On the error term in the mean square formula for the Riemann zeta-function in the critical strip

DOI10.1007/BF01298951zbMath0843.11039MaRDI QIDQ1912216

Aleksandar Ivić, Kohji Matsumoto

Publication date: 13 August 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178722

zbMATH Keywords

upper boundsRiemann zeta-functionerror termcritical stripDirichlet divisor problemAtkinson's formulamean square formula

Mathematics Subject Classification ID

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

Related Items (7)

A study of the mean value of the error term in the mean square formula of the Riemann zeta-function in the critical strip \(3/4\leq \sigma <1\) ⋮ The asymptotic behavior of the second power moment of the Riemann zeta-function in the critical strip ⋮ On mean values of some zeta-functions in the critical strip. ⋮ A growth estimate for the Mellin transform of the Riemann zeta function ⋮ Mean square of double zeta-function ⋮ Mean square formula for the double zeta-function ⋮ Mean square of the Mellin transform of the Riemann zeta-function

Cites Work

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• New omega results in a weighted divisor problem
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• The mean-value of the Riemann zeta function
• Exponential Sums and the Riemann Zeta Function
• The mean square of the Riemann zeta-function in the critical strip III
• Exponential Sums and the Riemann Zeta Function IV

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