Proof of a conjecture of Adamchuk

DOI10.1016/j.jcta.2021.105478zbMath1468.11008arXiv2003.09810OpenAlexW3161080524WikidataQ113871626 ScholiaQ113871626MaRDI QIDQ2037187

Guo-Shuai Mao

Publication date: 30 June 2021

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09810

zbMATH Keywords

hypergeometric functionscongruences\(p\)-adic gamma function

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Classical hypergeometric functions, ({}_2F_1) (33C05) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items (3)

Proof of a conjecture of Sun and its extension by Guo ⋮ Three pairs of congruences concerning sums of central binomial coefficients ⋮ On a supercongruence conjecture of Z.-W. Sun

Uses Software

• DLMF
• SIGMA
• OEIS

Cites Work

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• On some congruences involving Domb numbers and harmonic numbers
• Some congruences related to a congruence of Van Hamme

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