The mean square of the Riemann zeta-function in the critical strip III

DOI10.4064/aa-64-4-357-382zbMath0788.11035OpenAlexW1605803557MaRDI QIDQ4275446

Kohji Matsumoto, Tom Meurman

Publication date: 5 June 1994

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206557

zbMATH Keywords

Riemann zeta-functionasymptotic formulaerror termcritical stripmean squareVoronoi formulaAtkinson's formulaOmega theorem

Mathematics Subject Classification ID

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

Related Items (17)

An explicit formula for the square of the Riemann zeta-function in the critical strip ⋮ Explicit \(L^2\) bounds for the Riemann \(\zeta\) function ⋮ On the mean square of the Riemann zeta-function ⋮ On the error term in the mean square formula for the Riemann zeta-function in the critical strip ⋮ Moments of the Riemann zeta function and Eisenstein series. I ⋮ A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip \(3/4\leq \sigma <1\) ⋮ Some problems on mean values of the Riemann zeta-function ⋮ On the moments of the Riemann zeta-function near the critical line ⋮ A uniform estimate of the error term in the mean square of the Riemann zeta-function ⋮ Unnamed Item ⋮ On the Atkinson formula for the \(\zeta\) function ⋮ A growth estimate for the Mellin transform of the Riemann zeta function ⋮ The mean value formula for the approximate functional equation of \(\zeta^ 2(s)\) in the critical strip ⋮ On the bounded term in the mean square formula for the approximate functional equation of \(\zeta^ 2(s)\) ⋮ On the mean square of the periodic zeta-function. II ⋮ The mean square of the Dirichlet \(L\)-functions in the critical strip ⋮ Atkinson's formula for the mean square of \(\zeta (s)\) with an explicit error term

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