On the distribution of values of the argument of the Riemann zeta-function

DOI10.1016/J.JNT.2018.12.011zbMath1428.11146arXiv1808.10768OpenAlexW2963471941WikidataQ128508324 ScholiaQ128508324MaRDI QIDQ669217

Aleksandar Ivić, M. A. Korolev

Publication date: 20 March 2019

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

Full work available at URL: https://arxiv.org/abs/1808.10768

zbMATH Keywords

value distributionRiemann zeta-functionHermite polynomialscritical linedensity theoremHardy's functionargument of Riemann zeta-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)

Cites Work

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• Some extremal functions in Fourier analysis
• On the function S ( t )
• Behaviour of the argument of the Riemann zeta function on the critical line
• The argument of the Riemann zeta function

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