id	sid	eid	entity	type
ejpam-6191	1	1	european journal	ORG
ejpam-6191	1	2	2025	DATE
ejpam-6191	1	3	18	CARDINAL
ejpam-6191	1	4	3	CARDINAL
ejpam-6191	1	5	6191	CARDINAL
ejpam-6191	1	6	1307-5543	DATE
ejpam-6191	1	7	new york	GPE
ejpam-6191	1	8	hyperharmonic	ORG
ejpam-6191	1	9	euler	PERSON
ejpam-6191	1	10	m. manulat2	PERSON
ejpam-6191	1	11	roberto b. corcino1,2,∗ 1	PERSON
ejpam-6191	1	12	6000	CARDINAL
ejpam-6191	1	13	cebu city	GPE
ejpam-6191	1	14	2	CARDINAL
ejpam-6191	1	15	6000	CARDINAL
ejpam-6191	1	16	cebu city	GPE
ejpam-6191	1	17	philippines	GPE
ejpam-6191	2	1	hyperharmonic	ORG
ejpam-6191	3	1	euler	PERSON
ejpam-6191	3	2	hyperharmonic	ORG
ejpam-6191	4	1	pell	PERSON
ejpam-6191	4	2	pell-lucas	PERSON
ejpam-6191	4	3	mersenne-lucas	PERSON
ejpam-6191	5	1	hyperharmonic	ORG
ejpam-6191	6	1	hyperharmonic	ORG
ejpam-6191	7	1	2020	DATE
ejpam-6191	7	2	11b68	CARDINAL
ejpam-6191	7	3	11b73	CARDINAL
ejpam-6191	7	4	05a15	CARDINAL
ejpam-6191	7	5	hyperharmonic	ORG
ejpam-6191	7	6	euler	PERSON
ejpam-6191	7	7	1	CARDINAL
ejpam-6191	7	8	16	CARDINAL
ejpam-6191	9	1	n∑ k=1	PERSON
ejpam-6191	11	1	1	CARDINAL
ejpam-6191	11	2	∗corresponding	PERSON
ejpam-6191	12	1	k. v. m. manulat	PERSON
ejpam-6191	12	2	r. b. corcino	PERSON
ejpam-6191	13	1	1	CARDINAL
ejpam-6191	13	2	2025	CARDINAL
ejpam-6191	15	1	m. manulat	PERSON
ejpam-6191	15	2	r. b.	PERSON
ejpam-6191	16	1	j. pure	PERSON
ejpam-6191	16	2	18	CARDINAL
ejpam-6191	16	3	3	CARDINAL
ejpam-6191	16	4	2025	CARDINAL
ejpam-6191	16	5	6191 2 of 21	DATE
ejpam-6191	16	6	14	CARDINAL
ejpam-6191	18	1	∞∑ n=0	PERSON
ejpam-6191	19	1	1− z	WORK_OF_ART
ejpam-6191	19	2	1.1	CARDINAL
ejpam-6191	19	3	3	CARDINAL
ejpam-6191	20	1	recent years	DATE
ejpam-6191	21	1	one	CARDINAL
ejpam-6191	21	2	hyperharmonic	ORG
ejpam-6191	21	3	13	CARDINAL
ejpam-6191	22	1	h(r	PERSON
ejpam-6191	23	1	∑n k=1h	PERSON
ejpam-6191	23	2	r−1	GPE
ejpam-6191	24	1	1	CARDINAL
ejpam-6191	24	2	0	CARDINAL
ejpam-6191	24	3	0	DATE
ejpam-6191	25	1	hyperharmonic	ORG
ejpam-6191	25	2	1	CARDINAL
ejpam-6191	25	3	8	CARDINAL
ejpam-6191	25	4	∞∑ n=0 h(r	PERSON
ejpam-6191	26	1	− ln(1− z)]r+1 1− z	PERSON
ejpam-6191	27	1	koparal et al	PERSON
ejpam-6191	28	1	21	CARDINAL
ejpam-6191	28	2	generalized hyperharmonic	ORG
ejpam-6191	29	1	z+	ORG
ejpam-6191	29	2	1− z)r	CARDINAL
ejpam-6191	29	3	li1(z	NORP
ejpam-6191	33	1	1	CARDINAL
ejpam-6191	34	1	14	CARDINAL
ejpam-6191	34	2	euler	PERSON
ejpam-6191	34	3	1.1	CARDINAL
ejpam-6191	35	1	n∑ k=1	PERSON
ejpam-6191	35	2	1 1−	QUANTITY
ejpam-6191	36	1	1− bz	PRODUCT
ejpam-6191	36	2	1.2	CARDINAL
ejpam-6191	36	3	n=0 anz n.	PERSON
ejpam-6191	37	1	hyperharmonic	ORG
ejpam-6191	37	2	euler	PERSON
ejpam-6191	37	3	14	CARDINAL
ejpam-6191	39	1	k. v. m. manulat	PERSON
ejpam-6191	39	2	r. b.	PERSON
ejpam-6191	40	1	j. pure	PERSON
ejpam-6191	40	2	18	CARDINAL
ejpam-6191	40	3	3	CARDINAL
ejpam-6191	40	4	2025	CARDINAL
ejpam-6191	40	5	6191 3 of 21	DATE
ejpam-6191	40	6	pell	PERSON
ejpam-6191	40	7	pell lucas	PERSON
ejpam-6191	40	8	jacobsthal lucas	PERSON
ejpam-6191	40	9	mersenne lucas	PERSON
ejpam-6191	43	1	2	CARDINAL
ejpam-6191	43	2	euler	PERSON
ejpam-6191	45	1	2.1	CARDINAL
ejpam-6191	46	1	french	NORP
ejpam-6191	46	2	jacques philippe	PERSON
ejpam-6191	46	3	marie binet	PERSON
ejpam-6191	47	1	the 19th century	DATE
ejpam-6191	47	2	abraham de moivre	PERSON
ejpam-6191	47	3	the 18th century	DATE
