A supercongruence involving cubes of Catalan numbers

zbMath1469.11033arXiv1806.10896MaRDI QIDQ5148725

Roberto Tauraso

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1806.10896

zbMATH Keywords

hypergeometric seriesCatalan numberssupercongruencesharmonic numbers\(p\)-adic Gamma functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items (2)

A local-global theorem for \(p\)-adic supercongruences ⋮ Supercongruences involving products of three binomial coefficients

Cites Work

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• On sums of Apéry polynomials and related congruences
• On congruences related to central binomial coefficients
• On the divisibility of some truncated hypergeometric series
• Supercongruences related to 3F2(1) involving harmonic numbers

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