Upper bounds for moments of Dirichlet $L$-functions to a fixed modulus
Number Theory
2025-11-25 v2
Abstract
We study the -th moment of central values of the family of Dirichlet -functions to a fixed prime modulus and establish sharp upper bounds for all real .
Keywords
Cite
@article{arxiv.2504.17905,
title = {Upper bounds for moments of Dirichlet $L$-functions to a fixed modulus},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2504.17905},
year = {2025}
}
Comments
11 pages, revised according to the referee's comments and suggestions