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arXiv · 2604.14036

Distribution modulo one of linear recurrent sequences

Zhangchi Chen·Zihao Ye·Weizhe Zheng
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Abstract

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.

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Zhangchi Chen, Zihao Ye, Weizhe Zheng. 2026-04-15. Distribution modulo one of linear recurrent sequences. https://arxiv.org/abs/2604.14036

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