Two curious q-supercongruences and their extensions
Combinatorics
2023-04-04 v1
Abstract
We prove two single-parameter q-supercongruences which were recently conjectured by Guo, and establish their further extensions with one more parameter. Crucial ingredients in the proof are the terminating form of q-binomial theorem and a Karlsson-Minton type summation formula due to Gasper. Incidentally, an assertion of Wang, Li and Tang is also verified by establishing its q-analogue.
Cite
@article{arxiv.2304.00960,
title = {Two curious q-supercongruences and their extensions},
author = {Haihong He and Xiaoxia Wang},
journal= {arXiv preprint arXiv:2304.00960},
year = {2023}
}
Comments
11 pages