Monatshefte für Mathematik

, Volume 121, Issue 3, pp 213–229

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

  • Aleksander Ivić
  • Kohji Matsumoto
Article

DOI: 10.1007/BF01298951

Cite this article as:
Ivić, A. & Matsumoto, K. Monatshefte für Mathematik (1996) 121: 213. doi:10.1007/BF01298951

Abstract

For 1/2<σ<1 fixed, letEσ(T) denote the error term in the asymptotic formula for\(\int_0^T {|\zeta (\sigma + it)|^2 dt} \). We obtain some new bounds forEσ(T), and an Ω_-result which is the analogue of the strongest Ω_-result in the classical Dirichlet divisor problem.

1991 Mathematics Subject Classification

11M06

Key words

Riemann zeta-functionMean squareError termAtkinson's formula

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Aleksander Ivić
    • 1
  • Kohji Matsumoto
    • 2
  1. 1.Katedra Matematike RGF-aUniversiteta u BeograduBeogradSerbia (Yugoslavia)
  2. 2.Department of Mathematics Faculty of EducationIwate UniversityUeda, MoriokaJapan
  3. 3.Graduate School of PolymathematicsNagoya UniversityNagoyaJapan