Proof of some divisibility results on sums involving binomial coefficients

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.

6 pages

References in corpus (3)

• Proof of Sun's conjectures on integer-valued polynomials
• Supercongruences involving dual sequences
• On the divisibility of sums involving powers of multi-variable Schmidt polynomials