On tensor third 𝐿-functions of automorphic representations of 𝐺𝐿_{𝑛}(𝔸_{𝔽})

Hahn, Heekyoung

doi:10.1090/proc/13134

On tensor third $L$-functions of automorphic representations of $\mathrm {GL}_n(\mathbb {A}_F)$
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Proc. Amer. Math. Soc. 144 (2016), 5061-5069 Request permission

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 $\mathrm {GL}_n(\mathbb {A}_F)$ and $F$ is a global field.

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