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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2506.21200 |
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| _version_ | 1866918071160012800 |
|---|---|
| author | Vukusic, Ingrid |
| author_facet | Vukusic, Ingrid |
| contents | The additive square problem is a relatively famous open problem in the area of combinatorics on words: Does there exist an infinite word over a finite alphabet, such that no two consecutive blocks of the same length have the same sum? In this note we solve a Lebesgue integral variant of the problem. The proof is based on Lebesgue's density theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Lebesgue variant of the additive square problem Vukusic, Ingrid Combinatorics 26A42, 68R15 The additive square problem is a relatively famous open problem in the area of combinatorics on words: Does there exist an infinite word over a finite alphabet, such that no two consecutive blocks of the same length have the same sum? In this note we solve a Lebesgue integral variant of the problem. The proof is based on Lebesgue's density theorem. |
| title | A Lebesgue variant of the additive square problem |
| topic | Combinatorics 26A42, 68R15 |
| url | https://arxiv.org/abs/2506.21200 |