Some Definite Integrals Associated with the Riemann Zeta Function

  • H.M. Srivastava

    University of Victoria, Victoria, Canada
  • M. Lawrence Glasser

    Clarkson University, Potsdam, USA
  • V.S. Adamchik

    Carnegie Mellon University, Pittsburgh, USA

Abstract

The authors aim at deriving a family of series representations for ζ(2n+1)(nN)\zeta (2n + 1) (n \in \mathbb N) by evaluating certain trigonometric integrals in several different ways. They also show how the results presented in this paper relate to those that were obtained in other works. Finally, some illustrative computational examples, using MathematicaMathematica (Version 4.0) for Linux, are considered.

Cite this article

H.M. Srivastava, M. Lawrence Glasser, V.S. Adamchik, Some Definite Integrals Associated with the Riemann Zeta Function. Z. Anal. Anwend. 19 (2000), no. 3, pp. 831–846

DOI 10.4171/ZAA/982