Lehmer pairs and derivatives of Hardy's \(Z\)-function

DOI10.1016/j.jnt.2017.08.030zbMath1420.11114arXiv1612.08627OpenAlexW2963157141MaRDI QIDQ1679632

Aleksander Simonič

Publication date: 21 November 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08627

zbMATH Keywords

Riemann hypothesisLehmer pairHardy's \(Z\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

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Cites Work

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• Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis
• A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\)
• An improved upper bound for the argument of the Riemann zeta-function on the critical line. II
• Lehmer Pairs Revisited
• A note on the gaps between consecutive zeros of the Riemann zeta-function
• Fourier Transforms with Only Real Zeros
• On the stationary points of Hardy's function Z(t)

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