Wieferich and Mersenne primes for function fields
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917133564248064 |
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| author | Lucas, Alexis |
| author_facet | Lucas, Alexis |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08060 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wieferich and Mersenne primes for function fields Lucas, Alexis Number Theory 11G09, 11A99, 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. |
| title | Wieferich and Mersenne primes for function fields |
| topic | Number Theory 11G09, 11A99, |
| url | https://arxiv.org/abs/2512.08060 |