Dirichlet series associated with square of class numbers of binary quadratic forms
Dirichlet series associated with square of class numbers of binary quadratic forms
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与二元二次形式的类数平方相关的狄利克雷级数
DOI：
10.1007/s00209-012-0979-y
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发表时间：
2012
影响因子：
0.8
通讯作者：
Yoshinori Mizuno
中科院分区：
文献类型：
--
作者：
Roland Matthes;Yoshinori Mizuno;Yoshinori Mizuno
给出了与半积分权的实解析爱森斯坦级数相关的Mellin变换和Rankin-Selberg卷积的亚纯延拓和泛函方程。给出了系数为二元二次型类数的狄利克雷级数的应用。
We give meromorphic continuations and functional equations of Mellin transform and Rankin–Selberg convolution associated with a real analytic Eisenstein series of half-integral weight. Applications to Dirichlet series whose coefficients are the class numbers of binary quadratic forms are given.