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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2204.01651 |
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| _version_ | 1866911075363979264 |
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| author | Anderson, Theresa C. Gafni, Ayla Hughes, Kevin Oliver, Robert J. Lemke Lowry-Duda, David Thorne, Frank Wang, Jiuya Zhang, Ruixiang |
| author_facet | Anderson, Theresa C. Gafni, Ayla Hughes, Kevin Oliver, Robert J. Lemke Lowry-Duda, David Thorne, Frank Wang, Jiuya Zhang, Ruixiang |
| contents | We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_01651 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Improved bounds on number fields of small degree Anderson, Theresa C. Gafni, Ayla Hughes, Kevin Oliver, Robert J. Lemke Lowry-Duda, David Thorne, Frank Wang, Jiuya Zhang, Ruixiang Number Theory Algebraic Geometry 11R45, 11N45, 12E05, 11C08, 42B05 We study the number of degree $n$ number fields with discriminant bounded by $X$. In this article, we improve an upper bound due to Schmidt on the number of such fields that was previously the best known upper bound for $6 \leq n \leq 94$. |
| title | Improved bounds on number fields of small degree |
| topic | Number Theory Algebraic Geometry 11R45, 11N45, 12E05, 11C08, 42B05 |
| url | https://arxiv.org/abs/2204.01651 |