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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.01269 |
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| _version_ | 1866917709209403392 |
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| author | Colmez, Pierre |
| author_facet | Colmez, Pierre |
| contents | We give several versions of Shintani's method for the decomposition into simplicial cones of the fundamental domain of a torus modulo a lattice, and we investigate some applications to the study of Hecke $L$-functions at integer points. In particular, we prove the analytic class number formula for a totally real field, directly at $s=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01269 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | La méthode de Shintani et ses variantes Colmez, Pierre Number Theory We give several versions of Shintani's method for the decomposition into simplicial cones of the fundamental domain of a torus modulo a lattice, and we investigate some applications to the study of Hecke $L$-functions at integer points. In particular, we prove the analytic class number formula for a totally real field, directly at $s=0$. |
| title | La méthode de Shintani et ses variantes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2407.01269 |