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

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

2011-09-18

arxiv.org/abs/1109.3855v2

Mathematics

Number Theory

This paper has been withdrawn by the authors due to an error

Scientific paper

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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