A search for c-Wieferich primes

DOI10.1142/S1793042121500500zbMath1489.11204arXiv2011.11727OpenAlexW3114692596MaRDI QIDQ5009087

Jonas Bergström, Alex Samuel Bamunoba

Publication date: 19 August 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.11727

zbMATH Keywords

Carlitz moduleArtin-Schreier polynomialsc-Wieferich primesG-fixed polynomials

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Arithmetic theory of polynomial rings over finite fields (11T55) Primes (11A41)

Uses Software

• SageMath

Cites Work

• A note on Carlitz Wieferich primes
• On the action of \(\text{GL}_2(\mathbb F_q)\) on irreducible polynomials over \(\mathbb F_q\)
• Carlitz module analogues of Mersenne primes, Wieferich primes, and certain prime elements in cyclotomic function fields
• The action of \(\mathrm{GL}_2(\mathbb{F}_q)\) on irreducible polynomials over \(\mathbb{F}_q\), revisited
• Fermat versus Wilson congruences, arithmetic derivatives and zeta values
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