S. Garcia

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20222026

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math.NT2026

Bounds for the residue of Dedekind zeta functions under GRH and applications

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

Let $κ_{K}$ be the residue at $1$ of the Dedekind zeta function of a number field $K$ . We prove explicit upper and lower bounds for $κ_{K}$ under the Gen…

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…

Bounds for the residue of Dedekind zeta functions under GRH and applications

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

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