Poisson spacing statistics for lattice points on circles

• 成果类型: Article
• 署名作者: Kurlberg, Par; Lester, Stephen
• 署名单位: Royal Institute of Technology; University of London; King's College London
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-025-01324-1
• 发表日期: 2025
• 页码: 537-585
• 关键词: random-matrix theory; riemann zeros; zeta; sums

摘要

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