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A note on Carlitz Wieferich primes

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Publication:503721
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DOI10.1016/j.jnt.2016.09.036zbMath1409.11099OpenAlexW2564995417WikidataQ60692240 ScholiaQ60692240MaRDI QIDQ503721

Alex Samuel Bamunoba

Publication date: 23 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.036


zbMATH Keywords

Carlitz modulecyclotomic function fields\(c\)-Wieferich primesFermat last theorem


Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Arithmetic theory of polynomial rings over finite fields (11T55)


Related Items (2)

On Wieferich and non-Wieferich primes with prime bases ⋮ A search for c-Wieferich primes


Uses Software

  • SageMath


Cites Work

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  • On some properties of Carlitz cyclotomic polynomials
  • Wieferich's criterion and the abc-conjecture
  • On a Fermat equation arising in the arithmetic theory of functions fields
  • On the generalized Wieferich criteria
  • Fermat versus Wilson congruences, arithmetic derivatives and zeta values
  • Handbook of Finite Fields
  • Le Theoreme de Fermat-Goss
  • My Numbers, My Friends




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