方程S(SL(n))=φ_(e)(n)(e=3,4,6)的可解性

The Solvability for the Equations S(SL(n))=φ_(e)(n)(e=3,4,6)

基于Smarandache函数,Smarandache LCM函数和广义Euler函数的基本性质,利用初等的方法和技巧,研究数论方程S(SL(n))=φ_(e)(n)(e=3,4,6)的可解性,并确定其全部正整数解.

Basing on properties for the Smarandache function,the Smarandache LCM function and the generalized Euler function,and elementary methods and techniques,the solvability for the equations S(SL(n))=φ_(e)(n)(e=3,4,6)are discussed.Moreover,all their positive integer solutions are given.