English

Explicit bounds on exceptional zeroes of Dirichlet $L$-functions

Number Theory 2019-04-03 v2

Abstract

The aim of this paper is to improve the upper bound for the exceptional zeroes β0\beta_0 of Dirichlet LL-functions. We do this by improving on explicit estimate for L(σ,χ)L'(\sigma, \chi) for σ\sigma close to unity.

Keywords

Cite

@article{arxiv.1809.05226,
  title  = {Explicit bounds on exceptional zeroes of Dirichlet $L$-functions},
  author = {Matteo Bordignon},
  journal= {arXiv preprint arXiv:1809.05226},
  year   = {2019}
}
R2 v1 2026-06-23T04:06:08.405Z