Further qq-supercongruences from a transformation of Rahman

preprint2022arXivOpen access

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 qq-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 qq-supercongruences.

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