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arXiv · 2201.06942

Further $q$-supercongruences from a transformation of Rahman

Victor J. W. Guo
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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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Victor J. W. Guo. 2022-01-09. Further $q$-supercongruences from a transformation of Rahman. https://arxiv.org/abs/2201.06942

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