id	sid	eid	entity	type
ejpam-4282	1	1	european journal	ORG
ejpam-4282	2	1	15	CARDINAL
ejpam-4282	2	2	3	CARDINAL
ejpam-4282	2	3	2022	CARDINAL
ejpam-4282	2	4	992	CARDINAL
ejpam-4282	2	5	new york	GPE
ejpam-4282	2	6	function su	PERSON
ejpam-4282	2	7	v(z	PERSON
ejpam-4282	2	8	robert reynolds1,∗	PERSON
ejpam-4282	2	9	allan stauffer1 1	ORG
ejpam-4282	2	10	science, york university	ORG
ejpam-4282	2	11	toronto	GPE
ejpam-4282	2	12	ontario	GPE
ejpam-4282	2	13	canada	GPE
ejpam-4282	2	14	m3j1p3	PERSON
ejpam-4282	3	1	three	CARDINAL
ejpam-4282	4	1	su	PERSON
ejpam-4282	4	2	v(z	PERSON
ejpam-4282	4	3	0 ≤	QUANTITY
ejpam-4282	4	4	0 ≤ x ≤	QUANTITY
ejpam-4282	4	5	0 ≤ z ≤	QUANTITY
ejpam-4282	6	1	hurwitz-lerch	ORG
ejpam-4282	6	2	zero	CARDINAL
ejpam-4282	8	1	2020	DATE
ejpam-4282	8	2	30e20	CARDINAL
ejpam-4282	8	3	33-01	DATE
ejpam-4282	8	4	33-03	DATE
ejpam-4282	8	5	33-04	CARDINAL
ejpam-4282	8	6	33-33b	DATE
ejpam-4282	8	7	1	CARDINAL
ejpam-4282	8	8	eugen cornelius joseph von lommel	PERSON
ejpam-4282	8	9	1837-1899	DATE
ejpam-4282	8	10	german	NORP
ejpam-4282	10	1	10.7.10	CARDINAL
ejpam-4282	10	2	10	CARDINAL
ejpam-4282	10	3	10.7.4	CARDINAL
ejpam-4282	10	4	10	CARDINAL
ejpam-4282	11	1	3	CARDINAL
ejpam-4282	12	1	1	CARDINAL
ejpam-4282	14	1	the hurwitz-lerch zeta	ORG
ejpam-4282	14	2	φ(z	ORG
ejpam-4282	17	1	milver@my.yorku.ca	PERSON
ejpam-4282	17	2	r. reynolds	PERSON
ejpam-4282	17	3	a. stauffer	PERSON
ejpam-4282	18	1	992	CARDINAL
ejpam-4282	19	1	2022	CARDINAL
ejpam-4282	20	1	r. reynolds	PERSON
ejpam-4282	20	2	a. stauffer	PERSON
ejpam-4282	21	1	j. pure	PERSON
ejpam-4282	21	2	15	CARDINAL
ejpam-4282	21	3	3	CARDINAL
ejpam-4282	21	4	2022	CARDINAL
ejpam-4282	21	5	992	CARDINAL
ejpam-4282	23	1	u2 + 2u− v2 + 1 1f2	PERSON
ejpam-4282	23	2	1	CARDINAL
ejpam-4282	23	3	2	CARDINAL
ejpam-4282	23	4	2	CARDINAL
ejpam-4282	23	5	2 +	DATE
ejpam-4282	23	6	2	CARDINAL
ejpam-4282	23	7	dxdydz	PERSON
ejpam-4282	23	8	1	CARDINAL
ejpam-4282	23	9	1	CARDINAL
ejpam-4282	23	10	0	CARDINAL
ejpam-4282	24	1	0	CARDINAL
ejpam-4282	26	1	8	CARDINAL
ejpam-4282	27	1	yk γ(k	PERSON
ejpam-4282	27	2	+ 1	DATE
ejpam-4282	27	3	1 2πi	CARDINAL
