Analytic properties of representation zeta functions of groups of type $\mathsf{A_2}$
Valentin Blomer, Christopher Voll
公開日: 2025/9/16
Abstract
We study analytic properties of the representation zeta functions of arithmetic groups of type $\mathsf{A}_2$, such as $\textrm{SL}_3(\mathbb{Z})$. In particular, we uncover further poles of these functions and determine a natural boundary for their meromorphic continuation beyond their abscissa of convergence. We analyse both the number field and function field case.