The Top 100

Researchers active on the Riemann hypothesis and the zeros of zeta and L-functions

Table Details

Columns

# overall rank (lower is better)
Name the researcher
Institution current affiliation
Ctry country
aX arXiv rank
OA OpenAlex rank
zM zbMATH rank
Cit citation-influence rank: how many works in the literature on this conjecture cite them, by reference or by name
h h-index (citation impact)
Source databases that list them
YSP years since PhD (2026 minus the Math Genealogy PhD year; a dash when the PhD year is not known)

How it works. arXiv, OpenAlex and zbMATH rank a researcher by their own papers, and the Cit column ranks how often the literature cites them ; the score is the geometric mean of the Cit rank and the combined paper rank, so a researcher needs both to rank high. Researchers with work on the problem, or cited by work on it, are listed first. Recent work counts more. Lower is better. Click any header to sort. A rank in [brackets] is an estimate, not measured. Full method.

#	Name	Institution		aX	OA	zM	Cit	h	Source	YSP
1	J. Brian Conrey	American Institute of Mathematics	US	2	18	2	7	28	all_three	46
2	J. P. Keating	University of Oxford	GB	8	31	1	16	40	all_three	37
3	Hugh Lowell Montgomery	University of Michigan	US	[51]	188	39	2	32	oa+zb	54
4	K. Soundararajan	Stanford University	US	12	45	25	8	33	all_three	28
5	Henryk Iwaniec	Rutgers University	US	130	70	56	3	50	all_three	54
6	Steven M. Gonek	University of Rochester	US	34	29	8	19	18	all_three	47
7	Timothy S. Trudgian	UNSW Canberra	AU	6	54	4	48	13	all_three	16
8	A. M. Odlyzko	University of Minnesota	US	[49]	[79]	57	10	60	zb_only	51
9	Jeffrey C. Lagarias	University of Michigan	US	83	150	32	13	55	all_three	52
10	Daniel A. Goldston	San Jose State University	US	16	67	12	44	21	all_three	45
11	H. M. Bui	University of Manchester	GB	4	34	11	111	11	all_three	18
12	Enrico Bombieri	Institute for Advanced Study	US	[47]	[78]	55	17	42	zb_only	63
13	R. C. Vaughan	Pennsylvania State University	US	[58]	[94]	128	9	35	zb_only	56
14	Emmanuel Kowalski	ETH Zurich	CH	104	76	97	12	29	all_three	28
15	Peter Sarnak	Princeton University	US	[52]	[85]	106	11	57	zb_only	46
16	David W. Farmer	American Institute of Mathematics	US	32	137	15	35	18	all_three	33
17	Alexandru Zaharescu	University of Illinois Urbana-Champaign	US	10	13	5	163	24	all_three	35
18	Maksym Radziwiłł	Northwestern University	US	7	26	63	71	17	all_three	13
19	Jean-Pierre Serre	Collège de France	FR	[41]	[68]	[57]	25	61	cite_only	75
20	Nina C. Snaith	University of Bristol	GB	42	[86]	7	54	6	arx+zb	26
21	M. B. Milinovich	University of Mississippi	US	9	35	13	101	11	all_three	18
22	Pierre Deligne	Institute for Advanced Study	US	[42]	[68]	[60]	29	55	cite_only	58
23	Zeev Rudnick	Tel Aviv University	IL	40	[87]	54	32	32	arx+zb	36
24	P. Moree	Max Planck Institute for Mathematics	DE	45	139	184	23	20	all_three	33
25	Liangyi Zhao	University of New South Wales	AU	1	15	52	[201]	14	all_three	23
26	Hendrik W. Lenstra	Leiden University	NL	[42]	[68]	[63]	37	41	cite_only	49
27	Akio Fujii	Rikkyo University	JP	[44]	68	9	83	14	oa+zb	53
28	Ade Irma Suriajaya	Kyushu University	JP	3	33	21	[201]	4	all_three	10
29	YoungJu Choie	Pohang University of Science and Technology	KR	[44]	[69]	[63]	40	15	cite_only	40
30	Nicholas M. Katz	Princeton University	US	[44]	[69]	[63]	41	41	cite_only	60
31	M. Ram Murty	Queen's University	CA	[57]	80	147	26	25	oa+zb	46
