id	sid	eid	entity	type
ejpam-4237	1	1	european journal	ORG
ejpam-4237	2	1	15	CARDINAL
ejpam-4237	2	2	3	CARDINAL
ejpam-4237	2	3	2022	CARDINAL
ejpam-4237	2	4	1113-1119	DATE
ejpam-4237	2	5	1307-5543	DATE
ejpam-4237	3	1	new york	GPE
ejpam-4237	3	2	first	ORDINAL
ejpam-4237	3	3	robert reynolds1,∗	PERSON
ejpam-4237	3	4	allan stauffer1 1	ORG
ejpam-4237	3	5	science, york university	ORG
ejpam-4237	3	6	toronto	GPE
ejpam-4237	3	7	ontario	GPE
ejpam-4237	3	8	canada	GPE
ejpam-4237	3	9	m3j1p3	PERSON
ejpam-4237	7	1	2020	DATE
ejpam-4237	7	2	30e20	CARDINAL
ejpam-4237	7	3	33-01	DATE
ejpam-4237	7	4	33-03	DATE
ejpam-4237	7	5	33-04	CARDINAL
ejpam-4237	7	6	33-33b	DATE
ejpam-4237	7	7	legendre polynomial	PERSON
ejpam-4237	7	8	hurwitz-lerch zeta function	ORG
ejpam-4237	7	9	1	CARDINAL
ejpam-4237	7	10	legendre	PERSON
ejpam-4237	8	1	legendre	PERSON
ejpam-4237	8	2	the 18th century	DATE
ejpam-4237	9	1	3	CARDINAL
ejpam-4237	10	1	the hurwitz-lerch zeta function	ORG
ejpam-4237	11	1	2	CARDINAL
ejpam-4237	11	2	1 0	CARDINAL
ejpam-4237	11	3	1	CARDINAL
ejpam-4237	11	4	1	CARDINAL
ejpam-4237	11	5	1	CARDINAL
ejpam-4237	11	6	xm−1pv(x	GPE
ejpam-4237	11	7	1	CARDINAL
ejpam-4237	11	8	1 2	CARDINAL
ejpam-4237	11	9	1	CARDINAL
ejpam-4237	11	10	m+v 2 (	ORG
ejpam-4237	11	11	1 z	CARDINAL
ejpam-4237	13	1	1 z	CARDINAL
ejpam-4237	13	2	1	CARDINAL
ejpam-4237	13	3	1	CARDINAL
ejpam-4237	15	1	milver@my.yorku.ca	PERSON
ejpam-4237	15	2	r. reynolds	PERSON
ejpam-4237	15	3	a. stauffer	PERSON
ejpam-4237	15	4	1113	DATE
ejpam-4237	16	1	2022	CARDINAL
ejpam-4237	17	1	r. reynolds	PERSON
ejpam-4237	17	2	a. stauffer	PERSON
ejpam-4237	18	1	j. pure	PERSON
ejpam-4237	18	2	15	CARDINAL
ejpam-4237	18	3	3	CARDINAL
ejpam-4237	18	4	2022	CARDINAL
ejpam-4237	18	5	1113-1119 1114	DATE
ejpam-4237	18	6	1/2	CARDINAL
ejpam-4237	20	1	6	CARDINAL
ejpam-4237	21	1	yk γ(k	PERSON
ejpam-4237	21	2	+ 1	DATE
ejpam-4237	21	3	1 2πi	CARDINAL
ejpam-4237	21	4	dw	ORG
ejpam-4237	22	1	2	CARDINAL
ejpam-4237	25	1	2	CARDINAL
ejpam-4237	26	1	3	CARDINAL
ejpam-4237	26	2	6	CARDINAL
ejpam-4237	27	1	first	ORDINAL
ejpam-4237	28	1	first	ORDINAL
ejpam-4237	28	2	zero	CARDINAL
ejpam-4237	29	1	ax √	DATE
ejpam-4237	30	1	1 z	CARDINAL
ejpam-4237	30	2	1	CARDINAL
