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 | English |
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Pages (from-to) | 1127-1161 |
Number of pages | 35 |
Journal | Canadian Journal of Mathematics |
Volume | 71 |
Issue number | 5 |
DOIs | |
State | Published - 1 Oct 2019 |
Keywords
- Automorphic representation
- Exceptional theta-lift
- Siegel-Weil identity
ASJC Scopus subject areas
- General Mathematics