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On tensor third $ L$-functions of automorphic representations of $ GL_n(\mathbb{A}_F)$


Author: Heekyoung Hahn
Journal: Proc. Amer. Math. Soc. 144 (2016), 5061-5069
MSC (2010): Primary 11F70; Secondary 11F66, 11E57
DOI: https://doi.org/10.1090/proc/13134
Published electronically: May 4, 2016
MathSciNet review: 3556252
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Abstract: Langlands' beyond endoscopy proposal for establishing functoriality motivates interesting and concrete problems in the representation theory of algebraic groups. We study these problems in a setting related to the Langlands $ L$-functions $ L(s,\pi ,\,\otimes ^3),$ where $ \pi $ is a cuspidal automorphic representation of $ \textup {GL}_n(\mathbb{A}_F)$ and $ F$ is a global field.


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Additional Information

Heekyoung Hahn
Affiliation: Department of Mathematics, Duke University, Durham, North Carolina 27708
Email: hahn@math.duke.edu

DOI: https://doi.org/10.1090/proc/13134
Received by editor(s): September 8, 2015
Received by editor(s) in revised form: February 1, 2016
Published electronically: May 4, 2016
Communicated by: Ken Ono
Article copyright: © Copyright 2016 American Mathematical Society