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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.10660 |
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| _version_ | 1866911228539961344 |
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| author | Kala, Vitezslav Prakash, Om |
| author_facet | Kala, Vitezslav Prakash, Om |
| contents | We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290-Theorem of Bhargava-Hanke. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10660 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | There is no 290-Theorem for higher degree forms Kala, Vitezslav Prakash, Om Number Theory We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290-Theorem of Bhargava-Hanke. |
| title | There is no 290-Theorem for higher degree forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2405.10660 |