On the representation of integer as sum of a square-free number and a prime of special type
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916683838390272 |
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| author | Todorova, T. L. |
| author_facet | Todorova, T. L. |
| contents | We prove that there are infinitely many integers, which can represent as sum of a square-free integer and a prime $p$ with $||αp+β||<p^{-1/10}$, where $α$ is irrational. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06622 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the representation of integer as sum of a square-free number and a prime of special type Todorova, T. L. Number Theory 11P32, 11J71, 11P32 We prove that there are infinitely many integers, which can represent as sum of a square-free integer and a prime $p$ with $||αp+β||<p^{-1/10}$, where $α$ is irrational. |
| title | On the representation of integer as sum of a square-free number and a prime of special type |
| topic | Number Theory 11P32, 11J71, 11P32 |
| url | https://arxiv.org/abs/2501.06622 |