Poles of Eisenstein series and theta lifts for unitary groups

Abstract

We derive a precise relation of poles of Eisenstein series associated to the cuspidal datum $\chi \otimes \sigma$ and the lowest occurrence of theta lifts of a cuspidal automorphic representation $\sigma$ of a unitary group, where $\chi$ is a conjugate self-dual character. A key ingredient of the proof is the computation of period integrals of truncated Eisenstein series.

Title changed from "On $(\chi ,b)$-factors of cuspidal automorphic representations of unitary groups II" to "Poles of Eisenstein series and theta lifts for unitary groups" to reflect the title of article to be published. This work completes the project started in arXiv:1409.0767

References in corpus (3)

• Endoscopic Classification of Representations: Inner Forms of Unitary Groups
• Irreducibility of Theta Lifting for Unitary Groups
• Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences

Cited by in corpus (1)

• Theta correspondence and simple factors in global Arthur parameters