id	sid	eid	entity	type
ejpam-3976	1	1	european journal	ORG
ejpam-3976	2	1	14	DATE
ejpam-3976	2	2	3	CARDINAL
ejpam-3976	2	3	2021	DATE
ejpam-3976	2	4	666-684	CARDINAL
ejpam-3976	2	5	new york	GPE
ejpam-3976	2	6	cristina b.	PERSON
ejpam-3976	3	1	1	CARDINAL
ejpam-3976	3	2	6000	CARDINAL
ejpam-3976	3	3	cebu city	GPE
ejpam-3976	3	4	2	CARDINAL
ejpam-3976	3	5	6000	CARDINAL
ejpam-3976	3	6	cebu city	GPE
ejpam-3976	3	7	philippines	GPE
ejpam-3976	7	1	2020	DATE
ejpam-3976	7	2	11b68	CARDINAL
ejpam-3976	7	3	41a60	CARDINAL
ejpam-3976	7	4	bernoulli polynomials	ORG
ejpam-3976	7	5	euler	PERSON
ejpam-3976	7	6	apostol-bernoulli	ORG
ejpam-3976	7	7	1	CARDINAL
ejpam-3976	8	1	2text	DATE
ejpam-3976	9	1	+ 1	DATE
ejpam-3976	9	2	∞∑ n=0	PERSON
ejpam-3976	9	3	1.1	CARDINAL
ejpam-3976	9	4	|t|	DATE
ejpam-3976	9	5	1 and |t+log	TIME
ejpam-3976	9	6	6= 1	DATE
ejpam-3976	10	1	1	CARDINAL
ejpam-3976	10	2	3	CARDINAL
ejpam-3976	11	1	0	CARDINAL
ejpam-3976	11	2	1.1	CARDINAL
ejpam-3976	11	3	gn(0;λ	GPE
ejpam-3976	11	4	2	CARDINAL
ejpam-3976	12	1	n=0 gn(0;λ	PERSON
ejpam-3976	13	1	1.2	CARDINAL
ejpam-3976	13	2	zero	CARDINAL
ejpam-3976	13	3	1.1	CARDINAL
ejpam-3976	13	4	2k + 1)πi−	DATE
ejpam-3976	13	5	k ∈ z	PERSON
ejpam-3976	13	6	1.3	CARDINAL
ejpam-3976	13	7	corcinoc@cnu.edu.ph	PERSON
ejpam-3976	14	1	666	CARDINAL
ejpam-3976	15	1	2021	CARDINAL
ejpam-3976	16	1	c. corcino	PERSON
ejpam-3976	17	1	j. pure	PERSON
ejpam-3976	17	2	14	CARDINAL
ejpam-3976	17	3	3	CARDINAL
ejpam-3976	17	4	2021	CARDINAL
ejpam-3976	17	5	666	CARDINAL
ejpam-3976	17	6	1.2	CARDINAL
ejpam-3976	19	1	2	CARDINAL
ejpam-3976	19	2	13	CARDINAL
ejpam-3976	21	1	4	CARDINAL
ejpam-3976	21	2	2	CARDINAL
ejpam-3976	21	3	13	CARDINAL
ejpam-3976	21	4	1	CARDINAL
ejpam-3976	22	1	9	CARDINAL
ejpam-3976	23	1	14	CARDINAL
ejpam-3976	24	1	12	CARDINAL
ejpam-3976	25	1	1	CARDINAL
ejpam-3976	25	2	10	CARDINAL
ejpam-3976	26	1	11	CARDINAL
ejpam-3976	27	1	kim	PERSON
ejpam-3976	27	2	kim	PERSON
ejpam-3976	28	1	6	CARDINAL
ejpam-3976	29	1	5	CARDINAL
ejpam-3976	30	1	navas	ORG
ejpam-3976	31	1	15	CARDINAL
ejpam-3976	31	2	apostol-euler	PERSON
ejpam-3976	32	1	0	CARDINAL
ejpam-3976	32	2	1	CARDINAL
ejpam-3976	34	1	15	CARDINAL
ejpam-3976	36	1	euler	PERSON
ejpam-3976	38	1	15	CARDINAL
ejpam-3976	38	2	apostol-euler	PERSON
ejpam-3976	39	1	15	CARDINAL
ejpam-3976	40	1	2	CARDINAL
ejpam-3976	40	2	2.1	CARDINAL
ejpam-3976	41	1	2	CARDINAL
ejpam-3976	41	2	13	CARDINAL
ejpam-3976	42	1	n ≥ 1	DATE
ejpam-3976	42	2	0 ≤ x ≤ 1	QUANTITY
ejpam-3976	42	3	2	CARDINAL
ejpam-3976	43	1	2k + 1)πi−	DATE
ejpam-3976	43	2	2.1	CARDINAL
ejpam-3976	44	1	c. corcino	PERSON
ejpam-3976	45	1	j. pure	PERSON
ejpam-3976	45	2	14	CARDINAL
ejpam-3976	45	3	3	CARDINAL
ejpam-3976	45	4	2021	CARDINAL
ejpam-3976	45	5	666-684 668	QUANTITY
ejpam-3976	45	6	0	CARDINAL
ejpam-3976	45	7	2.1	CARDINAL
ejpam-3976	45	8	gn(0;λ	GPE
ejpam-3976	46	1	2 ∑ k∈z	QUANTITY
ejpam-3976	46	2	1	CARDINAL
ejpam-3976	47	1	2k + 1)πi−	DATE
ejpam-3976	47	2	2.2	CARDINAL
ejpam-3976	48	1	15	CARDINAL
ejpam-3976	48	2	1.1	CARDINAL
ejpam-3976	49	1	2.2	CARDINAL
ejpam-3976	50	1	uk	GPE
