论文标题
谐波弱maaß形式的分类半融合体重
A classification of harmonic weak Maaß forms of half-integral weight
论文作者
论文摘要
我们将回调产生的Harish-Chandra模块分类为谐波弱maaß形式的元容器，并在尖端允许指数增长。这扩展了Schulze-Pillot和Parallels的工作，Bringmann-Kudla的最新工作是研究了整体权重的情况。我们通过正常的theta升力来意识到每种情况的整体重量谐波弱maaß形式。在整体和半融合体重的Harish-Chandra模块中，不可简便。因此，我们希望表现出Theta举起在这张照片中所扮演的角色，我们希望有助于对Harish-Chandra模块扩展的Theta通信的初步理解。
We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maaß forms with exponential growth allowed at the cusps. This extends work by Schulze-Pillot and parallels recent work by Bringmann-Kudla, who investigated the case of integral weights. We realize each of our cases via a regularized theta lift of an integral weight harmonic weak Maaß form. Harish-Chandra modules in both integral and half-integral weight that occur need not be irreducible. Therefore, our display of the role that the theta lifting takes in this picture, we hope, contributes to an initial understanding of a theta correspondence for extensions of Harish-Chandra modules.
