Yifan Chen, Xiaoxia Wang: Further $q$-congruences on double basic hypergeometric sums, 15-23

Abstract:

In this paper, we establish a $q$-congruence which unifies one kind of $q$-congruences on double sums and the result confirms Wei and Li's conjectures as well. Meanwhile, we provide one new $q$-supercongruence on double sums.

Key Words: Basic hypergeometric series, $q$-congruences, creative microscoping method, cyclotomic polynomials.

2020 Mathematics Subject Classification: Primary 11B65; Secondary 05A10, 05A30.

Download the paper in pdf format here.