English

Non-vanishing of Dirichlet $L$-functions with smooth conductors

Number Theory 2025-02-17 v2

Abstract

Given a large, square-free, smooth conductor, we establish the non-vanishing of the central values for at least 35.9%35.9\% of the primitive Dirichlet LL-functions.

Keywords

Cite

@article{arxiv.2410.01713,
  title  = {Non-vanishing of Dirichlet $L$-functions with smooth conductors},
  author = {Sun-Kai Leung},
  journal= {arXiv preprint arXiv:2410.01713},
  year   = {2025}
}

Comments

11 pages; to appear in Ramanujan J