Some q-supercongruences for truncated forms of squares of basic hypergeometric series
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Publication:4991827
DOI10.1080/10236198.2020.1862808zbMath1472.11020OpenAlexW3115153155MaRDI QIDQ4991827
Publication date: 4 June 2021
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2020.1862808
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Related Items (19)
q-Analogues of some supercongruences related to Euler numbers ⋮ Proof of two conjectures of Guo and Schlosser ⋮ 𝑁-tuple sum analogues for Ramanujan-type congruences ⋮ A FAMILY OF -SUPERCONGRUENCES MODULO THE CUBE OF A CYCLOTOMIC POLYNOMIAL ⋮ Some \(q\)-analogues of supercongruences for truncated \({}_3 F_2\) hypergeometric series ⋮ \(q\)-supercongruences from squares of basic hypergeometric series ⋮ Some \(q\)-supercongruences from squares of basic hypergeometric series ⋮ Two \(q\)-congruences involving double basic hypergeometric sums ⋮ Supercongruences for sums involving Domb numbers ⋮ \(q\)-analogues of two Ramanujan-type supercongruences ⋮ A further \(q\)-analogue of Van Hamme's (H.2) supercongruence for any prime \(p\equiv 1\pmod{4}\) ⋮ Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial ⋮ Some \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial ⋮ On two supercongruences for sums of Apéry-like numbers ⋮ Some \(q\)-supercongruences modulo the fifth power of a cyclotomic polynomial from squares of \(q\)-hypergeometric series ⋮ Some \(q\)-supercongruences from a quadratic transformation by Rahman ⋮ Some variations of a ‘divergent’ Ramanujan-type q-supercongruence ⋮ Some q-congruences on double basic hypergeometric sums ⋮ \(q\)-supercongruences on triple and quadruple sums
Cites Work
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- \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping
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- Congruences for \(q\)-binomial coefficients
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- A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES
- q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
- Generalized Powers
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