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arXiv · 2512.08060

Wieferich and Mersenne primes for function fields

Alexis Lucas
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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.

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Alexis Lucas. 2025-12-08. Wieferich and Mersenne primes for function fields. https://arxiv.org/abs/2512.08060

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