Atkinson's formula for Hardy's function

DOI10.1016/J.JNT.2009.02.011zbMath1232.11083OpenAlexW2047645408MaRDI QIDQ841269

Matti Jutila

Publication date: 15 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.02.011

zbMATH Keywords

Riemann zeta-functionAtkinson's formulaHardy's function

Mathematics Subject Classification ID

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

Related Items (10)

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 ⋮ An asymptotic formula for the primitive of Hardy's function ⋮ The weak Gram law for Hecke \(L\)-functions ⋮ Some mean value results related to Hardy's function ⋮ Transformations of zeta-sums ⋮ On the distribution of values of Hardy's \(Z\)-functions in short intervals. II: The \(q\)-aspect

Cites Work

• Transformation formulae for Dirichlet polynomials
• On the primitive of the Hardy function \(Z(t)\)
• A zero-density theorem for the Riemann zeta-function
• Lectures on a method in the theory of exponential sums
• On the integral of Hardy's function
• The mean-value of the Riemann zeta function
• Some remarks on the mean value of the Riemann zetafunction and other Dirichlet series. III
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