关于因子积及其它的均值性质<英文>

On the Divisor Products and Its Mean Value Properties

& 设n是一个正整数,p_d(n)表示n的所有因子之积,q_d(n)表示n的所有真因子之积.用初等方法研究了序列p_d(n)和q_d(n)的均值性质,并给出了两个有趣的渐近公式.

Let n be a positive integer,pd (n) denotes the product of all positive divisors of n, qd (n) denotes the product of all proper divisors of n. In this paper,we study the properties of the sequences {pd(n)} and [qd(n)},and give two interesting asymptotic formulas.