Additive structure in convex sets
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916929779793920 |
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| author | Bloom, Thomas F. Führer, Jakob Roche-Newton, Oliver |
| author_facet | Bloom, Thomas F. Führer, Jakob Roche-Newton, Oliver |
| contents | This paper considers some different measures for how additively structured a convex set can be. The main result gives a construction of a convex set $A$ containing $Ω(|A|^{3/2})$ three-term arithmetic progressions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Additive structure in convex sets Bloom, Thomas F. Führer, Jakob Roche-Newton, Oliver Combinatorics Number Theory This paper considers some different measures for how additively structured a convex set can be. The main result gives a construction of a convex set $A$ containing $Ω(|A|^{3/2})$ three-term arithmetic progressions. |
| title | Additive structure in convex sets |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2509.01568 |