The Second Moment of the First Derivative of Hardy’s Z-Function

DOI10.1007/978-3-030-37904-9_9zbMath1444.11188OpenAlexW3010644888MaRDI QIDQ3296684

A. V. Shubin, M. A. Korolev

Publication date: 1 July 2020

Published in: Trigonometric Sums and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-37904-9_9

zbMATH Keywords

Riemann zeta-functionapproximate functional equationsecond momentHardy's \(Z\)-functionthird derivative test

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Cites Work

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• On the distance between adjacent zeros of the Riemann zeta function lying on the critical line
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Uniform approximations and zeros of the derivatives of the Hardy \(Z\)- function in short intervals
• The lattice point problem of many dimensional hyperboloids. III
• Some identities for the Riemann zeta-function
• On the integral of Hardy's function $ Z(t)$
• On the method of exponent pairs
• On the Riemann–Siegel formula for the derivatives of the Hardy function
• The Lattice-Points in a Circle
• The behaviour of the Riemann zeta‐function on the critical line
• The lattice point problem of many-dimensional hyperboloids I

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