id	sid	eid	entity	type
ma-310	1	1	2025	CARDINAL
ma-310	2	1	j. math	PERSON
ma-310	4	1	5 (	CARDINAL
ma-310	4	2	10doi	CARDINAL
ma-310	4	3	10.28924	CARDINAL
ma-310	4	4	dirichlet	PERSON
ma-310	4	5	riemann	PERSON
ma-310	4	6	ali darya∗	PERSON
ma-310	4	7	nasir	GPE
ma-310	4	8	university of guilan	ORG
ma-310	4	9	19141	DATE
ma-310	4	10	alidarya@phd.guilan.ac.ir	PERSON
ma-310	5	1	neumann	ORG
ma-310	6	1	first	ORDINAL
ma-310	7	1	neumann	ORG
ma-310	10	1	1	CARDINAL
ma-310	13	1	1	CARDINAL
ma-310	13	2	3	DATE
ma-310	13	3	6	DATE
ma-310	17	1	neumann	ORG
ma-310	18	1	2	CARDINAL
ma-310	18	2	2024	DATE
ma-310	20	1	neumann	ORG
ma-310	20	2	dirichlet	PERSON
ma-310	21	1	j. math	PERSON
ma-310	23	1	10.28924	CARDINAL
ma-310	23	2	neumann	ORG
ma-310	25	1	1–9,16].in recent years	DATE
ma-310	25	2	1–16	CARDINAL
ma-310	26	1	riemann	PERSON
ma-310	26	2	ali darya	PERSON
ma-310	26	3	nasir	PERSON
ma-310	27	1	1].in	CARDINAL
ma-310	27	2	neumann	ORG
ma-310	27	3	first	ORDINAL
ma-310	27	4	second	ORDINAL
ma-310	28	1	first	ORDINAL
ma-310	28	2	neumann	ORG
ma-310	31	1	1	CARDINAL
ma-310	38	1	two	CARDINAL
ma-310	39	1	a.	PERSON
ma-310	44	1	neumann	ORG
ma-310	47	1	j. math	PERSON
ma-310	49	1	10.28924	CARDINAL
ma-310	49	2	∈	ORG
ma-310	49	3	z̄ +	DATE
ma-310	49	4	2a2 ⇒	CARDINAL
ma-310	49	5	z̄	DATE
ma-310	49	6	+ 2a2 z̄	MONEY
ma-310	49	7	z̄ + a2 z̄	MONEY
ma-310	50	1	z∗1	ORG
ma-310	53	1	1–4,7	CARDINAL
ma-310	53	2	8	DATE
ma-310	53	3	neumann	ORG
ma-310	55	1	neumann	ORG
ma-310	55	2	2	CARDINAL
ma-310	55	3	6	DATE
ma-310	55	4	7	DATE
ma-310	55	5	9	DATE
ma-310	55	6	11].in	CARDINAL
ma-310	55	7	neumann	ORG
ma-310	55	8	riemann	PERSON
ma-310	57	1	1.1	CARDINAL
ma-310	58	1	ω ∈ c1(m;c	ORG
ma-310	58	2	ω(z	PERSON
ma-310	58	3	1 2πi	CARDINAL
ma-310	58	4	1	CARDINAL
ma-310	59	1	1	CARDINAL
ma-310	59	2	ωζ̄(ζ	NORP
ma-310	59	3	1	CARDINAL
ma-310	60	1	dξdη	PERSON
ma-310	60	2	1.1	CARDINAL
ma-310	63	1	1 2πi	CARDINAL
ma-310	63	2	1	CARDINAL
ma-310	63	3	ωζ̄(ζ	NORP
ma-310	63	4	dξdη	PERSON
ma-310	63	5	ω(z	PERSON
ma-310	64	1	∈	ORG
ma-310	65	1	ω(z	PERSON
ma-310	66	1	1 2πi	CARDINAL
ma-310	66	2	1	CARDINAL
ma-310	66	3	ωζ̄(ζ	NORP
ma-310	66	4	dξdη	PERSON
ma-310	66	5	1.2	CARDINAL
ma-310	67	1	j. math	PERSON
ma-310	69	1	10.28924	CARDINAL
ma-310	69	2	1	CARDINAL
ma-310	69	3	2πi	ORDINAL
ma-310	70	1	1	CARDINAL
ma-310	70	2	ωζ̄(ζ	NORP
ma-310	70	3	zdξdη	DATE
