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Further $q$-supercongruences from a transformation of Rahman (2201.06942v1)
Published 9 Jan 2022 in math.NT and math.CO
Abstract: Employing a quadratic transformation formula of Rahman and the method of `creative microscoping' (introduced by the author and Zudilin in 2019), we provide some new $q$-supercongruences for truncated basic hypergeometric series. In particular, we confirm two recent conjectures of Liu and Wang. We also propose some related conjectures on supercongruences and $q$-supercongruences.
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