Proof of some divisibility results on sums involving binomial coefficients
Number Theory
2017-08-31 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1602.02796,
title = {Proof of some divisibility results on sums involving binomial coefficients},
author = {Ji-Cai Liu},
journal= {arXiv preprint arXiv:1602.02796},
year = {2017}
}
Comments
6 pages