Eisenstein series on arithmetic quotients of rank 2 Kac--Moody groups over finite fields

Abid Ali, Lisa Carbone, Paul Garrett

Let $G$ be an affine or hyperbolic rank 2 Kac--Moody group over a finite field ${\mathbb{F}}_q$. Let $X=X_{q+1}$ be the Tits building of $G$, the $(q+1)$--homogeneous tree, and let $Î…