论文标题
$ mp_ {2n} $的本地匡威定理：通用情况
The local converse theorem for $Mp_{2n}$ : the generic case
论文作者
论文摘要
在本文中，我们通过$ \ mp_ {2n} $建立本地脉动定理和本地伽马因素的稳定性，通过$ \ mp_ {2n} $和$ \ so_ {2n+1} $之间的$ \ mp_ {2n+1} $之间的精确本地theta对应关系，在不等于2的本地领域，我们可以在应用程序中profirem，我们可以在范围内进行浓度。数字字段上的$ \ mp_ {2n} $的自动形式表示。
In this paper, we establish the local converse theorem and the stability of local gamma factors for $\Mp_{2n}$ via the precise local theta correspondence between $\Mp_{2n}$ and $\SO_{2n+1}$ over local fields of characteristic not equal to 2. As an application, we can prove the rigidity theorem for irreducible generic cuspidal automorphic representations of $\Mp_{2n}$ over number fields.
