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

• Mathematics •     Next Articles

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)

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

WeChat e-book chaoxing Mobile QQ