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arXiv:0903.4007 [math.NT]AbstractReferencesReviewsResources

Large gaps between consecutive zeros of the Riemann zeta-function

H. M. Bui

Published 2009-03-24, updated 2010-06-14Version 3

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.

Comments: 21 pages
Journal: J. Number Theory 131 (2011), 67-95
Categories: math.NT
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