论文标题

siegel theta系列不确定二次形式

Siegel theta series for indefinite quadratic forms

论文作者

Roehrig, Christina

论文摘要

在Vignéras引起的椭圆形模块化形式的情况下,theta序列的模块化转换行为被充分理解,他们推断,求解二阶二阶差分方程是模块化的标准。在本文中,我们将对Siegel Theta系列进行概括。

The modular transformation behavior of theta series for indefinite quadratic forms is well understood in the case of elliptic modular forms due to Vignéras, who deduced that solving a differential equation of second order serves as a criterion for modularity. In this paper, we will give a generalization of this result to Siegel theta series.

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