THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD
THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD
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DOI：
10.1142/s1793042113500917
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发表时间：
2012-11
影响因子：
0.7
通讯作者：
Winston Heap
中科院分区：
文献类型：
--
作者：
Winston Heap
我们计算了二次域的DedekindZeta函数乘以长度为T1/11-∊的任意Dirichlet多项式的二阶矩。我们的结果推广了Hughes和Young关于Riemann Zeta函数四阶矩的公式。
We compute the second moment of the Dedekind zeta function of a quadratic field times an arbitrary Dirichlet polynomial of length T1/11-∊. Our result generalizes a formula of Hughes and Young concerning the fourth moment of the Riemann zeta function.