ejpam-6191	48	1	second	ORDINAL
ejpam-6191	50	1	pel	ORG
ejpam-6191	50	2	pell-lucas	PERSON
ejpam-6191	50	3	mersenne-lucas	PERSON
ejpam-6191	52	1	1	CARDINAL
ejpam-6191	53	1	1 + √ 5 2	DATE
ejpam-6191	53	2	1− √ 5 2	DATE
ejpam-6191	56	1	n ≥ 1	DATE
ejpam-6191	56	2	2	CARDINAL
ejpam-6191	56	3	1	CARDINAL
ejpam-6191	59	1	m. manulat	PERSON
ejpam-6191	59	2	r. b.	PERSON
ejpam-6191	60	1	j. pure	PERSON
ejpam-6191	60	2	18	CARDINAL
ejpam-6191	60	3	3	CARDINAL
ejpam-6191	60	4	2025	CARDINAL
ejpam-6191	60	5	6191 4 of 21	DATE
ejpam-6191	60	6	+ 2pn	DATE
ejpam-6191	60	7	n ≥ 1	DATE
ejpam-6191	60	8	1	CARDINAL
ejpam-6191	61	1	1 + √ 2	DATE
ejpam-6191	61	2	1− √ 2	DATE
ejpam-6191	61	3	pell-lucas	PERSON
ejpam-6191	61	4	+2qn	DATE
ejpam-6191	61	5	n ≥ 1	DATE
ejpam-6191	61	6	2	CARDINAL
ejpam-6191	61	7	2	CARDINAL
ejpam-6191	62	1	2jn−1	CARDINAL
ejpam-6191	62	2	+ jn	PERSON
ejpam-6191	62	3	n ≥ 1	DATE
ejpam-6191	62	4	0	CARDINAL
ejpam-6191	62	5	1	CARDINAL
ejpam-6191	63	1	2	CARDINAL
ejpam-6191	63	2	−1	DATE
ejpam-6191	64	1	vi	PERSON
ejpam-6191	64	2	n ≥ 1	DATE
ejpam-6191	64	3	2	CARDINAL
ejpam-6191	64	4	1	CARDINAL
ejpam-6191	65	1	2	CARDINAL
ejpam-6191	65	2	−1	DATE
ejpam-6191	66	1	mn	GPE
ejpam-6191	67	1	2mn + 1	DATE
ejpam-6191	67	2	1	CARDINAL
ejpam-6191	68	1	mn	ORG
ejpam-6191	68	2	−1	DATE
ejpam-6191	69	1	3rn	ORDINAL
ejpam-6191	69	2	n ≥ 1	DATE
ejpam-6191	69	3	2	CARDINAL
ejpam-6191	69	4	3	CARDINAL
ejpam-6191	70	1	2	CARDINAL
ejpam-6191	70	2	1	CARDINAL
ejpam-6191	73	1	m. manulat	PERSON
ejpam-6191	73	2	r. b.	PERSON
ejpam-6191	74	1	j. pure	PERSON
ejpam-6191	74	2	18	CARDINAL
ejpam-6191	74	3	3	CARDINAL
ejpam-6191	74	4	2025	CARDINAL
ejpam-6191	74	5	6191 5	DATE
ejpam-6191	74	6	21 2.2	CARDINAL
ejpam-6191	75	1	euler	PERSON
ejpam-6191	75	2	euler	PERSON
ejpam-6191	77	1	2.1	CARDINAL
ejpam-6191	78	1	31	CARDINAL
ejpam-6191	79	1	n=0 anz	PERSON
ejpam-6191	81	1	euler	PERSON
ejpam-6191	81	2	1 1− z	QUANTITY
ejpam-6191	81	3	1 1− z	TIME
ejpam-6191	83	1	n=0	DATE
ejpam-6191	83	2	n∑ k=0	PERSON
ejpam-6191	83	3	n k ) ak	ORG
ejpam-6191	86	1	2.2	CARDINAL
ejpam-6191	88	1	n=0	DATE
ejpam-6191	88	2	n∑ k=0	PERSON
ejpam-6191	89	1	1 1−	QUANTITY
ejpam-6191	92	1	1−	TIME
ejpam-6191	93	1	euler	PERSON
ejpam-6191	94	1	2.3	CARDINAL
ejpam-6191	97	1	n∑ k=0	PERSON
ejpam-6191	98	1	second	ORDINAL
ejpam-6191	98	2	n∑ k=0	PERSON
ejpam-6191	100	1	m. manulat	PERSON
ejpam-6191	100	2	r. b.	PERSON
ejpam-6191	101	1	j. pure	PERSON
ejpam-6191	101	2	18	CARDINAL
ejpam-6191	101	3	3	CARDINAL
ejpam-6191	101	4	2025	CARDINAL
ejpam-6191	101	5	6191 6	DATE
ejpam-6191	101	6	s(m, k	ORG
ejpam-6191	101	7	k nonempty	ORG
ejpam-6191	102	1	•	CARDINAL
ejpam-6191	103	1	•	CARDINAL
ejpam-6191	103	2	1 +	DATE
ejpam-6191	106	1	3	CARDINAL
ejpam-6191	106	2	hyperharmonic	ORG
ejpam-6191	106	3	hyperharmonic	ORG
ejpam-6191	108	1	euler	PERSON
ejpam-6191	108	2	hyperharmonic	ORG
ejpam-6191	109	1	3.1	CARDINAL
ejpam-6191	111	1	n∑ k=0	PERSON
ejpam-6191	114	1	3.1	CARDINAL
ejpam-6191	116	1	n∑ k=0	PERSON
ejpam-6191	117	1	hyperharmonic	ORG
ejpam-6191	119	1	n=0 h(r	PERSON
ejpam-6191	120	1	− ln(1− z)]r+1 1− z	PERSON
ejpam-6191	121	1	s(z	PERSON
ejpam-6191	122	1	b)z n. k.	PERSON
ejpam-6191	123	1	m. manulat	PERSON
ejpam-6191	123	2	r. b.	PERSON
ejpam-6191	124	1	j. pure	PERSON
ejpam-6191	124	2	18	CARDINAL
ejpam-6191	124	3	3	CARDINAL
