Mean-value of the Riemann zeta-function on the critical line

DOI10.1007/BF02840653zbMath0558.10035MaRDI QIDQ762541

R. Balasubramanian, K. Ramachandra

Publication date: 1984

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Riemann zeta-functionmean valuecritical linemean fourth powermean twelfth power

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Research exposition (monographs, survey articles) pertaining to number theory (11-02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über das quadratische Mittel der Riemannschen Zetafunktion auf der kritischen Linie
• Extreme values of the Riemann zeta function
• Ein \(\Omega\)-Resultat für das quadratische Mittel der Riemannschen Zetafunktion auf der kritischen Linie
• Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II
• Fractional Moments of the Riemann Zeta-Function
• On Mean Values for Dirichlet's Polynomials and the Riemann Zeta-Function
• Some remarks on the mean value of the Riemann zetafunction and other Dirichlet series. III
• On the value Distribution of the Zeta-Function on the Critical Line
• Application of a Theorem of Montgomery and Vaughan to the Zeta-Function
• An Improvement on a Theorem of Titchmarsh on the Mean Square of |ζ(12+it)|
• THE TWELFTH POWER MOMENT OF THE RIEMANN-FUNCTION
• The Fourth Power Moment of the Riemann Zeta Function
• Power mean values of the Riemann zeta‐function
• ON VAN DER CORPUT'S METHOD AND THE ZETA-FUNCTION OF RIEMANN (V)
• On the Frequency of Titchmarsh's Phenomenon for Ζ(S)
• THE MEAN-VALUE OF | ζ(12+it) |4
• The Mean Value of the Zeta-Function on the Critical Line

This page was built for publication: Mean-value of the Riemann zeta-function on the critical line