Extreme values of quadratic Dirichlet $L$-functions with prime-related moduli

Zikang Dong; Weijia Wang; Hao Zhang; Shengbo Zhao

Extreme values of quadratic Dirichlet $L$-functions with prime-related moduli

Number Theory 2026-07-28 v1

Authors: Zikang Dong , Weijia Wang , Hao Zhang , Shengbo Zhao

Abstract

In this paper, we show a new lower bound for extreme values of quadratic Dirichlet $L$ -functions with prime-related moduli, which generalizes the work of Darbar and Maiti in 2025, and sharpens a recent work of Gao in 2026.

Keywords

Dirichlet L-functions extreme values quadratic characters prime moduli lower bounds

Cite

@article{arxiv.2607.25403,
  title  = {Extreme values of quadratic Dirichlet $L$-functions with prime-related moduli},
  author = {Zikang Dong and Weijia Wang and Hao Zhang and Shengbo Zhao},
  journal= {arXiv preprint arXiv:2607.25403},
  year   = {2026}
}

Comments

7 pages