Recent papers
Recent papers on the twin prime 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 | Gilbreath's conjecture: a Cramér random model and a deterministic analysis | Zachary Chase, Zach Hunter, Terence Tao | 2026-07 | #4 |
| 2 | Distribution of random multiplicative functions in short intervals, with proper normalization | Adam J. Harper, Kannan Soundararajan, Max Wenqiang Xu | 2026-06 | #7 |
| 3 | A weaker but simpler sieve inequality | John B. Friedlander | 2026-07 | #8 |
| 4 | On the largest prime factor of integers in short intervals III | Runbo Li | 2026-01 | #11 |
| 5 | Unshared zeros of Dirichlet $L$-functions | William Banks, Kyle Loftus | 2026-07 | #13 |
| 6 | Partial progress towards the large sieve for square moduli | Stephan Baier | 2026-05 | #22 |
| 7 | Diophantine approximation with primes from short intervals | Stephan Baier, Sayantan Roy | 2025-12 | #22 |
| 8 | A new class of Correlations insisting on Ramanujan expansions | Giovanni Coppola | 2026-02 | #24 |
| 9 | Large sieve inequality for sums of Legendre symbols over short intervals | Marc Munsch, Igor Shparlinski, Yu-Chen Sun, Yixiu Xiao | 2026-04 | #30 |
| 10 | Surviving Eratosthenes sieve I: quadratic density and Legendre's conjecture | Fred B. Holt | 2026-03 | #49 |
| 11 | Theorem $(1+1.9)$ on the Goldbach Conjecture | Jiamin Li, Jianya Liu | 2026-06 | #70 |
| 12 | Primes in LCM recurrences | Benoit Cloitre | 2025-10 | #94 |
Most cited (all time)
The ten most-cited Mathematics works on the twin prime 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.