New $q$-supercongruences arising from a summation of basic hypergeometric series
Combinatorics
2021-05-11 v1 Number Theory
Abstract
With the help of a summation of basic hypergeometric series, the creative microscoping method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for coprime polynomials, we find some new -supercongruences. Especially, we give a -analogue of a formula due to Liu [J. Math. Anal. Appl. 497 (2021), Art.~124915].
Keywords
Cite
@article{arxiv.2105.03550,
title = {New $q$-supercongruences arising from a summation of basic hypergeometric series},
author = {Chuanan Wei and Chun Li},
journal= {arXiv preprint arXiv:2105.03550},
year = {2021}
}