There are consecutive cubic fields with large class numbers, when ordered by discriminant
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866909983697797120 |
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| author | Kala, Vitezslav Prakash, Om |
| author_facet | Kala, Vitezslav Prakash, Om |
| contents | We consider cubic number fields ordered by their discriminants, and show that there exist arbitrarily long sequences that contain only fields with class numbers greater than a given bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03984 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | There are consecutive cubic fields with large class numbers, when ordered by discriminant Kala, Vitezslav Prakash, Om Number Theory 11R29, 11R16, 11B05, 11B25, 11R45 We consider cubic number fields ordered by their discriminants, and show that there exist arbitrarily long sequences that contain only fields with class numbers greater than a given bound. |
| title | There are consecutive cubic fields with large class numbers, when ordered by discriminant |
| topic | Number Theory 11R29, 11R16, 11B05, 11B25, 11R45 |
| url | https://arxiv.org/abs/2601.03984 |