English

New q-supercongruences from the Bailey transformation

Number Theory 2022-02-15 v2

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.

Keywords

Cite

@article{arxiv.2201.05378,
  title  = {New q-supercongruences from the Bailey transformation},
  author = {Xiaoxia Wang and Chang Xu},
  journal= {arXiv preprint arXiv:2201.05378},
  year   = {2022}
}
R2 v1 2026-06-24T08:49:56.646Z