ejpam-6191	124	4	2025	CARDINAL
ejpam-6191	124	5	6191 7 of 21	DATE
ejpam-6191	124	6	euler	PERSON
ejpam-6191	124	7	s(z	PERSON
ejpam-6191	125	1	1 1− bz	QUANTITY
ejpam-6191	125	2	1− bz	PERSON
ejpam-6191	126	1	1 1− bz	QUANTITY
ejpam-6191	127	1	1− az 1−bz	PRODUCT
ejpam-6191	128	1	1−	CARDINAL
ejpam-6191	128	2	1−bz	CARDINAL
ejpam-6191	128	3	1−(a+b)z 1−bz	CARDINAL
ejpam-6191	129	1	1−	TIME
ejpam-6191	132	1	1−	TIME
ejpam-6191	133	1	s(z	PERSON
ejpam-6191	133	2	k=0	PERSON
ejpam-6191	135	1	k=0	PERSON
ejpam-6191	136	1	1−	TIME
ejpam-6191	136	2	1− bz	PRODUCT
ejpam-6191	136	3	1− bz	QUANTITY
ejpam-6191	137	1	hyperharmonic	ORG
ejpam-6191	137	2	s(z	PERSON
ejpam-6191	138	1	1− bz	QUANTITY
ejpam-6191	139	1	∞∑ n=0	PERSON
ejpam-6191	139	2	b)nh(k−1	PRODUCT
ejpam-6191	139	3	n=0	PERSON
ejpam-6191	139	4	1− bz	QUANTITY
ejpam-6191	140	1	j bn−jh	PERSON
ejpam-6191	140	2	1− bz	QUANTITY
ejpam-6191	140	3	∞∑ n=0	PERSON
ejpam-6191	140	4	k=0	PERSON
ejpam-6191	141	1	j bn−jh	PERSON
ejpam-6191	142	1	∞∑ n=0	PERSON
ejpam-6191	142	2	k=0	PERSON
ejpam-6191	142	3	j bn−jh	PERSON
ejpam-6191	142	4	k=0	PERSON
ejpam-6191	143	1	j bn−jh	PERSON
ejpam-6191	143	2	n−1−j 	DATE
ejpam-6191	144	1	zn	ORG
ejpam-6191	144	2	n∑ k=0	PERSON
ejpam-6191	145	1	k = r+1∑ k=0	PERSON
ejpam-6191	146	1	j bn−jh	PERSON
ejpam-6191	147	1	m. manulat	PERSON
ejpam-6191	147	2	r. b.	PERSON
ejpam-6191	148	1	j. pure	PERSON
ejpam-6191	148	2	18	CARDINAL
ejpam-6191	148	3	3	CARDINAL
ejpam-6191	148	4	2025	CARDINAL
ejpam-6191	148	5	6191 8	DATE
ejpam-6191	149	1	j bn−jh	PERSON
ejpam-6191	149	2	k=0	PERSON
ejpam-6191	150	1	j bn−jh	PERSON
ejpam-6191	151	1	j bn−jh	PERSON
ejpam-6191	151	2	n−1−j	DATE
ejpam-6191	153	1	n∑ k=0	PERSON
ejpam-6191	156	1	3.1	CARDINAL
ejpam-6191	157	1	pell-lucas	PERSON
ejpam-6191	157	2	mersenne-lucas	PERSON
ejpam-6191	159	1	3.2	CARDINAL
ejpam-6191	161	1	n∑ k=0	PERSON
ejpam-6191	164	1	n∑ k=0	PERSON
ejpam-6191	164	2	k = r+1∑ k=0	PERSON
ejpam-6191	167	1	1	CARDINAL
ejpam-6191	167	2	1	CARDINAL
ejpam-6191	167	3	3.1	CARDINAL
ejpam-6191	167	4	1+ √ 5 2	DATE
ejpam-6191	167	5	1− √ 5 2	DATE
ejpam-6191	168	1	m. manulat	PERSON
ejpam-6191	168	2	r. b.	PERSON
ejpam-6191	169	1	j. pure	PERSON
ejpam-6191	169	2	18	CARDINAL
ejpam-6191	169	3	3	CARDINAL
ejpam-6191	169	4	2025	CARDINAL
ejpam-6191	169	5	6191 9	DATE
ejpam-6191	169	6	21	CARDINAL
ejpam-6191	169	7	3.3	CARDINAL
ejpam-6191	171	1	n∑ k=0	PERSON
ejpam-6191	172	1	n∑ k=0	PERSON
ejpam-6191	172	2	−1)n−kl2kh	ORG
ejpam-6191	172	3	k = r+1∑ k=0	PERSON
ejpam-6191	174	1	3.1	CARDINAL
ejpam-6191	174	2	1+ √ 5 2	DATE
ejpam-6191	174	3	1− √ 5 2	DATE
ejpam-6191	174	4	3.4	CARDINAL
ejpam-6191	176	1	n∑ k=0	PERSON
ejpam-6191	178	1	k−1) j	ORG
ejpam-6191	180	1	n∑ k=0	PERSON
ejpam-6191	181	1	2kqkh	DATE
ejpam-6191	181	2	k = r+1∑ k=0	PERSON
ejpam-6191	184	1	2α	CARDINAL
ejpam-6191	184	2	1	CARDINAL
ejpam-6191	184	3	2β	CARDINAL
ejpam-6191	184	4	1	CARDINAL
ejpam-6191	184	5	3.1	CARDINAL
ejpam-6191	184	6	1 + √ 2	DATE
ejpam-6191	184	7	1− √ 2	DATE
ejpam-6191	184	8	2α+ 1	DATE
ejpam-6191	184	9	2β	CARDINAL
ejpam-6191	184	10	3.5	CARDINAL
ejpam-6191	186	1	n∑ k=0	PERSON
ejpam-6191	187	1	k = r+1∑ k=0	PERSON
ejpam-6191	190	1	m. manulat	PERSON
ejpam-6191	190	2	r. b.	PERSON
ejpam-6191	191	1	j. pure	PERSON
ejpam-6191	191	2	18	CARDINAL
ejpam-6191	191	3	3	CARDINAL
ejpam-6191	191	4	2025	CARDINAL
ejpam-6191	191	5	6191 10	DATE
