Isolating Rankin-Selberg lifts
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- by Jayce R. Getz and Jamie Klassen PDF
- Proc. Amer. Math. Soc. 143 (2015), 3319-3329 Request permission
Abstract:
Let $F$ be a number field and let $\pi$ be a cuspidal unitary automorphic representation of $\mathrm {GL}_{mn}(\mathbb {A}_F)$ where $m$ and $n$ are integers greater than one. We propose a conjecturally necessary condition for $\pi$ to be a Rankin-Selberg transfer of an automorphic representation of $\mathrm {GL}_m \times \mathrm {GL}_n(\mathbb {A}_F)$. As evidence for the conjecture we prove the corresponding statement about automorphic $L$-parameters.References
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Additional Information
- Jayce R. Getz
- Affiliation: Department of Mathematics, Duke University, Durham, North Carolina 27708-0320
- Email: jgetz@math.duke.edu
- Jamie Klassen
- Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
- Email: michigan.j.frog@gmail.com
- Received by editor(s): February 26, 2013
- Received by editor(s) in revised form: July 4, 2013, and October 18, 2013
- Published electronically: April 6, 2015
- Communicated by: Kathrin Bringmann
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3319-3329
- MSC (2010): Primary 11F66; Secondary 20G05
- DOI: https://doi.org/10.1090/proc/12389
- MathSciNet review: 3348774