Gaps between zeros of the Riemann zeta-function

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Abstract

We prove that there exist infinitely many consecutive zeros of the Riemann zeta-function on the critical line whose gaps are greater than 3.18 times the average spacing. Using a modification of our method, we also show that there are even larger gaps between the multiple zeros of the Riemann zeta-function on the critical line (if such zeros exist).

Bibliographical metadata

Original languageEnglish
Pages (from-to)403-423
Number of pages20
JournalQuarterly Journal of Mathematics
Volume69
Early online date26 Sep 2017
DOIs
Publication statusPublished - 2018

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