The prime number theorem through one-sided Tauberian theorems
Number Theory
2024-03-27 v1
Abstract
In this expository article we provide an elegant proof of the one-sided Ingham-Karamata Tauberian theorem. As an application, we present a short deduction of the prime number theorem.
Cite
@article{arxiv.2403.17655,
title = {The prime number theorem through one-sided Tauberian theorems},
author = {Gregory Debruyne},
journal= {arXiv preprint arXiv:2403.17655},
year = {2024}
}
Comments
7 pages