关于一类Smarandache LCM函数混合均值研究

On Hybrid Mean Value Distribution Involving Smarandache LCM Functions

利用初等方法及素数分布理论研究Smarandache LCM函数SL(n)与函数F(k,n)混合均值(SLk(n)-F(k,n))2问题,并获得了一个有趣的渐近公式.

The main purpose of this paper is to study the mean value distribution properties of involving function（SLk（n）-F（k,n））2 of Smarandache LCM function SL（n） and function F（k,n） by means of the elementary methods and the theory of prime distribution.The study also results in a sharper asymptotic formulae.