Poles of the Standard $\mathcal{L}$-function of $G_2$ and the Rallis-Schiffmann Lift

Nadya Gurevich, Avner Segal

We characterize the cuspidal representations of $G_2$ whose standard $\mathcal{L}$-function admits a pole at $s=2$ as the image of Rallis-Schiffmann lift for the commuting pair $\l…