English

Non-vanishing of Dirichlet $L$-functions at the Central Point

Number Theory 2025-05-29 v2

Abstract

We prove that for at least 719\frac{7}{19} of the primitive Dirichlet characters χ\chi with large general modulus, the central value L(12,χ)L(\frac12,\chi) is non-vanishing.

Keywords

Cite

@article{arxiv.2504.11916,
  title  = {Non-vanishing of Dirichlet $L$-functions at the Central Point},
  author = {Xinhua Qin and Xiaosheng Wu},
  journal= {arXiv preprint arXiv:2504.11916},
  year   = {2025}
}

Comments

23pages, fix some typos in this version