Don Bernard Zagier
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.
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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.
Key concepts: Mathematics, Analytic proof, Number theory, Prime number theorem, Simple (philosophy), Multiplicative number theory, Analytic number theory, Discrete mathematics