Giuseppe Molteni

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20222026

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math.CA2026

A sharp Mittag-Leffler bound for series with separated exponents

Giuseppe Molteni

Let $η \geq 0$ and $δ > 0$ , and let $(r_{j})_{j \geq 0}$ be a sequence of real numbers satisfying $η \leq r_{0} < r_{1} < r_{2} < \dots$ and $r_{j + 1} - r_{j} \geq δ$ for every $j \geq 0$ . We prove…

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…

A sharp Mittag-Leffler bound for series with separated exponents

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 $s > 1$