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December 2021 A q-Dwork-type generalization of Rodriguez-Villegas’ supercongruences
He-Xia Ni
Rocky Mountain J. Math. 51(6): 2179-2184 (December 2021). DOI: 10.1216/rmj.2021.51.2179

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. 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. "A q-Dwork-type generalization of Rodriguez-Villegas’ supercongruences." Rocky Mountain J. Math. 51 (6) 2179 - 2184, December 2021. https://doi.org/10.1216/rmj.2021.51.2179

Information

Received: 5 February 2021; Revised: 28 April 2021; Accepted: 7 May 2021; Published: December 2021
First available in Project Euclid: 22 March 2022

Digital Object Identifier: 10.1216/rmj.2021.51.2179

Subjects:
Primary: 11B65
Secondary: 05A10 , 05A30 , 11A07

Keywords: congruence , cyclotomic polynomial , q-Pochhammer symbol , q-supercongruences

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.51 • No. 6 • December 2021
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