The solvability of the equation Z(n2) equalledφ(n2) was studied by using elementary methods and the Pseudo-Smarandache functions and Euler functions. It was proved that the equation had only positive integer solution equalled 1.%利用初等方法以及伪Smarandache函数和Euler函数的性质,讨论了一个数论函数方程Z(n2)=φ(n2)的可解性,证明了该方程仅有正整数解n=1.
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