Some \(q\)-supercongruences related to Van Hamme's (C.2) supercongruence
DOI10.1016/j.jmaa.2023.127402zbMath1523.11004OpenAlexW4376276525MaRDI QIDQ6111120
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127402
basic hypergeometric seriescyclotomic polynomial\(q\)-supercongruencecreative microscoping method\(q\)-Lucas theoremJackson's \(_6\phi_5\) summation
(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Cites Work
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- A variation of the \(q\)-Wolstenholme theorem
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