Poisson spacing statistics for lattice points on circles
Abstract We show that along a density one subsequence of admissible radii, the nearest neighbor spacing between lattice points on circles is Poissonian.
Authors
- Stephen Lester (ORCID: https://orcid.org/0000-0003-1977-9205)
- Pär Kurlberg (ORCID: https://orcid.org/0000-0003-4734-5092)
Institutions
- King's College London (GB)
- KTH Royal Institute of Technology (SE)
Publication Details
- Journal
- Inventiones mathematicae
- Published
- 2025-02-13
- DOI
- https://doi.org/10.1007/s00222-025-01324-1
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council