Impacted Buildings for GL(2)
Number Theory
2026-01-14 v1 Combinatorics
Abstract
In this paper we define a generating function for buildings of type (i.e. trees) that are enhanced with a certain filtration structure. We prove that this generating function recovers the zeta function of certain quadratic orders. We do this by studying how the ideals of the orders distribute in the building of .
Keywords
Cite
@article{arxiv.2601.08365,
title = {Impacted Buildings for GL(2)},
author = {Malors Espinosa and Zander Karaganis},
journal= {arXiv preprint arXiv:2601.08365},
year = {2026}
}