The mean value formula for the approximate functional equation of \(\zeta^ 2(s)\) in the critical strip

DOI10.1007/BF01198086zbMath0822.11059MaRDI QIDQ1805516

Isao Kiuchi

Publication date: 15 June 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta-functionmean squareVoronoi summation formulaRiemann-Siegel formulaapproximate functional equation for \(\zeta^ 2 (s)\)

Mathematics Subject Classification ID

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

Related Items (2)

The mean value formula for the approximate functional equation of \(\zeta^ 2(s)\) in the critical strip. II ⋮ On the bounded term in the mean square formula for the approximate functional equation of \(\zeta^ 2(s)\)

Cites Work

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• A note on the approximate functional equation for \(\zeta^ 2(s)\). I,II
• An improvement on the mean value formula for the approximate functional equation of the square of the Riemann zeta-function
• ON THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION
• Mean value results for the approximate functional equation of the square of the Riemann zeta-function
• The mean square of the Riemann zeta-function in the critical strip III
• Power moments of the error term in the approximate functional equation for ζ²(s)
• The mean square of the Riemann zeta-function in the critical strip II

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