Abstract
In this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type $GE_{6}$. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product $L^{S}(\pi \times \tau, E_{6} \times GL_{2}, s)$ and in the other case the degree 30 Euler product $L^{S}(\pi \times \tau, \wedge^{2} \times GL_{2}, s)$.
Citation
David Ginzburg. Joseph Hundley. "On certain Rankin-Selberg integrals on $GE_{6}$." Nagoya Math. J. 191 21 - 78, 2008.
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