32	Michael Rubinstein	University of Waterloo	CA	49	[88]	26	59	3	arx+zb	28
33	Nicolas Lichiardopol	ESSI Sophia Antipolis	FR	[44]	[69]	[64]	43	9	cite_only	-
34	Alberto Perelli	University of Genoa	IT	48	20	43	80	20	all_three	50
35	Christopher Hughes	University of York	GB	18	126	78	55	14	all_three	25
36	Nathan Ng	University of Lethbridge	CA	22	99	17	87	13	all_three	26
37	Gérald Tenenbaum	Institut Élie Cartan de Lorraine	FR	[44]	[69]	[64]	47	30	cite_only	50
38	Jerzy Kaczorowski	Adam Mickiewicz University in Poznań	PL	80	22	18	99	19	all_three	43
39	D. R. Heath-Brown	University of Oxford	GB	190	125	64	28	45	all_three	47
40	Jean-Louis Nicolas	University of Lyon	FR	179	[93]	93	27	16	arx+zb	57
41	Antanas Laurinčikas	Vilnius University	LT	[34]	4	[43]	[201]	22	oa_only	51
42	Vorrapan Chandee	Kansas State University	US	24	106	37	82	10	all_three	16
43	Henri Cohen	University of Bordeaux	FR	[44]	[70]	[60]	58	30	cite_only	50
44	Joseph H. Silverman	Brown University	US	[44]	[70]	[60]	60	56	cite_only	44
45	Alain Connes	Collège de France	FR	[38]	49	[57]	63	73	oa_only	53
46	Steven J. Miller	Williams College	US	5	119	3	[201]	26	all_three	24
47	Carl Pomerance	Dartmouth College	US	[42]	[69]	[58]	64	39	cite_only	54
48	Andrew Granville	Université de Montréal	CA	[52]	[82]	79	42	32	zb_only	39
49	Melvyn B. Nathanson	Lehman College, CUNY	US	[42]	[69]	[60]	65	-	cite_only	54
50	Amit Ghosh	Oklahoma State University	US	[60]	[93]	131	30	18	zb_only	45
51	Stephen Kwok-Kwong Choi	Simon Fraser University	CA	[44]	[68]	[63]	69	8	cite_only	30
52	William D. Banks	University of Missouri	US	13	69	23	[201]	21	all_three	32
53	Brendan Rooney	Rochester Institute of Technology	US	[46]	[69]	[60]	84	5	cite_only	12
54	Andrea Weirathmueller	University of Western Ontario	CA	[46]	[69]	[60]	85	3	cite_only	-
55	Andrés Chirre	Pontificia Universidad Católica del Perú	PE	15	77	19	[201]	5	all_three	7
56	Dorian Goldfeld	Columbia University	US	[45]	[68]	[63]	88	24	cite_only	57
57	Etienne Fouvry	University of Paris-Saclay	FR	[45]	[68]	[63]	93	28	cite_only	45
58	M. V. Berry	University of Bristol	GB	[53]	[86]	107	51	-	zb_only	61
59	Terence Tao	University of California, Los Angeles	US	[46]	[68]	[64]	94	101	cite_only	30
60	Bruce C. Berndt	University of Illinois Urbana-Champaign	US	[46]	[68]	[64]	95	41	cite_only	60
61	Kevin Ford	University of Illinois Urbana-Champaign	US	47	[86]	34	118	-	arx+zb	32
62	Harold M. Stark	University of California, San Diego	US	[46]	[68]	[64]	96	7	cite_only	62
63	Matthew P. Young	Rutgers University	US	19	124	132	98	15	all_three	22
64	Patrick Solé	Télécom Paris	FR	138	[104]	139	39	42	arx+zb	39
65	Takashi Nakamura	Tokyo University of Science	JP	41	61	16	[201]	12	all_three	19
66	Wenzhi Luo	The Ohio State University	US	[45]	[66]	[64]	103	18	cite_only	33
67	M. N. Huxley	Cardiff University	GB	[44]	[64]	[64]	105	23	cite_only	56
68	Michel Balazard	Centre National de la Recherche Scientifique	FR	[51]	[77]	44	108	11	zb_only	39
69	Darius Šiaučiūnas	Šiauliai University	LT	[34]	21	[50]	[201]	8	oa_only	-
70	Youness Lamzouri	University of Lorraine	FR	17	37	102	188	9	all_three	17
71	Michael Rosen	Brown University	US	[46]	[67]	[66]	109	19	cite_only	63
72	Glyn Harman	Royal Holloway University of London	GB	[46]	[67]	[65]	110	19	cite_only	44
73	Shai Haran	Technion - Israel Institute of Technology	IL	[44]	[64]	[65]	114	8	cite_only	43
