Proof of some divisibility results on sums involving binomial coefficients

Ji-Cai Liu

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arXiv · 1602.02796

Proof of some divisibility results on sums involving binomial coefficients

Ji-Cai Liu

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Abstract

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.

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Ji-Cai Liu. 2016-02-04. Proof of some divisibility results on sums involving binomial coefficients. https://arxiv.org/abs/1602.02796

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