ma-310	70	4	1.3	CARDINAL
ma-310	71	1	neumann	ORG
ma-310	71	2	riemann	PERSON
ma-310	72	1	neumann	ORG
ma-310	72	2	riemann	PERSON
ma-310	72	3	γ ∈ c(∂m;c	GPE
ma-310	73	1	neumann	ORG
ma-310	73	2	riemann equa-tion	PERSON
ma-310	74	1	neumann	ORG
ma-310	75	1	2,6,7,9,11,16].to	CARDINAL
ma-310	75	2	neumann	ORG
ma-310	75	3	2a	MONEY
ma-310	76	1	1.2	CARDINAL
ma-310	77	1	neumann	ORG
ma-310	78	1	∈	ORG
ma-310	79	1	1.4	CARDINAL
ma-310	80	1	∈	ORG
ma-310	80	2	2a	MONEY
ma-310	80	3	1	CARDINAL
ma-310	80	4	2πi	ORDINAL
ma-310	80	5	z̄	DATE
ma-310	80	6	0	CARDINAL
ma-310	80	7	ω(z	PERSON
ma-310	80	8	1 2πi	CARDINAL
ma-310	82	1	− a2	PERSON
ma-310	84	1	j. math	PERSON
ma-310	86	1	10.28924	CARDINAL
ma-310	87	1	ω	ORG
ma-310	87	2	neumann	ORG
ma-310	88	1	φ	ORG
ma-310	88	2	0	CARDINAL
ma-310	88	3	1.5)where	CARDINAL
ma-310	90	1	z̄+ai√ 2a	PERSON
ma-310	90	2	5	CARDINAL
ma-310	90	3	riemann	PERSON
ma-310	91	1	3.2	CARDINAL
ma-310	91	2	1	CARDINAL
ma-310	91	3	1	CARDINAL
ma-310	91	4	2πi	ORDINAL
ma-310	91	5	z̄	DATE
ma-310	91	6	1 2πi	CARDINAL
ma-310	91	7	1	CARDINAL
ma-310	93	1	1.6	CARDINAL
ma-310	93	2	6	CARDINAL
ma-310	93	3	ω(z	PERSON
ma-310	93	4	1 2πi	CARDINAL
ma-310	94	1	− log(ζ − z	ORG
ma-310	96	1	1 2πi	CARDINAL
ma-310	96	2	− log(ζ −	ORG
ma-310	99	1	2	CARDINAL
ma-310	100	1	dirichlet	PERSON
ma-310	101	1	second	ORDINAL
ma-310	102	1	5–9	CARDINAL
ma-310	103	1	ζ̄(z	GPE
ma-310	103	2	aiz − a2	PERSON
ma-310	103	3	− z	ORG
ma-310	106	1	j. math	PERSON
ma-310	108	1	10.28924	CARDINAL
ma-310	109	1	∂vzg1(z	ORG
ma-310	109	2	2a	CARDINAL
ma-310	110	1	∂z + (	GPE
ma-310	110	2	2a	CARDINAL
ma-310	113	1	∂vzg1(z	ORG
ma-310	113	2	2a	CARDINAL
ma-310	114	1	2a	CARDINAL
ma-310	117	1	second	ORDINAL
ma-310	118	1	5	CARDINAL
ma-310	118	2	7	DATE
ma-310	118	3	9	CARDINAL
ma-310	119	1	2.1	CARDINAL
ma-310	120	1	ω ⊂ c	ORG
ma-310	120	2	ω	ORG
ma-310	120	3	ω(z	PERSON
ma-310	123	1	∫	ORG
ma-310	123	2	ω(ζ)∂vζg1(z	CARDINAL
ma-310	123	3	1	CARDINAL
ma-310	123	4	∫ ω	ORG
ma-310	124	1	5	CARDINAL
ma-310	124	2	7	DATE
ma-310	124	3	9	CARDINAL
ma-310	125	1	3	CARDINAL
ma-310	125	2	ω(z	PERSON
ma-310	125	3	1 2πi	CARDINAL
ma-310	125	4	c1 ω(ζ	PERSON
ma-310	126	1	1	CARDINAL
ma-310	127	1	2πi	ORDINAL
ma-310	128	1	ω(ζ	PERSON
ma-310	130	1	1	CARDINAL
ma-310	130	2	1	CARDINAL
ma-310	131	1	2.1	CARDINAL
ma-310	131	2	7	CARDINAL
ma-310	132	1	2.2	CARDINAL
ma-310	133	1	dirichlet	PERSON
