Primes and the Lambert W function

Matt Visser
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Matt Visser: School of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand

Mathematics, 2018, vol. 6, issue 4, 1-6

Abstract: The Lambert W function, implicitly defined by W ( x ) e W ( x ) = x , is a relatively “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 the prime numbers.

Keywords: primes; Lambert W function; prime counting function; the n ’th prime (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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