Impacted Buildings for GL(2)
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911371589844992 |
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| author | Espinosa, Malors Karaganis, Zander |
| author_facet | Espinosa, Malors Karaganis, Zander |
| contents | In this paper we define a generating function for buildings of type $\widetilde{A}_1$ (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 $SL(2, K)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08365 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Impacted Buildings for GL(2) Espinosa, Malors Karaganis, Zander Number Theory Combinatorics 11R42 In this paper we define a generating function for buildings of type $\widetilde{A}_1$ (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 $SL(2, K)$. |
| title | Impacted Buildings for GL(2) |
| topic | Number Theory Combinatorics 11R42 |
| url | https://arxiv.org/abs/2601.08365 |