On some conjectural supercongruences for sums involving certain rising factorials

DOI10.1007/s00025-021-01469-4zbMath1472.11016OpenAlexW3180428165MaRDI QIDQ2044592

Arijit Jana, Gautam Kalita

Publication date: 10 August 2021

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

Full work available at URL: https://doi.org/10.1007/s00025-021-01469-4

zbMATH Keywords

supercongruences\(p\)-adic gamma functionrising factorial

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)

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Supercongruences motivated by some generalized Van Hamme type supercongruences

Cites Work

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