Some congruences on \(q\)-Franel numbers and \(q\)-Catalan numbers

DOI10.1007/s13226-019-0316-9zbMath1425.11033OpenAlexW2920785725WikidataQ128302728 ScholiaQ128302728MaRDI QIDQ2327584

Hongcun Zhai, Bing He, Long Li

Publication date: 15 October 2019

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-019-0316-9

zbMATH Keywords

\(q\)-congruence\(q\)-Catalan numbers\(q\)-Franel numbers

Mathematics Subject Classification ID

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

Cites Work

• Congruences for Franel numbers
• Some congruences involving central \(q\)-binomial coefficients
• Proof of two conjectures of Sun on congruences for Franel numbers
• NEW CONGRUENCES FOR SUMS INVOLVING APÉRY NUMBERS OR CENTRAL DELANNOY NUMBERS
• Open Conjectures on Congruences
• Factors of sums of powers of binomial coefficients
• A q-analogue of Lehmer's congruence
• Generalized Powers
• Supercongruences for the Catalan-Larcombe-French numbers
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