关于Smarandache可乘函数的β次混合均值

On the β-th Hybrid Mean Value of the Smarandache-Multiplicative Function

利用初等方法研究了Smarandache可乘函数与最大素因子函数P(n)之差的β次方的值分布问题,给出了■的一个渐进公式,其中x≥3,β>1为任意实数。

By using the elementary method,the β-th value distribution problem of Smarandache-multiplicative function and the biggest prime divisor function was studied.The mean value formula of n≤x (SM(n)-P(n))β is given,with x≥3,β>1 being any real number.