ma-310	134	1	∈	ORG
ma-310	134	2	γ ∈ c(∂m;c	GPE
ma-310	134	3	2.2	CARDINAL
ma-310	135	1	j. math	PERSON
ma-310	137	1	10.28924	CARDINAL
ma-310	137	2	ω(z	PERSON
ma-310	137	3	1 2πi	CARDINAL
ma-310	137	4	∫ ∂m ⋂	ORG
ma-310	138	1	1	CARDINAL
ma-310	139	1	2πi	ORDINAL
ma-310	140	1	γ(ζ	WORK_OF_ART
ma-310	141	1	1	CARDINAL
ma-310	142	1	1	CARDINAL
ma-310	143	1	2.3	CARDINAL
ma-310	148	1	∈	ORG
ma-310	149	1	∈	PRODUCT
ma-310	149	2	z̄(ζ̄	ORG
ma-310	151	1	lim	PERSON
ma-310	151	2	ω(z	PERSON
ma-310	151	3	1 2πi	CARDINAL
ma-310	151	4	∫ ∂m ⋂	ORG
ma-310	151	5	1	CARDINAL
ma-310	151	6	2πi	ORDINAL
ma-310	151	7	1	CARDINAL
ma-310	152	1	∈	ORG
ma-310	152	2	0	CARDINAL
ma-310	152	3	∈	ORG
ma-310	152	4	6	CARDINAL
ma-310	152	5	ω(z	PERSON
ma-310	153	1	j. math	PERSON
ma-310	155	1	10.28924	CARDINAL
ma-310	155	2	∈	ORG
ma-310	156	1	1	CARDINAL
ma-310	156	2	ζ̄	LOC
ma-310	156	3	aiz − a2	PERSON
ma-310	156	4	z̄(ζ̄	ORG
ma-310	158	1	2	CARDINAL
ma-310	158	2	∈	ORG
ma-310	159	1	ω(z	PERSON
ma-310	159	2	1 2πi	CARDINAL
ma-310	159	3	∫ ∂m ⋂	ORG
ma-310	159	4	γ(ζ	WORK_OF_ART
ma-310	159	5	1	CARDINAL
ma-310	159	6	1 2πi	CARDINAL
ma-310	159	7	1	CARDINAL
ma-310	159	8	∈	ORG
ma-310	159	9	0	CARDINAL
ma-310	159	10	∈	ORG
ma-310	159	11	c2, lim z→ζ ω(z	ORG
ma-310	161	1	function1	PRODUCT
ma-310	161	2	1	CARDINAL
ma-310	161	3	1	CARDINAL
ma-310	161	4	2πi	ORDINAL
ma-310	161	5	1	CARDINAL
ma-310	161	6	2πi	ORDINAL
ma-310	161	7	1	CARDINAL
ma-310	162	1	ω(z	PERSON
ma-310	163	1	1 2πi	CARDINAL
ma-310	163	2	∫ ∂m ⋂ c1 γ̃(ζ	ORG
ma-310	163	3	1	CARDINAL
ma-310	164	1	j. math	PERSON
ma-310	166	1	10.28924	CARDINAL
ma-310	167	1	lim z→±a	PERSON
ma-310	169	1	1 2πi	CARDINAL
ma-310	170	1	1	CARDINAL
ma-310	170	2	lim z→±a	PERSON
ma-310	172	1	1	CARDINAL
ma-310	172	2	a. darya	PERSON
ma-310	172	3	n. taghizadeh	PERSON
ma-310	172	4	dirichlet	PERSON
ma-310	172	5	j. math	ORG
ma-310	173	1	sci	ORG
ma-310	174	1	2024	CARDINAL
ma-310	175	1	a. darya	PERSON
ma-310	175	2	three	CARDINAL
ma-310	179	1	64	CARDINAL
ma-310	179	2	2024	CARDINAL
ma-310	179	3	1295–1305	CARDINAL
ma-310	180	1	a. darya	PERSON
ma-310	180	2	n. tagizadeh	PERSON
ma-310	181	1	j. math	PERSON
ma-310	183	1	4 (	CARDINAL
ma-310	183	2	2024	CARDINAL
ma-310	183	3	15	CARDINAL
ma-310	184	1	https://doi.org/10.28924/ada/ma.4.15.[4] a. darya	ORG
ma-310	184	2	n. taghizadeh	PERSON
ma-310	184	3	dirichlet	PERSON
