id	sid	eid	entity	type
asir-4475	1	1	2474-4972	CARDINAL
asir-4475	1	2	issn 2474-4980	PERSON
asir-4475	2	1	6	CARDINAL
asir-4475	2	2	1	CARDINAL
asir-4475	2	3	2022	CARDINAL
asir-4475	2	4	riemann	PERSON
asir-4475	2	5	galetto1 1	FAC
asir-4475	2	6	politecnico of turin	ORG
asir-4475	2	7	turin	GPE
asir-4475	2	8	italy	GPE
asir-4475	2	9	december 28, 2021	DATE
asir-4475	2	10	january 12	DATE
asir-4475	2	11	2022	CARDINAL
asir-4475	2	12	january 19	DATE
asir-4475	2	13	2022	CARDINAL
asir-4475	2	14	riemann	PERSON
asir-4475	2	15	rh	ORG
asir-4475	2	16	the “spira criterion	EVENT
asir-4475	2	17	rh	ORG
asir-4475	2	18	6.5	CARDINAL
asir-4475	4	1	riemann	PERSON
asir-4475	4	2	f. galetto	PERSON
asir-4475	5	1	zeros	CARDINAL
asir-4475	5	2	spira criterion	GPE
asir-4475	6	1	1	CARDINAL
asir-4475	6	2	riemann hypothesis	ORG
asir-4475	6	3	riemann	PERSON
asir-4475	7	1	university of gottingen	ORG
asir-4475	7	2	germany	GPE
asir-4475	7	3	1859	DATE
asir-4475	7	4	8	CARDINAL
asir-4475	7	5	berlin academy	ORG
asir-4475	7	6	1859	DATE
asir-4475	7	7	rh	ORG
asir-4475	7	8	1	CARDINAL
asir-4475	9	1	i2=-1	DATE
asir-4475	10	1	1986	DATE
asir-4475	12	1	6	CARDINAL
asir-4475	12	2	1	CARDINAL
asir-4475	12	3	2022 15	CARDINAL
asir-4475	12	4	scholink inc.	ORG
asir-4475	12	5	1	CARDINAL
asir-4475	13	1	b. riemann	PERSON
asir-4475	15	1	1986	DATE
asir-4475	15	2	bombieri	PERSON
asir-4475	15	3	2000	DATE
asir-4475	15	4	2017	CARDINAL
asir-4475	16	1	meromorphic	CARDINAL
asir-4475	17	1	1	CARDINAL
asir-4475	17	2	zeros	CARDINAL
asir-4475	17	3	-4	PERSON
asir-4475	17	4	-6	DATE
asir-4475	17	5	zeros	CARDINAL
asir-4475	18	1	zeros	CARDINAL
asir-4475	18	2	nontrivial zeros	CARDINAL
asir-4475	18	3	zeros	CARDINAL
asir-4475	18	4	2004	DATE
asir-4475	18	5	1012 zeros	DATE
asir-4475	18	6	2	CARDINAL
asir-4475	18	7	2	CARDINAL
asir-4475	19	1	1	CARDINAL
asir-4475	19	2	no zero	CARDINAL
asir-4475	19	3	1	CARDINAL
asir-4475	21	1	zeros	CARDINAL
asir-4475	21	2	-4	PERSON
asir-4475	21	3	-6	DATE
asir-4475	22	1	zeros	CARDINAL
asir-4475	25	1	−	PERSON
asir-4475	26	1	riemann hypothesis	ORG
asir-4475	26	2	rh	ORG
asir-4475	26	3	zeros	CARDINAL
asir-4475	26	4	1/2	CARDINAL
asir-4475	28	1	up to 2004	DATE
asir-4475	28	2	1012 zeros	DATE
