New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's zeta function

被引：11

作者：

Coram, M ^{[1
]}

Diaconis, P ^{[1
]}

机构：

[1] Stanford Univ, Dept Stat, Stanford, CA 94305 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 12期

关键词：

D O I：

10.1088/0305-4470/36/12/302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper presents some new statistical tests and new conjectures regarding the correspondence between the eigenvalues of random unitary matrices and the zeros of Riemann's zeta function. Global features such as the trace and number of eigenvalues in intervals are compared. Our results show satisfying match-ups between the two domains. They give examples of large natural datasets that follow classical distributions to high accuracy.

引用

页码：2883 / 2906

页数：24

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