On the density of Kravitz sets
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915562795302912 |
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| author | Lev, Vsevolod Matolcsi, Máté Pach, Péter Pál Varga, Dániel |
| author_facet | Lev, Vsevolod Matolcsi, Máté Pach, Péter Pál Varga, Dániel |
| contents | We show that for a subset $A$ of the cyclic group of prime order $p>3$, if the sumset $A+A-2A$ is not the whole group, then $|A|\le \frac27\,p$. Besides combinatorial arguments, we utilize a general technique involving linear programming. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the density of Kravitz sets Lev, Vsevolod Matolcsi, Máté Pach, Péter Pál Varga, Dániel Number Theory Combinatorics 11B13 (Primary), 11B75 (Secondary) We show that for a subset $A$ of the cyclic group of prime order $p>3$, if the sumset $A+A-2A$ is not the whole group, then $|A|\le \frac27\,p$. Besides combinatorial arguments, we utilize a general technique involving linear programming. |
| title | On the density of Kravitz sets |
| topic | Number Theory Combinatorics 11B13 (Primary), 11B75 (Secondary) |
| url | https://arxiv.org/abs/2510.16522 |