Mean square values of Dirichlet $L$-functions associated to fixed order characters
Number Theory
2023-11-06 v1
Abstract
The main purpose of this paper is to establish bounds on the second moment of , averaged over families of fixed order characters. A discrete version of the main result is also stated, from which zero-density estimates pertaining to fixed order characters are derived.
Keywords
Cite
@article{arxiv.2310.16511,
title = {Mean square values of Dirichlet $L$-functions associated to fixed order characters},
author = {C. C. Corrigan},
journal= {arXiv preprint arXiv:2310.16511},
year = {2023}
}