id	sid	eid	entity	type
ejpam-4181	1	1	european journal	ORG
ejpam-4181	2	1	15	CARDINAL
ejpam-4181	2	2	1	CARDINAL
ejpam-4181	2	3	2022	CARDINAL
ejpam-4181	2	4	30	CARDINAL
ejpam-4181	2	5	new york	GPE
ejpam-4181	2	6	robert reynolds1,∗	PERSON
ejpam-4181	2	7	allan stauffer1 1	ORG
ejpam-4181	2	8	science, york university	ORG
ejpam-4181	2	9	toronto	GPE
ejpam-4181	2	10	ontario	GPE
ejpam-4181	2	11	canada	GPE
ejpam-4181	2	12	m3j1p3	PERSON
ejpam-4181	3	1	the hurwitz-lerch zeta function	ORG
ejpam-4181	5	1	hurwitz-lerch	ORG
ejpam-4181	5	2	zero	CARDINAL
ejpam-4181	7	1	2020	DATE
ejpam-4181	7	2	30e20	CARDINAL
ejpam-4181	7	3	33-01	DATE
ejpam-4181	7	4	33-03	DATE
ejpam-4181	7	5	33-04	CARDINAL
ejpam-4181	7	6	33-33b	DATE
ejpam-4181	7	7	hurwitz-lerch zeta function	ORG
ejpam-4181	7	8	1	CARDINAL
ejpam-4181	8	1	1	CARDINAL
ejpam-4181	9	1	the hurwitz-lerch zeta function	ORG
ejpam-4181	11	1	2	CARDINAL
ejpam-4181	11	2	by∫ ∞ 0	ORG
ejpam-4181	16	1	1	CARDINAL
ejpam-4181	16	2	1.2.1	CARDINAL
ejpam-4181	16	3	1	CARDINAL
ejpam-4181	20	1	milver@my.yorku.ca	PERSON
ejpam-4181	20	2	r. reynolds	PERSON
ejpam-4181	20	3	a. stauffer	PERSON
ejpam-4181	21	1	30	CARDINAL
ejpam-4181	21	2	2022	CARDINAL
ejpam-4181	22	1	r. reynolds	PERSON
ejpam-4181	22	2	a. stauffer	PERSON
ejpam-4181	23	1	j. pure	PERSON
ejpam-4181	23	2	15	CARDINAL
ejpam-4181	23	3	1	CARDINAL
ejpam-4181	23	4	2022	CARDINAL
ejpam-4181	23	5	30	CARDINAL
ejpam-4181	23	6	5	CARDINAL
ejpam-4181	24	1	yk γ(k	PERSON
ejpam-4181	24	2	+ 1	DATE
ejpam-4181	24	3	1 2πi	CARDINAL
ejpam-4181	24	4	dw	ORG
ejpam-4181	25	1	2	CARDINAL
ejpam-4181	28	1	2	CARDINAL
ejpam-4181	29	1	3	CARDINAL
ejpam-4181	29	2	5	CARDINAL
ejpam-4181	30	1	first	ORDINAL
ejpam-4181	31	1	first	ORDINAL
ejpam-4181	31	2	zero	CARDINAL
ejpam-4181	32	1	ym−1z−me−bz−pxxα+u+y	PERSON
ejpam-4181	33	1	0,∞	TIME
ejpam-4181	34	1	∈	ORG
ejpam-4181	35	1	0,∞	DATE
ejpam-4181	36	1	0,∞	DATE
ejpam-4181	36	2	3	CARDINAL
ejpam-4181	42	1	γ(k	PERSON
ejpam-4181	42	2	+ 1)γ(u+	DATE
ejpam-4181	42	3	1 2πi	CARDINAL
ejpam-4181	49	1	1 2πi	CARDINAL
ejpam-4181	57	1	1 2πi	CARDINAL
ejpam-4181	57	2	9.67.9	CARDINAL
ejpam-4181	57	3	1	CARDINAL
ejpam-4181	57	4	3.326.2	CARDINAL
ejpam-4181	57	5	3	CARDINAL
ejpam-4181	57	6	−1	DATE
ejpam-4181	57	7	1	CARDINAL
ejpam-4181	57	8	0	CARDINAL
ejpam-4181	57	9	8.334.3	ORDINAL
