On The Positive Integer Solutions For The Equation Z(n)=φ_e(SL(n))

For any positive integers n and e(e≤n),Cai Tianxin,etc,defined the generalized Euler function φe(n)of a positive integer n.Based on the computing formula for the generalized Euler function φe(n)and the properties for the Pseudo-Smarandache function,Smarandache LCM function and the generalized Euler function,by using elementary methods and techniques,the solvability of the equation Z(n)=φe(SL(n))is studied,and then all positive integer solutions are determined.