collaborators

4 papers

math.NT2026

Explicit upper and lower bounds on certain functions related to for

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 and its derivatives on . For example, this…

math.NT2026

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

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

We prove new explicit conditional bounds for the residue at of the Dedekind zeta-function associated to a number field. Our bounds are concrete and all constants are presente…

math.NT2025

A lower bound for the number of Egyptian fractions

Sandro Bettin, Loïc Grenié, Giuseppe Molteni +1

An Egyptian fraction is a sum of the form where are distinct positive integers. We prove explicit lower bounds for the cardinality of the…

math.NT2025

Breaking the 4 barrier for the bound of a generating set of the class group

Loïc Grenié, Giuseppe Molteni

Let be a field of degree and discriminant with absolute value . Under the assumption of the validity of the Generalized Riemann Hypothesis, we provide a new algorithm t…