Congruences from $q$-Catalan Identities

DOI10.22108/toc.2016.20358zbMath1463.11061OpenAlexW2515902486MaRDI QIDQ5134460

Qing Zou

Publication date: 16 November 2020

Full work available at URL: https://doaj.org/article/919a45756bdd42f7829a430b44c6e0ac

zbMATH Keywords

congruencesCatalan numbers\(q\)-integercyclotomic polynomial\(q\)-Catalan identities

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

Several identities and relations related to \(q\)-analogues of Pochhammer \(k\)-symbol with applications to Fuss-Catalan-Qi numbers ⋮ Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers

Cites Work

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• \(q\)-analogs of some congruences involving Catalan numbers
• q-Catalan numbers
• Catalan numbers, \(q\)-Catalan numbers and hypergeometric series
• On the difference of successive Gaussian polynomials
• \(q\)-analogue of a binomial coefficient congruence
• q-Catalan Identities
• Catalan Numbers

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