ejpam-4282	27	4	dw	ORG
ejpam-4282	28	1	2	CARDINAL
ejpam-4282	31	1	2	CARDINAL
ejpam-4282	32	1	3	CARDINAL
ejpam-4282	32	2	8	CARDINAL
ejpam-4282	33	1	first	ORDINAL
ejpam-4282	33	2	second	ORDINAL
ejpam-4282	34	1	first	ORDINAL
ejpam-4282	34	2	second	ORDINAL
ejpam-4282	34	3	zero	CARDINAL
ejpam-4282	35	1	1f2	CARDINAL
ejpam-4282	35	2	1	CARDINAL
ejpam-4282	35	3	u2 −	PERSON
ejpam-4282	35	4	2	CARDINAL
ejpam-4282	35	5	2 +	DATE
ejpam-4282	35	6	2	CARDINAL
ejpam-4282	35	7	1	CARDINAL
ejpam-4282	35	8	u2 + 2u−	QUANTITY
ejpam-4282	37	1	0,∞	TIME
ejpam-4282	38	1	0,∞	DATE
ejpam-4282	39	1	0,∞	DATE
ejpam-4282	39	2	γ(k	PERSON
ejpam-4282	39	3	+ 1	DATE
ejpam-4282	41	1	u2 + 2u−	PERSON
ejpam-4282	41	2	r. reynolds	PERSON
ejpam-4282	41	3	a. stauffer	PERSON
ejpam-4282	42	1	j. pure	PERSON
ejpam-4282	42	2	15	CARDINAL
ejpam-4282	42	3	3	CARDINAL
ejpam-4282	42	4	2022	CARDINAL
ejpam-4282	42	5	992	CARDINAL
ejpam-4282	42	6	1	CARDINAL
ejpam-4282	42	7	2	CARDINAL
ejpam-4282	42	8	2	CARDINAL
ejpam-4282	42	9	2 +	DATE
ejpam-4282	42	10	2	CARDINAL
ejpam-4282	42	11	1 2πi	CARDINAL
ejpam-4282	45	1	1	CARDINAL
ejpam-4282	45	2	2	CARDINAL
ejpam-4282	45	3	2	CARDINAL
ejpam-4282	45	4	2 +	DATE
ejpam-4282	45	5	2	CARDINAL
ejpam-4282	45	6	1 2πi	CARDINAL
ejpam-4282	50	1	u2 + 2u− v2 + 1 1f2	PERSON
ejpam-4282	50	2	1	CARDINAL
ejpam-4282	50	3	2	CARDINAL
ejpam-4282	50	4	2	CARDINAL
ejpam-4282	50	5	2 +	DATE
ejpam-4282	50	6	2	CARDINAL
ejpam-4282	50	7	1 2πi	CARDINAL
ejpam-4282	50	8	1 2	CARDINAL
ejpam-4282	51	1	1 2	CARDINAL
ejpam-4282	51	2	+ 1	DATE
ejpam-4282	51	3	csc	ORG
ejpam-4282	51	4	1 2 π(m+	QUANTITY
ejpam-4282	51	5	1	CARDINAL
ejpam-4282	51	6	3	CARDINAL
ejpam-4282	51	7	3.37.5.1	CARDINAL
ejpam-4282	51	8	1	CARDINAL
ejpam-4282	51	9	3.326.3	ORG
ejpam-4282	51	10	4	CARDINAL
ejpam-4282	51	11	0	CARDINAL
ejpam-4282	51	12	1 2π(m+	CARDINAL
ejpam-4282	51	13	1	CARDINAL
ejpam-4282	52	1	3/2	CARDINAL
ejpam-4282	52	2	8.334.3	ORDINAL
ejpam-4282	52	3	4	CARDINAL
ejpam-4282	53	1	9.112	CARDINAL
ejpam-4282	53	2	5	CARDINAL
ejpam-4282	54	1	0,∞)× [0,∞)×	DATE
ejpam-4282	55	1	4	CARDINAL
ejpam-4282	55	2	the hurwitz-lerch zeta function	ORG
ejpam-4282	55	3	2	CARDINAL
