Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.13254 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915497512009728 |
|---|---|
| author | Blomer, Valentin Voll, Christopher |
| author_facet | Blomer, Valentin Voll, Christopher |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13254 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic properties of representation zeta functions of groups of type $\mathsf{A_2}$ Blomer, Valentin Voll, Christopher Number Theory 11M41, 20G35 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. |
| title | Analytic properties of representation zeta functions of groups of type $\mathsf{A_2}$ |
| topic | Number Theory 11M41, 20G35 |
| url | https://arxiv.org/abs/2509.13254 |