Non-vanishing of Carlitz-Fermat quotients modulo primes

DOI10.1216/RMJ-2016-46-1-125zbMath1346.11062MaRDI QIDQ289705

Ngoc Dong Quan Nguyen

Publication date: 31 May 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1464035855

zbMATH Keywords

Carlitz moduleMersenne primesCarlitz-Fermat quotientsWieferich primes

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

• Carlitz module analogues of Mersenne primes, Wieferich primes, and certain prime elements in cyclotomic function fields
• Explicit Class Field Theory for Rational Function Fields
• On the nonvanishing of Fermat quotients (mod p).
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