id	sid	eid	entity	type
ma-227	1	1	2024	CARDINAL
ma-227	2	1	j. math	PERSON
ma-227	4	1	4 (2024	CARDINAL
ma-227	4	2	15doi	CARDINAL
ma-227	4	3	10.28924	CARDINAL
ma-227	4	4	riemann	PERSON
ma-227	4	5	half	CARDINAL
ma-227	4	6	ali darya1,∗	PERSON
ma-227	5	1	1faculty	CARDINAL
ma-227	5	2	university of guilan	ORG
ma-227	5	3	19141	DATE
ma-227	5	4	alidarya@phd.guilan.ac.ir 2faculty	PERSON
ma-227	5	5	university of guilan	ORG
ma-227	5	6	19141	DATE
ma-227	5	7	alidarya@phd.guilan.ac.ir	PERSON
ma-227	6	1	riemann	PERSON
ma-227	6	2	half	CARDINAL
ma-227	7	1	first	ORDINAL
ma-227	7	2	half	CARDINAL
ma-227	7	3	half	CARDINAL
ma-227	9	1	riemann	PERSON
ma-227	11	1	1	CARDINAL
ma-227	17	1	13 feb 2024	DATE
ma-227	19	1	riemann	PERSON
ma-227	19	2	dirichlet	PERSON
ma-227	19	3	half	CARDINAL
ma-227	19	4	disc.1	GPE
ma-227	19	5	https://adac.ee	GPE
ma-227	20	1	j. math	PERSON
ma-227	22	1	10.28924	CARDINAL
ma-227	22	2	riemann	PERSON
ma-227	27	1	1–16	CARDINAL
ma-227	28	1	the year 2009	DATE
ma-227	28	2	half	CARDINAL
ma-227	28	3	h. begehr	PERSON
ma-227	29	1	2].in 2012	DATE
ma-227	29	2	y. wang	PERSON
ma-227	29	3	half	CARDINAL
ma-227	29	4	16].in	CARDINAL
ma-227	29	5	half	CARDINAL
ma-227	31	1	riemann	PERSON
ma-227	31	2	the half	DATE
ma-227	31	3	half	CARDINAL
ma-227	33	1	1	CARDINAL
ma-227	33	2	imz	ORG
ma-227	34	1	1	CARDINAL
ma-227	35	1	1	CARDINAL
ma-227	36	1	1	CARDINAL
ma-227	36	2	1.	CARDINAL
ma-227	36	3	half	CARDINAL
ma-227	37	1	j. math	PERSON
ma-227	39	1	10.28924	CARDINAL
ma-227	39	2	3now	CARDINAL
ma-227	40	1	1 2	CARDINAL
ma-227	41	1	1 2	CARDINAL
ma-227	43	1	ω	ORG
ma-227	43	2	u(x	ORG
ma-227	44	1	two	CARDINAL
ma-227	44	2	1.1	CARDINAL
ma-227	45	1	1.2	CARDINAL
ma-227	45	2	riemann	PERSON
ma-227	46	1	1.2	CARDINAL
ma-227	48	1	0	CARDINAL
ma-227	49	1	1.1	CARDINAL
ma-227	49	2	1.3	CARDINAL
ma-227	51	1	0	CARDINAL
ma-227	52	1	1 2	CARDINAL
ma-227	54	1	0	CARDINAL
ma-227	55	1	riemann	PERSON
ma-227	60	1	1	CARDINAL
ma-227	60	2	dξdη	GPE
ma-227	60	3	2	CARDINAL
ma-227	61	1	14	CARDINAL
ma-227	62	1	2	CARDINAL
ma-227	62	2	half	CARDINAL
ma-227	65	1	three	CARDINAL
ma-227	72	1	j. math	PERSON
ma-227	74	1	10.28924	CARDINAL
ma-227	74	2	4reflecting	CARDINAL
ma-227	75	1	1⇒	CARDINAL
ma-227	75	2	1⇒	CARDINAL
ma-227	75	3	1 z̄	DATE
ma-227	76	1	z̄	TIME
ma-227	77	1	z∗1	ORG
ma-227	77	2	1 z̄	DATE
ma-227	77	3	1 z	CARDINAL
ma-227	77	4	z̄	TIME
ma-227	79	1	important.now	DATE
ma-227	79	2	half	CARDINAL
ma-227	80	1	2.1	CARDINAL
ma-227	81	1	ω ∈ c1(m;c	ORG
ma-227	81	2	ω(z	PERSON
ma-227	81	3	1 2πi	CARDINAL
ma-227	81	4	1	CARDINAL
ma-227	82	1	1	CARDINAL
ma-227	82	2	1	CARDINAL
