Proof of some divisibility results on sums involving binomial coefficients

Proof of some divisibility results on sums involving binomial coefficients
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DOI:
10.1016/j.jnt.2017.05.006
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发表时间:
2016-02
期刊:
arXiv: Number Theory
影响因子:
--
通讯作者:
Ji-Cai Liu
Ji-Cai Liu
中科院分区:
其他
文献类型:
--
作者:
Ji-Cai Liu

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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.