摘要
本文利用特征和与三角和的一些恒等式及其估计式与解析方法讨论了Dirichlet L-函数的倒数的偶次幂的加权均值,得到一个均值分布的渐近公式。
The main purpose of this paper is to discuss the even power mean of the inversion of Dirichlet L-funcions with weights of Gauss sums by using of some identities of character sums and trigonomitric sums,and its estimates and analytic method. A asymptotic formula of mean value is obtained.
基金
陕西省教委专项科研基金(00JK123
99JK097)