Supercongruences concerning truncated hypergeometric series

DOI10.1007/s00209-021-02772-0zbMath1498.11070arXiv1806.02735OpenAlexW3173008047MaRDI QIDQ2070925

Yanyan Li

Publication date: 25 January 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02735

zbMATH Keywords

Legendre curvessupercongruencesharmonic numberstruncated hypergeometric seriesPochhammer symbol\(p\)-adic gamma functionKarlsson-Minton formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items

A parametric congruence motivated by Orr's identity, A local-global theorem for \(p\)-adic supercongruences, Proof of some supercongruences concerning truncated hypergeometric series, Some congruences from the Karlsson-Minton summation formula, Some parametric congruences involving generalized central trinomial coefficients, Some \(q\)-supercongruences from Gasper's Karlsson-Minton type summation, Factors of certain basic hypergeometric sums, A new \(q\)-extension of the (H.2) congruence of Van Hamme for primes \(p\equiv 1\pmod{4}\), Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme, A \(q\)-supercongruence from a \(q\)-analogue of Whipple's \({}_3F_2\) summation formula

Uses Software

• MHS

Cites Work

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