English

Moments of Dirichlet $L$-functions to a fixed modulus over function fields

Number Theory 2024-06-04 v3

Abstract

In this paper, we establish the expected order of magnitude of the kkth-moment of central values of the family of Dirichlet LL-functions to a fixed prime modulus over function fields for all real k0k \geq 0.

Keywords

Cite

@article{arxiv.2203.14458,
  title  = {Moments of Dirichlet $L$-functions to a fixed modulus over function fields},
  author = {Peng Gao and Liangyi Zhao},
  journal= {arXiv preprint arXiv:2203.14458},
  year   = {2024}
}

Comments

16 pages

R2 v1 2026-06-24T10:27:46.521Z