一个含有Smarandache可乘函数的混合均值

A Hybrid Mean Value Formula Involving Smarandache Multiplicative Function

主要基于Smarandache可乘函数SM(n)的性质及Mangoldt函数Λ(n)的定义,运用初等和解析方法研究了Λ(n)·SM(n)和Λ(n)·S(n)的值性质,并得到了较强的渐近公式。

Based on the properties of Smarandache muhiplicative function SM （n） and the definition of Mangoldt function A （n）, the elementary and analytical methods were used to study the hybrid mean value formula involving Smarandache multiplicative function SM （n） and the Mangoldt function A （n）, and a sharp asymptotic formula was given.