An Operator Theoretic Approach to the Prime Number Theorem

被引：0

作者：

Olsen, Jan-Fredrik ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, POB 118, SE-22100 Lund, Sweden

来源：

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2023年 / 19卷 / 01期

关键词：

prime number theorem; Tauberian theorems; integral oper-ators;

D O I：

10.15407/mag19.01.172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish an operator theoretic version of the Wiener-Ikehara Taub e-rian theorem and use it to obtain a short proof of the Prime number theorem that should be accessible to anyone with a basic knowledge of operator the-ory and Fourier analysis.

引用

页码：172 / 177

页数：6

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