English

Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives

Number Theory 2026-04-07 v1

Abstract

In this paper, we establish joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives using the resonance method. Our results extend previous work of Aistleitner et al. (2019) and Yang (2023).

Keywords

Cite

@article{arxiv.2604.04510,
  title  = {Joint extreme values of Dirichlet (L)-functions and their logarithmic derivatives},
  author = {Shengbo Zhao},
  journal= {arXiv preprint arXiv:2604.04510},
  year   = {2026}
}