Some variations of a ‘divergent’ Ramanujan-type q-supercongruence
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Publication:4991852
DOI10.1080/10236198.2021.1900140zbMath1469.11031arXiv2004.10526OpenAlexW3137941934MaRDI QIDQ4991852
Publication date: 4 June 2021
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.10526
cyclotomic polynomialsWilf-Zeilberger method\(q\)-WZ method\(q\)-WZ paircentral \(q\)-binomial coefficients
Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Related Items (11)
q-Analogues of some supercongruences related to Euler numbers ⋮ Proof of two conjectures of Guo and Schlosser ⋮ Some \(q\)-analogues of supercongruences for truncated \({}_3 F_2\) hypergeometric series ⋮ Some q-supercongruences related to Swisher’s (H.3) conjecture ⋮ Some \(q\)-supercongruences from the Bailey transformation ⋮ \(q\)-analogues of two Ramanujan-type supercongruences ⋮ Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial ⋮ Factors of certain sums involving central \(q\)-binomial coefficients ⋮ Some \(q\)-supercongruences from a quadratic transformation by Rahman ⋮ Some q-congruences on double basic hypergeometric sums ⋮ Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme
Uses Software
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