New q-supercongruences from the Bailey transformation

2022/01/14 by Wang, Xiaoxia, Xu, Chang
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2201.05378

Abstract

Inspired by the recent work of Guo, we establish some new q-supercongruences including q-analogues of some Ramannujan-type supercongruences, by using the Bailey transformation formula and the `creative microscoping' method recently introduced by Guo and Zudilin.

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