ejpam-3976	50	2	2k	CARDINAL
ejpam-3976	52	1	k ∈ z	PERSON
ejpam-3976	52	2	log λ)/2πi	PERSON
ejpam-3976	53	1	0	CARDINAL
ejpam-3976	54	1	0	CARDINAL
ejpam-3976	54	2	1 2	CARDINAL
ejpam-3976	54	3	1	CARDINAL
ejpam-3976	54	4	2.3	CARDINAL
ejpam-3976	55	1	2.4	CARDINAL
ejpam-3976	56	1	0	CARDINAL
ejpam-3976	56	2	1	CARDINAL
ejpam-3976	58	1	2.5	CARDINAL
ejpam-3976	58	2	1 2	DATE
ejpam-3976	58	3	1	CARDINAL
ejpam-3976	60	1	2.6	CARDINAL
ejpam-3976	60	2	2π(|k|	CARDINAL
ejpam-3976	60	3	1	CARDINAL
ejpam-3976	60	4	1	CARDINAL
ejpam-3976	62	1	γ	GPE
ejpam-3976	62	2	15	CARDINAL
ejpam-3976	63	1	2π	CARDINAL
ejpam-3976	64	1	2π	CARDINAL
ejpam-3976	64	2	2π	CARDINAL
ejpam-3976	64	3	2π	CARDINAL
ejpam-3976	65	1	2π ≤	MONEY
ejpam-3976	65	2	2π	CARDINAL
ejpam-3976	65	3	2π	CARDINAL
ejpam-3976	66	1	j. pure	PERSON
ejpam-3976	66	2	14	CARDINAL
ejpam-3976	66	3	3	CARDINAL
ejpam-3976	66	4	2021	CARDINAL
ejpam-3976	66	5	666-684 669	QUANTITY
ejpam-3976	66	6	1 2	DATE
ejpam-3976	67	1	0	CARDINAL
ejpam-3976	67	2	1 2	CARDINAL
ejpam-3976	68	1	2.3	CARDINAL
ejpam-3976	68	2	2.4	CARDINAL
ejpam-3976	68	3	2.5	CARDINAL
ejpam-3976	68	4	2.6	CARDINAL
ejpam-3976	70	1	k ∈ z	ORG
ejpam-3976	70	2	uk	GPE
ejpam-3976	70	3	2π √	QUANTITY
ejpam-3976	70	4	2 + y2	QUANTITY
ejpam-3976	71	1	0	CARDINAL
ejpam-3976	71	2	1 2	CARDINAL
ejpam-3976	71	3	1 2	CARDINAL
ejpam-3976	71	4	2	CARDINAL
ejpam-3976	72	1	2π √	CARDINAL
ejpam-3976	72	2	3 2	CARDINAL
ejpam-3976	72	3	2 + y2 |u2|	DATE
ejpam-3976	72	4	2π √	CARDINAL
ejpam-3976	72	5	5 2	CARDINAL
ejpam-3976	72	6	2 + y2	QUANTITY
ejpam-3976	72	7	2π √	QUANTITY
ejpam-3976	72	8	−1 2	MONEY
ejpam-3976	72	9	2 + y2	QUANTITY
ejpam-3976	72	10	2π	CARDINAL
ejpam-3976	72	11	1 2 + x	QUANTITY
ejpam-3976	72	12	2 + y2	QUANTITY
ejpam-3976	72	13	2π √	QUANTITY
ejpam-3976	72	14	2	CARDINAL
ejpam-3976	72	15	2 + y2	QUANTITY
ejpam-3976	72	16	2π	CARDINAL
ejpam-3976	72	17	3 2 + x	QUANTITY
ejpam-3976	72	18	2 + y2	QUANTITY
ejpam-3976	72	19	2π √	QUANTITY
ejpam-3976	72	20	2 + y2	QUANTITY
ejpam-3976	72	21	2π	CARDINAL
ejpam-3976	72	22	5	CARDINAL
ejpam-3976	72	23	2 + y2	QUANTITY
ejpam-3976	72	24	7 2	CARDINAL
ejpam-3976	72	25	2 + y2	QUANTITY
ejpam-3976	72	26	uk	GPE
ejpam-3976	72	27	k ∈ z	PERSON
ejpam-3976	72	28	2.3	CARDINAL
ejpam-3976	73	1	second	ORDINAL
ejpam-3976	74	1	two	CARDINAL
ejpam-3976	75	1	zero	CARDINAL
ejpam-3976	76	1	0	CARDINAL
ejpam-3976	76	2	0	CARDINAL
ejpam-3976	77	1	k ≥ 0	ORG
ejpam-3976	77	2	2 + y2	QUANTITY
ejpam-3976	78	1	c. corcino	PERSON
ejpam-3976	79	1	j. pure	PERSON
ejpam-3976	79	2	14	CARDINAL
ejpam-3976	79	3	3	CARDINAL
ejpam-3976	79	4	2021	CARDINAL
ejpam-3976	79	5	666-684 670	CARDINAL
ejpam-3976	79	6	2π	CARDINAL
ejpam-3976	79	7	1 2	CARDINAL
ejpam-3976	79	8	2 + y2	QUANTITY
ejpam-3976	79	9	2π √	CARDINAL
ejpam-3976	79	10	1 + 1 2	QUANTITY
ejpam-3976	79	11	2 + y2	QUANTITY
ejpam-3976	79	12	2π √	QUANTITY
ejpam-3976	79	13	2 + y2 |u2|	QUANTITY
ejpam-3976	79	14	2π √	CARDINAL
ejpam-3976	79	15	2 + 1 2	DATE
ejpam-3976	80	1	2π √	QUANTITY
ejpam-3976	80	2	2 + y2	QUANTITY
ejpam-3976	80	3	3 + 1 2	QUANTITY
ejpam-3976	80	4	2 + y2	QUANTITY
