Factors of certain sums involving central q-binomial coefficients

被引：6

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.

引用

页数：10

共 50 条

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[2] DIVISIBILITY OF CERTAIN SUMS INVOLVING CENTRAL q-BINOMIAL COEFFICIENTS [J].

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[4] Congruences on sums of q-binomial coefficients [J].

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[5] ON ALTERNATING SUMS OF BINOMIAL AND q-BINOMIAL COEFFICIENTS [J].

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[10] Proof of a congruence on sums of powers of q-binomial coefficients [J].

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