| Authors |
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| Publication date |
2006
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| Journal |
Proceedings of the American Mathematical Society
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| Volume | Issue number |
134 | 4
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| Pages (from-to) |
1107-1116
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| Number of pages |
10
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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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?
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| Document type |
Article
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| Published at |
https://doi.org/10.1090/S0002-9939-05-08060-3
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| Published at |
http://www.ams.org
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