ma-227	83	1	2.1	CARDINAL
ma-227	87	1	3	CARDINAL
ma-227	87	2	1 2πi	CARDINAL
ma-227	89	1	1	CARDINAL
ma-227	89	2	dξdη	PERSON
ma-227	89	3	ω(z	PERSON
ma-227	89	4	2.2	CARDINAL
ma-227	90	1	2.2	CARDINAL
ma-227	90	2	1 2πi	CARDINAL
ma-227	93	1	1	CARDINAL
ma-227	93	2	dξdη	PERSON
ma-227	94	1	2.3	CARDINAL
ma-227	95	1	1	CARDINAL
ma-227	95	2	2πi	ORDINAL
ma-227	96	1	1	CARDINAL
ma-227	96	2	1	CARDINAL
ma-227	97	1	2.4	CARDINAL
ma-227	98	1	2.1	CARDINAL
ma-227	98	2	riemann	PERSON
ma-227	99	1	3	CARDINAL
ma-227	99	2	dirichlet	PERSON
ma-227	99	3	riemann	PERSON
ma-227	99	4	riemann	PERSON
ma-227	100	1	riemann	PERSON
ma-227	102	1	j. math	PERSON
ma-227	104	1	10.28924	CARDINAL
ma-227	104	2	5	CARDINAL
ma-227	104	3	3.1	CARDINAL
ma-227	105	1	dirichlet	PERSON
ma-227	105	2	riemann equation	PERSON
ma-227	105	3	0	CARDINAL
ma-227	105	4	γ ∈ c(∂m;c	GPE
ma-227	105	5	3.1	CARDINAL
ma-227	105	6	γ ∈ c(∂m;c	ORG
ma-227	105	7	0	CARDINAL
ma-227	105	8	1	CARDINAL
ma-227	105	9	2πi	ORDINAL
ma-227	106	1	1	CARDINAL
ma-227	106	2	0	CARDINAL
ma-227	106	3	3.2	CARDINAL
ma-227	106	4	ω(z	PERSON
ma-227	106	5	1 2πi	CARDINAL
ma-227	106	6	1	CARDINAL
ma-227	107	1	3.3	CARDINAL
ma-227	108	1	3.3	CARDINAL
ma-227	109	1	ω(z	PERSON
ma-227	109	2	3.4	CARDINAL
ma-227	110	1	1 2πi	CARDINAL
ma-227	111	1	1	CARDINAL
ma-227	111	2	3.5	CARDINAL
ma-227	111	3	1 2πi	CARDINAL
ma-227	111	4	1	CARDINAL
ma-227	112	1	1 2πi	CARDINAL
ma-227	112	2	1	CARDINAL
ma-227	112	3	1 2πi	CARDINAL
ma-227	112	4	1	CARDINAL
ma-227	114	1	1 2πi	CARDINAL
ma-227	114	2	∂m∩d γ(t	PERSON
ma-227	116	1	t̄	GPE
ma-227	119	1	+ 1	DATE
ma-227	119	2	2πi	ORDINAL
ma-227	119	3	1	CARDINAL
ma-227	119	4	1	CARDINAL
ma-227	119	5	1	CARDINAL
ma-227	119	6	1 2πi	CARDINAL
ma-227	120	1	∂m∩d γ(t	PERSON
ma-227	120	2	1− |z |2	DATE
ma-227	121	1	1− |z |2	DATE
ma-227	121	2	|t̄	DATE
ma-227	121	3	+ 1	DATE
ma-227	121	4	2πi	ORDINAL
ma-227	121	5	1	CARDINAL
ma-227	123	1	|1− zs|2	PERSON
ma-227	125	1	1	CARDINAL
ma-227	125	2	imt0	ORG
ma-227	125	3	0	CARDINAL
ma-227	126	1	|t̄ − t0|2	ORG
ma-227	126	2	1−	TIME
ma-227	127	1	lim z→t	PERSON
ma-227	127	2	1	CARDINAL
ma-227	127	3	0	CARDINAL
ma-227	128	1	|t̄ − t0|	DATE
ma-227	128	2	6=	DATE
ma-227	128	3	0	CARDINAL
ma-227	129	1	lim z→t	PERSON
ma-227	132	1	1 2πi	CARDINAL
ma-227	132	2	∂m∩d γ(t	PERSON
ma-227	137	1	j. math	PERSON
ma-227	139	1	10.28924	CARDINAL
ma-227	139	2	1 2πi	CARDINAL
ma-227	139	3	∂m∩d γ(t	PERSON
ma-227	143	1	2πi	ORDINAL
ma-227	144	1	∂m∩d γ(t	PERSON
ma-227	147	1	1 2πi	CARDINAL
ma-227	147	2	∂m∩d γ(t	PERSON
ma-227	150	1	2πi	ORDINAL
ma-227	152	1	1 2πi	CARDINAL
