A q-analogue of Apagodu–Zeilberger congruence

DOI10.1142/S1793042117501172zbMath1411.11022OpenAlexW2592082810MaRDI QIDQ5357498

Ji-Chun Liu

Publication date: 8 September 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042117501172

zbMATH Keywords

congruencescyclotomic polynomials\(q\)-Catalan numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (1)

A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients

Cites Work

• Unnamed Item
• \(q\)-analogs of some congruences involving Catalan numbers
• Some \(q\)-analogues of supercongruences of Rodriguez-Villegas
• Some congruences involving central \(q\)-binomial coefficients
• q-Catalan numbers
• An analogue of Kummer congruences for \(q\)-Euler numbers
• Some q-analogs of congruences for central binomial sums
• Using the “Freshman′s Dream” to Prove Combinatorial Congruences
• A q-analogue of Lehmer's congruence

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