On the integral divisors of the Carlitz analogue of $a^n-b^n$

DOI10.4064/aa170103-19-6zbMath1451.11125OpenAlexW2764001767MaRDI QIDQ5237105

Alex Samuel Bamunoba

Publication date: 16 October 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170103-19-6

zbMATH Keywords

Carlitz modulecyclotomic polynomialsCarlitz polynomialsBang-Zsigmondt 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 (1)

Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings

Cites Work

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• On some properties of Carlitz cyclotomic polynomials
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• Function field analogues of Bang--Zsigmondy\'s theorem and Feit\'s theorem
• Ein Einfacher Beweis für den Satz von Zsigmondy über primitive Primeiler von AN-1
• My Numbers, My Friends
• The orders of the linear groups

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