ejpam-4181	57	10	3	CARDINAL
ejpam-4181	59	1	4.	CARDINAL
ejpam-4181	59	2	the hurwitz-lerch zeta function	ORG
ejpam-4181	59	3	2	CARDINAL
ejpam-4181	59	4	the hurwitz-lerch zeta function	ORG
ejpam-4181	60	1	r. reynolds	PERSON
ejpam-4181	60	2	a. stauffer	PERSON
ejpam-4181	61	1	j. pure	PERSON
ejpam-4181	61	2	15	CARDINAL
ejpam-4181	61	3	1	CARDINAL
ejpam-4181	61	4	2022	CARDINAL
ejpam-4181	61	5	30	CARDINAL
ejpam-4181	62	1	the hurwitz-lerch zeta function	ORG
ejpam-4181	62	2	the hurwitz-lerch zeta function	ORG
ejpam-4181	62	3	25.14	CARDINAL
ejpam-4181	62	4	2	CARDINAL
ejpam-4181	62	5	φ(z	ORG
ejpam-4181	63	1	n=0	PERSON
ejpam-4181	63	2	+ n)−szn	PERCENT
ejpam-4181	63	3	4	CARDINAL
ejpam-4181	63	4	1	CARDINAL
ejpam-4181	63	5	φ(z	ORG
ejpam-4181	63	6	1 γ(s	CARDINAL
ejpam-4181	66	1	1− ze−t	QUANTITY
ejpam-4181	67	1	1 γ(s	CARDINAL
ejpam-4181	69	1	5	CARDINAL
ejpam-4181	69	2	0	CARDINAL
ejpam-4181	69	3	1	CARDINAL
ejpam-4181	69	4	0	CARDINAL
ejpam-4181	69	5	1	CARDINAL
ejpam-4181	70	1	1	CARDINAL
ejpam-4181	70	2	4.2	CARDINAL
ejpam-4181	70	3	2	CARDINAL
ejpam-4181	70	4	log(a	PERSON
ejpam-4181	71	1	−2iπbm−1p−α−1	PERSON
ejpam-4181	72	1	0,∞	DATE
ejpam-4181	72	2	the hurwitz-lerch zeta function	ORG
ejpam-4181	72	3	6	CARDINAL
ejpam-4181	73	1	+ 1	DATE
ejpam-4181	73	2	φ	PERSON
ejpam-4181	73	3	log(a)−	PERSON
ejpam-4181	75	1	2π	CARDINAL
ejpam-4181	76	1	1	CARDINAL
ejpam-4181	76	2	2πi	ORDINAL
ejpam-4181	76	3	2iπaww−k−1p−α−1bm+w−1eiπ(2y+1)(m+w	CARDINAL
ejpam-4181	76	4	1 2πi	CARDINAL
ejpam-4181	77	1	2iπaww−k−1p−α−1bm+w−1eiπ(2y+1)(m+w	CARDINAL
ejpam-4181	77	2	1 2πi	CARDINAL
ejpam-4181	78	1	1.232.2	CARDINAL
ejpam-4181	78	2	3	CARDINAL
ejpam-4181	78	3	0	CARDINAL
ejpam-4181	80	1	5	CARDINAL
ejpam-4181	80	2	the hurwitz-lerch zeta function theorem 1	ORG
ejpam-4181	81	1	∈	ORG
ejpam-4181	81	2	1	CARDINAL
ejpam-4181	81	3	0	CARDINAL
ejpam-4181	81	4	−1	CARDINAL
ejpam-4181	81	5	1/2	CARDINAL
ejpam-4181	81	6	1	CARDINAL
ejpam-4181	81	7	7	CARDINAL
ejpam-4181	86	1	2iπ)k+1eiπm	CARDINAL
ejpam-4181	86	2	φ	PERSON
ejpam-4181	86	3	log(a)−	PERSON
ejpam-4181	88	1	2π	CARDINAL
ejpam-4181	88	2	r. reynolds	PERSON
ejpam-4181	88	3	a. stauffer	PERSON
ejpam-4181	89	1	j. pure	PERSON
ejpam-4181	89	2	15	CARDINAL
ejpam-4181	89	3	1	CARDINAL
ejpam-4181	89	4	2022	CARDINAL
ejpam-4181	89	5	30	CARDINAL
