Large gaps between consecutive zeros of the Riemann zeta-function.

Authors: H. M. Bui
Subjects: Number Theory
link: http://arxiv.org/abs/0903.4007
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 3.0155
times the average spacing.