【摘要】 对任意n∈N+,著名的F.Smarandache LCM函数SL(n)定义为最小的正整数k使得n|[1,2,…,k],即SL(n)=min{k:n|[1,2,…,k]}。本文利用初等和解析的方法研究了SmarandacheLCM函数SL(n)和除数函数σ(n)的混合均值,并给出了一个较强的渐近公式。更多还原

【Abstract】 For any positive integer n,the famous F.Smarandache LCM function SL(n) is defined as the smallest positive integer k such that n|[1,2,…,k].That is,SL(n)=min{k:n|[1,2,…,k]}.The elementary and analytical methods are used to study the hybrid mean value formula involing Smarandache function and the Dirichlet divisor function,and a sharp asymptotic formula is given for it.更多还原