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arXiv · 2403.17655

The prime number theorem through one-sided Tauberian theorems

Gregory Debruyne
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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.

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Gregory Debruyne. 2024-03-26. The prime number theorem through one-sided Tauberian theorems. https://arxiv.org/abs/2403.17655

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