论文标题
$ f_4 $的剩余光谱由堕胎艾森斯坦系列产生
The Residual Spectrum of $F_4$ Arising from Degenerate Eisenstein Series
论文作者
论文摘要
令$ g $为一个类型$ f_4 $的拆分组，在数字字段上定义。我们研究了$ g $的正方形自动形态表示，可以将其视为与各种最大抛物线亚组相关的堕落Eisenstein系列的领先术语。这些表示形式出现在残差频谱中。有限场所的本地代表理论在我们的工作中起着核心作用。
Let $G$ be a split group of type $F_4$ defined over a number field. We study the square-integrable automorphic representations of $G$ that can be realized as leading terms of degenerate Eisenstein series associated to various maximal parabolic subgroups. These representations appear in the residual spectrum. The local representation theory over finite places plays a central role in our work.
