
ejpam-4017	118	3	9	CARDINAL
ejpam-4017	118	4	1	CARDINAL
ejpam-4017	120	1	1	CARDINAL
ejpam-4017	120	2	1	CARDINAL
ejpam-4017	120	3	1 	DATE
ejpam-4017	120	4	16	CARDINAL
ejpam-4017	120	5	7	CARDINAL
ejpam-4017	121	1	r. reynolds	PERSON
ejpam-4017	121	2	a. stauffer	PERSON
ejpam-4017	122	1	j. pure	PERSON
ejpam-4017	122	2	14	CARDINAL
ejpam-4017	122	3	3	CARDINAL
ejpam-4017	122	4	2021	CARDINAL
ejpam-4017	122	5	980	CARDINAL
ejpam-4017	122	6	3.217.7	CARDINAL
ejpam-4017	122	7	12	CARDINAL
ejpam-4017	122	8	9	CARDINAL
ejpam-4017	122	9	−1	DATE
ejpam-4017	122	10	17	CARDINAL
ejpam-4017	124	1	1	CARDINAL
ejpam-4017	124	2	1	CARDINAL
ejpam-4017	124	3	−e2iπmφ	CARDINAL
ejpam-4017	124	4	1	CARDINAL
ejpam-4017	124	5	1− i log(a	TIME
ejpam-4017	124	6	2π	CARDINAL
ejpam-4017	126	1	2π	CARDINAL
ejpam-4017	126	2	2π	CARDINAL
ejpam-4017	127	1	2f1	CARDINAL
ejpam-4017	127	2	1	CARDINAL
ejpam-4017	127	3	2π	CARDINAL
ejpam-4017	127	4	2−	DATE
ejpam-4017	127	5	2π	CARDINAL
ejpam-4017	128	1	9.559	CARDINAL
ejpam-4017	128	2	12	CARDINAL
ejpam-4017	129	1	3.217.8	CARDINAL
ejpam-4017	129	2	12	CARDINAL
ejpam-4017	129	3	9	CARDINAL
ejpam-4017	129	4	1/2	CARDINAL
ejpam-4017	129	5	k = −2	ORG
ejpam-4017	129	6	1−	TIME
ejpam-4017	129	7	18	CARDINAL
ejpam-4017	131	1	1	CARDINAL
ejpam-4017	131	2	1 x √ 1	QUANTITY
ejpam-4017	131	3	1 ) 	DATE
ejpam-4017	131	4	1	CARDINAL
ejpam-4017	131	5	9.73	CARDINAL
ejpam-4017	131	6	12	CARDINAL
ejpam-4017	132	1	3.217.9	CARDINAL
ejpam-4017	132	2	12	CARDINAL
ejpam-4017	132	3	9	CARDINAL
ejpam-4017	132	4	first	ORDINAL
ejpam-4017	132	5	1/2	CARDINAL
ejpam-4017	132	6	1	CARDINAL
ejpam-4017	132	7	first	ORDINAL
ejpam-4017	132	8	19	CARDINAL
ejpam-4017	134	1	√ bx bx+1 log	PERSON
ejpam-4017	136	1	1	CARDINAL
ejpam-4017	136	2	1	CARDINAL
ejpam-4017	136	3	+ 1	DATE
ejpam-4017	136	4	 dx =	PERSON
ejpam-4017	136	5	−2iπik	ORG
ejpam-4017	136	6	2k+1	CARDINAL
ejpam-4017	136	7	1	CARDINAL
ejpam-4017	136	8	2π)k	CARDINAL
ejpam-4017	137	1	−1	DATE
ejpam-4017	137	2	20	CARDINAL
ejpam-4017	139	1	√ bx bx+1 log	PERSON
ejpam-4017	141	1	1	CARDINAL
ejpam-4017	141	2	+ 1	DATE
ejpam-4017	141	3	1	CARDINAL
ejpam-4017	142	1	1 2 log(2	CARDINAL
ejpam-4017	142	2	8π2	DATE
ejpam-4017	142	3	γ	GPE
ejpam-4017	142	4	euler	PERSON
ejpam-4017	142	5	9.73	CARDINAL
ejpam-4017	142	6	12	CARDINAL
ejpam-4017	143	1	r. reynolds	PERSON
ejpam-4017	143	2	a. stauffer	PERSON
ejpam-4017	144	1	j. pure	PERSON
ejpam-4017	144	2	14	CARDINAL
ejpam-4017	144	3	3	CARDINAL
ejpam-4017	144	4	2021	CARDINAL
ejpam-4017	144	5	980	CARDINAL
ejpam-4017	144	6	3.217.10	DATE
ejpam-4017	144	7	12	CARDINAL
ejpam-4017	144	8	19	CARDINAL
ejpam-4017	144	9	21	CARDINAL
ejpam-4017	146	1	√ bx bx+1 log	PERSON
ejpam-4017	148	1	1	CARDINAL
ejpam-4017	148	2	1	CARDINAL
ejpam-4017	148	3	1 48	CARDINAL
ejpam-4017	148	4	iπ(−24 log(a	PERSON
ejpam-4017	149	1	2γ	CARDINAL
ejpam-4017	149	2	+ log(4	GPE
ejpam-4017	149	3	2.15	CARDINAL
ejpam-4017	149	4	3	CARDINAL
ejpam-4017	150	1	r. reynolds	PERSON
ejpam-4017	150	2	a. stauffer	PERSON
ejpam-4017	151	1	j. pure	PERSON
ejpam-4017	151	2	14	CARDINAL
ejpam-4017	151	3	3	CARDINAL
ejpam-4017	151	4	2021	CARDINAL
ejpam-4017	151	5	980	CARDINAL
ejpam-4017	151	6	12	CARDINAL
ejpam-4017	156	1	qx+1 π	GPE
ejpam-4017	156	2	qx+1 +	DATE
