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].
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页码：360 / 364
页数：5
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