Congruences on sums of q-binomial coefficients

被引：81
|
作者：
Liu, Ji-Cai [1 ]
Petrov, Fedor [2 ]
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
[2] St Petersburg State Univ, Russian Acad Sci, St Petersburg Dept, VA Steklov Inst Math, St Petersburg, Russia
来源：
ADVANCES IN APPLIED MATHEMATICS | 2020年 / 116卷 / 116期
基金：
中国国家自然科学基金;
关键词：
q-Congruences; q-Binomial coefficients; Cyclotomic polynomials; Q-ANALOGS;
D O I：
10.1016/j.aam.2020.102003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish a q-analogue of Sun-Zhao's congruence on harmonic sums. Based on this q-congruence and a q-series identity, we prove a congruence conjecture on sums of central q-binomial coefficients, which was recently proposed by Guo. We also deduce a q-analogue of a congruence due to Apagodu and Zeilberger from Guo's q-congruence. (C) 2020 Elsevier Inc. All rights reserved.
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页数：11
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