asir-4475	30	1	6	CARDINAL
asir-4475	30	2	1	CARDINAL
asir-4475	30	3	2022 16	CARDINAL
asir-4475	30	4	scholink inc.	ORG
asir-4475	31	1	zeros	CARDINAL
asir-4475	32	1	0.9999999999	CARDINAL
asir-4475	32	2	1012 zeros	DATE
asir-4475	32	3	(as to 2004	DATE
asir-4475	34	1	1914	DATE
asir-4475	34	2	zeros	CARDINAL
asir-4475	35	1	zeros	CARDINAL
asir-4475	36	1	these weeks	DATE
asir-4475	37	1	2.	CARDINAL
asir-4475	37	2	spira	GPE
asir-4475	37	3	1	CARDINAL
asir-4475	37	4	− s	ORG
asir-4475	38	1	2a	CARDINAL
asir-4475	38	2	− s	ORG
asir-4475	38	3	2b	CARDINAL
asir-4475	38	4	h(s	PERSON
asir-4475	43	1	2c	CARDINAL
asir-4475	43	2	2d	DATE
asir-4475	43	3	3	CARDINAL
asir-4475	44	1	3b	CARDINAL
asir-4475	46	1	3b	CARDINAL
asir-4475	46	2	3c	CARDINAL
asir-4475	47	1	spira	GPE
asir-4475	47	2	2017	DATE
asir-4475	47	3	2𝜋 + 0.1	CARDINAL
asir-4475	49	1	1	CARDINAL
asir-4475	50	1	1	CARDINAL
asir-4475	51	1	6	CARDINAL
asir-4475	51	2	1	CARDINAL
asir-4475	51	3	2022 17	DATE
asir-4475	51	4	scholink inc.	ORG
asir-4475	52	1	spira	GPE
asir-4475	52	2	2017	DATE
asir-4475	52	3	1	CARDINAL
asir-4475	52	4	2𝜋 + 0.1	CARDINAL
asir-4475	53	1	2	CARDINAL
asir-4475	54	1	1−𝑠	DATE
asir-4475	54	2	+ 1−𝑠 2𝑛	DATE
asir-4475	55	1	2𝑛	CARDINAL
asir-4475	55	2	𝑠−0.5	CARDINAL
asir-4475	55	3	1	CARDINAL
asir-4475	55	4	1−𝑠	DATE
asir-4475	55	5	|(2𝑛+1−𝑠)| |(2𝑛+𝑠)|	ORG
asir-4475	55	6	𝑠−0.5	CARDINAL
asir-4475	55	7	4	CARDINAL
asir-4475	55	8	2	CARDINAL
asir-4475	55	9	2	CARDINAL
asir-4475	55	10	one	CARDINAL
asir-4475	55	11	2	CARDINAL
asir-4475	55	12	1−𝑠	DATE
asir-4475	56	1	2 ∏	CARDINAL
asir-4475	56	2	𝑠−0.5	CARDINAL
asir-4475	56	3	∞ 1	CARDINAL
asir-4475	57	1	1−𝜎)2+𝜔2	CARDINAL
asir-4475	57	2	2𝑛+1−𝜎)2+𝜔2	CARDINAL
asir-4475	57	3	2𝑛+𝜎)2+𝜔2 𝑒	QUANTITY
asir-4475	57	4	5b	CARDINAL
asir-4475	57	5	3	CARDINAL
asir-4475	58	1	spira	GPE
asir-4475	58	2	2017	DATE
asir-4475	58	3	1	CARDINAL
asir-4475	58	4	ω	LOC
asir-4475	58	5	2π + 0.1	CARDINAL
asir-4475	59	1	2𝜋 + 0.1	CARDINAL
asir-4475	59	2	n>n0	ORG
asir-4475	59	3	1 + 𝑧/(2𝑛	QUANTITY
asir-4475	60	1	2𝑛	CARDINAL
asir-4475	61	1	1 + 𝑠	DATE
asir-4475	61	2	2𝑛	CARDINAL
asir-4475	62	1	≈	CARDINAL
asir-4475	62	2	1	CARDINAL
asir-4475	62	3	2𝑛	CARDINAL
asir-4475	63	1	1	CARDINAL
asir-4475	63	2	n>n0	ORG
