简单数序列的两个渐近公式

摘要

A number n is called simple number if the product of its proper divisors is less than or equal to n. The elementary method is used to study the properties of U(n)and V(n)on the sequence of simple numbers,and two asymptotic formulas are obtained. The results show that these two different functions have good distributive properties.%设n为正整数，如果n的所有真因子的乘积不超过n，称n为简单数。利用初等方法研究了函数U（n）和V（n）在简单数序列上的性质，并给出两个渐近公式。结果表明这两个函数具有较好的均值分布性质。