与虚二次域相关的权为1的艾森斯坦级数

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Weight one Eisenstein series associated with imaginary quadratic fields

Department of Mathematics, University of Florida, Gainesville FL 32611-8105, USA

摘要: 考虑了一类与虚二次域相关的权为1的艾森斯坦级数.与克罗内克符号相关的艾森斯坦级数的子空间由高斯亏格理论产生的二次型刻画.此外，我们给出了一系列与二次域相关的恒等式.
- 艾森斯坦级数 /
- 克罗内克符号 /
- 判别式 /
- 二次域 /
- 模形式
Abstract: We consider a family of weight one Eisenstein series associated with the imaginary quadratic fields. The subspace of the Eisenstein series associated with the Kronecker symbol is characterized by the quadratic forms generated from the genus theory of Gauss; we will derive a family of identities connected with these quadratic fields.
- Eisenstein series /
- Kronecker symbol /
- discriminant /
- quadratic field /
- modular form

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