Some congruences on \(q\)-Catalan numbers

DOI10.1007/s11139-015-9734-4zbMath1358.11033OpenAlexW2475344692MaRDI QIDQ276614

Bing He, Kan Wang

Publication date: 4 May 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9734-4

zbMATH Keywords

\(q\)-congruence\(q\)-Catalan number\(q\)-binomial theorem

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (3)

Congruences with $q$-generalized Catalan numbers and $q$-harmonic numbers;Congruences with q- generalized Catalan Numbers and q-Harmonic Numbers ⋮ A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients ⋮ On \(q\)-congruences involving harmonic numbers

Cites Work

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• Some identities involving the partial sum of \(q\)-binomial coefficients
• \(q\)-analogs of some congruences involving Catalan numbers
• On congruences related to central binomial coefficients
• Some \(q\)-analogues of supercongruences of Rodriguez-Villegas
• Some congruences involving central \(q\)-binomial coefficients
• Some arithmetic properties of the \(q\)-Euler numbers and \(q\)-Salié numbers
• On the q-analog of Kummer's theorem and applications
• q-Catalan Identities
• Open Conjectures on Congruences

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