Analytic properties of representation zeta functions of groups of type $$\mathsf {A_2}$$
Abstract
Abstract We study analytic properties of the representation zeta functions of arithmetic groups of type $$\textsf{A}_2$$ A 2 , such as $$\textsf{SL}_3(\mathbb {Z})$$ SL 3 ( 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.
Fields of Study & Subjects
Graph theory and applications
Advanced Algebra and Geometry
Finite Group Theory Research
Publication details
- Journal / source
- Mathematische Annalen
- Volume
- 395
- Issue
- 3
- Publication date
- 28 May 2026
- Language
- EN