Products of binomial coefficients modulo p2

DOI10.4064/aa97-1-5zbMath0986.11009OpenAlexW2136304770MaRDI QIDQ2717589

Zhi-Wei Sun

Publication date: 17 June 2001

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

Full work available at URL: https://doi.org/10.4064/aa97-1-5

zbMATH Keywords

Gauss lemmaBernoulli polynomialsFermat quotientEuler polynomialsEuler quotientexact \(m\)-coverproducts of binomial coefficients

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Related Items

A congruence involving products of \(q\)-binomial coefficients, Simple arguments on consecutive power residues, Further properties of a function of Ogg and Ligozat, On the sum \(\sum_{k\equiv r\pmod m}{n\choose k}\) and related congruences., Algebraic approaches to periodic arithmetical maps, On Euler numbers modulo powers of two, Generalizations of Knopp's identity.