ejpam-6191	195	1	3.1	CARDINAL
ejpam-6191	195	2	1 + √ 2	DATE
ejpam-6191	195	3	1− √ 2	DATE
ejpam-6191	195	4	2α+ 1	DATE
ejpam-6191	195	5	2β	CARDINAL
ejpam-6191	195	6	3.6	CARDINAL
ejpam-6191	197	1	n∑ k=0	PERSON
ejpam-6191	197	2	2n−kjkh	CARDINAL
ejpam-6191	197	3	k = r+1∑ k=0	PERSON
ejpam-6191	197	4	2n−jj2jh	CARDINAL
ejpam-6191	199	1	n∑ k=0	PERSON
ejpam-6191	199	2	2n−ktkh	CARDINAL
ejpam-6191	199	3	k = r+1∑ k=0	PERSON
ejpam-6191	200	1	2n−jt2jh	CARDINAL
ejpam-6191	202	1	2	CARDINAL
ejpam-6191	202	2	2	CARDINAL
ejpam-6191	202	3	3.1	CARDINAL
ejpam-6191	202	4	2	CARDINAL
ejpam-6191	202	5	−1	DATE
ejpam-6191	202	6	3.7	CARDINAL
ejpam-6191	204	1	n∑ k=0	PERSON
ejpam-6191	206	1	k−1) j [ h	ORG
ejpam-6191	207	1	n∑ k=0	PERSON
ejpam-6191	207	2	k = r+1∑ k=0	PERSON
ejpam-6191	209	1	α2;−2	ORG
ejpam-6191	209	2	β2;−2	ORG
ejpam-6191	209	3	3.1	CARDINAL
ejpam-6191	209	4	2	CARDINAL
ejpam-6191	209	5	−1	DATE
ejpam-6191	209	6	3.8	CARDINAL
ejpam-6191	210	1	mn	GPE
ejpam-6191	211	1	k. v. m. manulat	PERSON
ejpam-6191	211	2	r. b.	PERSON
ejpam-6191	212	1	j. pure	PERSON
ejpam-6191	212	2	18	CARDINAL
ejpam-6191	212	3	3	CARDINAL
ejpam-6191	212	4	2025	CARDINAL
ejpam-6191	212	5	6191 11	DATE
ejpam-6191	212	6	n∑ k=0	PERSON
ejpam-6191	212	7	3k(−2)n−kmkh	CARDINAL
ejpam-6191	212	8	k = r+1∑ k=0	PERSON
ejpam-6191	213	1	n∑ k=0	PERSON
ejpam-6191	213	2	3k(−2)n−krkh	CARDINAL
ejpam-6191	214	1	−2)n−jr2jh	GPE
ejpam-6191	216	1	3α;−2	CARDINAL
ejpam-6191	216	2	3β;−2	CARDINAL
ejpam-6191	216	3	3.1	CARDINAL
ejpam-6191	216	4	2	CARDINAL
ejpam-6191	216	5	1	CARDINAL
ejpam-6191	216	6	3α− 2	DATE
ejpam-6191	216	7	3β	CARDINAL
ejpam-6191	216	8	2	CARDINAL
ejpam-6191	216	9	3.9	CARDINAL
ejpam-6191	217	1	mn	GPE
ejpam-6191	218	1	n∑ k=0	PERSON
ejpam-6191	219	1	k = r+1∑ k=0	PERSON
ejpam-6191	219	2	2n−j3jmjh	CARDINAL
ejpam-6191	221	1	n∑ k=0	PERSON
ejpam-6191	221	2	k = r+1∑ k=0	PERSON
ejpam-6191	222	1	2n−j3jrjh	CARDINAL
ejpam-6191	225	1	2	CARDINAL
ejpam-6191	225	2	2	CARDINAL
ejpam-6191	225	3	3.1	CARDINAL
ejpam-6191	225	4	2	CARDINAL
ejpam-6191	225	5	1	CARDINAL
ejpam-6191	225	6	3α− 2	DATE
ejpam-6191	225	7	3β	CARDINAL
ejpam-6191	225	8	2	CARDINAL
ejpam-6191	226	1	hyperharmonic	ORG
ejpam-6191	227	1	3.10	CARDINAL
ejpam-6191	229	1	n∑ k=0	PERSON
ejpam-6191	229	2	k = r+1∑ k=0	PERSON
ejpam-6191	232	1	3.2	CARDINAL
ejpam-6191	233	1	m. manulat	PERSON
ejpam-6191	233	2	r. b.	PERSON
ejpam-6191	234	1	j. pure	PERSON
ejpam-6191	234	2	18	CARDINAL
ejpam-6191	234	3	3	CARDINAL
ejpam-6191	234	4	2025	CARDINAL
ejpam-6191	234	5	6191 12	DATE
ejpam-6191	234	6	21	CARDINAL
ejpam-6191	235	1	1	CARDINAL
ejpam-6191	235	2	4.1	CARDINAL
ejpam-6191	235	3	n∑ k=0	PERSON
ejpam-6191	236	1	k = r+1∑ k=0	PERSON
ejpam-6191	238	1	n∑ k=0	PERSON
ejpam-6191	238	2	akh	PERSON
ejpam-6191	239	1	1)jh	CARDINAL
ejpam-6191	241	1	n∑ k=0	PERSON
ejpam-6191	241	2	akh	PERSON
ejpam-6191	243	1	1)jh	CARDINAL
ejpam-6191	244	1	n∑ k=0	PERSON
ejpam-6191	247	1	n∑ k=0	PERSON
ejpam-6191	247	2	k = r+1∑ k=0	PERSON
ejpam-6191	251	1	3.11	CARDINAL
ejpam-6191	253	1	k. v. m. manulat	PERSON
ejpam-6191	253	2	r. b.	PERSON
ejpam-6191	254	1	j. pure	PERSON
ejpam-6191	254	2	18	CARDINAL
ejpam-6191	254	3	3	CARDINAL
ejpam-6191	254	4	2025	CARDINAL
ejpam-6191	254	5	6191 13	DATE
ejpam-6191	254	6	n∑ k=0	PERSON
ejpam-6191	256	1	n∑ k=0	PERSON
ejpam-6191	256	2	k = r+1∑ k=0	PERSON
