English

Selberg's Central Limit Theorem for Dirichlet $L$-functions of $q$-aspect

Number Theory 2025-10-23 v3

Abstract

We give a simple proof of Selberg's central limit theorem for Dirichlet LL-functions for qq-aspect by following the method established by Radiwi\l\l\space and Soundararajan.

Keywords

Cite

@article{arxiv.2105.01251,
  title  = {Selberg's Central Limit Theorem for Dirichlet $L$-functions of $q$-aspect},
  author = {Madhuparna Das},
  journal= {arXiv preprint arXiv:2105.01251},
  year   = {2025}
}

Comments

The problem definition is incorrect. The avarage over character sum is not correctly defined