On the convergence of zeta functions of prehomogeneous vector spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909734091620352 |
|---|---|
| author | Finis, Tobias Lapid, Erez |
| author_facet | Finis, Tobias Lapid, Erez |
| contents | We prove a general convergence result for zeta functions of prehomogeneous vector spaces extending results of H. Saito, F. Sato and Yukie. Our analysis points to certain subspaces which yield boundary terms. We study it further in the setup arising from nilpotent orbits. In certain cases we determine the residue at the rightmost pole of the zeta function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the convergence of zeta functions of prehomogeneous vector spaces Finis, Tobias Lapid, Erez Number Theory We prove a general convergence result for zeta functions of prehomogeneous vector spaces extending results of H. Saito, F. Sato and Yukie. Our analysis points to certain subspaces which yield boundary terms. We study it further in the setup arising from nilpotent orbits. In certain cases we determine the residue at the rightmost pole of the zeta function. |
| title | On the convergence of zeta functions of prehomogeneous vector spaces |
| topic | Number Theory |
| url | https://arxiv.org/abs/2405.04153 |