Supercongruences for truncated hypergeometric series and p-adic gamma function

DOI10.1017/S0305004118000609MaRDI QIDQ5207976

Neelam Saikia, Rupam Barman

Publication date: 14 January 2020

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

Full work available at URL: https://arxiv.org/abs/1507.07391

zbMATH Keywords

supercongruencestruncated hypergeometric series\(p\)-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 (10)

Proof of some conjectural supercongruences of Guo and Schlosser ⋮ Unnamed Item ⋮ A local-global theorem for \(p\)-adic supercongruences ⋮ Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations ⋮ Proof of a supercongruence conjecture of He ⋮ Some numeric hypergeometric supercongruences ⋮ On two conjectural supercongruences of Z.-W. Sun ⋮ Another proof of a supercongruence conjecture of Z.-W. Sun ⋮ Supercongruences concerning truncated hypergeometric series ⋮ Some supercongruences related to truncated hypergeometric series

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