ejpam-3976	81	1	2.5	CARDINAL
ejpam-3976	82	1	θ = π	ORG
ejpam-3976	82	2	1 2	DATE
ejpam-3976	83	1	k ≥ 0	ORG
ejpam-3976	83	2	2π	CARDINAL
ejpam-3976	85	1	2.6	CARDINAL
ejpam-3976	86	1	2π	CARDINAL
ejpam-3976	87	1	2	CARDINAL
ejpam-3976	88	1	2	CARDINAL
ejpam-3976	89	1	j. pure	PERSON
ejpam-3976	89	2	14	CARDINAL
ejpam-3976	89	3	3	CARDINAL
ejpam-3976	89	4	2021	CARDINAL
ejpam-3976	89	5	666-684 671	QUANTITY
ejpam-3976	89	6	2π	CARDINAL
ejpam-3976	89	7	1 2	CARDINAL
ejpam-3976	89	8	2π	CARDINAL
ejpam-3976	90	1	2π	CARDINAL
ejpam-3976	90	2	1 2 ∣∣∣∣	QUANTITY
ejpam-3976	90	3	2π	CARDINAL
ejpam-3976	90	4	∣∣∣∣12	CARDINAL
ejpam-3976	90	5	2π	CARDINAL
ejpam-3976	91	1	gn(0;λ	GPE
ejpam-3976	91	2	2.3	CARDINAL
ejpam-3976	92	1	max	PERSON
ejpam-3976	92	2	|u|	PRODUCT
ejpam-3976	92	3	u ∈	ORG
ejpam-3976	92	4	∈	ORG
ejpam-3976	93	1	2	CARDINAL
ejpam-3976	93	2	gn(0;λ	GPE
ejpam-3976	94	1	2 ∑	CARDINAL
ejpam-3976	94	2	1	CARDINAL
ejpam-3976	94	3	un	ORG
ejpam-3976	96	1	2.2	CARDINAL
ejpam-3976	96	2	∑ k 1	PERSON
ejpam-3976	97	1	2.2	CARDINAL
ejpam-3976	98	1	≤ |µm |	GPE
ejpam-3976	99	1	2π(|k|	CARDINAL
ejpam-3976	99	2	1	CARDINAL
ejpam-3976	99	3	k ≥ 2	ORG
ejpam-3976	99	4	n ≥ 2	ORG
ejpam-3976	100	1	2	CARDINAL
ejpam-3976	100	2	∞∑ k=m+1 1	PERSON
ejpam-3976	100	3	1	CARDINAL
ejpam-3976	100	4	∞∑ k=m+1	PERSON
ejpam-3976	101	1	+ 1	DATE
ejpam-3976	101	2	∣∣∣ ≤ 1	CARDINAL
ejpam-3976	101	3	∣∣∣µm+1	TIME
ejpam-3976	101	4	n ≥ 2	ORG
ejpam-3976	102	1	∞∑ k=m+1	PERSON
ejpam-3976	102	2	|µk|n ≤ 1	PRODUCT
ejpam-3976	102	3	∞∑ k=m+1	PERSON
ejpam-3976	103	1	∞∑ k=m+1	PERSON
ejpam-3976	104	1	∞∑ k=m+1 1	PERSON
ejpam-3976	105	1	c. corcino	PERSON
ejpam-3976	106	1	j. pure	PERSON
ejpam-3976	106	2	14	CARDINAL
ejpam-3976	106	3	3	CARDINAL
ejpam-3976	106	4	2021	CARDINAL
ejpam-3976	106	5	666	CARDINAL
ejpam-3976	106	6	684 672	CARDINAL
ejpam-3976	107	1	∞∑ k=m+1	PERSON
ejpam-3976	107	2	∞∑ k=m+1 1	PERSON
ejpam-3976	107	3	2π)2	CARDINAL
ejpam-3976	107	4	+ 1 + 1 2	DATE
ejpam-3976	107	5	∞∑ k=m+1 1	PERSON
ejpam-3976	107	6	+ 3 2	CARDINAL
ejpam-3976	107	7	∞∑ k=m+1 1	PERSON
ejpam-3976	107	8	+ 3 2	CARDINAL
ejpam-3976	107	9	+ 3 2	CARDINAL
ejpam-3976	107	10	1 m2 + ∞∑ l=1 1	QUANTITY
ejpam-3976	108	1	∞∑ l=1 1	PERSON
ejpam-3976	108	2	1 1	CARDINAL
ejpam-3976	108	3	+ x)2	PERSON
ejpam-3976	109	1	1	CARDINAL
ejpam-3976	109	2	+ 1	DATE
ejpam-3976	109	3	+ 3 2	CARDINAL
ejpam-3976	109	4	1 m2 + 1	QUANTITY
ejpam-3976	109	5	+ 1	DATE
ejpam-3976	109	6	2	CARDINAL
ejpam-3976	110	1	+ 1	DATE
ejpam-3976	111	1	+ 3 2	CARDINAL
ejpam-3976	111	2	∣∣2 m2 ≤	QUANTITY
ejpam-3976	111	3	+ 3 2	CARDINAL
ejpam-3976	111	4	+ 1| ≤ 1	MONEY
ejpam-3976	114	1	2	CARDINAL
ejpam-3976	114	2	+ 2	DATE
ejpam-3976	114	3	+ 3 2	CARDINAL
ejpam-3976	115	1	+ 2ε2	QUANTITY
ejpam-3976	115	2	+ 3/2− γ|	DATE
ejpam-3976	115	3	c. corcino	PERSON
ejpam-3976	116	1	j. pure	PERSON
ejpam-3976	116	2	14	CARDINAL
ejpam-3976	116	3	3	CARDINAL
ejpam-3976	116	4	2021	CARDINAL
ejpam-3976	116	5	666-684 673	QUANTITY
ejpam-3976	116	6	+ 3 2	CARDINAL
ejpam-3976	116	7	+ 3 2	DATE
ejpam-3976	116	8	2 +	DATE
ejpam-3976	117	1	2n−1πn	CARDINAL
