paper

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

arXiv:1109.3855

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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