Large gaps between consecutive maxima of the Riemann zeta-function on the critical line
Number Theory
2011-11-01 v2
Abstract
In this paper, we derive new lower bounds for the normalized distances between consecutive maxima of the Riemann zeta-function on the critical line subject to the truth of the Riemann hypothesis. The method of our proofs relies on a Sobolev type inequality of one dimension and an Opial type inequality with best possible constants.
Keywords
Cite
@article{arxiv.1109.3855,
title = {Large gaps between consecutive maxima of the Riemann zeta-function on the critical line},
author = {S. H. Saker and J. Steuding},
journal= {arXiv preprint arXiv:1109.3855},
year = {2011}
}
Comments
This paper has been withdrawn by the authors due to an error