Poles of the standard L-function of G2 and the rallis-schiffmann lift

Nadya Gurevich; Avner Segal

doi:10.4153/CJM-2018-019-7

Poles of the standard L-function of G₂ and the rallis-schiffmann lift

Nadya Gurevich, Avner Segal

Ben-Gurion University of the Negev, Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We characterize the cuspidal representations of whose standard -function admits a pole at as the image of the Rallis-Schiffmann lift for the commuting pair () in . The image consists of non-tempered representations. The main tool is the recent construction, by the second author, of a family of Rankin-Selberg integrals representing the standard -function.

Original language	American English
Pages (from-to)	1127-1161
Number of pages	35
Journal	Canadian Journal of Mathematics
Volume	71
Issue number	5
DOIs	https://doi.org/10.4153/CJM-2018-019-7
State	Published - 1 Oct 2019

Keywords

Automorphic representation
Exceptional theta-lift
Siegel-Weil identity

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.4153/CJM-2018-019-7

Cite this

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