Abelian number fields with frobenian conditions
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909262355103744 |
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| author | Tavernier, Julie |
| author_facet | Tavernier, Julie |
| contents | We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular we find an asymptotic for the number of abelian field extensions of a number field k whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14341 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Abelian number fields with frobenian conditions Tavernier, Julie Number Theory 11R37 (Primary) 11N37, 43A70 (Secondary) We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular we find an asymptotic for the number of abelian field extensions of a number field k whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields. |
| title | Abelian number fields with frobenian conditions |
| topic | Number Theory 11R37 (Primary) 11N37, 43A70 (Secondary) |
| url | https://arxiv.org/abs/2407.14341 |