ejpam-3976	117	2	2n−1πn	CARDINAL
ejpam-3976	117	3	2)n	DATE
ejpam-3976	118	1	2n−1πn	CARDINAL
ejpam-3976	118	2	+ 1 + |1/2− γ|	DATE
ejpam-3976	118	3	2n−1πn	CARDINAL
ejpam-3976	118	4	|5/2−	DATE
ejpam-3976	118	5	2	CARDINAL
ejpam-3976	118	6	2n−1πn	CARDINAL
ejpam-3976	119	1	n→∞	DATE
ejpam-3976	119	2	2	CARDINAL
ejpam-3976	120	1	∞∑ k=m+1 1	PERSON
ejpam-3976	120	2	0	CARDINAL
ejpam-3976	120	3	2	CARDINAL
ejpam-3976	123	1	1	CARDINAL
ejpam-3976	123	2	uk	GPE
ejpam-3976	123	3	k ∈ z.	PERSON
ejpam-3976	124	1	1	CARDINAL
ejpam-3976	124	2	2(n	CARDINAL
ejpam-3976	126	1	1	CARDINAL
ejpam-3976	126	2	2(n	CARDINAL
ejpam-3976	127	1	1	CARDINAL
ejpam-3976	128	1	2.7	CARDINAL
ejpam-3976	128	2	1	CARDINAL
ejpam-3976	128	3	gn 2(n	LAW
ejpam-3976	129	1	≈ 1	CARDINAL
ejpam-3976	130	1	2.8	CARDINAL
ejpam-3976	130	2	0	CARDINAL
ejpam-3976	130	3	2.8	CARDINAL
ejpam-3976	131	1	≈	CARDINAL
ejpam-3976	132	1	2.9	CARDINAL
ejpam-3976	132	2	4	CARDINAL
ejpam-3976	132	3	≈ 4(8	CARDINAL
ejpam-3976	134	1	≈ 16.99	CARDINAL
ejpam-3976	135	1	g8	ORG
ejpam-3976	135	2	17	CARDINAL
ejpam-3976	136	1	2.1	CARDINAL
ejpam-3976	137	1	c. corcino	PERSON
ejpam-3976	138	1	j. pure	PERSON
ejpam-3976	138	2	14	CARDINAL
ejpam-3976	138	3	3	CARDINAL
ejpam-3976	138	4	2021	CARDINAL
ejpam-3976	138	5	666	CARDINAL
ejpam-3976	138	6	684 674	CARDINAL
ejpam-3976	138	7	2.4	DATE
ejpam-3976	138	8	∈	ORG
ejpam-3976	138	9	∈	ORG
ejpam-3976	138	10	\h	ORG
ejpam-3976	139	1	2	CARDINAL
ejpam-3976	141	1	2 ∑	CARDINAL
ejpam-3976	141	2	∈	ORG
ejpam-3976	142	1	+o	DATE
ejpam-3976	146	1	1.1	CARDINAL
ejpam-3976	146	2	2ze(x+y)z	CARDINAL
ejpam-3976	146	3	+ 1	DATE
ejpam-3976	147	1	lhs	PERSON
ejpam-3976	147	2	2zexz	CARDINAL
ejpam-3976	147	3	+ 1	DATE
ejpam-3976	147	4	eyz	PERSON
ejpam-3976	149	1	∞∑ n=0	PERSON
ejpam-3976	150	1	∞∑ n=0	PERSON
ejpam-3976	152	1	n=0 n∑ k=0	PERSON
ejpam-3976	152	2	zn−k	GPE
ejpam-3976	154	1	∞∑ n=0	PERSON
ejpam-3976	154	2	n∑ k=0	PERSON
ejpam-3976	154	3	gn(x+ y;λ	PERSON
ejpam-3976	155	1	n∑ k=0	PERSON
ejpam-3976	156	1	∈	ORG
ejpam-3976	158	1	n∑ k=0	PERSON
ejpam-3976	158	2	n k ) gn−k(0	ORG
ejpam-3976	159	1	n∑ k=0	PERSON
ejpam-3976	162	1	2	CARDINAL
ejpam-3976	162	2	n∑ k=0	PERSON
ejpam-3976	162	3	∑	ORG
ejpam-3976	162	4	∈	ORG
ejpam-3976	162	5	1	CARDINAL
ejpam-3976	164	1	2.3	CARDINAL
ejpam-3976	164	2	2	CARDINAL
ejpam-3976	164	3	n∑ k=0	PERSON
ejpam-3976	164	4	1 un−k zk	MONEY
ejpam-3976	165	1	n∑ k=0	PERSON
ejpam-3976	167	1	c. corcino	PERSON
ejpam-3976	168	1	j. pure	PERSON
ejpam-3976	168	2	14	CARDINAL
ejpam-3976	168	3	3	CARDINAL
ejpam-3976	168	4	2021	CARDINAL
ejpam-3976	168	5	666-684 675	CARDINAL
ejpam-3976	169	1	o(ν−n+k	DATE
ejpam-3976	169	2	zk k!	PERSON
ejpam-3976	170	1	n∑ k=0	PERSON
ejpam-3976	171	1	cν−n+k	GPE
ejpam-3976	172	1	n∑ k=0	PERSON
ejpam-3976	172	2	|zk| k!	PERSON
ejpam-3976	172	3	∑n k=0 wk	PERSON
ejpam-3976	174	1	e∗n(uz	GPE
ejpam-3976	174	2	un	ORG
ejpam-3976	175	1	un	ORG
ejpam-3976	176	1	mvt	PERSON
ejpam-3976	176	2	15	CARDINAL
ejpam-3976	176	3	1	CARDINAL
ejpam-3976	177	1	2	CARDINAL
ejpam-3976	178	1	1	CARDINAL
ejpam-3976	179	1	1 + w	CARDINAL
ejpam-3976	179	2	2 +	DATE
