Vol. 20 (2010)
Articles

The integrals in Gradshteyn and Ryzhik. Part 17: The Riemann zeta function

Tewodros Amdeberhan
Department of Mathematics, Tulane University, New Orleans, LA 70118 USA
Victor H. Moll
Department of Mathematics, Tulane University, New Orleans, LA 70118 USA
Khristo N. Boyadzhiev
Department of Mathematics, Ohio Northern University, Ada, OH 45810 USA

Published 2010-07-21

Keywords

  • Integrals,
  • zeta function

How to Cite

The integrals in Gradshteyn and Ryzhik. Part 17: The Riemann zeta function. (2010). Scientia Series A: Mathematical Sciences, 20, 61-71. https://revistas.usm.cl/scientia/article/view/152

Abstract

The table of Gradshteyn and Ryzhik contains some integrals that can be expressed in terms of the Riemann zeta \(\zeta(s) = \sum_{n=1}^{\infty} 1/n^s.\).  In this note we present some of these evaluations.

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