ejpam-6191	260	1	1	CARDINAL
ejpam-6191	260	2	1	CARDINAL
ejpam-6191	260	3	3.2	CARDINAL
ejpam-6191	261	1	3.12	CARDINAL
ejpam-6191	262	1	n ≥ 1	DATE
ejpam-6191	263	1	n∑ k=0	PERSON
ejpam-6191	263	2	k = r+1∑ k=0	PERSON
ejpam-6191	265	1	n∑ k=0	PERSON
ejpam-6191	270	1	a;m	ORG
ejpam-6191	270	2	2	CARDINAL
ejpam-6191	270	3	2	CARDINAL
ejpam-6191	270	4	3.2	CARDINAL
ejpam-6191	270	5	4	CARDINAL
ejpam-6191	270	6	euler	PERSON
ejpam-6191	270	7	hyperharmonic	ORG
ejpam-6191	271	1	4.1	CARDINAL
ejpam-6191	272	1	j∑ k=0	PERSON
ejpam-6191	272	2	j−k∑ m=0 ∑	PERSON
ejpam-6191	272	3	1	CARDINAL
ejpam-6191	274	1	1	CARDINAL
ejpam-6191	274	2	4.1	CARDINAL
ejpam-6191	276	1	1− z)r	CARDINAL
ejpam-6191	278	1	m. manulat	PERSON
ejpam-6191	278	2	r. b.	PERSON
ejpam-6191	279	1	j. pure	PERSON
ejpam-6191	279	2	18	CARDINAL
ejpam-6191	279	3	3	CARDINAL
ejpam-6191	279	4	2025	CARDINAL
ejpam-6191	279	5	6191 14 of 21	DATE
ejpam-6191	279	6	euler	PERSON
ejpam-6191	279	7	n∑ k=1	PERSON
ejpam-6191	280	1	1 1− bz 	QUANTITY
ejpam-6191	280	2	1− az 1−bz	PRODUCT
ejpam-6191	280	3	1 1− bz	QUANTITY
ejpam-6191	280	4	1 1− az 1−bz	QUANTITY
ejpam-6191	280	5	1− bz	PRODUCT
ejpam-6191	281	1	4.2	CARDINAL
ejpam-6191	281	2	1 1− bz	QUANTITY
ejpam-6191	281	3	1 1− az 1−bz	QUANTITY
ejpam-6191	281	4	1− bz	PRODUCT
ejpam-6191	282	1	1 1−bz	CARDINAL
ejpam-6191	283	1	1 1−bz	CARDINAL
ejpam-6191	283	2	1 1− bz	QUANTITY
ejpam-6191	284	1	|bz|	GPE
ejpam-6191	284	2	1	CARDINAL
ejpam-6191	285	1	1 1− az 1−bz	QUANTITY
ejpam-6191	286	1	first	ORDINAL
ejpam-6191	286	2	1− az 1−	PRODUCT
ejpam-6191	291	1	1− bz)− az	TIME
ejpam-6191	291	2	1− bz	PRODUCT
ejpam-6191	292	1	newton	GPE
ejpam-6191	292	2	1−	TIME
ejpam-6191	293	1	|x| < 1	PERSON
ejpam-6191	293	2	1−	TIME
ejpam-6191	295	1	1	CARDINAL
ejpam-6191	295	2	xm	ORG
ejpam-6191	296	1	1−bz	CARDINAL
ejpam-6191	298	1	1	CARDINAL
ejpam-6191	298	2	1− bz	PERSON
ejpam-6191	299	1	1	CARDINAL
ejpam-6191	300	1	1−	CARDINAL
ejpam-6191	300	2	k. v. m. manulat	PERSON
ejpam-6191	300	3	r. b.	PERSON
ejpam-6191	301	1	j. pure	PERSON
ejpam-6191	301	2	18	CARDINAL
ejpam-6191	301	3	3	CARDINAL
ejpam-6191	301	4	2025	CARDINAL
ejpam-6191	301	5	6191 15 of 21	DATE
ejpam-6191	301	6	1−	CARDINAL
ejpam-6191	302	1	1	CARDINAL
ejpam-6191	303	1	∞∑ m=0 ∞∑ j=0	PERSON
ejpam-6191	303	2	1	CARDINAL
ejpam-6191	305	1	lir(x	PERSON
ejpam-6191	308	1	az 1−bz	PERSON
ejpam-6191	308	2	1− bz	PRODUCT
ejpam-6191	310	1	1− bz)nnr	DATE
ejpam-6191	311	1	1−	CARDINAL
ejpam-6191	311	2	1−	CARDINAL
ejpam-6191	313	1	1	CARDINAL
ejpam-6191	314	1	1− bz	PRODUCT
ejpam-6191	316	1	1	CARDINAL
ejpam-6191	318	1	1	CARDINAL
ejpam-6191	320	1	m. manulat	PERSON
ejpam-6191	320	2	r. b.	PERSON
ejpam-6191	321	1	j. pure	PERSON
ejpam-6191	321	2	18	CARDINAL
ejpam-6191	321	3	3	CARDINAL
ejpam-6191	321	4	2025	CARDINAL
ejpam-6191	321	5	6191 16 of 21	DATE
ejpam-6191	322	1	∞∑	PERSON
ejpam-6191	323	1		GPE
ejpam-6191	323	2	1	CARDINAL
ejpam-6191	323	3	4.3	CARDINAL
ejpam-6191	324	1	1	CARDINAL
ejpam-6191	324	2	zn+p 	DATE
ejpam-6191	325	1	4.4	CARDINAL
ejpam-6191	326	1	1 1− bz b(z	QUANTITY
ejpam-6191	327	1	1	CARDINAL
ejpam-6191	327	2	ambjzm+j c(z	PERSON
ejpam-6191	328	1	1	CARDINAL
ejpam-6191	328	2	zt+p	PERSON
ejpam-6191	329	1	b(z	ORG
ejpam-6191	330	1	1	CARDINAL
ejpam-6191	330	2	a(z)b(z	PERSON
ejpam-6191	331	1	n=0	DATE
ejpam-6191	331	2	n∑ k=0	PERSON
ejpam-6191	332	1	a(z)b(z	PERSON