ejpam-3976	179	3	2	CARDINAL
ejpam-3976	179	4	1	CARDINAL
ejpam-3976	180	1	2 +	DATE
ejpam-3976	180	2	2	CARDINAL
ejpam-3976	180	3	∣∣∣∣ ≤	MONEY
ejpam-3976	180	4	1	CARDINAL
ejpam-3976	181	1	re+(w	PERSON
ejpam-3976	182	1	|u| ≤ ν	MONEY
ejpam-3976	182	2	∈	ORG
ejpam-3976	183	1	|u|e|uz| |z	ORG
ejpam-3976	183	2	1	CARDINAL
ejpam-3976	184	1	1	CARDINAL
ejpam-3976	185	1	un	ORG
ejpam-3976	186	1	∈	ORG
ejpam-3976	187	1	|un|	CARDINAL
ejpam-3976	187	2	c. corcino	PERSON
ejpam-3976	188	1	j. pure	PERSON
ejpam-3976	188	2	14	CARDINAL
ejpam-3976	188	3	3	CARDINAL
ejpam-3976	188	4	2021	CARDINAL
ejpam-3976	188	5	666	CARDINAL
ejpam-3976	188	6	1	CARDINAL
ejpam-3976	189	1	#	CARDINAL
ejpam-3976	190	1	#hνeν|z| |z|n+1	MONEY
ejpam-3976	190	2	1	CARDINAL
ejpam-3976	192	1	1	CARDINAL
ejpam-3976	194	1	k ⊂ c.	ORG
ejpam-3976	194	2	2.5	CARDINAL
ejpam-3976	195	1	g2n(x	NORP
ejpam-3976	195	2	2n	CARDINAL
ejpam-3976	196	1	4	CARDINAL
ejpam-3976	197	1	n ≥ 2	DATE
ejpam-3976	197	2	2n+ 1	CARDINAL
ejpam-3976	198	1	4	CARDINAL
ejpam-3976	198	2	π2n+1 +o	GPE
ejpam-3976	198	3	n ≥ 3	DATE
ejpam-3976	198	4	k. moreover	PERSON
ejpam-3976	201	1	1	CARDINAL
ejpam-3976	201	2	2k+1)πi	CARDINAL
ejpam-3976	201	3	k ∈ z.	PERSON
ejpam-3976	203	1	k ∈ z	PERSON
ejpam-3976	204	1	2k +	QUANTITY
ejpam-3976	205	1	−1	DATE
ejpam-3976	205	2	0	CARDINAL
ejpam-3976	205	3	−πi	PERSON
ejpam-3976	205	4	|3πi|	CARDINAL
ejpam-3976	205	5	3π	CARDINAL
ejpam-3976	206	1	2.4	DATE
ejpam-3976	206	2	1	CARDINAL
ejpam-3976	207	1	2 ∑	CARDINAL
ejpam-3976	208	1	+o	DATE
ejpam-3976	208	2	2	CARDINAL
ejpam-3976	210	1	g2n(x	NORP
ejpam-3976	210	2	2n	CARDINAL
ejpam-3976	211	1	1	CARDINAL
ejpam-3976	211	2	2n	CARDINAL
ejpam-3976	212	1	2	CARDINAL
ejpam-3976	213	1	4	CARDINAL
ejpam-3976	214	1	j. pure	PERSON
ejpam-3976	214	2	14	CARDINAL
ejpam-3976	214	3	3	CARDINAL
ejpam-3976	214	4	2021	CARDINAL
ejpam-3976	214	5	666	CARDINAL
ejpam-3976	214	6	4	CARDINAL
ejpam-3976	216	1	2n+ 1	CARDINAL
ejpam-3976	217	1	1	CARDINAL
ejpam-3976	217	2	2n+ 1	CARDINAL
ejpam-3976	218	1	2	CARDINAL
ejpam-3976	219	1	2	CARDINAL
ejpam-3976	219	2	2	CARDINAL
ejpam-3976	220	1	−1)n(4	NORP
ejpam-3976	220	2	π2n+1 +o	GPE
ejpam-3976	221	1	2.5	CARDINAL
ejpam-3976	221	2	33	CARDINAL
ejpam-3976	221	3	3	CARDINAL
ejpam-3976	222	1	2n	CARDINAL
ejpam-3976	222	2	2	CARDINAL
ejpam-3976	222	3	±	CARDINAL
ejpam-3976	222	4	33	CARDINAL
ejpam-3976	222	5	3	CARDINAL
ejpam-3976	222	6	g2n(x	NORP
ejpam-3976	223	1	4((2n	CARDINAL
ejpam-3976	224	1	2n	CARDINAL
ejpam-3976	226	1	+o	DATE
ejpam-3976	228	1	1 (	CARDINAL
ejpam-3976	229	1	2	CARDINAL
ejpam-3976	230	1	33	CARDINAL
ejpam-3976	230	2	3	CARDINAL
ejpam-3976	232	1	2n+ 1	CARDINAL
ejpam-3976	233	1	4	CARDINAL
ejpam-3976	233	2	π2n+1 +o	GPE
ejpam-3976	234	1	4	CARDINAL
ejpam-3976	236	1	j. pure	PERSON
ejpam-3976	236	2	14	CARDINAL
ejpam-3976	236	3	3	CARDINAL
ejpam-3976	236	4	2021	CARDINAL
ejpam-3976	236	5	666-684 678	QUANTITY
ejpam-3976	236	6	4	CARDINAL
ejpam-3976	236	7	π2n+1 +o	GPE
ejpam-3976	237	1	4	CARDINAL
ejpam-3976	239	1	2.5	CARDINAL
ejpam-3976	239	2	33	CARDINAL
ejpam-3976	239	3	3	CARDINAL
