Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields
Number Theory
2025-05-02 v2
Abstract
In this paper, we establish sharp upper bounds on shifted moments of the family of Dirichlet -functions to a fixed modulus over function fields. We apply the result to obtain upper bounds on moments of Dirichlet character sums over function fields.
Keywords
Cite
@article{arxiv.2406.19606,
title = {Upper bounds for shifted moments of Dirichlet $L$-functions to a fixed modulus over function fields},
author = {Stephan Baier and Peng Gao},
journal= {arXiv preprint arXiv:2406.19606},
year = {2025}
}
Comments
9 pages