DIVISIBILITY OF CERTAIN SUMS INVOLVING CENTRAL q-BINOMIAL COEFFICIENTS

Yifan Chen; Xiaoxia Wang

doi:10.1216/rmj.2024.54.1291

Abstract

We shall give a generalization of Ni and Pan’s $q$ -congruence, originally conjectured by Guo, on certain sums involving central $q$ -binomial coefficients.

Citation

Download Citation

Yifan Chen. Xiaoxia Wang. "DIVISIBILITY OF CERTAIN SUMS INVOLVING CENTRAL $q$ -BINOMIAL COEFFICIENTS." Rocky Mountain J. Math. 54 (5) 1291 - 1298, October 2024. https://doi.org/10.1216/rmj.2024.54.1291

Information

Received: 14 November 2022; Revised: 6 April 2023; Accepted: 2 May 2023; Published: October 2024

First available in Project Euclid: 26 September 2024

Digital Object Identifier: 10.1216/rmj.2024.54.1291

Subjects:

Primary: 11B65

Secondary: 05A10 , 05A30

Keywords: congruences , cyclotomic polynomials , q-binomial coefficients , q-congruences

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS