A. Lucas

activity

20242026

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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…