On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918159062138880 |
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| author | Lim, Zi Li |
| author_facet | Lim, Zi Li |
| contents | We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least $5$. Also, we obtain some new improvements on the density version of the quadratic Waring--Goldbach problem over integers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem Lim, Zi Li Number Theory We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least $5$. Also, we obtain some new improvements on the density version of the quadratic Waring--Goldbach problem over integers. |
| title | On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2508.14939 |