English

Explicit conditional bounds for the residue of a Dedekind zeta-function at $s=1$

Number Theory 2026-03-11 v3

Abstract

We prove new explicit conditional bounds for the residue at s=1s=1 of the Dedekind zeta-function associated to a number field. Our bounds are concrete and all constants are presented with explicit numerical values.

Keywords

Cite

@article{arxiv.2506.17416,
  title  = {Explicit conditional bounds for the residue of a Dedekind zeta-function at $s=1$},
  author = {Stephan Ramon Garcia and Loïc Grenié and Ethan Simpson Lee and Giuseppe Molteni},
  journal= {arXiv preprint arXiv:2506.17416},
  year   = {2026}
}

Comments

15 pages