Distribution modulo one of linear recurrent sequences
arXiv:2604.14036
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.
arXiv comment13 pages. Fixed typos. This is an expanded version of Section 4 of arXiv:2511.21324v3