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arXiv · 2104.11954

Poles of Eisenstein series and theta lifts for unitary groups

Chenyan Wu
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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.

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Chenyan Wu. 2021-04-24. Poles of Eisenstein series and theta lifts for unitary groups. https://doi.org/10.2140/pjm.2022.317.207

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