ejpam-4237	30	3	xm−1pv(x	GPE
ejpam-4237	30	4	1	CARDINAL
ejpam-4237	30	5	1 2	CARDINAL
ejpam-4237	30	6	1	CARDINAL
ejpam-4237	30	7	m+v 2 (	ORG
ejpam-4237	30	8	1 z	CARDINAL
ejpam-4237	31	1	0	CARDINAL
ejpam-4237	31	2	1	CARDINAL
ejpam-4237	31	3	1	CARDINAL
ejpam-4237	31	4	0	CARDINAL
ejpam-4237	31	5	1	CARDINAL
ejpam-4237	31	6	1	CARDINAL
ejpam-4237	31	7	γ(k	PERSON
ejpam-4237	31	8	+ 1	DATE
ejpam-4237	31	9	1	CARDINAL
ejpam-4237	31	10	1	CARDINAL
ejpam-4237	31	11	1	CARDINAL
ejpam-4237	32	1	1	CARDINAL
ejpam-4237	32	2	xm−1pv(x	GPE
ejpam-4237	32	3	1	CARDINAL
ejpam-4237	32	4	1 2	CARDINAL
ejpam-4237	32	5	1	CARDINAL
ejpam-4237	32	6	m+v 2 (	ORG
ejpam-4237	32	7	1 z	CARDINAL
ejpam-4237	34	1	1 z	CARDINAL
ejpam-4237	34	2	1	CARDINAL
ejpam-4237	34	3	1	CARDINAL
ejpam-4237	34	4	2πi	ORDINAL
ejpam-4237	34	5	1	CARDINAL
ejpam-4237	34	6	1	CARDINAL
ejpam-4237	34	7	1	CARDINAL
ejpam-4237	34	8	1	CARDINAL
ejpam-4237	34	9	m+w−1 log−m−w	CARDINAL
ejpam-4237	34	10	1	CARDINAL
ejpam-4237	34	11	1 2	CARDINAL
ejpam-4237	34	12	1	CARDINAL
ejpam-4237	34	13	1 2	CARDINAL
ejpam-4237	34	14	1 z	CARDINAL
ejpam-4237	36	1	1 2πi	CARDINAL
ejpam-4237	36	2	1	CARDINAL
ejpam-4237	36	3	1	CARDINAL
ejpam-4237	36	4	1	CARDINAL
ejpam-4237	36	5	1	CARDINAL
ejpam-4237	36	6	m+w−1 log−m−w	CARDINAL
ejpam-4237	36	7	1	CARDINAL
ejpam-4237	36	8	r. reynolds	PERSON
ejpam-4237	36	9	a. stauffer	PERSON
ejpam-4237	37	1	j. pure	PERSON
ejpam-4237	37	2	15	CARDINAL
ejpam-4237	37	3	3	CARDINAL
ejpam-4237	37	4	2022	CARDINAL
ejpam-4237	37	5	1113-1119 1115	DATE
ejpam-4237	37	6	1 2	CARDINAL
ejpam-4237	37	7	1	CARDINAL
ejpam-4237	37	8	1 2	CARDINAL
ejpam-4237	37	9	1 2πi	CARDINAL
ejpam-4237	38	1	csc(π(m+ w))dw (	ORG
ejpam-4237	38	2	3	CARDINAL
ejpam-4237	38	3	1.8.8.1	ORDINAL
ejpam-4237	38	4	4	CARDINAL
ejpam-4237	38	5	2	CARDINAL
ejpam-4237	38	6	+ w	GPE
ejpam-4237	38	7	0	CARDINAL
ejpam-4237	38	8	8.334.3	ORDINAL
ejpam-4237	38	9	2	CARDINAL
ejpam-4237	40	1	0	CARDINAL
ejpam-4237	40	2	1]×	CARDINAL
ejpam-4237	40	3	0	CARDINAL
ejpam-4237	40	4	1]×	CARDINAL
ejpam-4237	41	1	0	CARDINAL
ejpam-4237	41	2	1]×	CARDINAL
ejpam-4237	42	1	0	CARDINAL
ejpam-4237	42	2	1	CARDINAL
ejpam-4237	43	1	4	CARDINAL
ejpam-4237	43	2	the hurwitz-lerch zeta function	ORG
