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.
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页码：1257 / 1288
页数：31
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