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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  and
Avner Segal
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)
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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.

MSC classification

Secondary: 22E55: Representations of Lie and linear algebraic groups over global fields and adèle rings
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 14 , Issue 1 , January 2015 , pp. 149 - 184
Copyright
© Cambridge University Press 2014 

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