ejpam-4237	43	3	2	CARDINAL
ejpam-4237	43	4	the hurwitz-lerch zeta function	ORG
ejpam-4237	44	1	4.1	CARDINAL
ejpam-4237	45	1	the hurwitz-lerch zeta function	ORG
ejpam-4237	45	2	the hurwitz-lerch zeta function	ORG
ejpam-4237	45	3	25.14	CARDINAL
ejpam-4237	45	4	1	CARDINAL
ejpam-4237	45	5	φ(z	ORG
ejpam-4237	46	1	n=0	PERSON
ejpam-4237	46	2	+ n)−szn	PERCENT
ejpam-4237	46	3	4	CARDINAL
ejpam-4237	46	4	1	CARDINAL
ejpam-4237	46	5	φ(z	ORG
ejpam-4237	46	6	1 γ(s	CARDINAL
ejpam-4237	49	1	1− ze−t	QUANTITY
ejpam-4237	50	1	1 γ(s	CARDINAL
ejpam-4237	52	1	5	CARDINAL
ejpam-4237	52	2	0	CARDINAL
ejpam-4237	52	3	1	CARDINAL
ejpam-4237	52	4	0	CARDINAL
ejpam-4237	52	5	1	CARDINAL
ejpam-4237	53	1	1	CARDINAL
ejpam-4237	53	2	4.2	CARDINAL
ejpam-4237	53	3	2	CARDINAL
ejpam-4237	53	4	log(a	PERSON
ejpam-4237	55	1	0,∞	DATE
ejpam-4237	55	2	r. reynolds	PERSON
ejpam-4237	55	3	a. stauffer	PERSON
ejpam-4237	56	1	j. pure	PERSON
ejpam-4237	56	2	15	CARDINAL
ejpam-4237	56	3	3	CARDINAL
ejpam-4237	56	4	2022	CARDINAL
ejpam-4237	56	5	1113-1119 1116	DATE
ejpam-4237	56	6	the hurwitz-lerch zeta function	ORG
ejpam-4237	56	7	6	CARDINAL
ejpam-4237	56	8	1	CARDINAL
ejpam-4237	56	9	γ(k	PERSON
ejpam-4237	56	10	+ 1	DATE
ejpam-4237	56	11	3 2 eiπm2k−m+1φ	QUANTITY
ejpam-4237	57	1	log(2	CARDINAL
ejpam-4237	58	1	2π	CARDINAL
ejpam-4237	59	1	1	CARDINAL
ejpam-4237	59	2	2πi	ORDINAL
ejpam-4237	60	1	1 2πi	CARDINAL
ejpam-4237	61	1	1 2πi	CARDINAL
ejpam-4237	61	2	csc(π(m+ w))dw from	ORG
ejpam-4237	61	3	1.232.3	CARDINAL
ejpam-4237	61	4	2	CARDINAL
ejpam-4237	61	5	im(π(m+ w	ORG
ejpam-4237	61	6	0	CARDINAL
ejpam-4237	63	1	5	CARDINAL
ejpam-4237	63	2	1	CARDINAL
ejpam-4237	64	1	∈	ORG
ejpam-4237	64	2	1	CARDINAL
ejpam-4237	64	3	1	CARDINAL
ejpam-4237	64	4	1	CARDINAL
ejpam-4237	64	5	1	CARDINAL
ejpam-4237	64	6	xm−1pv(x	GPE
ejpam-4237	64	7	1	CARDINAL
ejpam-4237	64	8	1 2	CARDINAL
ejpam-4237	64	9	1	CARDINAL
ejpam-4237	64	10	m+v 2 (	ORG
ejpam-4237	64	11	1 z	CARDINAL
ejpam-4237	67	1	1 z	CARDINAL
ejpam-4237	67	2	1	CARDINAL
ejpam-4237	67	3	3 2 eiπm2k−m+1φ	QUANTITY
ejpam-4237	68	1	log(2	CARDINAL
ejpam-4237	69	1	2π	CARDINAL
ejpam-4237	69	2	7	CARDINAL
ejpam-4237	70	1	3	CARDINAL
ejpam-4237	70	2	6	CARDINAL
ejpam-4237	73	1	1	CARDINAL
