A. Lucas

collaborators

3 papers

math.NT2025

Wieferich and Mersenne primes for function fields

Alexis Lucas

We study properties of recently introduced Wieferich primes for Drinfeld modules, as their relation with Fermat equations and finitess or non-finiteness of their number. We also in…

math.NT2025

A P-adic class formula for Anderson t-modules

Alexis Lucas

Let $P$ be a monic prime of $F_{q} [θ]$ , we define the $P$ -adic $L$ -series associated with Anderson $t$ -modules and prove a $P$ -adic class formula à la Taelman linking a $P$ -a…

math.NT2024

Wieferich primes for Drinfeld modules

Xavier Caruso, Quentin Gazda, Alexis Lucas

The aim of this paper is to discuss the notion of Wieferich primes in the context of Drinfeld modules. Our main result is a surprising connection between the proprety of a monic ir…