An algebraic identity on \(q\)-Apéry numbers

DOI10.1016/j.disc.2011.08.004zbMath1242.05007OpenAlexW2086822379MaRDI QIDQ409411

De-Yin Zheng

Publication date: 13 April 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.08.004

zbMATH Keywords

algebraic identity\(q\)-binomial coefficients\(q\)-harmonic numbers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19)

Related Items (3)

Extensions of some known algebraic and combinatorial identities ⋮ Supercongruences for polynomial analogs of the Apéry numbers ⋮ q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

Cites Work

• Determinant expressions for \(q\)-harmonic congruences and degenerate Bernoulli numbers
• \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
• A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
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