English

Sequences modulo one: convergence of local statistics

Number Theory 2014-10-17 v1 Dynamical Systems

Abstract

We survey recent results beyond equidistribution of sequences modulo one. We focus on the sequence of angles in a Euclidean lattice in R2\mathbb R^2 and on the sequence nmod1\sqrt n\bmod1 .

Keywords

Cite

@article{arxiv.1410.4346,
  title  = {Sequences modulo one: convergence of local statistics},
  author = {Ilya Vinogradov},
  journal= {arXiv preprint arXiv:1410.4346},
  year   = {2014}
}

Comments

6 figures. arXiv admin note: text overlap with arXiv:1306.0028

R2 v1 2026-06-22T06:25:40.247Z