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Large gaps between consecutive zeros of the Riemann zeta-function. II

Volume 165 / 2014

H. M. Bui Acta Arithmetica 165 (2014), 101-122 MSC: 11M26, 11M06. DOI: 10.4064/aa165-2-1

Abstract

Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than $2.9$ times the average spacing.

Authors

  • H. M. BuiInstitut für Mathematik
    Universität Zürich
    Zürich CH-8057
    Switzerland
    and
    School of Mathematics
    University of Bristol
    Bristol BS8 1TW
    United Kingdom
    e-mail

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