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arXiv · 2009.08035

Two $q$-supercongruences from Watson's transformation

He-Xia Ni·Li-Yuan Wang
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Abstract

Guo and Zudilin [Adv. Math. 346 (2019), 329--358] introduced a new method called `creative microscoping', to prove many $q$-supercongruences in a unified way. In this paper, we apply this method and Watson's ${}_8ϕ_7$ transformation formula to prove two $q$-supercongruences, which were recently conjectured by Guo and Schlosser.

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He-Xia Ni, Li-Yuan Wang. 2020-09-30. Two $q$-supercongruences from Watson's transformation. https://arxiv.org/abs/2009.08035

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