ejpam-4282	55	4	the hurwitz-lerch zeta function	ORG
ejpam-4282	56	1	4.1	CARDINAL
ejpam-4282	57	1	the hurwitz-lerch zeta function	ORG
ejpam-4282	57	2	the hurwitz-lerch zeta function	ORG
ejpam-4282	57	3	25.14	CARDINAL
ejpam-4282	57	4	2	CARDINAL
ejpam-4282	57	5	φ(z	ORG
ejpam-4282	58	1	n=0	PERSON
ejpam-4282	58	2	+ n)−szn	PERCENT
ejpam-4282	58	3	4	CARDINAL
ejpam-4282	58	4	1	CARDINAL
ejpam-4282	58	5	φ(z	ORG
ejpam-4282	58	6	1 γ(s	CARDINAL
ejpam-4282	61	1	1− ze−t	QUANTITY
ejpam-4282	62	1	1 γ(s	CARDINAL
ejpam-4282	64	1	5	CARDINAL
ejpam-4282	64	2	0	CARDINAL
ejpam-4282	64	3	1	CARDINAL
ejpam-4282	64	4	0	CARDINAL
ejpam-4282	64	5	1	CARDINAL
ejpam-4282	65	1	1	CARDINAL
ejpam-4282	65	2	r. reynolds	PERSON
ejpam-4282	65	3	a. stauffer	PERSON
ejpam-4282	66	1	j. pure	PERSON
ejpam-4282	66	2	15	CARDINAL
ejpam-4282	66	3	3	CARDINAL
ejpam-4282	66	4	2022	CARDINAL
ejpam-4282	66	5	992	CARDINAL
ejpam-4282	67	1	2	CARDINAL
ejpam-4282	67	2	log(a)− log(α	PERSON
ejpam-4282	68	1	1 2 iπ(2y+1)(m+u)γ	DATE
ejpam-4282	68	2	1 2	CARDINAL
ejpam-4282	68	3	1 2	CARDINAL
ejpam-4282	68	4	+ 1	DATE
ejpam-4282	70	1	0,∞	DATE
ejpam-4282	70	2	the hurwitz-lerch zeta function	ORG
ejpam-4282	70	3	γ(k	PERSON
ejpam-4282	70	4	+ 1	DATE
ejpam-4282	70	5	1 2	CARDINAL
ejpam-4282	70	6	1 2	CARDINAL
ejpam-4282	71	1	1 2	CARDINAL
ejpam-4282	71	2	+ 1	DATE
ejpam-4282	71	3	φ	PERSON
ejpam-4282	71	4	−eiπ(m+u),−k	NORP
ejpam-4282	71	5	log(2a)− 2i	PERSON
ejpam-4282	71	6	2π	CARDINAL
ejpam-4282	72	1	1	CARDINAL
ejpam-4282	72	2	2πi	ORDINAL
ejpam-4282	72	3	1 2	CARDINAL
ejpam-4282	73	1	1 2	CARDINAL
ejpam-4282	73	2	+ 1	DATE
ejpam-4282	74	1	1 2	CARDINAL
ejpam-4282	74	2	1 2πi	CARDINAL
ejpam-4282	75	1	∞∑ y=0 πaww−k−1bm+w−22m+u+w−3α−m−w γ	WORK_OF_ART
ejpam-4282	75	2	1 2	CARDINAL
ejpam-4282	75	3	1 2	CARDINAL
ejpam-4282	75	4	+ 1	DATE
ejpam-4282	76	1	1 2	CARDINAL
ejpam-4282	76	2	1 2πi	CARDINAL
ejpam-4282	76	3	1 2	CARDINAL
ejpam-4282	77	1	1 2	CARDINAL
ejpam-4282	77	2	+ 1	DATE
ejpam-4282	77	3	sec	ORG
ejpam-4282	77	4	1 2 π(m+	CARDINAL
ejpam-4282	77	5	6	CARDINAL
ejpam-4282	77	6	1.232.2	CARDINAL
ejpam-4282	77	7	4	CARDINAL
ejpam-4282	77	8	1 2π(m+	CARDINAL
