Factors of certain sums involving central q-binomial coefficients

Victor J. W. Guo; Su-Dan Wang

doi:10.1007/s13398-021-01192-3

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Factors of certain sums involving central q-binomial coefficients

Authors

Guo, Victor J. W.¹
Wang, Su-Dan²

¹ Huaiyin Normal University, Huai’an, Jiangsu, 223300, People’s Republic of China , Huai’an (China)
² Inner Mongolia Normal University, Huhhot, Inner Mongolia, 010022, People’s Republic of China , Huhhot (China)

Type

Published Article

Journal

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

Publisher

Springer International Publishing

Publication Date

Dec 01, 2021

Volume

116

Issue

1

Identifiers

DOI: 10.1007/s13398-021-01192-3

Source

Springer Nature

Keywords

Disciplines

Original Paper

License

Yellow

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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