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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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