Recent papers

Recent papers on the Riemann hypothesis, surfaced by the prominence of their authors in this directory.

Showing 15 papers, ranked by the Top 100 standing of their authors then by recency. Authors who appear in the Top 100 are shown in bold.

#	Title	Authors	Published	Best rank
1	An update on the Linnik--Goldbach problem	Daniel R. Johnston, Tim Trudgian	2026-05	#7
2	Zero-free regions inspired by work of Heath-Brown	Chiara Bellotti, Tim Trudgian, Andrew Yang	2026-03	#7
3	A round of Pintz to celebrate oscillations in sums	Daniel R. Johnston, Tim Trudgian	2025-11	#7
4	Zeta Zeros in a Narrow Vertical Box	Daniel A. Goldston, Ade Irma Suriajaya	2026-03	#10
5	Zeta Zeros on the Critical Line	Daniel A. Goldston, Ade Irma Suriajaya	2025-11	#10
6	Simultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theorem	Hung M. Bui, Alexandra Florea, Micah B. Milinovich	2026-07	#11
7	Simultaneous non-vanishing of Dirichlet L-functions	Hung M. Bui, Alexandra Florea, Micah B. Milinovich	2026-04	#11
8	Amplified Fourth Moment of the Riemann Zeta-Function and Applications	Hung M. Bui, Richard R. Hall, Martin Subira Jorge	2025-11	#11
9	The $θ= \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions	Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu	2026-05	#17
10	Zeros of Polynomials in Derivatives of Automorphic $L$-functions	Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu	2025-12	#17
11	One-level densities of large even and odd orthogonal families of automorphic L-functions	Vorrapan Chandee, Xiannan Li, Micah B. Milinovich	2026-05	#21
12	Closed geodesics in short intervals for random hyperbolic surfaces	Zeev Rudnick	2026-05	#23
13	Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residue	Neelam Kandhil, Alessandro Languasco, Pieter Moree	2026-07	#24
14	Large values of cubic and quartic Dirichlet $L$-functions of prime moduli	Peng Gao, Liangyi Zhao	2026-09	#25
15	Murmurations of quadratic Hecke $L$-functions of the Gaussian field	Peng Gao, Liangyi Zhao	2026-07	#25

Most cited (all time)

The ten most-cited Mathematics works on the Riemann hypothesis, by citation count in OpenAlex. Results are filtered to the Mathematics field (OpenAlex field 26) and ranked by total citations.

The Top 100 ranking is designed to capture prominent, currently active researchers. If an author in this table is not linked to a profile, it is usually because they are deceased or less active than the researchers in the ranking, not because they are less significant to the field.

#	Title	Authors	Year	Citations
1	The Theory of the Riemann Zeta-Function	Edward Charles Titchmarsh; David Rodney Heath-Brown	1987	3,141
2	The Riemann Zeta Function DOI	Anatolij A. Karatsuba; Melvyn B. Nathanson	1992	866
3	The pair correlation of zeros of the zeta function DOI	Hugh L. Montgomery	1973	484
4	Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes DOI	G. H. Hardy; J. E. Littlewood	1916	442
5	On the Distribution of Spacings Between Zeros of the Zeta Function DOI	Andrew M. Odlyzko	1987	428
6	Zeroes of zeta functions and symmetry DOI	Nicholas Katz; Peter Sarnak	1999	426
7	Limit Theorems for the Riemann Zeta-Function DOI	Antanas P Laurincikas	1996	373
8	Distribution Functions and the Riemann Zeta Function DOI	Børge Jessen; Aurel Wintner	1935	341
9	Theorem on the “Universality” of the Riemann Zeta-function DOI	Сергей Воронин	1975	340
10	Trace formula in noncommutative geometry and the zeros of the Riemann zeta function DOI	Alain Connes A	1999	338