Primes and the Lambert W function
Number Theory
2018-04-10 v2
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.
Cite
@article{arxiv.1311.2324,
title = {Primes and the Lambert W function},
author = {Matt Visser},
journal= {arXiv preprint arXiv:1311.2324},
year = {2018}
}
Comments
V1: 13 pages; V2: Now 9 pages; shortened, tidied up, more focussed. 1 reference added