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

Journal of Number Theory 2026 Open access

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Authors: Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee, Giuseppe Molteni
DOI: 10.1016/j.jnt.2026.08.010
Cited by: 0

Abstract

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

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Identities Limits and Structures in Graph Theory

Publication details

Journal / source
Journal of Number Theory
Publication date
1 September 2026
Language
EN