论文标题

在GSP(4)和GSP(4)x GL(2)的本地Zeta-Integrals上

On local zeta-integrals for GSp(4) and GSp(4) x GL(2)

论文作者

Loeffler, David

论文摘要

我们证明Novodvorsky对GSP(4)X GL(2)的通用表示的局部L因子的定义与局部Langlands对应关系兼容,而GL(2)表示是非supercuspidal。我们还用GSP(4)X GL(2)L因子的“特殊”电线的Langlands参数以及在Roesner和Weissauer的最新工作中研究的GSP(4)L因子的“次常规”杆的Langlands参数进行了解释。

We prove that Novodvorsky's definition of local L-factors for generic representations of GSp(4) x GL(2) is compatible with the local Langlands correspondence when the GL(2) representation is non-supercuspidal. We also give an interpretation in terms of Langlands parameters of the "exceptional" poles of the GSp(4) x GL(2) L-factor, and of the "subregular" poles of the GSp(4) L-factor studied in recent work of Roesner and Weissauer.

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