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Newman’s short proof of the prime number theorem. (English) Zbl 0887.11039
This three-page article contains a complete proof of the prime number theorem, starting with the zeta series, and ending with D. J. Newman’s Tauberian theorem [Am. Math. Mon. 87, 693-696 (1980; Zbl 0444.10033)]. A shorter approach can hardly be imagined.

##### MSC:
 11N05 Distribution of primes 11M06 $$\zeta (s)$$ and $$L(s, \chi)$$
##### Keywords:
prime number theorem; zeta series
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