Supercongruences and truncated hypergeometric series

DOI10.1090/proc/13305zbMath1415.11009OpenAlexW4240667320MaRDI QIDQ5298176

Bing He

Publication date: 14 December 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13305

zbMATH Keywords

truncated hypergeometric seriessupercongruence\(p\)-adic Gamma function

Mathematics Subject Classification ID

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 (9)

A local-global theorem for \(p\)-adic supercongruences ⋮ \(q\)-supercongruences from gasper and Rahman's summation formula ⋮ Some \(q\)-supercongruences from the Gasper and Rahman quadratic summation ⋮ Three families of \(q\)-supercongruences from a quadratic transformation of Rahman ⋮ On the divisibility of some truncated hypergeometric series ⋮ Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations ⋮ On some supercongruences concerning truncated hypergeometric series ⋮ A \(p\)-adic supercongruence for truncated hypergeometric series \({}_7F_6\) ⋮ Supercongruences concerning truncated hypergeometric series

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