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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2509.02436 |
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| _version_ | 1866914017408188416 |
|---|---|
| author | Schlage-Puchta Jan-Christoph |
| author_facet | Schlage-Puchta Jan-Christoph |
| contents | Let $p$ be a prime number, $a_1, a_2, \ldots a_{4p-4}$ a sequence of elements in $(\mathbb{Z}/p\\mathbb{Z})^2$, which does not contain a subsequence of length $p$ which adds up to 0. We show that if $p$ is sufficiently large, then the sequence contains exactly four different elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All large primes have Property D Schlage-Puchta Jan-Christoph Number Theory 11B75 Let $p$ be a prime number, $a_1, a_2, \ldots a_{4p-4}$ a sequence of elements in $(\mathbb{Z}/p\\mathbb{Z})^2$, which does not contain a subsequence of length $p$ which adds up to 0. We show that if $p$ is sufficiently large, then the sequence contains exactly four different elements. |
| title | All large primes have Property D |
| topic | Number Theory 11B75 |
| url | https://arxiv.org/abs/2509.02436 |