ejpam-4282	77	9	0	CARDINAL
ejpam-4282	79	1	5	CARDINAL
ejpam-4282	79	2	the hurwitz-lerch zeta function theorem 1	ORG
ejpam-4282	80	1	1	CARDINAL
ejpam-4282	80	2	0	CARDINAL
ejpam-4282	80	3	0	CARDINAL
ejpam-4282	81	1	r. reynolds	PERSON
ejpam-4282	81	2	a. stauffer	PERSON
ejpam-4282	82	1	j. pure	PERSON
ejpam-4282	82	2	15	CARDINAL
ejpam-4282	82	3	3	CARDINAL
ejpam-4282	82	4	2022	CARDINAL
ejpam-4282	82	5	992	CARDINAL
ejpam-4282	82	6	998 996	CARDINAL
ejpam-4282	84	1	u2 + 2u− v2 + 1 1f2	PERSON
ejpam-4282	84	2	1	CARDINAL
ejpam-4282	84	3	2	CARDINAL
ejpam-4282	84	4	2	CARDINAL
ejpam-4282	84	5	2 +	DATE
ejpam-4282	84	6	2	CARDINAL
ejpam-4282	85	1	1 2	CARDINAL
ejpam-4282	85	2	1 2	CARDINAL
ejpam-4282	86	1	1 2	CARDINAL
ejpam-4282	86	2	+ 1	DATE
ejpam-4282	86	3	φ	PERSON
ejpam-4282	86	4	−eiπ(m+u),−k	NORP
ejpam-4282	86	5	log(2a)− 2i	PERSON
ejpam-4282	86	6	2π	CARDINAL
ejpam-4282	86	7	7	CARDINAL
ejpam-4282	87	1	3	CARDINAL
ejpam-4282	87	2	6	CARDINAL
ejpam-4282	90	1	1	CARDINAL
ejpam-4282	95	1	u2 + 2u− v2 + 1 1f2	PERSON
ejpam-4282	95	2	1	CARDINAL
ejpam-4282	95	3	2	CARDINAL
ejpam-4282	95	4	2	CARDINAL
ejpam-4282	95	5	2 +	DATE
ejpam-4282	95	6	2	CARDINAL
ejpam-4282	95	7	dxdydz	GPE
ejpam-4282	96	1	sec	ORG
ejpam-4282	97	1	1 2	CARDINAL
ejpam-4282	97	2	1 2	CARDINAL
ejpam-4282	97	3	+ 1	DATE
ejpam-4282	99	1	7	CARDINAL
ejpam-4282	99	2	2	CARDINAL
ejpam-4282	99	3	64:12:7	CARDINAL
ejpam-4282	99	4	7	CARDINAL
ejpam-4282	100	1	2	CARDINAL
ejpam-4282	101	1	2yz	ORDINAL
ejpam-4282	101	2	1f2	CARDINAL
ejpam-4282	101	3	1	CARDINAL
ejpam-4282	101	4	2	CARDINAL
ejpam-4282	101	5	2	CARDINAL
ejpam-4282	101	6	2 +	DATE
ejpam-4282	101	7	2	CARDINAL
ejpam-4282	102	1	2m+u−2e−	CARDINAL
ejpam-4282	102	2	1 2 iπ(2m+2u+1	QUANTITY
ejpam-4282	104	1	1 2	CARDINAL
ejpam-4282	104	2	1 2	CARDINAL
ejpam-4282	104	3	+ 1	DATE
ejpam-4282	104	4	9	CARDINAL
ejpam-4282	105	1	7	CARDINAL
ejpam-4282	105	2	−1	DATE
ejpam-4282	105	3	1	CARDINAL
ejpam-4282	105	4	1	CARDINAL
ejpam-4282	105	5	3	CARDINAL
ejpam-4282	105	6	64:12:7	CARDINAL
ejpam-4282	105	7	7	CARDINAL
ejpam-4282	106	1	r. reynolds	PERSON
ejpam-4282	106	2	a. stauffer	PERSON
