Gaps between zeros of the derivative of the Riemann \xi-function
Number Theory
2012-11-06 v1
Abstract
Assuming the Riemann hypothesis, we investigate the distribution of gaps between the zeros of \xi'(s). We prove that a positive proportion of gaps are less than 0.796 times the average spacing and, in the other direction, a positive proportion of gaps are greater than 1.18 times the average spacing. We also exhibit the existence of infinitely many normalized gaps smaller (larger) than 0.7203 (1.5, respectively).
Cite
@article{arxiv.0903.4006,
title = {Gaps between zeros of the derivative of the Riemann \xi-function},
author = {H. M. Bui},
journal= {arXiv preprint arXiv:0903.4006},
year = {2012}
}
Comments
15 pages