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arXiv · 1311.2324

Primes and the Lambert W function

Matt Visser
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Abstract

The Lambert W function, implicitly defined by W(x) exp{W(x)}=x, is a "new" special function that has recently been the subject of an extended upsurge in interest and applications. In this note, I point out that the Lambert W function can also be used to gain a new perspective on the distribution of primes.

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Matt Visser. 2017-02-03. Primes and the Lambert W function. https://doi.org/10.3390/math6020056

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