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Accessible Unlicensed Requires Authentication Published by De Gruyter September 25, 2021

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

Dongwen Liu, Feng Su and Binyong Sun
From the journal Forum Mathematicum

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.

MSC 2010: 22E46; 43A80

Communicated by Jan Frahm


Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 11901466

Award Identifier / Grant number: 11688101

Award Identifier / Grant number: 11621061

Funding source: National Key Research and Development Program of China

Award Identifier / Grant number: 2020YFA0712600

Funding statement: F. Su is supported in part by the National Natural Science Foundation of China (No. 11901466) and the XJTLU Research Development Funding (RDF-19-02-04). B. Sun is supported in part by the National Key R & D Program of China (No. 2020YFA0712600), National Natural Science Foundation of China (No. 11688101, No. 11621061), and Kunpeng Program of Zhejiang Province.

Acknowledgements

We thank the referee for helpful comments.

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Received: 2020-07-21
Revised: 2021-08-21
Published Online: 2021-09-25
Published in Print: 2021-11-01

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