ma-227	152	2	∂m∩d υ(t	PERSON
ma-227	154	1	υ(t	PERSON
ma-227	155	1	imz	ORG
ma-227	155	2	2,3	CARDINAL
ma-227	156	1	υ(t	PERSON
ma-227	158	1	0	CARDINAL
ma-227	158	2	±1	PERSON
ma-227	159	1	half	CARDINAL
ma-227	159	2	2	CARDINAL
ma-227	161	1	3.6	CARDINAL
ma-227	161	2	3.4	CARDINAL
ma-227	161	3	3.6	CARDINAL
ma-227	161	4	lim z→t h(z	PERSON
ma-227	162	1	0	CARDINAL
ma-227	162	2	∈	ORG
ma-227	164	1	3.2	CARDINAL
ma-227	165	1	3.2	CARDINAL
ma-227	165	2	ω	ORG
ma-227	165	3	ω(z	PERSON
ma-227	166	1	1 2πi	CARDINAL
ma-227	166	2	1	CARDINAL
ma-227	167	1	1 2πi	CARDINAL
ma-227	167	2	1	CARDINAL
ma-227	167	3	1 2πi	CARDINAL
ma-227	167	4	1	CARDINAL
ma-227	170	1	lim z→t ω(z	PERSON
ma-227	171	1	∈	ORG
ma-227	172	1	3.7	CARDINAL
ma-227	174	1	j. math	PERSON
ma-227	176	1	10.28924	CARDINAL
ma-227	176	2	7	CARDINAL
ma-227	177	1	3.2	CARDINAL
ma-227	178	1	riemann	PERSON
ma-227	179	1	∈	ORG
ma-227	179	2	2	CARDINAL
ma-227	179	3	γ ∈ c(∂m;c	GPE
ma-227	179	4	3.8	CARDINAL
ma-227	179	5	1	CARDINAL
ma-227	179	6	2πi	ORDINAL
ma-227	181	1	1	CARDINAL
ma-227	181	2	1	CARDINAL
ma-227	181	3	1	CARDINAL
ma-227	181	4	tz̄	CARDINAL
ma-227	181	5	3.9	CARDINAL
ma-227	181	6	ω(z	PERSON
ma-227	181	7	1 2πi	CARDINAL
ma-227	182	1	1	CARDINAL
ma-227	183	1	1	CARDINAL
ma-227	183	2	1	CARDINAL
ma-227	185	1	3.10	CARDINAL
ma-227	188	1	2.1	CARDINAL
ma-227	188	2	3.8	CARDINAL
ma-227	188	3	3.10	CARDINAL
ma-227	190	1	0	CARDINAL
ma-227	193	1	0	CARDINAL
ma-227	193	2	∈	ORG
ma-227	194	1	3.11	CARDINAL
ma-227	194	2	3.11	CARDINAL
ma-227	194	3	3.2	CARDINAL
ma-227	194	4	1	CARDINAL
ma-227	194	5	2πi	ORDINAL
ma-227	195	1	γ(t)−	GPE
ma-227	196	1	1	CARDINAL
ma-227	196	2	0	CARDINAL
ma-227	196	3	1	CARDINAL
ma-227	196	4	2πi	ORDINAL
ma-227	198	1	1	CARDINAL
ma-227	199	1	1	CARDINAL
ma-227	199	2	t̃	ORG
ma-227	199	3	1	CARDINAL
ma-227	199	4	2πi	ORDINAL
ma-227	200	1	1	CARDINAL
ma-227	201	1	− t̃ d ξ̃dη̃	ORG
ma-227	201	2	1	CARDINAL
ma-227	202	1	t̃	ORG
ma-227	202	2	1	CARDINAL
ma-227	202	3	1	CARDINAL
ma-227	202	4	3.9	CARDINAL
ma-227	204	1	j. math	PERSON
ma-227	206	1	10.28924	CARDINAL
ma-227	206	2	3.9	CARDINAL
ma-227	206	3	3.10	CARDINAL
ma-227	207	1	ω(z	PERSON
ma-227	207	2	1 2πi	CARDINAL
ma-227	207	3	1	CARDINAL
ma-227	208	1	1	CARDINAL
ma-227	209	1	1	CARDINAL
ma-227	210	1	1	CARDINAL
ma-227	211	1	1	CARDINAL
ma-227	212	1	3.12	CARDINAL
ma-227	212	2	0	CARDINAL
ma-227	212	3	∈	ORG
ma-227	212	4	3.2	CARDINAL
ma-227	212	5	3.12	CARDINAL
ma-227	212	6	lim z→t ω(z	PERSON
ma-227	213	1	∈	ORG
ma-227	214	1	w	ORG
ma-227	214	2	two	CARDINAL
ma-227	214	3	∈	ORG
ma-227	215	1	∈	ORG
ma-227	215	2	two	CARDINAL
