Theta Functions with Harmonic Coefficients over Number Fields

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• 作者：Richter ; Olav K.
• 刊名：Journal of Number Theory
• 出版年：2002
• 期刊代码：78_0022314x
• 类别：mt
• 出版时间：July, 2002
• 卷：95
• 期：1
• 页码：101-121
• 文件大小：196 K

摘要

We investigate theta functions attached to quadratic forms over a number field K. We establish a functional equation by regarding the theta functions as specializations of symplectic theta functions. By applying a differential operator to the functional equation, we show how theta functions with harmonic coefficients over K behave under modular transformations.