Wolstenholme定理的推广

GENERALIZATION OF WOSTENHOLME’S THEOREM

本文将数论中的Ｗｏｌｓｔｅｎｈｏｌｍｅ定理推广为定理设素数ｐ＞３，ｖ，ｔ＿０，ｔ＿ｋ∈Ｚ（１≤ｋ≤ｐ－１），并且０≤２ｖ＜ｐ－３，（ｔ＿０，ｐ）＝１及ｔ＿１＋ｔ＿（ｐ－１）＝ｔ＿２＋以ｓ表示满足（ｍｏｄｐ￣２）的整数，那么，

In this paper,the Wolstenholme’s theorem in the mumber theory is generalized as follows:Theorem:Let prime p>3,v ,t_0,t_k∈Z(1≤k≤p-1),and 0≤2v<p-3,(t_0,p)=1 and.By s denote the integer satisfying s·if s and p are relatively prime,Then