ejpam-4017	156	3	qx qx+1	PERSON
ejpam-4017	157	1	√ qx+1	PERSON
ejpam-4017	157	2	1	CARDINAL
ejpam-4017	157	3	x+1	PERSON
ejpam-4017	158	1	√ bx bx+1 logk	PERSON
ejpam-4017	158	2	bx+1	PERSON
ejpam-4017	158	3	1− 2k+1	TIME
ejpam-4017	158	4	1 bx+1 −1	QUANTITY
ejpam-4017	159	1	1	CARDINAL
ejpam-4017	160	1	2γ	CARDINAL
ejpam-4017	162	1	1	CARDINAL
ejpam-4017	162	2	1	CARDINAL
ejpam-4017	163	1	1	CARDINAL
ejpam-4017	163	2	2π 2f1	CARDINAL
ejpam-4017	163	3	2π	CARDINAL
ejpam-4017	163	4	2−	DATE
ejpam-4017	163	5	2π	CARDINAL
ejpam-4017	163	6	2π−i	CARDINAL
ejpam-4017	164	1	− log(log	PERSON
ejpam-4017	165	1	1	CARDINAL
ejpam-4017	167	1	− log(log	PERSON
ejpam-4017	167	2	1	CARDINAL
ejpam-4017	167	3	1 48	CARDINAL
ejpam-4017	167	4	iπ(−24 log(a	PERSON
ejpam-4017	168	1	2γ	CARDINAL
ejpam-4017	168	2	+ log(4	GPE
ejpam-4017	169	1	perturbative	NORP
ejpam-4017	169	2	5	CARDINAL
ejpam-4017	170	1	4	CARDINAL
ejpam-4017	170	2	12	CARDINAL
ejpam-4017	172	1	988	CARDINAL
ejpam-4017	173	1	mathematica	PERSON
ejpam-4017	173	2	wolfram	PERSON
ejpam-4017	174	1	1	CARDINAL
ejpam-4017	174	2	milton abramowitz	PERSON
ejpam-4017	174	3	irene a. stegun	PERSON
ejpam-4017	175	1	12 1972	DATE
ejpam-4017	176	1	2	CARDINAL
ejpam-4017	177	1	1.1.2	CARDINAL
ejpam-4017	177	2	2021	CARDINAL
ejpam-4017	178	1	f. w. j. olver	PERSON
ejpam-4017	178	2	a. b. olde daalhuis	PERSON
ejpam-4017	178	3	d. w. lozier	PERSON
ejpam-4017	178	4	b. i. schneider	PERSON
ejpam-4017	178	5	r. f. boisvert	PERSON
ejpam-4017	178	6	c. w. clark	PERSON
ejpam-4017	178	7	b. r. miller	PERSON
ejpam-4017	179	1	h. s. cohl	PERSON
ejpam-4017	179	2	m. a. mcclain	PERSON
ejpam-4017	180	1	3	CARDINAL
ejpam-4017	180	2	steven r. finch	PERSON
ejpam-4017	182	1	cambridge university press	ORG
ejpam-4017	182	2	aug. 18 2003	DATE
ejpam-4017	182	3	08 2003	DATE
ejpam-4017	183	1	4	CARDINAL
ejpam-4017	183	2	david bierens de haan	PERSON
ejpam-4017	185	1	engels	CARDINAL
ejpam-4017	185	2	1867	DATE
ejpam-4017	186	1	5	CARDINAL
ejpam-4017	186	2	w	ORG
ejpam-4017	187	1	perturbative	ORG
ejpam-4017	188	1	springer berlin heidelberg	PERSON
ejpam-4017	188	2	1997	DATE
ejpam-4017	189	1	6	CARDINAL
ejpam-4017	189	2	keit oldham	ORG
ejpam-4017	189	3	jan myland	GPE
ejpam-4017	189	4	jerome spanier	PERSON
ejpam-4017	190	1	atlas	PERSON
ejpam-4017	191	1	2009	DATE
ejpam-4017	192	1	7	CARDINAL
ejpam-4017	192	2	harry bateman	PERSON
ejpam-4017	192	3	arthur erdélyi	PERSON
ejpam-4017	192	4	united states	GPE
ejpam-4017	193	1	1	CARDINAL
ejpam-4017	194	1	mcgraw-hill	ORG
ejpam-4017	194	2	1953	DATE
ejpam-4017	195	1	8	CARDINAL
ejpam-4017	195	2	a. b. prudnikov	PERSON
ejpam-4017	197	1	routledge	PERSON
ejpam-4017	197	2	05 2018	DATE
ejpam-4017	198	1	9	CARDINAL
ejpam-4017	198	2	robert reynolds	PERSON
ejpam-4017	198	3	allan stauffer	PERSON
ejpam-4017	200	1	11 2019	CARDINAL
ejpam-4017	201	1	10	CARDINAL
ejpam-4017	201	2	robert reynolds	PERSON
ejpam-4017	201	3	allan stauffer	PERSON
ejpam-4017	203	1	11 2019	CARDINAL
ejpam-4017	204	1	11	CARDINAL
ejpam-4017	204	2	robert reynolds	PERSON
ejpam-4017	204	3	allan stauffer	PERSON
ejpam-4017	206	1	244	CARDINAL
ejpam-4017	206	2	2020	DATE
ejpam-4017	207	1	12	CARDINAL
ejpam-4017	207	2	alan jeffrey	PERSON
ejpam-4017	209	1	08 2000	DATE