Greedy Beta-expansions for families of Salem numbers
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916691124944896 |
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| author | Hare, Kevin G. Orovec, Liam |
| author_facet | Hare, Kevin G. Orovec, Liam |
| contents | We give criteria for finding the greedy $β$-expansion for $1$ for families of Salem numbers that approach a given Pisot number. We show that these expansions are related to the greedy expansion under the Pisot base. This expands on the work of Hare and Tweedle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10787 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Greedy Beta-expansions for families of Salem numbers Hare, Kevin G. Orovec, Liam Number Theory We give criteria for finding the greedy $β$-expansion for $1$ for families of Salem numbers that approach a given Pisot number. We show that these expansions are related to the greedy expansion under the Pisot base. This expands on the work of Hare and Tweedle. |
| title | Greedy Beta-expansions for families of Salem numbers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2504.10787 |