二项式系数和b_n (r,i)=sum from n ((n k)~i (n k-1)^(r-i)) to k=1的同余性质

Congruence Properties of Sums of Binomial Coefficients and b_n (r,i)=sum from n ((n k)~i (n k-1)^(r-i)) to k=1

利用同余理论及初等方法,探讨二项式系数和bn (r,i)=sum from n ((n k)i (n k-1)(r-i)) to k=1在模p下的同余性质,对文[1]的结果进行了修正并给予了简洁证明。

By using congruence theory and simplier methods, this paper discusses the congruence properties of the sums af binomial coeglcients and bn（r,i）=∑nk=1（nk）i（n k-1）r-icorrects the result in paper [ 1], and gives a new brief proof.