Digital Commons @ IWU

Title

Numerical approximation to ζ(2n+1)

Authors

Tian-Xiao He, Illinois Wesleyan UniversityFollow
Michael Dancs

Publication Date

January 2006

Comments

The Journal of Computational and Applied Mathematics is published by Elsevier, http://www.journals.elsevier.com/journal-of-computational-and-applied-mathematics/.

Abstract

In this short paper, we establish a family of rapidly converging series expansions ζ(2n +1) by discretizing an integral representation given by Cvijovic and Klinowski [3] in Integral representations of the Riemann zeta function for odd-integer arguments, J. Comput. Appl. Math. 142 (2002) 435–439. The proofs are elementary, using basic properties of the Bernoulli polynomials.

Disciplines

Applied Mathematics | Mathematics

Recommended Citation

He, Tian-Xiao and Dancs, Michael, "Numerical approximation to ζ(2n+1)" (2006). Scholarship. 6.
https://digitalcommons.iwu.edu/math_scholarship/6