Who's Who in Landau's Problems Research
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Recent papers

Recent papers on Landau's problems on prime numbers, 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.

#TitleAuthorsPublishedBest rank
1Rough numbers between consecutive primesAyla Gafni, Terence Tao2025-08#3
2The Exceptional Set in Goldbach's Problem with two Chen PrimesLasse Grimmelt, Joni Teräväinen2025-08#7
3Diophantine approximation with primes from short intervalsStephan Baier, Sayantan Roy2025-12#10
4The average number of representations of an integer as a sum of two prime powers over multiples of a fixed integerAlessandra Migliaccio, Alessandro Zaccagnini2026-03#18
5Theorem $(1+1.9)$ on the Goldbach ConjectureJiamin Li, Jianya Liu2026-06#30
6Binomial coefficients with divisors avoiding an intervalHung M. Bui, Kyle Pratt, Alexandru Zaharescu2026-05#44
7An Explicit Result for the Sum of Two Almost PrimesAdrian Dudek, Lachlan Dunn2026-02#45
8Estimating the tail of the singular product in the multivariate Bateman-Horn conjectureVictor Volfson2026-04#51
9Representations of positive integers by three almost-prime squaresYue-Feng She, Yu-Chen Sun, Guang-Liang Zhou2026-06#55
10Short Exponential Sums and Ternary Correlations of Multiplicative FunctionsJiseong Kim2026-03#65
11On binary correlations of Fourier coefficients of holomorphic cusp forms at prime argumentsJiseong Kim, Kunjakanan Nath2025-11#65
12On Averages of Shifted Convolutions with Applications to $GL(2)$ and $GL(3)$ Fourier CoefficientsJiseong Kim2025-09#65
13An update on the Linnik--Goldbach and Romanov problemsDaniel R. Johnston, Tim Trudgian2026-05#68
14Sierpinski's Hypothesis H1Matt Visser2025-12#79
15A new class of Correlations insisting on Ramanujan expansionsGiovanni Coppola2026-02#82

Most cited (all time)

The ten most-cited Mathematics works on Landau's problems on prime numbers, 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.

#TitleAuthorsYearCitations
1Bounded gaps between primes DOIZhang Yitang2014463
2Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸ DOITomás Oliveira e Silva; Siegfried Herzog; Silvio Pardi2013165
3The ternary Goldbach conjecture is true DOIH. A. Helfgott201399
4Verifying the Goldbach conjecture up to 4⋅10¹⁴ DOIJ. Richstein200064
5Irregularities in the distribution of primes and twin primes DOIRichard P. Brent197555
6Average twin prime conjecture for elliptic curves DOIAntal Balog; Alina-Carmen Cojocaru; Chantal David201150
7Evaluation of Artin’s constant and the twin-prime constant DOIJohn W. Wrench196148
8Chen's double sieve, Goldbach's conjecture and the twin prime problem DOIJie Wu200447
9Bounded gaps between primes with a given primitive root DOIPaul Pollack201439
10On the Vinogradov bound in the three primes Goldbach conjecture DOIMengmeng Liu; Tianze Wang200236