Function field analogues of Bang--Zsigmondy\'s theorem and Feit\'s theorem

DOI10.1512/iumj.2016.65.5930zbMath1364.11147arXiv1502.06725OpenAlexW2963693762MaRDI QIDQ2963315

Ngoc Dong Quan Nguyen

Publication date: 13 February 2017

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06725

zbMATH Keywords

Carlitz modulecyclotomic function fieldsglobal function fieldsBang-Zsigmondy's theoremZsigmondy primesFeit's theorem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60)

Related Items (4)

Diophantine approximation and primitive prime divisors in random iterations ⋮ Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings ⋮ On the integral divisors of the Carlitz analogue of $a^n-b^n$ ⋮ Primitive prime divisors in backward orbits

Uses Software

• Magma

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