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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/2207.06514 |
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| _version_ | 1866916109394903040 |
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| author | Shankar, Arul Thorne, Frank |
| author_facet | Shankar, Arul Thorne, Frank |
| contents | In this article, we introduce a class of invariants of cubic fields termed generalized discriminants. We then obtain asymptotics for the families of cubic fields ordered by these invariants. In addition, we determine which of these families satisfy the Malle--Bhargava heuristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06514 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the asymptotics of cubic fields ordered by general invariants Shankar, Arul Thorne, Frank Number Theory In this article, we introduce a class of invariants of cubic fields termed generalized discriminants. We then obtain asymptotics for the families of cubic fields ordered by these invariants. In addition, we determine which of these families satisfy the Malle--Bhargava heuristic. |
| title | On the asymptotics of cubic fields ordered by general invariants |
| topic | Number Theory |
| url | https://arxiv.org/abs/2207.06514 |