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	Short mollifiers of the Riemann zeta-function	J. Brian Conrey, David W. Farmer, Chung-Hang Kwan, Yongxiao Lin, Caroline L. Turnage-Butterbaugh	2025-08	#1
2	Binomial coefficients with divisors avoiding an interval	Hung M. Bui, Kyle Pratt, Alexandru Zaharescu	2026-05	#2
3	Simultaneous non-vanishing of Dirichlet L-functions	Hung M. Bui, Alexandra Florea, Micah B. Milinovich	2026-04	#2
4	Amplified Fourth Moment of the Riemann Zeta-Function and Applications	Hung M. Bui, Richard R. Hall, Martin Subira Jorge	2025-11	#2
5	High moments of random multiplicative functions twisted by Fourier coefficients of modular forms	Peng Gao, Liangyi Zhao	2026-06	#4
6	Shifted moments of modular $L$-functions to a fixed level	Peng Gao, Liangyi Zhao	2026-02	#4
7	First Moment of Quadratic Hecke $L$-Functions with Lower Order Term	Peng Gao, Liangyi Zhao	2025-12	#4
8	Lower Bounds on High Moments of Twisted Fourier coefficients of Modular Forms	Peng Gao, Liangyi Zhao	2025-11	#4
9	The mollified fourth moment of Dirichlet $L$-functions	Peng Gao, Xiaosheng Wu, Liangyi Zhao	2025-09	#4
10	Shifted moments of cubic and quartic Dirichlet $L$-functions	Peng Gao, Liangyi Zhao	2025-08	#4
11	Zeta Zeros in a Narrow Vertical Box	Daniel A. Goldston, Ade Irma Suriajaya	2026-03	#5
12	Zeta Zeros on the Critical Line	Daniel A. Goldston, Ade Irma Suriajaya	2025-11	#5
13	The Alternative Hypothesis for Zeros of the Riemann Zeta-Function	Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya, Caroline L. Turnage-Butterbaugh	2025-08	#5
14	One-level densities of large even and odd orthogonal families of automorphic L-functions	Vorrapan Chandee, Xiannan Li, Micah B. Milinovich	2026-05	#8
15	Explicit conditional bounds for $ζ(s)$ at the edge of the critical strip	Andrés Chirre, Blas Molero Ravines	2026-02	#11

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	E. C. Titchmarsh; D. R. Heath‐Brown	1987	3,273
2	The Riemann Zeta Function DOI	Anatolij A. Karatsuba; Melvyn B. Nathanson	1992	904
3	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	454
4	Limit Theorems for the Riemann Zeta-Function DOI	Antanas Laurinčikas	1996	376
5	Theorem on the “Universality” of the Riemann Zeta-function DOI	Сергей Воронин	1975	344
6	Trace formula in noncommutative geometry and the zeros of the Riemann zeta function DOI	Alain Connes	1999	342
7	Distribution functions and the Riemann zeta function DOI	Børge Jessen; Aurel Wintner	1935	331
8	Mean-Value Theorems in the Theory of the Riemann Zeta-Function DOI	A. E. Ingham	1928	277
9	Decoupling, exponential sums and the Riemann zeta function DOI	Jean Bourgain	2016	264
10	Spectral Theory of the Riemann Zeta-Function DOI	Yoichi Motohashi	1997	262