A density theorem for prime squares
Fuente:
arXiv
Guardado en:
| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915178370564096 |
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| author | Zhao, Genheng |
| author_facet | Zhao, Genheng |
| contents | Let $s\geq 8$ be an integer and $P$ be a set of primes with relative lower density greater than $\sqrt{1-\min\{s,16\}/32}$. We prove that every sufficiently large integer $n\equiv s({\rm mod}24)$ can be represented by a sum of $s$ squares of primes in $P$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20322 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A density theorem for prime squares Zhao, Genheng Number Theory Let $s\geq 8$ be an integer and $P$ be a set of primes with relative lower density greater than $\sqrt{1-\min\{s,16\}/32}$. We prove that every sufficiently large integer $n\equiv s({\rm mod}24)$ can be represented by a sum of $s$ squares of primes in $P$. |
| title | A density theorem for prime squares |
| topic | Number Theory |
| url | https://arxiv.org/abs/2502.20322 |