%0 Journal Article
%T Proof of a conjectural supercongruence
%A Xiang-Zi Meng
%A Zhi-Wei Sun
%J Mathematics
%D 2015
%I arXiv
%X Let $m>2$ and $q>0$ be integers with $m$ even or $q$ odd. We show the supercongruence $$\sum_{k=0}^{p-1}(-1)^{km}\binom{p/m-q}{k}^m\equiv0\pmod{p^3}.$$ for any prime $p>mq$. This confirms a conjecture of Sun.
%U http://arxiv.org/abs/1502.06909v3