Newman's short proof of the prime number theorem.

Zagier, D.

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Newman's short proof of the prime number theorem.

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Zagier, D.
Max Planck Institute for Mathematics, Max Planck Society;

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Zagier, D. (1997). Newman's short proof of the prime number theorem. American Mathematical Monthly, 104(8), 705-708.

Cite as: http://hdl.handle.net/21.11116/0000-0004-34D0-6

Abstract

This three-page article contains a complete proof of the prime number theorem, starting with the zeta series, and ending with \it D. J. Newman's Tauberian theorem [Am. Math. Mon. 87, 693-696 (1980; Zbl 0444.10033)]. A shorter approach can hardly be imagined.