ejpam-4181	90	1	3	CARDINAL
ejpam-4181	90	2	6	CARDINAL
ejpam-4181	91	1	6	CARDINAL
ejpam-4181	91	2	7	CARDINAL
ejpam-4181	91	3	25.2.1	CARDINAL
ejpam-4181	91	4	2	CARDINAL
ejpam-4181	91	5	aprey	ORG
ejpam-4181	91	6	ζ(3	GPE
ejpam-4181	91	7	25.6.9	CARDINAL
ejpam-4181	91	8	2	CARDINAL
ejpam-4181	91	9	log(2	CARDINAL
ejpam-4181	92	1	1	CARDINAL
ejpam-4181	94	1	8	CARDINAL
ejpam-4181	98	1	ym−1z−me−bz−pxxα+u+y γ(u+	PERSON
ejpam-4181	100	1	7	CARDINAL
ejpam-4181	100	2	2	CARDINAL
ejpam-4181	100	3	64:12:7	CARDINAL
ejpam-4181	100	4	4	CARDINAL
ejpam-4181	101	1	2	CARDINAL
ejpam-4181	101	2	9	CARDINAL
ejpam-4181	106	1	1− 2k+1	TIME
ejpam-4181	106	2	2π)k+1ζ(−k	CARDINAL
ejpam-4181	107	1	7	CARDINAL
ejpam-4181	107	2	−1	DATE
ejpam-4181	107	3	1/2	CARDINAL
ejpam-4181	107	4	1	CARDINAL
ejpam-4181	107	5	2	CARDINAL
ejpam-4181	107	6	64:7	CARDINAL
ejpam-4181	107	7	4	CARDINAL
ejpam-4181	107	8	64:12:7	CARDINAL
ejpam-4181	107	9	4	CARDINAL
ejpam-4181	108	1	3	CARDINAL
ejpam-4181	108	2	10	CARDINAL
ejpam-4181	113	1	11	CARDINAL
ejpam-4181	120	1	9	CARDINAL
ejpam-4181	120	2	l’hopital	ORG
ejpam-4181	120	3	−1	DATE
ejpam-4181	120	4	25.6.11	CARDINAL
ejpam-4181	120	5	2	CARDINAL
ejpam-4181	121	1	r. reynolds	PERSON
ejpam-4181	121	2	a. stauffer	PERSON
ejpam-4181	122	1	j. pure	PERSON
ejpam-4181	122	2	15	CARDINAL
ejpam-4181	122	3	1	CARDINAL
ejpam-4181	122	4	2022	CARDINAL
ejpam-4181	122	5	30	CARDINAL
ejpam-4181	122	6	4	CARDINAL
ejpam-4181	123	1	12	CARDINAL
ejpam-4181	129	1	16e2π3	DATE
ejpam-4181	129	2	13	CARDINAL
ejpam-4181	134	1	3π2	CARDINAL
ejpam-4181	137	1	3	CARDINAL
ejpam-4181	138	1	9	CARDINAL
ejpam-4181	138	2	k = −3	ORG
ejpam-4181	138	3	2	CARDINAL
ejpam-4181	138	4	64:7	CARDINAL
ejpam-4181	139	1	5	CARDINAL
ejpam-4181	140	1	14	CARDINAL
ejpam-4181	146	1	− ik	PERSON
ejpam-4181	146	2	2k+1	CARDINAL
ejpam-4181	146	3	1	CARDINAL
ejpam-4181	146	4	2π)k+1ζ(−k	CARDINAL
ejpam-4181	147	1	7	CARDINAL
ejpam-4181	147	2	−1	DATE
ejpam-4181	147	3	log(p),m = 1/2	PRODUCT
ejpam-4181	147	4	1	CARDINAL
ejpam-4181	147	5	2	CARDINAL
ejpam-4181	147	6	64:7	CARDINAL
ejpam-4181	147	7	4	CARDINAL
ejpam-4181	147	8	64:12:7	CARDINAL
ejpam-4181	147	9	4	CARDINAL
ejpam-4181	148	1	6	CARDINAL
ejpam-4181	148	2	15	CARDINAL
ejpam-4181	154	1	1 4π	CARDINAL
ejpam-4181	154	2	16	CARDINAL
ejpam-4181	161	1	14	CARDINAL
