Eigenvalues of a Differential Operator and Zeros of the Riemann ζ-Function

被引：0

作者：

Ge, Liming ^{[1
]}

Li, Xian-Jin ^{[2
]}

Wu, Dongsheng ^{[1
,2
]}

Xue, Boqing ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

[3] ShanghaiTech Univ, Inst Math Sci, Shanghai 201210, Peoples R China

来源：

ANALYSIS IN THEORY AND APPLICATIONS | 2020年 / 36卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Hilbert-Polya space; zeros of zeta function; differential operator; eigenvalue;

D O I：

10.4208/ata.OA-SU1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The eigenvalues of a differential operator on a Hilbert-Polya space are determined. It is shown that these eigenvalues are exactly the nontrivial zeros of the Riemann zeta-function. Moreover, their corresponding multiplicities are the same.

引用

页码：283 / 294

页数：12

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