Recent papers
Recent papers on Legendre's conjecture, 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 | Higher uniformity of arithmetic functions in short intervals II. Almost all intervals | Kaisa Matomäki, Maksym Radziwiłł, Xuancheng Shao, Terence Tao, Joni Teräväinen | 2024-11 | #1 |
| 2 | On the frequency of small gaps between the primes | Akos Magyar, Janos Pintz | 2025-05 | #2 |
| 3 | On the number of exceptional intervals to the prime number theorem in short intervals | Ayla Gafni, Terence Tao | 2025-05 | #7 |
| 4 | On the largest prime factor of integers in short intervals III | Runbo Li | 2026-01 | #9 |
| 5 | Diophantine approximation with primes from short intervals | Stephan Baier, Sayantan Roy | 2025-12 | #21 |
| 6 | Small solutions of generic ternary quadratic congruences to general moduli | Stephan Baier, Aishik Chattopadhyay | 2024-08 | #21 |
| 7 | On Averages of Shifted Convolutions with Applications to $GL(2)$ and $GL(3)$ Fourier Coefficients | Jiseong Kim | 2025-09 | #23 |
| 8 | Goldbach's Problem in short intervals for numbers with a missing digit | Jiseong Kim | 2024-12 | #23 |
| 9 | Sierpinski's Hypothesis H1 | Matt Visser | 2025-12 | #34 |
| 10 | Effective short intervals containing primes | Matt Visser | 2025-08 | #34 |
| 11 | The n-th prime exponentially | Matt Visser | 2025-04 | #34 |
| 12 | The behaviour of a certain additive function in large intervals between consecutive primes | Michael Th. Rassias | 2024-08 | #43 |
| 13 | Répartition conjointe de trois nombres premiers et applications | Régis de la Bretèche | 2024-10 | #44 |
| 14 | A Formal Proof of the Irrationality of $ζ(3)$ in Lean 4 | Junqi Liu, Jujian Zhang, Lihong Zhi | 2025-02 | #50 |
| 15 | Closed geodesics in short intervals for random hyperbolic surfaces | Zeev Rudnick | 2026-05 | #56 |
Most cited (all time)
The ten most-cited Mathematics works on Legendre's conjecture, 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.