Dirichlet L-函数的倒数的偶次加权均值公式

journal6 ›› 2004, Vol. 25 ›› Issue (1): 48-51.

Dirichlet L-函数的倒数的偶次加权均值公式

( 延安大学数学与计算机科学学院, 陕西延安716000)

出版日期:2004-03-15 发布日期:2012-11-06

On the Even Power Mean of the Inversion of Dirichlet L- Functions With the Weight of Gauss Sums

( Coll. of Math. & Compr. Sci. , Yan??an University, Yanan 716000, Shanx i China)

Online:2004-03-15 Published:2012-11-06
About author:Gao Li( 1963- ) , female, was born in Suide, Shanx i Province, the associate professor of the College of Mathematics and Computer Science, Yan??an University, the major study field is analytic number theory.
Supported by:
Supported by the province Education Commission Science Foundation of Shanxi( 00JK123）

摘要/Abstract

摘要：利用特征和与三角和恒等式以及它们的估计式与解析方法研究了Dirichlet L-函数的倒数的偶次幂的加权均值, 得到了一个新的均值分布公式q6
q [ QD( q)U2( q) 6Vmod qG( m, V)L ( 1, V)2=15P2Q+OQ12+E.

关键词： font-family: "B5+CAJ FNT00", mso-hansi-font-family: 'Times New Roman', mso-bidi-font-family: 'B5+CAJ FNT00', mso-ansi-language: EN-US, mso-fareast-language: ZH-CN, mso-bidi-language: AR-SA">Dirichlet L-font-family: "B5+CAJ FNT00", mso-hansi-font-family: 'Times New Roman', mso-bidi-font-family: 'B5+CAJ FNT00', mso-ansi-language: EN-US, mso-fareast-language: ZH-CN, mso-bidi-language: AR-SA">函数;高斯和;均值分布

Abstract: By using the identity of character sums and trigonomitric sums, and its estimates and analytic method, the even power mean of the inversion of Dirichlet L- functions with the weight of Gauss sums is studied, and a mean value formula is obtained:........

Key words: Dirichlet L- functions, Gauss sums, distribution of the mean value

高丽. Dirichlet L-函数的倒数的偶次加权均值公式[J]. journal6, 2004, 25(1): 48-51.

GAO Li. On the Even Power Mean of the Inversion of Dirichlet L- Functions With the Weight of Gauss Sums[J]. journal6, 2004, 25(1): 48-51.