关于D.H.Lehmer问题的一个推广

On a generalization of D.H.Lehmer′s problem

给出了一类数论函数的定义 ,并利用广义 Kloosterman和估计及三角和方法给出该类函数的一个较强的渐近公式。

First, one kind number theoretic functions are defined.Using the estimates for general Kloosterman′s sums and the methods of trigonometric sums, a sharp asymptotic formula of this kind of functions is obtained.