Gaps between zeros of the Riemann zeta-function
Number Theory
2017-04-20 v3
Abstract
We prove that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than times the average spacing. Using a modification of our method, we also show that there are even larger gaps between the multiple zeros of the zeta function on the critical line (if such zeros exist).
Cite
@article{arxiv.1410.3635,
title = {Gaps between zeros of the Riemann zeta-function},
author = {H. M. Bui and M. B. Milinovich},
journal= {arXiv preprint arXiv:1410.3635},
year = {2017}
}