ejpam-4282	107	1	j. pure	PERSON
ejpam-4282	107	2	15	CARDINAL
ejpam-4282	107	3	3	CARDINAL
ejpam-4282	107	4	2022	CARDINAL
ejpam-4282	107	5	992	CARDINAL
ejpam-4282	107	6	3	CARDINAL
ejpam-4282	109	1	x10/21y17/28z31/28e−y2−z2 1f2 ( 1	DATE
ejpam-4282	109	2	3724	CARDINAL
ejpam-4282	109	3	43 24	DATE
ejpam-4282	109	4	2yz	ORDINAL
ejpam-4282	110	1	42	CARDINAL
ejpam-4282	111	1	37 24	DATE
ejpam-4282	111	2	43 24	DATE
ejpam-4282	111	3	10	CARDINAL
ejpam-4282	112	1	9	CARDINAL
ejpam-4282	112	2	1/3	CARDINAL
ejpam-4282	112	3	1/4,m	CARDINAL
ejpam-4282	112	4	1/7	CARDINAL
ejpam-4282	113	1	4	CARDINAL
ejpam-4282	114	1	lik(z	GPE
ejpam-4282	117	1	2yz	ORDINAL
ejpam-4282	118	1	u2 + 2u− v2 + 1 1f2	PERSON
ejpam-4282	118	2	1	CARDINAL
ejpam-4282	118	3	2	CARDINAL
ejpam-4282	118	4	2	CARDINAL
ejpam-4282	118	5	2 +	DATE
ejpam-4282	118	6	2	CARDINAL
ejpam-4282	118	7	1 2	CARDINAL
ejpam-4282	118	8	1 2	CARDINAL
ejpam-4282	119	1	1 2	CARDINAL
ejpam-4282	119	2	+ 1	DATE
ejpam-4282	119	3	li−k	PERSON
ejpam-4282	120	1	11	CARDINAL
ejpam-4282	121	1	7	CARDINAL
ejpam-4282	121	2	1	CARDINAL
ejpam-4282	121	3	1	CARDINAL
ejpam-4282	121	4	64:12:2	CARDINAL
ejpam-4282	121	5	7	CARDINAL
ejpam-4282	122	1	5	CARDINAL
ejpam-4282	124	1	1f2	CARDINAL
ejpam-4282	124	2	1	CARDINAL
ejpam-4282	124	3	1912	DATE
ejpam-4282	124	4	23 12	CARDINAL
ejpam-4282	124	5	2yz	ORDINAL
ejpam-4282	124	6	77πγ	ORDINAL
ejpam-4282	124	7	7 12	DATE
ejpam-4282	124	8	11 12	CARDINAL
ejpam-4282	124	9	3456	CARDINAL
ejpam-4282	124	10	12	CARDINAL
ejpam-4282	125	1	11	CARDINAL
ejpam-4282	125	2	k = −2	PERSON
ejpam-4282	125	3	1/2	CARDINAL
ejpam-4282	125	4	1/3,m	CARDINAL
ejpam-4282	127	1	6	CARDINAL
ejpam-4282	127	2	catalan	GPE
ejpam-4282	127	3	1f2	DATE
ejpam-4282	127	4	1	CARDINAL
ejpam-4282	127	5	1912	DATE
ejpam-4282	127	6	23 12	CARDINAL
ejpam-4282	127	7	2yz	ORDINAL
ejpam-4282	127	8	77 13824	DATE
ejpam-4282	127	9	+ 48ik	DATE
ejpam-4282	127	10	7 12	DATE
ejpam-4282	127	11	11 12	DATE
ejpam-4282	127	12	13	CARDINAL
ejpam-4282	128	1	11	CARDINAL
ejpam-4282	128	2	k = −2	PERSON
ejpam-4282	128	3	1/2	CARDINAL
ejpam-4282	128	4	1/3,m	CARDINAL
ejpam-4282	128	5	0	CARDINAL
ejpam-4282	128	6	2.2.1.2.7	CARDINAL
