Two $q$-supercongruences from Watson's transformation

Abstract

Guo and Zudilin [Adv. Math. 346 (2019), 329--358] introduced a new method called `creative microscoping', to prove many $q$-supercongruences in a unified way. In this paper, we apply this method and Watson's ${}_8{\varphi }_7$ transformation formula to prove two $q$-supercongruences, which were recently conjectured by Guo and Schlosser.

arXiv comment7pages

References in corpus (3)

• A $q$-microscope for supercongruences
• Congruences on sums of $q$-binomial coefficients
• On the (K.2) supercongruence of Van Hamme

Cited by in corpus (1)

• $q$-Supercongruences from Jackson's ${}_8{\varphi }_7$ summation and Watson's ${}_8{\varphi }_7$ transformation