Logarithmic and absolute-value like properties of $\pi(x)$ with applications
Number Theory
2011-08-16 v2
Abstract
We derive properties of reminiscent of those of the logarithm and absolute value functions. Two of these properties are similar to the relations defining the linearity of a function. Several applications of these properties of are also examined.
Cite
@article{arxiv.1108.2020,
title = {Logarithmic and absolute-value like properties of $\pi(x)$ with applications},
author = {Boris B. Benyaminov},
journal= {arXiv preprint arXiv:1108.2020},
year = {2011}
}
Comments
11 pages. Withdrawn by the author due to a problem with Theorem 3.1, thus also invalidating all results that were based on it