ejpam-6191	333	1	n=0	DATE
ejpam-6191	333	2	n∑ k=0	PERSON
ejpam-6191	333	3	∑ m+j=	PERSON
ejpam-6191	333	4	1	CARDINAL
ejpam-6191	333	5	k ⇒ j	PERSON
ejpam-6191	334	1	a(z)b(z	PERSON
ejpam-6191	335	1	n=0	DATE
ejpam-6191	335	2	n∑ k=0	PERSON
ejpam-6191	335	3	1	CARDINAL
ejpam-6191	335	4	m+	CARDINAL
ejpam-6191	336	1	n−	ORG
ejpam-6191	336	2	1	CARDINAL
ejpam-6191	337	1	k. v. m. manulat	PERSON
ejpam-6191	337	2	r. b.	PERSON
ejpam-6191	338	1	j. pure	PERSON
ejpam-6191	338	2	18	CARDINAL
ejpam-6191	338	3	3	CARDINAL
ejpam-6191	338	4	2025	CARDINAL
ejpam-6191	338	5	6191 17	DATE
ejpam-6191	338	6	21	CARDINAL
ejpam-6191	338	7	n=0	DATE
ejpam-6191	338	8	n∑ k=0	PERSON
ejpam-6191	338	9	1	CARDINAL
ejpam-6191	338	10	m+	CARDINAL
ejpam-6191	339	1	n−	ORG
ejpam-6191	339	2	1	CARDINAL
ejpam-6191	339	3	a(z)b(z)c(z	PERSON
ejpam-6191	340	1	n=0	DATE
ejpam-6191	340	2	n∑ k=0	PERSON
ejpam-6191	340	3	1	CARDINAL
ejpam-6191	340	4	n∑ k=0	PERSON
ejpam-6191	340	5	1	CARDINAL
ejpam-6191	340	6	a(z)b(z	PERSON
ejpam-6191	341	1	n=0	DATE
ejpam-6191	341	2	1	CARDINAL
ejpam-6191	341	3	c(z	PERSON
ejpam-6191	342	1	a(z)b(z)c(z	PERSON
ejpam-6191	343	1	n=0 cnz n	PERSON
ejpam-6191	343	2	j∑ k=0	PERSON
ejpam-6191	343	3	1	CARDINAL
ejpam-6191	345	1	1	CARDINAL
ejpam-6191	345	2	k. v. m. manulat	PERSON
ejpam-6191	345	3	r. b.	PERSON
ejpam-6191	346	1	j. pure	PERSON
ejpam-6191	346	2	18	CARDINAL
ejpam-6191	346	3	3	CARDINAL
ejpam-6191	346	4	2025	CARDINAL
ejpam-6191	346	5	6191 18 of 21	DATE
ejpam-6191	346	6	a(z)b(z)c(z	PERSON
ejpam-6191	347	1	n=0	DATE
ejpam-6191	347	2	j∑ k=0	PERSON
ejpam-6191	347	3	j−k∑ m=0 ∑	PERSON
ejpam-6191	347	4	1	CARDINAL
ejpam-6191	349	1	1	CARDINAL
ejpam-6191	349	2	4.5	CARDINAL
ejpam-6191	349	3	4.5	CARDINAL
ejpam-6191	351	1	4.6	CARDINAL
ejpam-6191	351	2	j∑ k=0	PERSON
ejpam-6191	351	3	j−k∑ m=0 ∑	PERSON
ejpam-6191	351	4	1	CARDINAL
ejpam-6191	351	5	1	CARDINAL
ejpam-6191	351	6	zn	ORG
ejpam-6191	351	7	j∑ k=0	PERSON
ejpam-6191	351	8	j−k∑ m=0 ∑	PERSON
ejpam-6191	351	9	1	CARDINAL
ejpam-6191	353	1	1	CARDINAL
ejpam-6191	354	1	5.	CARDINAL
ejpam-6191	354	2	hyperharmonic	ORG
ejpam-6191	354	3	n∑ k=0	PERSON
ejpam-6191	354	4	euler	PERSON
ejpam-6191	357	1	m. manulat	PERSON
ejpam-6191	357	2	r. b.	PERSON
ejpam-6191	358	1	j. pure	PERSON
ejpam-6191	358	2	18	CARDINAL
ejpam-6191	358	3	3	CARDINAL
ejpam-6191	358	4	2025	CARDINAL
ejpam-6191	358	5	6191 19	DATE
ejpam-6191	358	6	hyperharmonic	ORG
ejpam-6191	358	7	1− z)r	CARDINAL
ejpam-6191	358	8	li1(z	NORP
ejpam-6191	360	1	1	CARDINAL
ejpam-6191	361	1	hyperharmonic	ORG
ejpam-6191	363	1	lis(z	PERSON
ejpam-6191	363	2	1	CARDINAL
ejpam-6191	363	3	hyperharmonic	ORG
ejpam-6191	364	1	hyperharmonic	ORG
ejpam-6191	367	1	hyperharmonic	ORG
ejpam-6191	368	1	1	CARDINAL
ejpam-6191	368	2	m. bahazsi	PERSON
ejpam-6191	368	3	s. solak	PERSON
ejpam-6191	368	4	hyperharmonic	ORG
ejpam-6191	369	1	j. math	PERSON
ejpam-6191	371	1	42	CARDINAL
ejpam-6191	371	2	2013	DATE
ejpam-6191	371	3	387	CARDINAL
ejpam-6191	372	1	2	CARDINAL
ejpam-6191	372	2	a.t. benjamin	PERSON
ejpam-6191	372	3	d. gaebler	PERSON
ejpam-6191	372	4	r. gaebler	PERSON
ejpam-6191	372	5	hyperharmonic	ORG
ejpam-6191	373	1	j. combin	PERSON
ejpam-6191	374	1	3	CARDINAL
ejpam-6191	374	2	2003	DATE
ejpam-6191	374	3	1	CARDINAL
ejpam-6191	375	1	3	CARDINAL
ejpam-6191	375	2	k. n. boyadzhiev	PERSON
