New bounds for the Furstenberg-Sárközy theorem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866910779327905792 |
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| author | Green, Ben Sawhney, Mehtaab |
| author_facet | Green, Ben Sawhney, Mehtaab |
| contents | Suppose that $A \subset \{1,\dots, N\}$ has no two elements differing by a square. Then $|A| \ll N e^{-c\sqrt{\log N}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17448 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New bounds for the Furstenberg-Sárközy theorem Green, Ben Sawhney, Mehtaab Number Theory Suppose that $A \subset \{1,\dots, N\}$ has no two elements differing by a square. Then $|A| \ll N e^{-c\sqrt{\log N}}$. |
| title | New bounds for the Furstenberg-Sárközy theorem |
| topic | Number Theory |
| url | https://arxiv.org/abs/2411.17448 |