Supercongruences related to 3F2(1) involving harmonic numbers

DOI10.1142/S1793042118500689zbMath1421.11008arXiv1701.00729WikidataQ114071993 ScholiaQ114071993MaRDI QIDQ4639970

Roberto Tauraso

Publication date: 15 May 2018

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

Full work available at URL: https://arxiv.org/abs/1701.00729

zbMATH Keywords

hypergeometric seriessupercongruencesharmonic numbers\(p\)-adic gamma function

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (12)

A local-global theorem for \(p\)-adic supercongruences ⋮ Infinite series involving harmonic numbers of convergence rate 1/2 ⋮ Infinite series around multinomial coefficients and harmonic numbers ⋮ Unnamed Item ⋮ Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations ⋮ Supercongruences for truncated Appell series ⋮ New series involving harmonic numbers and squared central binomial coefficients ⋮ A supercongruence involving cubes of Catalan numbers ⋮ Supercongruences concerning truncated hypergeometric series ⋮ Some supercongruences on truncated hypergeometric series ⋮ Symbolic summation methods and congruences involving harmonic numbers ⋮ Congruences for certain families of Apéry-like sequences

Cites Work

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• A new series for π³and related congruences
• Abel's Lemma and Identities on Harmonic Numbers
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