Recent papers
Recent papers on Legendre's conjecture, surfaced by the prominence of their authors in this directory.
Showing 12 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 | On the largest prime factor of integers in short intervals III | Runbo Li | 2026-01 | #10 |
| 2 | Sierpinski's Hypothesis H1 | Matt Visser | 2025-12 | #20 |
| 3 | Effective short intervals containing primes | Matt Visser | 2025-08 | #20 |
| 4 | On Averages of Shifted Convolutions with Applications to $GL(2)$ and $GL(3)$ Fourier Coefficients | Jiseong Kim | 2025-09 | #26 |
| 5 | Diophantine approximation with primes from short intervals | Stephan Baier, Sayantan Roy | 2025-12 | #32 |
| 6 | On Sidon sets with squares, cubes and quartics in short intervals | M. Z. Garaev, F. M. Garayev, S. V. Konyagin | 2026-02 | #36 |
| 7 | Closed geodesics in short intervals for random hyperbolic surfaces | Zeev Rudnick | 2026-05 | #42 |
| 8 | Piatetski-Shapiro Primes in short intervals | Lingyu Guo, Victor Zhenyu Guo | 2026-05 | #54 |
| 9 | Exponential sums with polynomials and their applications to primes in sparse sets | Lingyu Guo, Victor Zhenyu Guo, Mengyao Jing | 2025-10 | #54 |
| 10 | On Goldbach numbers in short intervals | Andrés Chirre, Markus Valås Hagen | 2025-12 | #72 |
| 11 | Surviving Eratosthenes sieve I: quadratic density and Legendre's conjecture | Fred B. Holt | 2026-03 | #74 |
| 12 | Joint distributions of error terms for primes in arithmetic progressions modulo 11 | Kübra Benli, Greg Martin, Paul Péringuey | 2025-10 | #75 |
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.