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arXiv · 2008.02541

A $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences

He-Xia Ni
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Abstract

Guo and Zudilin [Adv. Math. 346 (2019), 329--358] developed an analytical method, called `creative microscoping', to prove many supercongruences by establishing their $q$-analogues. In this paper, we apply this method to give a $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences, which was recently conjectured by Guo and Zudilin.

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He-Xia Ni. 2020-08-06. A $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences. https://arxiv.org/abs/2008.02541

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