Factors of certain sums involving central q-binomial coefficients

2021/02/03 by Guo, Victor J. W., Wang, Su-Dan
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2102.01861

Abstract

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

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