A \(q\)-analogue of a Dwork-type supercongruence

Authors

  • X. Wang Shanghai University
  • M. Yue Shanghai University

Keywords:

basic hypergeometric series, $q$-congruence, creative microscoping, cyclotomic polynomial

Abstract

Recently, by making use of the `creative microscoping' method, Guo and Zudilin proved a lot of Dwork-type supercongruences, including some conjectures of Swisher. In this paper, applying Guo and Zudilin's method, we prove a new Dwork-type supercongruence, which is a generalization of some conjectures of Swisher and was originally conjectured by the authors in a previous paper.

Author Biography

X. Wang, Shanghai University

Mathematics

Published

2021-03-11

Issue

Section

Articles