Distribution modulo one of linear recurrent sequences
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914476049039360 |
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| author | Chen, Zhangchi Ye, Zihao Zheng, Weizhe |
| author_facet | Chen, Zhangchi Ye, Zihao Zheng, Weizhe |
| contents | We study the distribution modulo one of linear recurrent sequences of real numbers. We prove criteria for the finiteness of the set of limit values of the fractional parts of such a sequence and give lower bounds for the maximal distance between two limit values. Our results generalize theorems of Flatto, Lagarias, Pollington, and Dubickas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14036 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distribution modulo one of linear recurrent sequences Chen, Zhangchi Ye, Zihao Zheng, Weizhe Number Theory 11J71 (Primary) 11J54, 11K16, 11R06 (Secondary) We study the distribution modulo one of linear recurrent sequences of real numbers. We prove criteria for the finiteness of the set of limit values of the fractional parts of such a sequence and give lower bounds for the maximal distance between two limit values. Our results generalize theorems of Flatto, Lagarias, Pollington, and Dubickas. |
| title | Distribution modulo one of linear recurrent sequences |
| topic | Number Theory 11J71 (Primary) 11J54, 11K16, 11R06 (Secondary) |
| url | https://arxiv.org/abs/2604.14036 |