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arXiv · 2506.17416

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

Stephan Ramon Garcia·Loïc Grenié·Ethan Simpson Lee·Giuseppe Molteni
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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.

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Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee, Giuseppe Molteni. 2025-06-20. Explicit conditional bounds for the residue of a Dedekind zeta-function at $s=1$. https://arxiv.org/abs/2506.17416

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