Factors of certain sums involving central q-binomial coefficients

被引：4
|
作者：
Guo, Victor J. W. [1 ]
Wang, Su-Dan [2 ]
机构：
[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China
[2] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Congruences; q-binomial coefficients; Cyclotomic polynomials;
D O I：
10.1007/s13398-021-01192-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：10
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