ejpam-3976	240	1	3	CARDINAL
ejpam-3976	240	2	2text −|λ|et	ORG
ejpam-3976	240	3	+ 1	DATE
ejpam-3976	240	4	∞∑ n=0	PERSON
ejpam-3976	241	1	3.1	CARDINAL
ejpam-3976	241	2	3.1	CARDINAL
ejpam-3976	241	3	2kπi−	CARDINAL
ejpam-3976	241	4	k ∈ z	PERSON
ejpam-3976	242	1	2.4	CARDINAL
ejpam-3976	243	1	3.1	CARDINAL
ejpam-3976	244	1	max	PERSON
ejpam-3976	244	2	2	CARDINAL
ejpam-3976	245	1	2 ∑ a∈f	QUANTITY
ejpam-3976	245	2	3.2	CARDINAL
ejpam-3976	245	3	k. the apostol-genocchi numbers	PERSON
ejpam-3976	245	4	−1	DATE
ejpam-3976	245	5	2	CARDINAL
ejpam-3976	246	1	3.3	CARDINAL
ejpam-3976	246	2	2kπi	CARDINAL
ejpam-3976	246	3	k ∈	PERSON
ejpam-3976	247	1	3.2	CARDINAL
ejpam-3976	248	1	n ≥ 3	DATE
ejpam-3976	249	1	2	CARDINAL
ejpam-3976	249	2	2πi)n	CARDINAL
ejpam-3976	250	1	4π)−n	CARDINAL
ejpam-3976	251	1	3.4	CARDINAL
ejpam-3976	251	2	2n	CARDINAL
ejpam-3976	253	1	n ≥ 2	DATE
ejpam-3976	253	2	3.5	CARDINAL
ejpam-3976	253	3	c. corcino	PERSON
ejpam-3976	254	1	j. pure	PERSON
ejpam-3976	254	2	14	CARDINAL
ejpam-3976	254	3	3	CARDINAL
ejpam-3976	254	4	2021	CARDINAL
ejpam-3976	254	5	666-684 679	QUANTITY
ejpam-3976	255	1	2πi	ORG
ejpam-3976	255	2	3.1	CARDINAL
ejpam-3976	255	3	4π	CARDINAL
ejpam-3976	256	1	2gn(0;−1	MONEY
ejpam-3976	258	1	2πi)n	CARDINAL
ejpam-3976	259	1	4π)−n	CARDINAL
ejpam-3976	259	2	3.6	CARDINAL
ejpam-3976	259	3	3.4	CARDINAL
ejpam-3976	260	1	3.6	CARDINAL
ejpam-3976	261	1	≈ 0	DATE
ejpam-3976	263	1	0,	PERCENT
ejpam-3976	263	2	∀n ≥ 1	DATE
ejpam-3976	263	3	n ≥ 2	DATE
ejpam-3976	263	4	2n	CARDINAL
ejpam-3976	264	1	4	CARDINAL
ejpam-3976	265	1	+o	DATE
ejpam-3976	266	1	3.7	CARDINAL
ejpam-3976	266	2	3.7	CARDINAL
ejpam-3976	267	1	4(2n	CARDINAL
ejpam-3976	269	1	3.8	CARDINAL
ejpam-3976	269	2	4	CARDINAL
ejpam-3976	269	3	4(8	CARDINAL
ejpam-3976	270	1	2π)8 ≈ .06638	MONEY
ejpam-3976	272	1	1 15	TIME
ejpam-3976	274	1	−1	DATE
ejpam-3976	275	1	2text −et + 1	DATE
ejpam-3976	275	2	n=0	DATE
ejpam-3976	276	1	3.9	CARDINAL
ejpam-3976	276	2	3.3	CARDINAL
ejpam-3976	277	1	2n	CARDINAL
ejpam-3976	278	1	−1)n4 cos 2πx	ORG
ejpam-3976	278	2	3.10	CARDINAL
ejpam-3976	278	3	2n+ 1	CARDINAL
ejpam-3976	279	1	2πx	ORDINAL
ejpam-3976	280	1	3.11	CARDINAL
ejpam-3976	280	2	k. moreover	PERSON
ejpam-3976	282	1	c. corcino	PERSON
ejpam-3976	283	1	j. pure	PERSON
ejpam-3976	283	2	14	CARDINAL
ejpam-3976	283	3	3	CARDINAL
ejpam-3976	283	4	2021	CARDINAL
ejpam-3976	283	5	666-684	CARDINAL
ejpam-3976	284	1	2πi	ORG
ejpam-3976	284	2	4π	CARDINAL
ejpam-3976	285	1	3.1	CARDINAL
ejpam-3976	287	1	2πi)n	CARDINAL
ejpam-3976	290	1	3.12	CARDINAL
ejpam-3976	290	2	2n+ 1	CARDINAL
ejpam-3976	292	1	2πi)2n+1 + e−2πix	MONEY
ejpam-3976	293	1	3.13	CARDINAL
ejpam-3976	293	2	2n+ 1	CARDINAL
ejpam-3976	294	1	2πx	ORDINAL
ejpam-3976	296	1	3.14	CARDINAL
ejpam-3976	296	2	2n	CARDINAL
ejpam-3976	297	1	2	CARDINAL
ejpam-3976	297	2	2πi)2n + e−2πix	MONEY
ejpam-3976	298	1	3.15	CARDINAL
ejpam-3976	298	2	−1)n4 cos 2πx	ORG
ejpam-3976	300	1	3.16	CARDINAL
ejpam-3976	300	2	4	CARDINAL
ejpam-3976	300	3	apostol-euler	PERSON
ejpam-3976	300	4	2	CARDINAL
ejpam-3976	301	1	n=0	PERSON
