English

Poisson spacing statistics for lattice points on circles

Number Theory 2021-12-17 v1

Abstract

We show that along a density one subsequence of admissible radii, the nearest neighbor spacing between lattice points on circles is Poissonian.

Keywords

Cite

@article{arxiv.2112.08522,
  title  = {Poisson spacing statistics for lattice points on circles},
  author = {Pär Kurlberg and Stephen Lester},
  journal= {arXiv preprint arXiv:2112.08522},
  year   = {2021}
}
R2 v1 2026-06-24T08:19:28.145Z