An approximate functional equation for the primitive of Hardy's function

DOI10.1134/S0081543817080077zbMath1395.39009OpenAlexW2793295008MaRDI QIDQ1661310

Matti Jutila

Publication date: 16 August 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817080077

zbMATH Keywords

approximate functional equationHardy's function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Functional equations for complex functions (39B32)

Cites Work

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• Transformations of zeta-sums
• Transformation formulae for Dirichlet polynomials
• Atkinson's formula for Hardy's function
• Lectures on a method in the theory of exponential sums
• The mean-value of the Riemann zeta function
• Decoupling, exponential sums and the Riemann zeta function
• The Theory of Hardy's Z-Function
• On the integral of Hardy's function $ Z(t)$

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