The 2-adic valuations of differences of Stirling numbers of the second kind

Wei Zhao, Jianrong Zhao, Shaofang Hong

Let $m,n,k$ and $c$ be positive integers. Let ${\nu }_2(k)$ be the 2-adic valuation of $k$. By $S(n,k)$ we denote the Stirling numbers of the second kind. In this paper, we first esta…