Supercongruences on truncated hypergeometric series

DOI10.1007/s00025-016-0635-7zbMath1407.11007OpenAlexW3158709926MaRDI QIDQ2406988

Bing He

Publication date: 4 October 2017

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

Full work available at URL: https://doi.org/10.1007/s00025-016-0635-7

zbMATH Keywords

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

Mathematics Subject Classification ID

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) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items (9)

Some congruences on conjectures of van Hamme ⋮ On some conjectures of Swisher ⋮ NEW GENERALISATIONS OF VAN HAMME’S (G.2) SUPERCONGRUENCE ⋮ Unnamed Item ⋮ On a congruence conjecture of Swisher ⋮ Proof of a supercongruence conjecture of He ⋮ \(q\)-analogues of two Ramanujan-type supercongruences ⋮ \(q\)-supercongruences on triple and quadruple sums ⋮ Some supercongruences related to truncated hypergeometric series

Cites Work

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