Side lengths of cubes with vertices in $\mathbb Z^n$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918356828815360 |
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| author | Bernert, Christian Reinhold, Jens |
| author_facet | Bernert, Christian Reinhold, Jens |
| contents | We determine the set of side lengths of $d$-dimensional cubes with vertices in $\mathbb Z^n$ using Witt's cancellation theorem from the algebraic theory of quadratic forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22202 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Side lengths of cubes with vertices in $\mathbb Z^n$ Bernert, Christian Reinhold, Jens Number Theory 11E25 (11E81, 52B20) We determine the set of side lengths of $d$-dimensional cubes with vertices in $\mathbb Z^n$ using Witt's cancellation theorem from the algebraic theory of quadratic forms. |
| title | Side lengths of cubes with vertices in $\mathbb Z^n$ |
| topic | Number Theory 11E25 (11E81, 52B20) |
| url | https://arxiv.org/abs/2602.22202 |