English

Distribution modulo 1 and the lexicographic world

Number Theory 2011-02-01 v2 Combinatorics

Abstract

We give a complete description of the minimal intervals containing all fractional parts {ξ2n}\{\xi 2^n\}, for some positive real number ξ\xi, and for all n0n \geq 0.

Cite

@article{arxiv.0907.3560,
  title  = {Distribution modulo 1 and the lexicographic world},
  author = {Jean-Paul Allouche and Amy Glen},
  journal= {arXiv preprint arXiv:0907.3560},
  year   = {2011}
}
R2 v1 2026-06-21T13:27:14.356Z