The second moment of quadratic Dirichlet L-functions
The second moment of quadratic Dirichlet L-functions
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DOI：
10.1016/j.jnt.2019.06.011
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发表时间：
2020
影响因子：
0.7
通讯作者：
Keiju Sono
中科院分区：
文献类型：
--
作者：
Keiju Sono
本文计算了在中心点带权的本原二次Dirichlet L-函数的二阶矩。应用Young方法（[11]，[12]），得到了误差项为主项平方根的二阶矩的渐近公式。
In this paper, we compute the second moment of primitive quadratic DirichletL-functions with weight at the central point. By applying Young's methods ([11], [12]), we obtain an asymptotic formula for the second moment with an error term that is“square-root” of the main term.