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arXiv · 2009.05980

On a Rankin-Selberg integral of the L-function for $\widetilde{SL}_2\times GL_2$

Qing Zhang
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Abstract

We present a Rankin-Selberg integral on the exceptional group $G_2$ which represents the L-function for generic cuspidal representations of $\widetilde{SL}_2\times GL_2$. As an application, we show that certain Fourier-Jacobi type periods on $G_2$ are non-vanishing.

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Qing Zhang. 2020-09-13. On a Rankin-Selberg integral of the L-function for $\widetilde{SL}_2\times GL_2$. https://arxiv.org/abs/2009.05980

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