Factors of certain sums involving central q-binomial coefficients

preprint2021arXivOpen access

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.

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