ejpam-3976	302	1	4.1	CARDINAL
ejpam-3976	302	2	4.1	CARDINAL
ejpam-3976	302	3	n=0 gn(0;λ	GPE
ejpam-3976	304	1	n=0	PERSON
ejpam-3976	304	2	1)en(0;λ	CARDINAL
ejpam-3976	304	3	1	CARDINAL
ejpam-3976	304	4	1	CARDINAL
ejpam-3976	306	1	4.2	CARDINAL
ejpam-3976	306	2	2.3	CARDINAL
ejpam-3976	307	1	2(n− 1	ORG
ejpam-3976	308	1	n=0 1	DATE
ejpam-3976	308	2	un	ORG
ejpam-3976	308	3	4.3	CARDINAL
ejpam-3976	308	4	⊆	CARDINAL
ejpam-3976	308	5	2k + 1)πi−	DATE
ejpam-3976	309	1	c. corcino	PERSON
ejpam-3976	310	1	j. pure	PERSON
ejpam-3976	310	2	14	CARDINAL
ejpam-3976	310	3	3	CARDINAL
ejpam-3976	310	4	2021	CARDINAL
ejpam-3976	310	5	666-684 681 max{|u|	QUANTITY
ejpam-3976	310	6	∈	ORG
ejpam-3976	310	7	2k + 1	DATE
ejpam-3976	310	8	4.2	CARDINAL
ejpam-3976	311	1	2k + 1	DATE
ejpam-3976	311	2	4.4	CARDINAL
ejpam-3976	311	3	2k	CARDINAL
ejpam-3976	312	1	4.5	CARDINAL
ejpam-3976	312	2	1	CARDINAL
ejpam-3976	313	1	4.2	CARDINAL
ejpam-3976	314	1	4.6	CARDINAL
ejpam-3976	314	2	1	CARDINAL
ejpam-3976	315	1	2.9	CARDINAL
ejpam-3976	315	2	1	CARDINAL
ejpam-3976	316	1	2n	CARDINAL
ejpam-3976	318	1	1	CARDINAL
ejpam-3976	319	1	−1)n(4	NORP
ejpam-3976	320	1	+o	DATE
ejpam-3976	320	2	3π)−n	CARDINAL
ejpam-3976	320	3	n ≥ 2	DATE
ejpam-3976	320	4	4.7	CARDINAL
ejpam-3976	320	5	2	CARDINAL
ejpam-3976	320	6	≈ 3	CARDINAL
ejpam-3976	321	1	4	CARDINAL
ejpam-3976	322	1	24	CARDINAL
ejpam-3976	322	2	0.24638	CARDINAL
ejpam-3976	323	1	0.25	CARDINAL
ejpam-3976	324	1	2ext	CARDINAL
ejpam-3976	324	2	n=0	DATE
ejpam-3976	324	3	4.8	CARDINAL
ejpam-3976	324	4	∞∑ n=0 gn(x;λ)tn n	PERSON
ejpam-3976	325	1	n=0	PERSON
ejpam-3976	325	2	1	CARDINAL
ejpam-3976	326	1	4.9	CARDINAL
ejpam-3976	327	1	4.10	CARDINAL
ejpam-3976	327	2	2.4	DATE
ejpam-3976	327	3	1	CARDINAL
ejpam-3976	328	1	1	CARDINAL
ejpam-3976	329	1	1	CARDINAL
ejpam-3976	332	1	1	CARDINAL
ejpam-3976	333	1	2	CARDINAL
ejpam-3976	333	2	un	ORG
ejpam-3976	334	1	+o	DATE
ejpam-3976	336	1	c. corcino	PERSON
ejpam-3976	337	1	j. pure	PERSON
ejpam-3976	337	2	14	CARDINAL
ejpam-3976	337	3	3	CARDINAL
ejpam-3976	337	4	2021	CARDINAL
ejpam-3976	337	5	666	CARDINAL
ejpam-3976	337	6	684 682	CARDINAL
ejpam-3976	337	7	4.1	CARDINAL
ejpam-3976	338	1	∈	ORG
ejpam-3976	338	2	1	CARDINAL
ejpam-3976	339	1	2 ∑	CARDINAL
ejpam-3976	340	1	+o	DATE
ejpam-3976	340	2	k. moreover	PERSON
ejpam-3976	342	1	2.5	CARDINAL
ejpam-3976	342	2	euler	PERSON
ejpam-3976	342	3	1	CARDINAL
ejpam-3976	342	4	1	CARDINAL
ejpam-3976	343	1	2n	CARDINAL
ejpam-3976	345	1	4.11	CARDINAL
ejpam-3976	345	2	2n	CARDINAL
ejpam-3976	346	1	2n+ 1	CARDINAL
ejpam-3976	348	1	4.12	CARDINAL
ejpam-3976	348	2	n→∞	DATE
ejpam-3976	348	3	n ≥ 1	DATE
ejpam-3976	349	1	−1	DATE
ejpam-3976	350	1	4.10	CARDINAL
ejpam-3976	351	1	4.13	CARDINAL
ejpam-3976	351	2	3.10	CARDINAL
ejpam-3976	351	3	3.11	CARDINAL
ejpam-3976	351	4	2n	CARDINAL
ejpam-3976	352	1	2πx	ORDINAL
ejpam-3976	353	1	4.14	CARDINAL
ejpam-3976	353	2	1	CARDINAL
ejpam-3976	354	1	−1)n4 cos 2πx	ORG
ejpam-3976	354	2	4.15	CARDINAL
ejpam-3976	354	3	k of c. 5	GPE
ejpam-3976	356	1	15	CARDINAL
ejpam-3976	357	1	683	CARDINAL
ejpam-3976	357	2	1	CARDINAL
