A $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences
Number Theory
2021-10-22 v2
Abstract
Guo and Zudilin [Adv. Math. 346 (2019), 329--358] developed an analytical method, called `creative microscoping', to prove many supercongruences by establishing their -analogues. In this paper, we apply this method to give a -Dwork-type generalization of Rodriguez-Villegas' supercongruences, which was recently conjectured by Guo and Zudilin.
Keywords
Cite
@article{arxiv.2008.02541,
title = {A $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences},
author = {He-Xia Ni},
journal= {arXiv preprint arXiv:2008.02541},
year = {2021}
}
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7 pages