Binomial and factorial congruences for \(\mathbb F_q[t]\)

DOI10.1016/J.FFA.2011.08.003zbMath1303.11128OpenAlexW2208319914MaRDI QIDQ765800

Dinesh S. Thakur

Publication date: 22 March 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.08.003

zbMATH Keywords

Carlitz moduleBernoulli numbersWilson's theoremcongruence functions fieldsfactorials, congruencesLucas theorem

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Arithmetic theory of algebraic function fields (11R58) Congruences; primitive roots; residue systems (11A07) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

Polynomial analogue of the Smarandache function ⋮ The distribution of the Carlitz binomial coefficients modulo a prime ⋮ Fermat versus Wilson congruences, arithmetic derivatives and zeta values

Cites Work

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• The Factorial Function and Generalizations
• P-orderings and polynomial functions on arbitrary subsets of Dedekind rings.

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