不完整区间上原特征和与Dirichlet L-函数的混合均值

Mean value of the character sums over incomplete intervals with the weight of Dirichlet L-functions

本文利用特征和的估计以及Dirichlet L-函数的均值定理研究了不完整区间[1,q/4),[1,q/2)上原特征和与Dirichlet L-函数的混合均值,并且给出了相应的渐近公式。

Using the estimates for character sums and mean value theorems of Dirichlet L-functions to study the mean value of the character sums with the weight of Dirichlet L-functions over incomplete intervals [1,q/4）,[1,q/2） and give some interesting mean value formulae.