An operator theoretic approach to the Prime number theorem
Functional Analysis
2020-11-16 v1 Classical Analysis and ODEs
Number Theory
Abstract
In this short note, we establish an operator theoretic version of the Wiener-Ikehara tauberian theorem, and point out how this leads to a new proof of the Prime number theorem that should be accessible to anyone with a basic knowledge of operator theory.
Cite
@article{arxiv.2011.06972,
title = {An operator theoretic approach to the Prime number theorem},
author = {Jan-Fredrik Olsen},
journal= {arXiv preprint arXiv:2011.06972},
year = {2020}
}
Comments
5 pages