ejpam-4282	128	7	6	CARDINAL
ejpam-4282	129	1	998 6	CARDINAL
ejpam-4282	130	1	function su	PERSON
ejpam-4282	130	2	v(z	PERSON
ejpam-4282	131	1	mathematica	PERSON
ejpam-4282	131	2	wolfram	PERSON
ejpam-4282	132	1	1	CARDINAL
ejpam-4282	132	2	a. brychkov	PERSON
ejpam-4282	132	3	o. i. marichev	PERSON
ejpam-4282	132	4	savischenko	PERSON
ejpam-4282	133	1	mellin tranforms	GPE
ejpam-4282	134	1	crc press.	ORG
ejpam-4282	134	2	2019	DATE
ejpam-4282	135	1	2	CARDINAL
ejpam-4282	136	1	f. w. j. olver	PERSON
ejpam-4282	136	2	a. b. olde daalhuis	PERSON
ejpam-4282	136	3	d. w. lozier	PERSON
ejpam-4282	136	4	b. i. schneider	PERSON
ejpam-4282	136	5	r. f. boisvert	PERSON
ejpam-4282	136	6	c. w. clark	PERSON
ejpam-4282	136	7	b. r. miller	PERSON
ejpam-4282	137	1	h. s. cohl	PERSON
ejpam-4282	137	2	m. a. mcclain	PERSON
ejpam-4282	138	1	3	CARDINAL
ejpam-4282	138	2	m. l. glasser	PERSON
ejpam-4282	140	1	j. phys	PERSON
ejpam-4282	141	1	43, 2010	DATE
ejpam-4282	142	1	4	CARDINAL
ejpam-4282	142	2	i. s. gradshteyn	PERSON
ejpam-4282	142	3	i. m. ryzhik	PERSON
ejpam-4282	144	1	amsterdam	GPE
ejpam-4282	144	2	seventh	ORDINAL
ejpam-4282	144	3	2007	DATE
ejpam-4282	145	1	5	CARDINAL
ejpam-4282	145	2	waldron	ORG
ejpam-4282	147	1	taylor & francis, 2011	ORG
ejpam-4282	148	1	6	CARDINAL
ejpam-4282	148	2	leonard lewin	PERSON
ejpam-4282	150	1	north holland	GPE
ejpam-4282	150	2	1981	DATE
ejpam-4282	151	1	7	CARDINAL
ejpam-4282	151	2	keith b. oldham	PERSON
ejpam-4282	151	3	jan myland	GPE
ejpam-4282	151	4	jerome spanier	PERSON
ejpam-4282	152	1	atlas	PERSON
ejpam-4282	153	1	springer science & business media	ORG
ejpam-4282	153	2	07 2010	DATE
ejpam-4282	154	1	8	CARDINAL
ejpam-4282	154	2	robert reynolds	PERSON
ejpam-4282	154	3	allan stauffer	PERSON
ejpam-4282	156	1	244	CARDINAL
ejpam-4282	156	2	2020	DATE
ejpam-4282	157	1	9	CARDINAL
ejpam-4282	157	2	robert reynolds	PERSON
ejpam-4282	157	3	allan stauffer	PERSON
ejpam-4282	159	1	10	CARDINAL
ejpam-4282	159	2	2021	DATE
ejpam-4282	160	1	10	CARDINAL
ejpam-4282	160	2	g.n. watson	PERSON
ejpam-4282	162	1	cambridge university press	ORG
ejpam-4282	162	2	1944	DATE