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

S. H. Saker; J. Steuding

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arXiv · 1109.3855

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

S. H. Saker·J. Steuding

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Abstract

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.

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S. H. Saker, J. Steuding. 2011-10-31. Large gaps between consecutive maxima of the Riemann zeta-function on the critical line. https://arxiv.org/abs/1109.3855

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