Explicit Approximations to Class Field Towers
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914278362054656 |
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| author | Bleher, Frauke M. Chinburg, Ted |
| author_facet | Bleher, Frauke M. Chinburg, Ted |
| contents | We answer a question of Peikert and Rosen by giving for each $ε> 0$ an efficient construction of infinite families of number fields $N$ such that the root discriminant $D_N^{1/[N:\mathbb{Q}]}$ is bounded above by a constant times $[N:\mathbb{Q}]^ε$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05673 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Explicit Approximations to Class Field Towers Bleher, Frauke M. Chinburg, Ted Number Theory 11R29, 11Y16 We answer a question of Peikert and Rosen by giving for each $ε> 0$ an efficient construction of infinite families of number fields $N$ such that the root discriminant $D_N^{1/[N:\mathbb{Q}]}$ is bounded above by a constant times $[N:\mathbb{Q}]^ε$. |
| title | Explicit Approximations to Class Field Towers |
| topic | Number Theory 11R29, 11Y16 |
| url | https://arxiv.org/abs/2301.05673 |