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arXiv · 1709.05759

Godement-Jacquet L-functions and full theta lifts

Yingjue Fang·Binyong Sun·Huajian Xue
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Abstract

We relate poles of local Godement-Jacquet L-functions to distributions on matrix spaces with singular supports. As an application, we show the irreducibility of the full theta lifts to $GL_n(F)$ of generic irreducible representations of $GL_n(F)$, where $F$ is an arbitrary local field.

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Yingjue Fang, Binyong Sun, Huajian Xue. 2017-09-18. Godement-Jacquet L-functions and full theta lifts. https://arxiv.org/abs/1709.05759

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