The Wiener--Ikehara theorem by complex analysis.
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| Publication date | 2006 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | Issue number | 134 | 4 |
| Pages (from-to) | 1107-1116 |
| Number of pages | 10 |
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| Abstract |
Abstract: The Tauberian theorem of Wiener and Ikehara provides the most direct way to the prime number theorem. Here it is shown how Newman's contour integration method can be adapted to establish the Wiener-Ikehara theorem. A simple special case suffices for the PNT. But what about the twin-prime problem? |
| Document type | Article |
| Published at |
https://doi.org/10.1090/S0002-9939-05-08060-3
(Final published version)
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| Published at | |
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