journal6 ›› 2006, Vol. 27 ›› Issue (5): 1-3.

• 数学 •    下一篇

Dirichlet L-函数的偶次加权均值分布

  

  1. (延安大学数学与计算机科学院,陕西 延安 716000)
  • 出版日期:2006-09-25 发布日期:2012-06-29

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

  1. (College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,Shannxi China)   
  • Online:2006-09-25 Published:2012-06-29
  • About author:GAO Li (1966-),female,was born in Suide City,Shannxi Province,professor of Yan'an University,master of science,research area is analytic number theory.
  • Supported by:

    Supported by the National Natural Science Foundation of China  (10271093);the Province Education Commission Science Foundation of Shaanxi (04JK301)

摘要:利用Gauss和的定义、三角和估计及其解析方法,讨论了Dirichlet L-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.

关键词: Dirichlet L-函数, 加权, 均值分布, Gauss和, 渐近公式

Abstract: 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.

Key words: Dirichlet L-function, weighted, distribution of the mean value, Gauss sum, asymptotic formula

公众号 电子书橱 超星期刊 手机浏览 在线QQ