论文标题

沿关键线的Dirichlet L功能的第四刻

The fourth moment of Dirichlet L-functions along the critical line

论文作者

Wu, Xiaosheng

论文摘要

对于正整数$ q \ equiv 2 \ pmod 4 $,这项工作考虑了dirichlet $ l $ functions的第四刻,平均[0,t] $ in [0,t] $ and opentive to to Modulus $ q $。从$ q $ - 相应的和$ t $ - 相应的渐近术语中,可以获得一个渐近公式。

For a positive integer $q\not\equiv 2 \pmod 4$, this work considers the fourth moment of Dirichlet $L$-functions averaged over both $t\in [0,T]$ and primitive characters to modulus $q$. An asymptotic formula with a power saving from both $q$-aspect and $t$-aspect in the error term is obtained.

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