On the mean-square of the Riemann zeta-function on the critical line

DOI10.1016/0022-314X(89)90024-3zbMath0668.10045OpenAlexW2021371099MaRDI QIDQ1117971

James Lee Hafner, Aleksandar Ivić

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90024-3

zbMATH Keywords

divisor problemRiemann zeta-functionerror termcritical lineOmega estimatesmean square formula

Mathematics Subject Classification ID

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

Related Items (12)

The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ THE MELLIN TRANSFORM OF THE SQUARE OF RIEMANN'S ZETA-FUNCTION ⋮ On the error term in the mean square formula for the Riemann zeta-function in the critical strip ⋮ A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip \(3/4\leq \sigma <1\) ⋮ Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function ⋮ On some problems involving Hardy's function ⋮ An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial ⋮ Some remarks on the moments of \(| \zeta(1/2 + it)| \) in short intervals ⋮ Sums of the error term function in the mean square for \(\zeta (s)\) ⋮ Omega result for the mean square of the Riemann zeta function ⋮ On the mean square formula for the Riemann zeta-function on the critical line ⋮ On sums of gcd-sum functions

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• Exponential Sums and the Riemann Zeta Function
• An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|
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