The Sixth Power Moment of Dirichlet L-Functions

被引：0

作者：

J. B. Conrey

H. Iwaniec

K. Soundararajan

机构：

[1] American Institute of Mathematics,Department of Mathematics

[2] Bristol University,Department of Mathematics

[3] Rutgers University,Department of Mathematics

[4] Stanford University,undefined

来源：

Geometric and Functional Analysis | 2012年 / 22卷

关键词：

Asymptotic Formula; Main Term; Random Matrix Theory; Lead Order Term; Primitive Character;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a formula, with power savings, for the sixth moment of Dirichlet L- functions averaged over all primitive characters χ (mod q) with q ≤ Q, and over the critical line. Our formula agrees precisely with predictions motivated by random matrix theory. In particular, the constant 42 appears as a factor in the leading order term, exactly as is predicted for the sixth moment of the Riemann zeta-function.

引用

页码：1257 / 1288

页数：31

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