A note on the mean value of the zeta and L-functions. IV, V

DOI10.3792/pjaa.62.311zbMath0613.10032OpenAlexW2019935652MaRDI QIDQ1088713

Yoichi Motohashi

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.311

zbMATH Keywords

asymptotic formulaerror termmean valuessaddle-point methodVoronoi summation formulaAtkinson's formula

Mathematics Subject Classification ID

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

Related Items (6)

The Mean Values of the Riemann Zeta-Function on the Critical Line ⋮ Unnamed Item ⋮ An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial ⋮ On the mean square of the periodic zeta-function. II ⋮ A spectral decomposition of the product of four zeta-values ⋮ An explicit formula for the fourth power mean of the Riemann zeta- function

Cites Work

• Transformation formulae for Dirichlet polynomials
• A note on the approximate functional equation for \(\zeta^ 2(s)\). I,II
• The mean-value of the Riemann zeta function
• ON THE MEAN SQUARE OF THE RIEMANN ZETA-FUNCTION
• The mean value theorem for the Riemann zeta‐function
• On the distribution of prime numbers which are of the form $x^2 + y^2 +1$

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