包含Smarandache LCM函数的方程的解

Solutions of Equation Involving the Smarandache LCM Function

用分类讨论和初等方法完全解决了方程SL(n)=am(n)和SL(n)=φ(n2)的可解性,其中am(n)为n的m次幂剩余数,φ(n)为欧拉函数,丰富了数论函数SL(n)的性质和数论函数方程的研究.

In our report,the elementary methods and classification discussion were used to solve the solvability of equation SL（n）=am（n） and SL（n）=φ（n2）,in which am（n） denoted m-th power residues of n,φ（n） denoted the Euler function,and which enriched the properties of SL（n） and the study of functional equation.