ejpam-6191	375	3	euler	PERSON
ejpam-6191	376	1	j. integer	PERSON
ejpam-6191	376	2	12(2009	CARDINAL
ejpam-6191	376	3	article 09.6.1	LAW
ejpam-6191	377	1	4	CARDINAL
ejpam-6191	377	2	annales mathematicae	ORG
ejpam-6191	378	1	2016	CARDINAL
ejpam-6191	378	2	37	CARDINAL
ejpam-6191	380	1	m. manulat	PERSON
ejpam-6191	380	2	r. b.	PERSON
ejpam-6191	381	1	j. pure	PERSON
ejpam-6191	381	2	18	CARDINAL
ejpam-6191	381	3	3	CARDINAL
ejpam-6191	381	4	2025	CARDINAL
ejpam-6191	381	5	6191 20 of 21	DATE
ejpam-6191	382	1	5	CARDINAL
ejpam-6191	382	2	j. l. cereceda	PERSON
ejpam-6191	382	3	hyperharmonic	ORG
ejpam-6191	382	4	internat	PERSON
ejpam-6191	383	1	j. math	PERSON
ejpam-6191	384	1	ed	PERSON
ejpam-6191	385	1	sci. tech.	ORG
ejpam-6191	385	2	46(2015	DATE
ejpam-6191	385	3	461	CARDINAL
ejpam-6191	386	1	6	CARDINAL
ejpam-6191	386	2	j. l. cereceda	PERSON
ejpam-6191	386	3	hyperharmonic	ORG
ejpam-6191	388	1	2021	CARDINAL
ejpam-6191	388	2	101	CARDINAL
ejpam-6191	389	1	7	CARDINAL
ejpam-6191	389	2	j. choi	PERSON
ejpam-6191	390	1	comput	PERSON
ejpam-6191	390	2	218(2011),734-740	CARDINAL
ejpam-6191	391	1	8	CARDINAL
ejpam-6191	391	2	j. choi	PERSON
ejpam-6191	391	3	h.m. srivastava	ORG
ejpam-6191	392	1	54	DATE
ejpam-6191	392	2	2011	DATE
ejpam-6191	392	3	2220	CARDINAL
ejpam-6191	392	4	9	CARDINAL
ejpam-6191	392	5	conway	GPE
ejpam-6191	392	6	r.k.	GPE
ejpam-6191	393	1	copernicus	ORG
ejpam-6191	394	1	new york	GPE
ejpam-6191	394	2	1996	DATE
ejpam-6191	395	1	10	CARDINAL
ejpam-6191	395	2	m. c. daglia	PERSON
ejpam-6191	395	3	f. qib	PERSON
ejpam-6191	395	4	5	CARDINAL
ejpam-6191	395	5	2022	CARDINAL
ejpam-6191	395	6	2, 185190	DATE
ejpam-6191	396	1	11	CARDINAL
ejpam-6191	396	2	a. dil	PERSON
ejpam-6191	396	3	k. boyadzhiev	PERSON
ejpam-6191	396	4	hyperharmonic	ORG
ejpam-6191	397	1	arxiv:1209.0604, 2013	DATE
ejpam-6191	398	1	12	CARDINAL
ejpam-6191	398	2	a. dil	PERSON
ejpam-6191	398	3	i. mezö	PERSON
ejpam-6191	398	4	m. cenkci	PERSON
ejpam-6191	398	5	euler	PERSON
ejpam-6191	398	6	hurwitz zeta	ORG
ejpam-6191	399	1	turkish	NORP
ejpam-6191	399	2	41(6	CARDINAL
ejpam-6191	399	3	2017	CARDINAL
ejpam-6191	399	4	1640-1655	DATE
ejpam-6191	400	1	13	CARDINAL
ejpam-6191	400	2	a. duran	PERSON
ejpam-6191	400	3	n. ömür	ORG
ejpam-6191	400	4	s. koparal	PERSON
ejpam-6191	400	5	hyperharmonic	ORG
ejpam-6191	401	1	21(2	CARDINAL
ejpam-6191	401	2	2020	DATE
ejpam-6191	401	3	791	CARDINAL
ejpam-6191	402	1	14	CARDINAL
ejpam-6191	402	2	euler	PERSON
ejpam-6191	403	1	integer sequences	ORG
ejpam-6191	403	2	23	CARDINAL
ejpam-6191	403	3	2020	DATE
ejpam-6191	403	4	article 20.3.2	LAW
ejpam-6191	404	1	15	CARDINAL
ejpam-6191	404	2	e. gokcen kocer	PERSON
ejpam-6191	404	3	pell-lucas	PERSON
ejpam-6191	404	4	85	DATE
ejpam-6191	404	5	2007	DATE
ejpam-6191	405	1	3	CARDINAL
ejpam-6191	406	1	16	CARDINAL
ejpam-6191	407	1	guo	PERSON
ejpam-6191	407	2	f. qi	PERSON
ejpam-6191	407	3	2014	DATE
ejpam-6191	407	4	201208	DATE
ejpam-6191	407	5	https://doi.org/10.1515/anly-20140001	DATE
ejpam-6191	408	1	17	CARDINAL
ejpam-6191	408	2	d. guo	PERSON
ejpam-6191	408	3	w. chu	PERSON
ejpam-6191	409	1	15(1	CARDINAL
ejpam-6191	409	2	2021	CARDINAL
ejpam-6191	409	3	201	CARDINAL
ejpam-6191	410	1	18	CARDINAL
ejpam-6191	410	2	a. f. horadam	PERSON
ejpam-6191	410	3	university of new england	ORG
ejpam-6191	410	4	armidale	ORG
ejpam-6191	410	5	2351	DATE
