Stirling数关于3的一个整除性质
A divisibility property by 3 for Stirling numbers

在本文中, 作者主要研究了第二类Stirling数S(n,k)及其差的3-adic赋值. 设m,n为正整数且nm4. 作者证明了ν3(S(3n+1,3m)－S(3n,3m))=n－m+3.
In this paper, the author investigates the 3 adic valuations of the Stirling numbers S(n,k) of the second kind and their differences. The author show that ν3(S(3n+1,3m)－S(3n,3m))=n－m+3 for any positive integers nm4