Proof of some divisibility results on sums involving binomial coefficients

JOURNAL OF NUMBER THEORY

卷:180

Article

Liu, Ji-Cai¹ 

[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China

关键词: Supercongruences;    Delannoy number;    Legendre symbol;    Zeilberger algorithm;   

DOI  :  10.1016/j.jnt.2017.05.006

来源: Elsevier

【 摘 要 】

By using the Rodriguez-Villegas-Mortenson supercongruences, we prove four supercongruences on sums involving binomial coefficients, which were originally conjectured by Sun. We also confirm a related conjecture of Guo on integer-valued polynomials. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free