Quantitative strong approximation for ternary quadratic forms II
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909419511480320 |
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| author | Huang, Zhizhong |
| author_facet | Huang, Zhizhong |
| contents | Let $F$ be a non-degenerate integral ternary quadratic form and let $m_0\in\mathbb{Z}_{\neq 0}$. We study growth of rational points on the affine quadric $(F=m_0)$ and show that they are equidistributed in the adelic space off a finite place. This is closely related to Linnik's problem. Our approach is based on the $δ$-variant of the Hardy--Littlewood circle method developed by Heath-Brown. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05903 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative strong approximation for ternary quadratic forms II Huang, Zhizhong Number Theory 11D45 Let $F$ be a non-degenerate integral ternary quadratic form and let $m_0\in\mathbb{Z}_{\neq 0}$. We study growth of rational points on the affine quadric $(F=m_0)$ and show that they are equidistributed in the adelic space off a finite place. This is closely related to Linnik's problem. Our approach is based on the $δ$-variant of the Hardy--Littlewood circle method developed by Heath-Brown. |
| title | Quantitative strong approximation for ternary quadratic forms II |
| topic | Number Theory 11D45 |
| url | https://arxiv.org/abs/2412.05903 |