Dirichlet L-函数的偶次加权均值分布(英文)

The Distribution of the Even Power Weighted Mean of Dirichlet L-Functions

利用Gauss和的定义、三角和估计及其解析方法,讨论了DirichletL-函数的偶次加权均值分布问题,得到一个有趣的加权均值分布的渐近公式.

This paper uses the definition of Gauss sum,the estimation of trigonometric sum and the analytic method to study the distribution of the even power weighted mean of Dirichlet L-functions with the weight of Gauss sums,and give an interesting asymptotic formula of distribution of mean value.