ejpam-6191	410	6	australia	GPE
ejpam-6191	411	1	19	CARDINAL
ejpam-6191	411	2	k. kamano	PERSON
ejpam-6191	411	3	dirichlet	PERSON
ejpam-6191	411	4	hyperharmonic	ORG
ejpam-6191	412	1	osaka inst	PERSON
ejpam-6191	412	2	ser	PERSON
ejpam-6191	413	1	2011	DATE
ejpam-6191	413	2	11	CARDINAL
ejpam-6191	414	1	20	CARDINAL
ejpam-6191	414	2	knuth	ORG
ejpam-6191	416	1	1-3	CARDINAL
ejpam-6191	416	2	mass.	GPE
ejpam-6191	416	3	1968	DATE
ejpam-6191	417	1	21	CARDINAL
ejpam-6191	417	2	s. koparal	PERSON
ejpam-6191	418	1	al.	PERSON
ejpam-6191	418	2	hyperharmonic	ORG
ejpam-6191	418	3	2023	CARDINAL
ejpam-6191	418	4	804-812	CARDINAL
ejpam-6191	419	1	22	CARDINAL
ejpam-6191	419	2	r. li	PERSON
ejpam-6191	419	3	euler	PERSON
ejpam-6191	420	1	2020	DATE
ejpam-6191	421	1	23	CARDINAL
ejpam-6191	421	2	d. mahajan	PERSON
ejpam-6191	421	3	10(2014	CARDINAL
ejpam-6191	421	4	14	CARDINAL
ejpam-6191	422	1	24	CARDINAL
ejpam-6191	422	2	binayak padhy	PERSON
ejpam-6191	422	3	pell-lucas	PERSON
ejpam-6191	422	4	e-issn	ORG
ejpam-6191	422	5	2278-5728	ORG
ejpam-6191	422	6	2319-765x	QUANTITY
ejpam-6191	423	1	19	CARDINAL
ejpam-6191	423	2	2	CARDINAL
ejpam-6191	424	1	2023	CARDINAL
ejpam-6191	424	2	28	CARDINAL
ejpam-6191	424	3	25	CARDINAL
ejpam-6191	424	4	m. narayan murty	PERSON
ejpam-6191	424	5	k. v. m. manulat	PERSON
ejpam-6191	424	6	r. b.	PERSON
ejpam-6191	425	1	j. pure	PERSON
ejpam-6191	425	2	18	CARDINAL
ejpam-6191	425	3	3	CARDINAL
ejpam-6191	425	4	2025	CARDINAL
ejpam-6191	425	5	6191 21	DATE
ejpam-6191	425	6	21	CARDINAL
ejpam-6191	426	1	2278-5728	ORG
ejpam-6191	426	2	2319-765x	QUANTITY
ejpam-6191	427	1	18	CARDINAL
ejpam-6191	427	2	3	CARDINAL
ejpam-6191	428	1	june	DATE
ejpam-6191	428	2	2022	CARDINAL
ejpam-6191	428	3	55-67	CARDINAL
ejpam-6191	429	1	26	CARDINAL
ejpam-6191	429	2	2018	DATE
ejpam-6191	430	1	hyperharmonic	ORG
ejpam-6191	430	2	n. advances	PERSON
ejpam-6191	430	3	17(9	CARDINAL
ejpam-6191	430	4	617-627	CARDINAL
ejpam-6191	431	1	27	CARDINAL
ejpam-6191	431	2	s. koparal	PERSON
ejpam-6191	431	3	2018	DATE
ejpam-6191	432	1	hyperharmonic	ORG
ejpam-6191	432	2	r. asian-european	PERSON
ejpam-6191	432	3	11(3	CARDINAL
ejpam-6191	432	4	1850045	DATE
ejpam-6191	433	1	28	CARDINAL
ejpam-6191	433	2	euler	PERSON
ejpam-6191	435	1	29(4	CARDINAL
ejpam-6191	435	2	2023	CARDINAL
ejpam-6191	435	3	695	CARDINAL
ejpam-6191	436	1	29	CARDINAL
ejpam-6191	436	2	mersenne-lucas	PERSON
ejpam-6191	436	3	mathematica montisnigri	PERSON
ejpam-6191	437	1	30	CARDINAL
ejpam-6191	437	2	a. singh	PERSON
ejpam-6191	437	3	euler	PERSON
ejpam-6191	437	4	07	CARDINAL
ejpam-6191	437	5	31	CARDINAL
ejpam-6191	437	6	j. sondow	PERSON
ejpam-6191	437	7	riemann zeta function	ORG
ejpam-6191	437	8	euler	PERSON
ejpam-6191	438	1	amer	PERSON
ejpam-6191	439	1	120	CARDINAL
ejpam-6191	439	2	1994	DATE
ejpam-6191	439	3	421	CARDINAL
ejpam-6191	439	4	424	CARDINAL
ejpam-6191	440	1	32	CARDINAL
ejpam-6191	440	2	10.37591	CARDINAL
ejpam-6191	441	1	33	CARDINAL
ejpam-6191	441	2	1(2018	DATE
ejpam-6191	441	3	4	CARDINAL
ejpam-6191	442	1	34	CARDINAL
ejpam-6191	442	2	ce xu	PERSON
ejpam-6191	442	3	euler	PERSON
ejpam-6191	442	4	generalized hyperharmonic	ORG
ejpam-6191	443	1	2017	DATE
ejpam-6191	444	1	35	CARDINAL
ejpam-6191	444	2	d. a. zave	PERSON
ejpam-6191	446	1	5	CARDINAL
ejpam-6191	446	2	1976	DATE
ejpam-6191	446	3	75-77	CARDINAL