\(q\)-generalizations of Mortenson's identities and further identities

DOI10.1007/s11139-013-9526-7zbMath1306.05016OpenAlexW2070238646MaRDI QIDQ2254854

Xiaona Fan, Qinglun Yan, Chuanan Wei

Publication date: 6 February 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-013-9526-7

zbMATH Keywords

supercongruencesharmonic numberMortenson's identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

Some generalized q-harmonic number identities ⋮ Summation formulas involving generalized harmonic numbers ⋮ An extension for Rice's integral and applications ⋮ Watson-type₃F₂-series and summation formulae involving generalized harmonic numbers

Cites Work

• A binomial coefficient identity associated to a conjecture of Beukers
• A binomial coefficient identity associated with Beukers' conjecture on {A}péry numbers
• On a supercongruence conjecture of Rodriguez-Villegas
• Binomial Coefficient – Harmonic Sum Identities Associated to Supercongruences
• EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
• Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
• A Gaussian hypergeometric series evaluation and Apéry number congruences
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