asir-4475	64	1	1	CARDINAL
asir-4475	65	1	𝑠−0.5 𝑛 |	QUANTITY
asir-4475	65	2	≈	CARDINAL
asir-4475	65	3	𝑠−0.5	CARDINAL
asir-4475	65	4	1 (	CARDINAL
asir-4475	65	5	2𝑛)2	CARDINAL
asir-4475	66	1	𝑅𝑒{(𝑠−0.5	ORG
asir-4475	66	2	1 (	CARDINAL
asir-4475	66	3	1 (	CARDINAL
asir-4475	66	4	2𝑛)2	CARDINAL
asir-4475	66	5	1	CARDINAL
asir-4475	66	6	0	CARDINAL
asir-4475	66	7	0.5 1	DATE
asir-4475	66	8	im(s	ORG
asir-4475	66	9	1-s	QUANTITY
asir-4475	66	10	2n+s	CARDINAL
asir-4475	67	1	6	CARDINAL
asir-4475	67	2	1	CARDINAL
asir-4475	67	3	2022 18	DATE
asir-4475	67	4	scholink inc.	ORG
asir-4475	67	5	3	CARDINAL
asir-4475	67	6	3	CARDINAL
asir-4475	68	1	first	ORDINAL
asir-4475	68	2	∏	CARDINAL
asir-4475	68	3	∞ 1	CARDINAL
asir-4475	68	4	1	CARDINAL
asir-4475	68	5	1	CARDINAL
asir-4475	69	1	the spira criterion	ORG
asir-4475	69	2	2017	DATE
asir-4475	70	1	4	CARDINAL
asir-4475	71	1	|𝐇(𝛔	ORG
asir-4475	71	2	0 0.5 1	CARDINAL
asir-4475	71	3	im(s	ORG
asir-4475	71	4	1-s s	QUANTITY
asir-4475	71	5	1-s)/2 1.5	TIME
asir-4475	72	1	n=1 www.scholink.org/ojs/index.php/asir applied	ORG
asir-4475	73	1	6	CARDINAL
asir-4475	73	2	1	CARDINAL
asir-4475	73	3	2022 19	DATE
asir-4475	73	4	scholink inc.	ORG
asir-4475	73	5	4	CARDINAL
asir-4475	74	1	ω	CARDINAL
asir-4475	74	2	1	CARDINAL
asir-4475	74	3	1965	DATE
asir-4475	74	4	2	CARDINAL
asir-4475	74	5	2	CARDINAL
asir-4475	75	1	1 +	CARDINAL
asir-4475	75	2	𝑛+(1−𝜎)/2	GPE
asir-4475	75	3	2	CARDINAL
asir-4475	76	1	1 +	CARDINAL
asir-4475	76	2	2	CARDINAL
asir-4475	76	3	4b	CARDINAL
asir-4475	76	4	1	CARDINAL
asir-4475	76	5	0	CARDINAL
asir-4475	77	1	1	CARDINAL
asir-4475	77	2	0	CARDINAL
asir-4475	77	3	6	CARDINAL
asir-4475	77	4	6	CARDINAL
asir-4475	77	5	two	CARDINAL
asir-4475	77	6	0	CARDINAL
asir-4475	77	7	7	CARDINAL
asir-4475	77	8	0	CARDINAL
asir-4475	78	1	8)	CARDINAL
asir-4475	78	2	7	CARDINAL
asir-4475	79	1	zero	CARDINAL
asir-4475	79	2	1	CARDINAL
asir-4475	79	3	1−𝜎)2+𝜔2	CARDINAL
asir-4475	79	4	2𝑛+1−𝜎)2+𝜔2	CARDINAL
asir-4475	79	5	2𝑛+𝜎)2+𝜔2 𝑒	QUANTITY
asir-4475	79	6	1	CARDINAL
asir-4475	79	7	9	CARDINAL
asir-4475	80	1	0.5	CARDINAL
asir-4475	80	2	zeros	CARDINAL
asir-4475	80	3	0.5 +	DATE
asir-4475	80	4	spira	GPE
asir-4475	81	1	1965	DATE
asir-4475	81	2	2	CARDINAL
asir-4475	81	3	2	CARDINAL
