摘要：
利用初等方法及解析方法研究了两类包含伪Smarandache函数Z(n)的方程的可解性,证明了伪Smarandache函数Z(n)为n的原根当且仅当n=2,3,4.方程∑nk=1Z(k)=n(n+1)2有且仅有两个正整数解.%In this paper,the elementary and analytic methods are used to study the solvability of two classes of equations involving pseudo Smarandache functionZ(n).It is proved that if and only if n=2,3,4,the pseudo Smarandache function Z(n) is primitive root of n,Moreover,only two positive integer solutions of equation ∑nk-1Z(k)=n(n+1)2 is obtained.
摘要：
作为数论中一个熟知结论的推广，利用Gauss-Wilson定理和中国剩余定理，对任意正整数 n，确定出了多项式ωn x ＝∏a∈ Z*n x － a － xΦ n ＋1模n的全部整数根，进而对任意整数 x刻画出了其取值情况。%As a generalization of a wellknown result in elementary number theory ,we investigate the zeros of the polynomialωn x = ∏a∈ Z*n x - a - xΦ n + 1 modn in this note .Furthermore ,we give a complete account of the value of it by Chinese Remainder Theorem and Gauss-Wilson Theorem .
