The prime number theorem through one-sided Tauberian theorems
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914729584230400 |
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| author | Debruyne, Gregory |
| author_facet | Debruyne, Gregory |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17655 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The prime number theorem through one-sided Tauberian theorems Debruyne, Gregory Number Theory 11M45 40E05 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. |
| title | The prime number theorem through one-sided Tauberian theorems |
| topic | Number Theory 11M45 40E05 |
| url | https://arxiv.org/abs/2403.17655 |