On classic $n$-universal quadratic forms over dyadic local fields
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915693531758592 |
|---|---|
| author | He, Zilong |
| author_facet | He, Zilong |
| contents | Let $ n $ be an integer and $ n\ge 2 $. A classic integral quadratic form over local fields is called classic $ n $-universal if it represents all $n$-ary classic integral quadratic forms. We determine the equivalent conditions and minimal testing sets for classic $ n $-universal quadratic forms over dyadic local fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_04885 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On classic $n$-universal quadratic forms over dyadic local fields He, Zilong Number Theory Let $ n $ be an integer and $ n\ge 2 $. A classic integral quadratic form over local fields is called classic $ n $-universal if it represents all $n$-ary classic integral quadratic forms. We determine the equivalent conditions and minimal testing sets for classic $ n $-universal quadratic forms over dyadic local fields. |
| title | On classic $n$-universal quadratic forms over dyadic local fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2206.04885 |