Giuseppe Molteni

activity

20222026

collaborators

5 papers

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…

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…

math.FA2024

A one parameter family of Volterra-type operators

Francesco Battistoni, Giuseppe Molteni

For every $α \in (0, + \infty)$ and $p, q \in (1, + \infty)$ let $T_{α}$ be the operator $L^{p} [0, 1] \to L^{q} [0, 1]$ defined via the equality $(T_{α} f) (x) := \int_{0}^{x^{α}} f (y) d y$ . We study the…

math.NT2022

Generalized Pohst inequality and small regulators