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\(q\)-analogue of a binomial coefficient congruence

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Publication:1345796
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DOI10.1155/S016117129500024XzbMath0816.05009OpenAlexW2146410831MaRDI QIDQ1345796

W. Edwin Clark

Publication date: 27 June 1995

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47180


zbMATH Keywords

binomial coefficientcongruence\(q\)-analoguecyclotomic polynomial


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)


Related Items

A congruence involving products of \(q\)-binomial coefficients ⋮ A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients ⋮ \(q\)-analogs of some congruences involving Catalan numbers ⋮ A q-analogue of the (I.2) supercongruence of Van Hamme ⋮ Congruences from $q$-Catalan Identities ⋮ A generalization of the Gaussian formula and a \(q\)-analog of Fleck's congruence ⋮ q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon ⋮ \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher



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