Large gaps between consecutive zeros of the Riemann zeta-function
Number Theory
2012-11-06 v3
Abstract
Combining the mollifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Generalized Riemann Hypothesis (GRH), we show that there exist infinitely many consecutive gaps greater than 3.033 times the average spacing.
Keywords
Cite
@article{arxiv.0903.4007,
title = {Large gaps between consecutive zeros of the Riemann zeta-function},
author = {H. M. Bui},
journal= {arXiv preprint arXiv:0903.4007},
year = {2012}
}
Comments
21 pages