ejpam-4237	74	1	1 0	CARDINAL
ejpam-4237	74	2	1	CARDINAL
ejpam-4237	74	3	1	CARDINAL
ejpam-4237	74	4	1	CARDINAL
ejpam-4237	74	5	xm−1pv(x	GPE
ejpam-4237	74	6	1	CARDINAL
ejpam-4237	74	7	1 2	CARDINAL
ejpam-4237	74	8	1	CARDINAL
ejpam-4237	74	9	m+v 2 (	ORG
ejpam-4237	75	1	π3/22−m	DATE
ejpam-4237	76	1	7	CARDINAL
ejpam-4237	76	2	2	CARDINAL
ejpam-4237	76	3	64:12:7	CARDINAL
ejpam-4237	76	4	5	CARDINAL
ejpam-4237	77	1	r. reynolds	PERSON
ejpam-4237	77	2	a. stauffer	PERSON
ejpam-4237	78	1	j. pure	PERSON
ejpam-4237	78	2	15	CARDINAL
ejpam-4237	78	3	3	CARDINAL
ejpam-4237	78	4	2022	CARDINAL
ejpam-4237	78	5	1113-1119	DATE
ejpam-4237	78	6	2	CARDINAL
ejpam-4237	79	1	hurwitz zeta	ORG
ejpam-4237	79	2	ζ(k	PERSON
ejpam-4237	79	3	9	CARDINAL
ejpam-4237	79	4	1	CARDINAL
ejpam-4237	79	5	1	CARDINAL
ejpam-4237	79	6	1	CARDINAL
ejpam-4237	79	7	1	CARDINAL
ejpam-4237	79	8	1	CARDINAL
ejpam-4237	79	9	1 2	CARDINAL
ejpam-4237	79	10	1	CARDINAL
ejpam-4237	79	11	1	CARDINAL
ejpam-4237	79	12	1 2	CARDINAL
ejpam-4237	79	13	1 z	CARDINAL
ejpam-4237	81	1	1	CARDINAL
ejpam-4237	83	1	1 z	CARDINAL
ejpam-4237	83	2	1	CARDINAL
ejpam-4237	84	1	1 2πk+	CARDINAL
ejpam-4237	84	2	3 2	CARDINAL
ejpam-4237	84	3	2kζ	ORDINAL
ejpam-4237	85	1	log(2	CARDINAL
ejpam-4237	87	1	2kζ	ORDINAL
ejpam-4237	87	2	1 2	CARDINAL
ejpam-4237	88	1	log(2	CARDINAL
ejpam-4237	89	1	2π	CARDINAL
ejpam-4237	91	1	7	CARDINAL
ejpam-4237	91	2	1/2	CARDINAL
ejpam-4237	91	3	4	CARDINAL
ejpam-4237	91	4	64:12:7	CARDINAL
ejpam-4237	91	5	5	CARDINAL
ejpam-4237	92	1	3	CARDINAL
ejpam-4237	92	2	riemann ζ(k	PERSON
ejpam-4237	92	3	1	CARDINAL
ejpam-4237	92	4	1	CARDINAL
ejpam-4237	92	5	1	CARDINAL
ejpam-4237	92	6	1	CARDINAL
ejpam-4237	92	7	2	CARDINAL
ejpam-4237	92	8	2	CARDINAL
ejpam-4237	93	1	1	CARDINAL
ejpam-4237	93	2	2x	CARDINAL
ejpam-4237	95	1	1 z	CARDINAL
ejpam-4237	95	2	1	CARDINAL
ejpam-4237	96	1	2k+1	CARDINAL
ejpam-4237	96	2	1	CARDINAL
ejpam-4237	96	3	3 2	CARDINAL
ejpam-4237	96	4	10	CARDINAL
ejpam-4237	97	1	9	CARDINAL
ejpam-4237	97	2	2	CARDINAL
ejpam-4237	97	3	64:7	CARDINAL
ejpam-4237	97	4	5	CARDINAL
ejpam-4237	98	1	4	CARDINAL
ejpam-4237	99	1	11	CARDINAL
ejpam-4237	99	2	1	CARDINAL
ejpam-4237	99	3	1	CARDINAL
ejpam-4237	99	4	1	CARDINAL
