乘法分拆函数的均值估计

ON THE MEAN-VALUE OFTHE ENUMERATIONAL FUNCTION OF THE MULTIPLICATIVE PAKTITIONS

将正整数ｎ分拆成正整数的方法数记为ｇ（ｎ），本文对计数函数ｇ（ｎ）进行了均值估计。关于下限我们改进了￣［３］的结果。

Every positive integer n can be denote as a product of some positive integers,we express the num-ber of the ways byg(n).In this paper,we make some estimating of the mean-value of the enumerar-tional fuctiong(n ).Concerning the lower bound, we improved the result of￣[3] and prove that forevery positive interger kConcering the uper bound we obtained that