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

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
Integrals, zeta function

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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

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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Vol. 20 (2010)

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Tewodros Amdeberhan, Victor H. Moll, & Khristo N. Boyadzhiev. (2025). The integrals in Gradshteyn and Ryzhik. Part 17: The Riemann zeta function. Scientia Series A: Mathematical Sciences, 20, 61-71. https://doi.org/10.71712/

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