Rankin–Selberg integrals for principal series representations of GL(n)-Reference-Cited by-同舟云学术

Rankin–Selberg integrals for principal series representations of GL(n)

Published:2021-09-25 Issue:6 Volume:33 Page:1549-1559
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Liu Dongwen¹,Su Feng²,Sun Binyong³

Affiliation:

1. School of Mathematical Sciences , Zhejiang University , Hangzhou , Zhejiang , P. R. China

2. Department of Pure Mathematics , Xi’an Jiaotong–Liverpool University , Suzhou , Jiangsu , P. R. China

3. Institute for Advanced Study in Mathematics , Zhejiang University , Hangzhou , Zhejiang , P. R. China

Abstract

Abstract We prove that the local Rankin–Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin–Selberg subgroups, up to certain constants given by the local gamma factors.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2020-0194/pdf

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