Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus
Number Theory
2024-12-04 v1
Abstract
We establish lower bounds for the -th moment of central values of the family of primitive Dirichlet -functions to a fixed prime modulus for all real , assuming the non-vanishing of these -values.
Cite
@article{arxiv.2412.02080,
title = {Lower bounds for negative moments of Dirichlet $L$-functions to a fixed modulus},
author = {Peng Gao},
journal= {arXiv preprint arXiv:2412.02080},
year = {2024}
}
Comments
6 pages