Linear statistics for zeros of Riemann's zeta function
Number Theory
2007-05-23 v1
Abstract
We consider a smooth counting function of the scaled zeros of the Riemann zeta function, around height T. We show that the first few moments tend to the Gaussian moments, with the exact number depending on the statistic considered.
Keywords
Cite
@article{arxiv.math/0208220,
title = {Linear statistics for zeros of Riemann's zeta function},
author = {C. P. Hughes and Z. Rudnick},
journal= {arXiv preprint arXiv:math/0208220},
year = {2007}
}