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The Rankin–Selberg integral with a non-unique model for the standard $\mathcal{L}$ -function of $G_2$

Part of: Lie groups

Published online by Cambridge University Press:  08 May 2014

Nadya Gurevich
Affiliation:
School of Mathematics, Ben Gurion University of the Negev, POB 653, Be’er Sheva 84105, Israel(ngur@math.bgu.ac.il)(avners@math.bgu.ac.il)
Avner Segal
Affiliation:
School of Mathematics, Ben Gurion University of the Negev, POB 653, Be’er Sheva 84105, Israel(ngur@math.bgu.ac.il)(avners@math.bgu.ac.il)
Corresponding

Abstract

Let $\mathcal{L}^{S}\left (s,\pi ,{\mathfrak{st}}\right )$ be a partial $\mathcal{L}$ -function of degree $7$ of a cuspidal automorphic representation $\pi $ of the exceptional group $G_2$ . In this paper we construct a Rankin–Selberg integral for representations having a certain Fourier coefficient.

Type
Research Article
Copyright
© Cambridge University Press 2014 

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References

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The Rankin–Selberg integral with a non-unique model for the standard $\mathcal{L}$ -function of $G_2$
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