PROOF OF TWO CONJECTURES ON SUPERCONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS

被引：3

作者：

Gu, Cheng-Yang ^{[1
]}

Guo, Victor J. W. ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 102卷 / 03期

基金：

中国国家自然科学基金;

关键词：

q-congruences; supercongruences; cyclotomic polynomial; PARTIAL-SUMS; VAN; CONGRUENCE;

D O I：

10.1017/S0004972720000118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we use some q-congruences proved by the method of `creative microscoping' to prove two conjectures on supercongruences involving central binomial coe fficients. In particular, we confirm the m = 5 case of Conjecture 1.1 of Guo ['Some generalizations of a supercongruence of Van Hamme', Integral Transforms Spec. Funct. 28 (2017), 888-899].

引用

页码：360 / 364

页数：5

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