English

Factors of certain sums involving central q-binomial coefficients

Number Theory 2021-02-04 v1

Abstract

Recently, Ni and Pan proved a qq-congruence on certain sums involving central qq-binomial coefficients, which was conjectured by Guo. In this paper, we give a generalization of this qq-congruence and confirm another qq-congruence, also conjectured by Guo. Our proof uses Ni and Pan's technique and a simple qq-congruence observed by Guo and Schlosser.

Keywords

Cite

@article{arxiv.2102.01861,
  title  = {Factors of certain sums involving central q-binomial coefficients},
  author = {Victor J. W. Guo and Su-Dan Wang},
  journal= {arXiv preprint arXiv:2102.01861},
  year   = {2021}
}