On the integral of Hardy's function $ Z(t)$

DOI10.1070/IM2008V072N03ABEH002407zbMath1239.11091OpenAlexW2050335988MaRDI QIDQ3520115

M. A. Korolev

Publication date: 20 August 2008

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2008v072n03abeh002407

zbMATH Keywords

exponential sumszerosRiemann zeta-functionHardy function \(Z(t)\)

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (9)

Hardy's function \(Z(t)\): results and problems ⋮ On a Cubic Moment of Hardy’s Function with a Shift ⋮ An approximate functional equation for the primitive of Hardy's function ⋮ The mean value of Hardy's function in short intervals ⋮ On some problems involving Hardy's function ⋮ The weak Gram law for Hecke \(L\)-functions ⋮ The Second Moment of the First Derivative of Hardy’s Z-Function ⋮ Some mean value results related to Hardy's function ⋮ On large values of Hardy’s function $Z(t)$ and its derivatives

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