ma-227	215	3	0	CARDINAL
ma-227	215	4	0	CARDINAL
ma-227	221	1	1	CARDINAL
ma-227	221	2	m. akel	PERSON
ma-227	221	3	s. mondal	PERSON
ma-227	221	4	dirichlet	PERSON
ma-227	221	5	lune	GPE
ma-227	221	6	bull	GPE
ma-227	222	1	malays	GPE
ma-227	224	1	sci	ORG
ma-227	225	1	41	CARDINAL
ma-227	226	1	t. vaitekhovich	GPE
ma-227	226	2	half	CARDINAL
ma-227	226	3	half	CARDINAL
ma-227	228	1	2009)251–282.[3	ORG
ma-227	228	2	h. begehr	PERSON
ma-227	228	3	t. vaitekhovich	GPE
ma-227	228	4	schwarz	DATE
ma-227	228	5	lune	PERSON
ma-227	229	1	59	CARDINAL
ma-227	229	2	2014	DATE
ma-227	229	3	76–84.[4	CARDINAL
ma-227	229	4	burskii	PERSON
ma-227	229	5	e.v. lesina	PERSON
ma-227	231	1	phys	PERSON
ma-227	232	1	60	CARDINAL
ma-227	232	2	2020	DATE
ma-227	232	3	z. du	PERSON
ma-227	232	4	y. wang	PERSON
ma-227	232	5	m. ku	PERSON
ma-227	233	1	17	CARDINAL
ma-227	233	2	2023	CARDINAL
ma-227	233	3	33	DATE
ma-227	235	1	j. math	PERSON
ma-227	237	1	10.28924	CARDINAL
ma-227	237	2	9	CARDINAL
ma-227	238	1	6	CARDINAL
ma-227	238	2	three	CARDINAL
ma-227	238	3	riemann	PERSON
ma-227	239	1	67	CARDINAL
ma-227	239	2	2022	CARDINAL
ma-227	240	1	510–529.[7	CARDINAL
ma-227	240	2	y. gao	PERSON
ma-227	240	3	y. zhao	PERSON
ma-227	240	4	b. zhao	PERSON
ma-227	240	5	1d	CARDINAL
ma-227	240	6	qcs	ORG
ma-227	240	7	physica b. 394(2007	PERSON
ma-227	240	8	56–61.[8	DATE
ma-227	240	9	neumann	ORG
ma-227	243	1	2020	DATE
ma-227	243	2	144–162.[9	CARDINAL
ma-227	243	3	v.g.	GPE
ma-227	247	1	62	CARDINAL
ma-227	247	2	2022	CARDINAL
ma-227	251	1	62	CARDINAL
ma-227	252	1	784–796.[11	CARDINAL
ma-227	252	2	k. ravikumar	PERSON
ma-227	252	3	k. ramkumar	PERSON
ma-227	252	4	d. chalishajar	PERSON
ma-227	252	5	second	ORDINAL
ma-227	252	6	poisson	PERSON
ma-227	253	1	j. math	PERSON
ma-227	255	1	1 (	CARDINAL
ma-227	255	2	2021	CARDINAL
ma-227	256	1	1.[12	CARDINAL
ma-227	256	2	m. mirzazadeh	PERSON
ma-227	256	3	f. farahrooz	PERSON
ma-227	259	1	374	CARDINAL
ma-227	259	2	2011	DATE
ma-227	259	3	549–553.[13	CARDINAL
ma-227	259	4	riemann	PERSON
ma-227	259	5	half	CARDINAL
ma-227	259	6	eurasian	NORP
ma-227	259	7	vekua	PERSON
ma-227	259	8	pergamon press	ORG
ma-227	259	9	oxford	NORP
ma-227	259	10	y. wang	PERSON
ma-227	259	11	x. zhao	PERSON
ma-227	259	12	riemann	PERSON
ma-227	260	1	valueprobl	PERSON
ma-227	261	1	2016	DATE
ma-227	261	2	2016	CARDINAL
ma-227	262	1	7.[16	CARDINAL
ma-227	262	2	y. wang	PERSON
ma-227	262	3	half	CARDINAL
ma-227	262	4	57	DATE
ma-227	262	5	2012) 983–993	DATE
ma-227	263	1	2	CARDINAL
ma-227	264	1	3	CARDINAL
ma-227	265	1	dirichlet	PERSON
ma-227	265	2	riemann	PERSON