74	Ramūnas Garunkštis	Vilnius University	LT	87	24	22	[201]	11	all_three	28
75	Janos Pintz	Alfréd Rényi Institute of Mathematics	HU	132	141	68	68	26	all_three	50
76	William D. Duke	University of California, Los Angeles	US	[45]	[66]	[66]	117	28	cite_only	40
77	Dennis A. Hejhal	University of Minnesota	US	[52]	[84]	94	72	23	zb_only	54
78	Jeffrey Hoffstein	Brown University	US	[45]	[66]	[67]	119	33	cite_only	48
79	Amir Akbary	University of Lethbridge	CA	[42]	[63]	[66]	129	12	cite_only	29
80	Philippe Michel	École Polytechnique Fédérale de Lausanne	CH	[46]	[67]	[68]	120	-	cite_only	31
81	John B. Friedlander	University of Toronto	CA	[59]	[95]	129	57	34	zb_only	54
82	Kazuya Kato	University of Chicago	US	[42]	[63]	[64]	132	-	cite_only	46
83	Barry Mazur	Harvard University	US	[46]	[67]	[68]	123	48	cite_only	67
84	Peter J. Weinberger	Google	US	[47]	[66]	[67]	124	-	cite_only	57
85	Roger C. Baker	Brigham Young University	US	[47]	[64]	[66]	127	23	cite_only	55
86	Emanuel Carneiro	The Abdus Salam International Centre for Theoretical Physics (ICTP)	IT	36	151	29	156	18	all_three	17
87	S. W. Graham	Central Michigan University	US	[44]	[63]	[66]	133	15	cite_only	49
88	Alessandro Languasco	University of Padua	IT	26	57	50	200	12	all_three	30
89	H. J. J. te Riele	Centrum Wiskunde & Informatica	NL	[55]	[87]	110	73	-	zb_only	50
90	Samuel James Patterson	University of Göttingen	DE	[47]	[62]	[68]	137	22	cite_only	51
91	Takeshi Saito	The University of Tokyo	JP	[47]	[62]	[68]	138	-	cite_only	37
92	Don Zagier	Max Planck Institute for Mathematics	DE	[67]	[97]	177	50	59	zb_only	54
93	Zikang Dong	Tianjin University	CN	29	55	[56]	[201]	2	arx+oa	4
94	Caroline L. Turnage-Butterbaugh	Carleton College	US	27	128	30	[201]	7	all_three	12
95	Kevin Broughan	University of Waikato	NZ	[52]	[83]	95	89	12	zb_only	51
96	Ken Ono	University of Virginia	US	[47]	[60]	[67]	147	43	cite_only	33
97	Greg Martin	University of British Columbia	CA	73	[96]	20	[201]	16	arx+zb	29
98	P. J. Forrester	University of Melbourne	AU	[54]	[88]	27	[201]	44	zb_only	41
99	Jörn Steuding	University of Würzburg	DE	[50]	36	[59]	189	13	oa_only	28
100	Richard Taylor	Stanford University	US	[48]	[62]	[68]	149	30	cite_only	38

Source column legend

The Source column records which pipeline ranked each researcher directly. Where a pipeline did not rank someone, the rank shown for that pipeline is an interpolated estimate (in [square brackets]).

all_three: ranked directly by arXiv, OpenAlex, and zbMATH. The unanimous core.
arx+oa: ranked by arXiv and OpenAlex, but not zbMATH.
arx+zb: ranked by arXiv and zbMATH, but not OpenAlex.
oa+zb: ranked by OpenAlex and zbMATH, but not arXiv.
arxiv_only: ranked only by the arXiv pipeline.
oa_only: ranked only by OpenAlex. Often senior figures who publish in journals and do not post preprints.
zb_only: ranked only by zbMATH. RH is an arXiv-heavy field, so most of the list is ranked from arXiv preprint output, with OpenAlex contributing where it overlaps.
cite_only: ranked only by citation influence: the literature cites them heavily, though they have written few papers on the topic themselves. Often the founders of the field.

Source	Count
`cite_only`	37
`all_three`	34
`zb_only`	14
`arx+zb`	7
`oa_only`	4
`oa+zb`	3
`arx+oa`	1

Limitations

This list reflects publication output and citation network density, not subjective importance. A starting point, not a verdict.