论文标题
分支组和theta系列
Paramodular groups and theta series
论文作者
论文摘要
对于任何程度和平方自由水平的临时组，我们研究Hecke代数和边界成分。我们定义了theTa系列序列，并表明，对于平方的自由水平，并且使用Eisenstein Series方法的倍增和回调，它们会生成尖尖的空间（基础问题）（基础问题）。为此，我们给出了Garrett的双固定分解的新几何证明，该证明在我们更普遍的情况下起作用。
For a paramodular group of any degree and square free level we study the Hecke algebra and the boundary components. We define paramodular theta series and show that for square free level and large enough weight they generate the space of cusp forms (basis problem), using the doubling and pullback of Eisenstein series method. For this we give a new geometric proof of Garrett's double coset decomposition which works in our more general situation.
