Proof of a supercongruence conjecture of He

DOI10.1007/s40993-021-00249-xzbMath1472.11010OpenAlexW3137070426WikidataQ113891357 ScholiaQ113891357MaRDI QIDQ2020003

Gautam Kalita, Arijit Jana, Arjun Singh Chetry

Publication date: 23 April 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40993-021-00249-x

zbMATH Keywords

gamma functionhypergeometric seriessupercongruences

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)

Cites Work

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• On some conjectures of Swisher
• On some supercongruences concerning truncated hypergeometric series
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• Supercongruences for sums involving rising factorial

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