关于L—函数的二次均值公式

On the Mean Square Value Formula of Dirichlet L-Functions

中文摘要:

      本文利用三角和估值的指数偶方法,改进了张文鹏关于Dirichlet L—函数的二次均值(?)│L(1/2+it,x)│²的一个渐近公式.

英文摘要:

      In this paper we improve the asymptotic formula obtained by Zhang Wenpeng about the mean square value of Dirichlet L-functions:(?)│L(1/2+it,x)│² by using the method of exponential pairs for the trigonometric sum. We proved the following Theorem:Theorem For any mod q and real t ≥ 3 we have(?) Where r is Euler's constant.