Gram's Law Fails a Positive Proportion of the Time
Number Theory
2013-10-10 v1
Abstract
This paper extends the work done by Titchmarsh on Gram's Law (an attempt to locate the zeroes of the zeta-function on the critical line). Herewith it is shown that a positive proportion of Gram intervals violate Gram's Law; and also that a weaker notion of Gram's Law is valid over a positive proportion of intervals.
Cite
@article{arxiv.0811.0883,
title = {Gram's Law Fails a Positive Proportion of the Time},
author = {Timothy Trudgian},
journal= {arXiv preprint arXiv:0811.0883},
year = {2013}
}
Comments
10 pages