New bounds for the prime counting function \pi(x)
Number Theory
2016-01-13 v7
Abstract
In this paper we establish a number of new estimates concerning the prime counting function \pi(x), which improve the estimates proved in the literature. As an application, we deduce a new result concerning the existence of prime numbers in small intervals.
Keywords
Cite
@article{arxiv.1409.1780,
title = {New bounds for the prime counting function \pi(x)},
author = {Christian Axler},
journal= {arXiv preprint arXiv:1409.1780},
year = {2016}
}
Comments
10 pages