A new bound on the relative error in the Chebotarev density theorem
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908487170129920 |
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| author | Thorner, Jesse Zhang, Zhuo |
| author_facet | Thorner, Jesse Zhang, Zhuo |
| contents | We unconditionally improve the uniformity in the Chebotarev density theorem for Galois extensions of number fields using nonabelian base change. This leads to the first theoretical improvement over Weiss's bound for the least norm of an unramified prime ideal with given Artin symbol. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01802 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new bound on the relative error in the Chebotarev density theorem Thorner, Jesse Zhang, Zhuo Number Theory We unconditionally improve the uniformity in the Chebotarev density theorem for Galois extensions of number fields using nonabelian base change. This leads to the first theoretical improvement over Weiss's bound for the least norm of an unramified prime ideal with given Artin symbol. |
| title | A new bound on the relative error in the Chebotarev density theorem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.01802 |