Mean square of the derivatives of Hardy's \(Z\)-function

DOI10.1016/j.jmaa.2019.123772zbMath1469.11301OpenAlexW2995068156WikidataQ126563704 ScholiaQ126563704MaRDI QIDQ2302925

T. Makoto Minamide, Yoshio Tanigawa

Publication date: 26 February 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123772

zbMATH Keywords

Riemann-Siegel formulamean square estimateHardy's \(Z\)-functionderivatives of Hardy's \(Z\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• Mean values of the Riemann zeta-function and its derivatives
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• On the integral of Hardy's function
• The mean-value of the Riemann zeta function
• The Theory of Hardy's Z-Function
• An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|
• On the Riemann–Siegel formula for the derivatives of the Hardy function
• The behaviour of the Riemann zeta‐function on the critical line

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