asir-4475	81	4	2 ∏	CARDINAL
asir-4475	82	1	1 +	CARDINAL
asir-4475	82	2	𝑛+(1−𝜎)/2	GPE
asir-4475	82	3	2	CARDINAL
asir-4475	83	1	1 +	CARDINAL
asir-4475	83	2	2	CARDINAL
asir-4475	84	1	1	CARDINAL
asir-4475	84	2	9b	CARDINAL
asir-4475	84	3	9b	CARDINAL
asir-4475	85	1	0.5	CARDINAL
asir-4475	87	1	4.	CARDINAL
asir-4475	87	2	zeros	CARDINAL
asir-4475	89	1	1914	DATE
asir-4475	89	2	zeros	CARDINAL
asir-4475	89	3	zeros	CARDINAL
asir-4475	90	1	first	ORDINAL
asir-4475	90	2	the “spira criterion	EVENT
asir-4475	91	1	h(s	ORG
asir-4475	91	2	second	ORDINAL
asir-4475	92	1	rh	ORG
asir-4475	93	1	2014	DATE
asir-4475	93	2	2018	DATE
asir-4475	93	3	2019	DATE
asir-4475	95	1	6	CARDINAL
asir-4475	95	2	1	CARDINAL
asir-4475	95	3	2022 20	CARDINAL
asir-4475	95	4	scholink inc.	ORG
asir-4475	95	5	abramowitz	PERSON
asir-4475	95	6	m., & stegun	ORG
asir-4475	95	7	i. a.	PERSON
asir-4475	95	8	1965	DATE
asir-4475	97	1	national bureau of standards	ORG
asir-4475	98	1	55	MONEY
asir-4475	98	2	dover	GPE
asir-4475	98	3	sec	ORG
asir-4475	98	4	6.5	CARDINAL
asir-4475	99	1	bombieri	ORG
asir-4475	99	2	e. (	PERSON
asir-4475	99	3	2000	DATE
asir-4475	100	1	millennium	DATE
asir-4475	100	2	riemann	PERSON
asir-4475	101	1	2017	CARDINAL
asir-4475	102	1	riemann	PERSON
asir-4475	103	1	cambridge university press	ORG
asir-4475	105	1	2014	DATE
asir-4475	106	1	riemann hypothesis	PERSON
asir-4475	107	1	6(12	CARDINAL
asir-4475	107	2	19-22	CARDINAL
asir-4475	109	1	2018	DATE
asir-4475	110	1	riemann	PERSON
asir-4475	111	1	3	CARDINAL
asir-4475	111	2	23	CARDINAL
asir-4475	111	3	2019	DATE
asir-4475	111	4	hal archive	PERSON
asir-4475	111	5	2018	DATE
asir-4475	113	1	2019	DATE
asir-4475	114	1	riemann	PERSON
asir-4475	114	2	one	CARDINAL
asir-4475	115	1	hal archive	PERSON
asir-4475	115	2	2019	DATE
asir-4475	115	3	academia.edu 2019	ORG
asir-4475	116	1	luigi amerio	PERSON
asir-4475	117	1	1989	DATE
asir-4475	118	1	analisi matematica	PERSON
asir-4475	118	2	iii,	GPE
asir-4475	118	3	1°	CARDINAL
asir-4475	118	4	e. c.	PERSON
asir-4475	118	5	1986	DATE
asir-4475	119	1	riemann zeta-function	ORG
asir-4475	120	1	clarendon press	ORG
asir-4475	120	2	oxford	NORP
asir-4475	121	1	wolfram mathworld	PERSON
asir-4475	122	1	2019	DATE