对任意正整数n,Samarandache幂函数SP(n)的定义是存在一个最小的正整数,使得n/m^m,其中m和n有相同的素因子.该文的主要目的是通过运用初等方法研究含有Samarandache幂函数SP(n)的无穷级数的收敛性,以及给出了若干具有一定研究意义的恒等式.%For any positive integer n, the Smarandanche power function SP (n) is defined as the smallest positive integer m such that n/m^m, where m and n have the same prime divisors. The main purpose of this paper is using the elementary methods to study the convergent properties of an infinite series involving the Smarandache power function SP( n), and give some interesting identifies.
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