ejpam-4237	99	5	1	CARDINAL
ejpam-4237	99	6	2	CARDINAL
ejpam-4237	99	7	2	CARDINAL
ejpam-4237	100	1	1	CARDINAL
ejpam-4237	100	2	2x √	QUANTITY
ejpam-4237	102	1	1 z	CARDINAL
ejpam-4237	102	2	1	CARDINAL
ejpam-4237	103	1	2 log(2	CARDINAL
ejpam-4237	104	1	10	CARDINAL
ejpam-4237	104	2	l’hopital	ORG
ejpam-4237	104	3	−1	DATE
ejpam-4237	104	4	25.6.11	CARDINAL
ejpam-4237	104	5	1	CARDINAL
ejpam-4237	105	1	r. reynolds	PERSON
ejpam-4237	105	2	a. stauffer	PERSON
ejpam-4237	106	1	j. pure	PERSON
ejpam-4237	106	2	15	CARDINAL
ejpam-4237	106	3	3	CARDINAL
ejpam-4237	106	4	2022	CARDINAL
ejpam-4237	106	5	1113-1119 1118	DATE
ejpam-4237	106	6	5	CARDINAL
ejpam-4237	106	7	apéry	PERSON
ejpam-4237	106	8	ζ(3	GPE
ejpam-4237	106	9	12	CARDINAL
ejpam-4237	107	1	1	CARDINAL
ejpam-4237	107	2	1	CARDINAL
ejpam-4237	107	3	1	CARDINAL
ejpam-4237	107	4	1	CARDINAL
ejpam-4237	107	5	2	CARDINAL
ejpam-4237	107	6	2	CARDINAL
ejpam-4237	108	1	1	CARDINAL
ejpam-4237	109	1	2x √ log	QUANTITY
ejpam-4237	110	1	1 z	CARDINAL
ejpam-4237	110	2	1	CARDINAL
ejpam-4237	111	1	3iζ(3	CARDINAL
ejpam-4237	111	2	16	CARDINAL
ejpam-4237	113	1	10	CARDINAL
ejpam-4237	113	2	k = −3	PERSON
ejpam-4237	114	1	6	CARDINAL
ejpam-4237	114	2	1	CARDINAL
ejpam-4237	114	3	1	CARDINAL
ejpam-4237	114	4	1	CARDINAL
ejpam-4237	114	5	1	CARDINAL
ejpam-4237	114	6	2	CARDINAL
ejpam-4237	114	7	1 2	CARDINAL
ejpam-4237	114	8	1	CARDINAL
ejpam-4237	114	9	2	CARDINAL
ejpam-4237	117	1	1 z	CARDINAL
ejpam-4237	117	2	1	CARDINAL
ejpam-4237	118	1	xm	ORG
ejpam-4237	118	2	1	CARDINAL
ejpam-4237	118	3	2	CARDINAL
ejpam-4237	118	4	1	CARDINAL
ejpam-4237	118	5	2	CARDINAL
ejpam-4237	121	1	1	CARDINAL
ejpam-4237	121	2	2	CARDINAL
ejpam-4237	121	3	1	CARDINAL
ejpam-4237	121	4	2	CARDINAL
ejpam-4237	123	1	2−peiπpφ	CARDINAL
ejpam-4237	123	2	e2ipπ	ORG
ejpam-4237	123	3	1	DATE
ejpam-4237	123	4	2π	CARDINAL
ejpam-4237	123	5	2−meiπmφ	CARDINAL
ejpam-4237	123	6	1	CARDINAL
ejpam-4237	123	7	2π	CARDINAL
ejpam-4237	123	8	13	CARDINAL
ejpam-4237	124	1	7	CARDINAL
ejpam-4237	124	2	second	ORDINAL
ejpam-4237	124	3	−1	DATE
ejpam-4237	124	4	1	CARDINAL
ejpam-4237	125	1	7	CARDINAL
ejpam-4237	125	2	1	CARDINAL
ejpam-4237	125	3	1	CARDINAL
ejpam-4237	125	4	1	CARDINAL
ejpam-4237	125	5	1	CARDINAL
