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arXiv:1109.3855 [math.NT]AbstractReferencesReviewsResources

Large gaps between consecutive maxima of the Riemann zeta-function on the critical line

S. H. Saker, J. Steuding

Published 2011-09-18, updated 2011-10-31Version 2

In this paper, we derive new lower bounds for the normalized distances between consecutive maxima of the Riemann zeta-function on the critical line subject to the truth of the Riemann hypothesis. The method of our proofs relies on a Sobolev type inequality of one dimension and an Opial type inequality with best possible constants.

Comments: This paper has been withdrawn by the authors due to an error
Categories: math.NT
Subjects: 11M06, 11M26
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