ma-310	185	1	68(2024	DATE
ma-310	185	2	9–17	CARDINAL
ma-310	186	1	https://doi.org/10.3103/s1066369x24700853.[5	ORG
ma-310	186	2	a. darya	PERSON
ma-310	186	3	iss	PERSON
ma-310	187	1	32 (2025	CARDINAL
ma-310	188	1	h. begehr	PERSON
ma-310	189	1	aosc	PERSON
ma-310	191	1	venezolana	ORG
ma-310	191	2	12 (2005	DATE
ma-310	191	3	65-85.[7	CARDINAL
ma-310	191	4	h. begehr	PERSON
ma-310	191	5	t. vaitekhovich	GPE
ma-310	191	6	half	CARDINAL
ma-310	191	7	half	CARDINAL
ma-310	194	1	40	DATE
ma-310	194	2	2009	DATE
ma-310	194	3	251–282	CARDINAL
ma-310	195	1	t. vaitekhovich	GPE
ma-310	195	2	2012.[9	CARDINAL
ma-310	195	3	y. wang	PERSON
ma-310	195	4	fu berlin	GPE
ma-310	195	5	2011.[10	GPE
ma-310	195	6	h. begehr	PERSON
ma-310	195	7	t. vaitekhovich	GPE
ma-310	195	8	schwarz	DATE
ma-310	195	9	lune	PERSON
ma-310	196	1	equ	PERSON
ma-310	196	2	59	CARDINAL
ma-310	196	3	2014	DATE
ma-310	197	1	https://doi.org/10.1080/17476933.2013.799152.[11] i̇. gençtürk	ORG
ma-310	197	2	k. koca	PERSON
ma-310	197	3	neumann	ORG
ma-310	197	4	j. anal	PERSON
ma-310	198	1	28	CARDINAL
ma-310	199	1	2020),799–815	CARDINAL
ma-310	199	2	ivanshin	GPE
ma-310	199	3	e.a.	GPE
ma-310	199	4	shirokova	PERSON
ma-310	201	1	26	CARDINAL
ma-310	201	2	2019	DATE
ma-310	202	1	pyatkov	PERSON
ma-310	202	2	sib.	GPE
ma-310	203	1	j. 62	PERSON
ma-310	203	2	2021	CARDINAL
ma-310	203	3	489–502	CARDINAL
ma-310	205	1	66	CARDINAL
ma-310	205	2	2022),71–81	CARDINAL
ma-310	206	1	https://doi.org/10.28924/ada/ma.5.10	TIME
ma-310	206	2	https://doi.org/10.1134/s0965542524700520 https://doi.org/10.28924/ada/ma.4.15 https://doi.org/10.3103/s1066369x24700853	ORG
ma-310	207	1	j. math	PERSON
ma-310	209	1	10.28924	CARDINAL
ma-310	210	1	15	CARDINAL
ma-310	210	2	k. ravikumar	PERSON
ma-310	210	3	k. ramkumar	PERSON
ma-310	210	4	d. chalishajar	PERSON
ma-310	210	5	second	ORDINAL
ma-310	210	6	poisson	PERSON
ma-310	211	1	j. math	PERSON
ma-310	213	1	1 (	CARDINAL
ma-310	213	2	2021	CARDINAL
ma-310	214	1	https	PERSON
ma-310	214	2	//doi.org/10.28924/ada/ma.1.1.[16] i.n. vekua	ORG
ma-310	214	3	pergamon press	ORG
ma-310	214	4	oxford	NORP
ma-310	214	5	1962	DATE
ma-310	215	1	https://doi.org/10.28924/ada/ma.5.10 https://doi.org/10.28924/ada/ma.1.1 https://doi.org/10.28924/ada/ma.1.1	GPE
ma-310	215	2	1	CARDINAL
ma-310	216	1	2	CARDINAL
ma-310	217	1	dirichlet	PERSON