A further \(q\)-analogue of Van Hamme's (H.2) supercongruence for any prime \(p\equiv 1\pmod{4}\)
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Publication:2038841
DOI10.1007/s00025-021-01402-9zbMath1470.33015arXiv2006.16929OpenAlexW3155001858MaRDI QIDQ2038841
Publication date: 7 July 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16929
Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)
Related Items (9)
New \(q\)-supercongruences from the Bailey transformation ⋮ \(q\)-supercongruences from squares of basic hypergeometric series ⋮ A GENERALISATION OF A SUPERCONGRUENCE ON THE TRUNCATED APPELL SERIES ⋮ Proof of some supercongruences through a \(q\)-microscope ⋮ A new \(q\)-extension of the (H.2) congruence of Van Hamme for primes \(p\equiv 1\pmod{4}\) ⋮ Another family of \(q\)-congruences modulo the square of a cyclotomic polynomial ⋮ $q$-Supercongruences from the $q$-Saalschütz identity ⋮ Some \(q\)-supercongruences modulo the fifth power of a cyclotomic polynomial from squares of \(q\)-hypergeometric series ⋮ A -SUPERCONGRUENCE MODULO THE THIRD POWER OF A CYCLOTOMIC POLYNOMIAL
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