English

Two $q$-supercongruences from Watson's transformation

Number Theory 2020-10-01 v2

Abstract

Guo and Zudilin [Adv. Math. 346 (2019), 329--358] introduced a new method called `creative microscoping', to prove many qq-supercongruences in a unified way. In this paper, we apply this method and Watson's 8ϕ7{}_8\phi_7 transformation formula to prove two qq-supercongruences, which were recently conjectured by Guo and Schlosser.

Cite

@article{arxiv.2009.08035,
  title  = {Two $q$-supercongruences from Watson's transformation},
  author = {He-Xia Ni and Li-Yuan Wang},
  journal= {arXiv preprint arXiv:2009.08035},
  year   = {2020}
}

Comments

7pages

R2 v1 2026-06-23T18:36:06.868Z