English

Correlations between primes in short intervals on curves over finite fields

Number Theory 2017-08-25 v1 Algebraic Geometry

Abstract

We prove an analogue of the Hardy-Littlewood conjecture on the asymptotic distribution of prime constellations in the setting of short intervals in function fields of smooth projective curves over finite fields.

Keywords

Cite

@article{arxiv.1708.07491,
  title  = {Correlations between primes in short intervals on curves over finite fields},
  author = {Efrat Bank and Tyler Foster},
  journal= {arXiv preprint arXiv:1708.07491},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T21:22:55.522Z