ejpam-4237	125	6	2	CARDINAL
ejpam-4237	125	7	3 8	DATE
ejpam-4237	125	8	2	CARDINAL
ejpam-4237	125	9	x3/4	CARDINAL
ejpam-4237	126	1	1	CARDINAL
ejpam-4237	128	1	1 z	CARDINAL
ejpam-4237	128	2	1	CARDINAL
ejpam-4237	128	3	4 √ x	QUANTITY
ejpam-4237	128	4	8 √	DATE
ejpam-4237	128	5	1 y	QUANTITY
ejpam-4237	128	6	8 √	QUANTITY
ejpam-4237	128	7	1 z	CARDINAL
ejpam-4237	128	8	4 √	DATE
ejpam-4237	128	9	1	CARDINAL
ejpam-4237	128	10	2	CARDINAL
ejpam-4237	128	11	4 √ −2φ	DATE
ejpam-4237	128	12	1	DATE
ejpam-4237	129	1	2π	CARDINAL
ejpam-4237	130	1	−1	DATE
ejpam-4237	130	2	1	CARDINAL
ejpam-4237	130	3	2π	CARDINAL
ejpam-4237	130	4	14	CARDINAL
ejpam-4237	131	1	13	CARDINAL
ejpam-4237	131	2	1/2,m	CARDINAL
ejpam-4237	131	3	1/4	CARDINAL
ejpam-4237	132	1	1119 6	DATE
ejpam-4237	133	1	mathematica	PERSON
ejpam-4237	133	2	wolfram	PERSON
ejpam-4237	134	1	1	CARDINAL
ejpam-4237	135	1	f. w. j. olver	PERSON
ejpam-4237	135	2	a. b. olde daalhuis	PERSON
ejpam-4237	135	3	d. w. lozier	PERSON
ejpam-4237	135	4	b. i. schneider	PERSON
ejpam-4237	135	5	r. f. boisvert	PERSON
ejpam-4237	135	6	c. w. clark	PERSON
ejpam-4237	135	7	b. r. miller	PERSON
ejpam-4237	136	1	h. s. cohl	PERSON
ejpam-4237	136	2	m. a. mcclain	PERSON
ejpam-4237	137	1	2	CARDINAL
ejpam-4237	137	2	i. s. gradshteyn	PERSON
ejpam-4237	137	3	i. m. ryzhik	PERSON
ejpam-4237	139	1	amsterdam	GPE
ejpam-4237	139	2	seventh	ORDINAL
ejpam-4237	139	3	2007	DATE
ejpam-4237	140	1	3	CARDINAL
ejpam-4237	141	1	legendre	ORG
ejpam-4237	142	1	national technical university of ukraine	ORG
ejpam-4237	142	2	singapore	GPE
ejpam-4237	142	3	2001	DATE
ejpam-4237	143	1	4	CARDINAL
ejpam-4237	143	2	f. oberhettinger	PERSON
ejpam-4237	145	1	springer-verlag	PERSON
ejpam-4237	145	2	berlin	GPE
ejpam-4237	145	3	heidelberg	GPE
ejpam-4237	145	4	1974	DATE
ejpam-4237	146	1	5	CARDINAL
ejpam-4237	146	2	keith b. oldham	PERSON
ejpam-4237	146	3	jan myland	GPE
ejpam-4237	146	4	jerome spanier	PERSON
ejpam-4237	147	1	atlas	PERSON
ejpam-4237	148	1	springer science & business media	ORG
ejpam-4237	148	2	07 2010	DATE
ejpam-4237	149	1	6	CARDINAL
ejpam-4237	149	2	robert reynolds	PERSON
ejpam-4237	149	3	allan stauffer	PERSON
ejpam-4237	151	1	244	CARDINAL
ejpam-4237	151	2	2020	DATE