journal6 ›› 2004, Vol. 25 ›› Issue (3): 6-9.

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关于Dirichlet L-函数的二次均值

  

  1. ( 延安大学数学与计算机科学学院,陕西 延安 716000 )
  • 出版日期:2004-09-15 发布日期:2012-09-22

On the Second Power Mean of Dirichlet L-function

  1. (Coll. of Math & Compr Sci.,Yanan Univ., Yanan 716000,Shanxi China)
  • Online:2004-09-15 Published:2012-09-22
  • About author:GAO Li(1963-),female,was born in Suide,Shanxi Province,the associate professor of the college of Mathematics and Computer Science,Yanan Unviersity,the major study field is analytic number theory.
  • Supported by:

    Supported by the National Natural Science Foundation of China (10271093)

摘要:利用经典的Kloostermann和估计与解析方法讨论了Dirichlet L-函数的一个二次加权均值,得出了一个有趣的均值分布定理.

关键词: Dirichlet L-函数, 广义Kloostermann和, 均值分布, 渐近公式

Abstract: The main purpose of this paper is using the classical estimation of Kloostermann sum and the analytic method to study the second power mean of Dirichlet L-functions with the weight of general Kloostermann sums,and give an interesting second mean value theorem.

Key words: Dirichlet L-functions, general Kloostermann sums, distribution of the mean value, asymptotic formula

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