S. Garcia

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20222026

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math.NT2026

Explicit upper and lower bounds on certain functions related to $ζ (s)$ for $s > 1$

Stephan Ramon Garcia, Loïc Grenié, Giuseppe Molteni

We provide explicit upper and lower bounds for certain commonly occurring expressions that involve the Riemann zeta function $ζ (s)$ and its derivatives on $s > 1$ . For example, this…

math.NT2025

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

Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee +1

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 presente…

Explicit upper and lower bounds on certain functions related to ζ(s) for s>1

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

Explicit upper and lower bounds on certain functions related to $ζ (s)$ for $s > 1$

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