ejpam-3976	358	1	8	CARDINAL
ejpam-3976	361	1	1	CARDINAL
ejpam-3976	361	2	s. araci	PERSON
ejpam-3976	361	3	w.a khan	PERSON
ejpam-3976	361	4	m. acikgoz	PERSON
ejpam-3976	361	5	p. kumam	PERSON
ejpam-3976	361	6	springerplus	ORG
ejpam-3976	363	1	2	CARDINAL
ejpam-3976	363	2	a. bayad	PERSON
ejpam-3976	363	3	80	CARDINAL
ejpam-3976	363	4	2011	DATE
ejpam-3976	363	5	2219–2221	CARDINAL
ejpam-3976	364	1	3	CARDINAL
ejpam-3976	364	2	c. b. corcino	PERSON
ejpam-3976	364	3	r.b.	GPE
ejpam-3976	364	4	corcino	NORP
ejpam-3976	366	1	2020	DATE
ejpam-3976	366	2	4	CARDINAL
ejpam-3976	366	3	c. b. corcino	PERSON
ejpam-3976	366	4	r.b. corcino	GPE
ejpam-3976	366	5	apostol-bernoulli	PERSON
ejpam-3976	366	6	apostol-euler	PERSON
ejpam-3976	366	7	2020(1	CARDINAL
ejpam-3976	366	8	1-13	DATE
ejpam-3976	367	1	5	CARDINAL
ejpam-3976	367	2	a. duran	PERSON
ejpam-3976	367	3	m. acikgoz	PERSON
ejpam-3976	367	4	s. araci	PERSON
ejpam-3976	367	5	2017	CARDINAL
ejpam-3976	367	6	article id 7	LAW
ejpam-3976	367	7	8	CARDINAL
ejpam-3976	368	1	6	CARDINAL
ejpam-3976	368	2	m. acikgoz	PERSON
ejpam-3976	368	3	s. araci	PERSON
ejpam-3976	368	4	2	CARDINAL
ejpam-3976	368	5	2020	DATE
ejpam-3976	368	6	432(2020	CARDINAL
ejpam-3976	369	1	7	CARDINAL
ejpam-3976	370	1	kim	PERSON
ejpam-3976	370	2	t. kim	PERSON
ejpam-3976	371	1	j. math	PERSON
ejpam-3976	373	1	2019 26(1	CARDINAL
ejpam-3976	373	2	40-49	DATE
ejpam-3976	374	1	8	CARDINAL
ejpam-3976	374	2	b. kurt	PERSON
ejpam-3976	374	3	nov 2018	DATE
ejpam-3976	375	1	9	CARDINAL
ejpam-3976	375	2	s. araci	PERSON
ejpam-3976	375	3	h.m. srivastava	PERSON
ejpam-3976	375	4	m. acikgoz	PERSON
ejpam-3976	376	1	comput	PERSON
ejpam-3976	376	2	262	CARDINAL
ejpam-3976	376	3	2015	CARDINAL
ejpam-3976	376	4	31	CARDINAL
ejpam-3976	377	1	684	CARDINAL
ejpam-3976	378	1	10	CARDINAL
ejpam-3976	378	2	j. comput	PERSON
ejpam-3976	379	1	22(4	ORDINAL
ejpam-3976	379	2	2017	CARDINAL
ejpam-3976	379	3	591-600	CARDINAL
ejpam-3976	380	1	11	CARDINAL
ejpam-3976	380	2	s. araci	PERSON
ejpam-3976	380	3	h.m. srivastava	PERSON
ejpam-3976	380	4	m. abdel-aty	PERSON
ejpam-3976	380	5	apostol-euler	PERSON
ejpam-3976	381	1	6	DATE
ejpam-3976	381	2	article id 329	LAW
ejpam-3976	381	3	2019	DATE
ejpam-3976	382	1	https://doi.org/10.3390/math6120329	PERSON
ejpam-3976	383	1	12	CARDINAL
ejpam-3976	383	2	h. jolany	PERSON
ejpam-3976	383	3	h. sharifi	PERSON
ejpam-3976	383	4	arxiv	ORG
ejpam-3976	384	1	13	CARDINAL
ejpam-3976	384	2	luo	PERSON
ejpam-3976	385	1	osaka j.	PERSON
ejpam-3976	386	1	48	CARDINAL
ejpam-3976	386	2	291309	DATE
ejpam-3976	386	3	2011	DATE
ejpam-3976	387	1	14	CARDINAL
ejpam-3976	387	2	q. m. luo	PERSON
ejpam-3976	387	3	h. m. srivastava	PERSON
ejpam-3976	387	4	second	ORDINAL
ejpam-3976	388	1	comput	PERSON
ejpam-3976	388	2	217(12),(2011	DATE
ejpam-3976	388	3	5702-5728	DATE
ejpam-3976	389	1	15	CARDINAL
ejpam-3976	389	2	l. navas	PERSON
ejpam-3976	389	3	f. ruiz	PERSON
ejpam-3976	389	4	apostol-euler	PERSON
ejpam-3976	389	5	81	CARDINAL
ejpam-3976	389	6	279	CARDINAL
ejpam-3976	389	7	july 2012	DATE
ejpam-3976	389	8	1707-1722	CARDINAL