Wieferich and Mersenne primes for function fields
Number Theory
2025-12-10 v1
Abstract
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 introduce Mersenne numbers for Drinfeld modules, and study the links between these two notions.
Keywords
Cite
@article{arxiv.2512.08060,
title = {Wieferich and Mersenne primes for function fields},
author = {Alexis Lucas},
journal= {arXiv preprint arXiv:2512.08060},
year = {2025}
}
Comments
11 pages