Some congruences on truncated hypergeometric series

DOI10.1090/proc/12695zbMath1395.11010OpenAlexW1884996978MaRDI QIDQ3450061

Bing He

Publication date: 2 November 2015

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

Full work available at URL: https://doi.org/10.1090/proc/12695

zbMATH Keywords

hypergeometric seriescongruencestruncated hypergeometric series

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Cites Work

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• Hypergeometric evaluation identities and supercongruences
• On congruences related to central binomial coefficients
• Some \(q\)-analogues of supercongruences of Rodriguez-Villegas
• On the mod \(p^2\) determination of \(\binom{(p-1)/2}{(p-1)/4}\)
• Finding identities with the WZ method
• Super congruences and Euler numbers
• Congruences concerning Legendre polynomials. II
• On the $q$-partial differential equations and $q$-series
• Congruences concerning Legendre polynomials
• A $p$-adic supercongruence conjecture of van Hamme