Some \(q\)-supercongruences from a quadratic transformation by Rahman
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Publication:2072208
DOI10.1007/s00025-021-01563-7OpenAlexW4200383005MaRDI QIDQ2072208
Publication date: 26 January 2022
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.06416
basic hypergeometric seriessupercongruencescyclotomic polynomial\(q\)-congruencesRahman's transformation formula
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Related Items (15)
A new extension of the (A.2) supercongruence of Van Hamme ⋮ Further \(q\)-supercongruences from a transformation of Rahman ⋮ \(q\)-supercongruences from gasper and Rahman's summation formula ⋮ Some \(q\)-supercongruences from the Gasper and Rahman quadratic summation ⋮ New \(q\)-supercongruences from the Bailey transformation ⋮ Proofs of Guo and Schlosser's two conjectures ⋮ Three families of \(q\)-supercongruences from a quadratic transformation of Rahman ⋮ Some new results about 𝑞-trinomial coefficients ⋮ \(q\)-supercongruences from squares of basic hypergeometric series ⋮ A GENERALISATION OF A SUPERCONGRUENCE ON THE TRUNCATED APPELL SERIES ⋮ On the divisibility of \(q\)-trinomial coefficients ⋮ Some new \(q\)-supercongruences involving one free parameter ⋮ Unnamed Item ⋮ Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme ⋮ Further \(q\)-supercongruences from the \(q\)-Pfaff-Saalschütz identity
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