论文标题
关于阳性乘法算术函数值的几何平均值
On the geometric mean of the values of positive multiplicative arithmetical functions
论文作者
论文摘要
在本文中,我们获得了正面强度乘法函数值的几何平均值的渐近扩展,满足$ f(p)=α(d)\,p^d+o(p^{d-δ})$(p^{d-δ})对于任何prime $ p $,带有$ d $ $ d $ real and $α($ d),$α(d)(d)(d)(d),δ> 0 $。
In this paper we obtain asymptotic expansion for the geometric mean of the values of positive strongly multiplicative function $f$ satisfying $f(p)=α(d)\,p^d+O(p^{d-δ})$ for any prime $p$ with $d$ real and $α(d),δ>0$.