Distribution of Dirichlet $L$-functions

Zikang Dong; Weijia Wang; Hao Zhang

Distribution of Dirichlet $L$-functions

Number Theory 2022-09-23 v1

Authors: Zikang Dong , Weijia Wang , Hao Zhang

Abstract

In this article, we study the distribution of values of Dirichlet $L$ -functions, the distribution of values of the random models for Dirichlet $L$ -functions, and the discrepancy between these two kinds of distributions. For each question, we consider the cases of $\frac12<\RE s<1$ and $\RE s=1$ separately.

Keywords

probability distribution dirichlet characters l-functions

Cite

@article{arxiv.2209.11059,
  title  = {Distribution of Dirichlet $L$-functions},
  author = {Zikang Dong and Weijia Wang and Hao Zhang},
  journal= {arXiv preprint arXiv:2209.11059},
  year   = {2022}
}

Comments

24 pages

Related papers

View all related →