Poisson spacing statistics for lattice points on circles

被引：0

作者：

Kurlberg, Par ^{[1
]}

Lester, Stephen ^{[2
]}

机构：

[1] KTH, Dept Math, SE-10044 Stockholm, Sweden

[2] Kings Coll London, Dept Math, London WC2R 2LS, England

来源：

基金：

瑞典研究理事会; 英国工程与自然科学研究理事会;

关键词：

RANDOM-MATRIX THEORY; RIEMANN ZEROS; ZETA; SUMS;

D O I：

10.1007/s00222-025-01324-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：537 / 585

页数：49

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