关于克罗内克二重和与非全纯艾森斯坦级数的一个注记

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A note on Kronecker's double sum and non-holomorphic Eisenstein series

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

摘要: 由狄利克雷特征对克罗内克二重级数的扭曲生成了一族权为k级别为N的非全纯艾森斯坦级数.由此，我们推导出了它的惠特克函数表示以及艾森斯坦级数的泛函方程.
- 狄利克雷特征 /
- 导子 /
- 高斯和 /
- 扭曲的泊松求和公式 /
- 惠特克函数
Abstract: A family of non-holomorphic Eisenstein series of weight k and level N is generated from twisting of the Kronecker double series by Dirichlet characters and from which we will derive its representation in terms of the Whittaker function and the functional equation for the Eisenstein series.
- Dirichlet character /
- conductor /
- Gaussian sum /
- twisted Poisson summation formula /
- Whittaker function

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