Abstract
For any positive integer n, Pseudo-Smarandache- Squarefree function Zw(n) is deflned as Zw(n) = minfm : njm n ;m 2 Ng. Smarandache function S(n) is deflned as S(n) = minfm : njm!;m 2 Ng. The main purpose of this paper is using the elementary methods to study the mean value properties of the Pseudo-Smarandache-Squarefree function and Smarandache function, and give two sharper asymptotic formulas for it.
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