ejpam-4181	161	2	l’hopital	ORG
ejpam-4181	161	3	−1	DATE
ejpam-4181	161	4	2	CARDINAL
ejpam-4181	164	1	2	CARDINAL
ejpam-4181	164	2	2	CARDINAL
ejpam-4181	164	3	eiπn	ORG
ejpam-4181	164	4	logm+n(b	DATE
ejpam-4181	165	1	17	CARDINAL
ejpam-4181	166	1	second	ORDINAL
ejpam-4181	167	1	−1	DATE
ejpam-4181	167	2	1	CARDINAL
ejpam-4181	167	3	3	CARDINAL
ejpam-4181	167	4	64:12:7	CARDINAL
ejpam-4181	167	5	4	CARDINAL
ejpam-4181	168	1	35	CARDINAL
ejpam-4181	168	2	8	CARDINAL
ejpam-4181	169	1	18	CARDINAL
ejpam-4181	173	1	12 √ z	QUANTITY
ejpam-4181	175	1	+ 3	DATE
ejpam-4181	176	1	9− 6 √ 2	TIME
ejpam-4181	176	2	16	CARDINAL
ejpam-4181	177	1	17	CARDINAL
ejpam-4181	177	2	2	CARDINAL
ejpam-4181	177	3	2	CARDINAL
ejpam-4181	177	4	2/3,m	CARDINAL
ejpam-4181	177	5	3/4	CARDINAL
ejpam-4181	178	1	9	CARDINAL
ejpam-4181	179	1	19	CARDINAL
ejpam-4181	185	1	+ 2	DATE
ejpam-4181	187	1	4	DATE
ejpam-4181	188	1	17	CARDINAL
ejpam-4181	188	2	2	CARDINAL
ejpam-4181	188	3	1	CARDINAL
ejpam-4181	188	4	1/2,m	CARDINAL
ejpam-4181	188	5	3/4	CARDINAL
ejpam-4181	189	1	7	CARDINAL
ejpam-4181	190	1	mathematica	PERSON
ejpam-4181	190	2	wolfram	DATE
ejpam-4181	191	1	nserc canada	ORG
ejpam-4181	191	2	504070	DATE
ejpam-4181	192	1	1	CARDINAL
ejpam-4181	194	1	nova science publishers, inc.	ORG
ejpam-4181	194	2	12 2010	DATE
ejpam-4181	195	1	2	CARDINAL
ejpam-4181	196	1	f. w. j. olver	PERSON
ejpam-4181	196	2	a. b. olde daalhuis	PERSON
ejpam-4181	196	3	d. w. lozier	PERSON
ejpam-4181	196	4	b. i. schneider	PERSON
ejpam-4181	196	5	r. f. boisvert	PERSON
ejpam-4181	196	6	c. w. clark	PERSON
ejpam-4181	196	7	b. r. miller	PERSON
ejpam-4181	197	1	h. s. cohl	PERSON
ejpam-4181	197	2	m. a. mcclain	PERSON
ejpam-4181	198	1	3	CARDINAL
ejpam-4181	198	2	i. s. gradshteyn	PERSON
ejpam-4181	198	3	i. m. ryzhik	PERSON
ejpam-4181	200	1	amsterdam	GPE
ejpam-4181	200	2	seventh	ORDINAL
ejpam-4181	200	3	2007	DATE
ejpam-4181	201	1	4	CARDINAL
ejpam-4181	201	2	keith b. oldham	PERSON
ejpam-4181	201	3	jan myland	GPE
ejpam-4181	201	4	jerome spanier	PERSON
ejpam-4181	202	1	atlas	PERSON
ejpam-4181	203	1	springer science & business media	ORG
ejpam-4181	203	2	07 2010	DATE
ejpam-4181	204	1	5	CARDINAL
ejpam-4181	204	2	robert reynolds	PERSON
ejpam-4181	204	3	allan stauffer	PERSON
ejpam-4181	206	1	244	CARDINAL
ejpam-4181	206	2	2020	DATE