Jacobi Theta Functions over Number Fields

被引：0

作者：

Olav K. Richter

Howard Skogman

机构：

[1] University of North Texas,

[2] State University of New York,undefined

来源：

Monatshefte für Mathematik | 2004年 / 141卷

关键词：

2000 Mathematics Subject Classification: 11F55; 11F27, 11F41; Key words: Jacobi forms, theta functions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine the behavior under modular transformations by regarding certain coefficients of the Jacobi theta functions as specializations of symplectic theta functions. In addition, we show how sums of those Jacobi theta functions appear as a single coefficient of a symplectic theta function.

引用

页码：219 / 235

页数：16

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