Hostname: page-component-84b7d79bbc-c654p Total loading time: 0 Render date: 2024-07-30T07:21:09.701Z Has data issue: false hasContentIssue false
  • English
  • Français

91.20 Finding ζ(2n) from a recursion relation for Bernoulli numbers

Published online by Cambridge University Press:  01 August 2016

Thomas J. Osler  and
Jim Zeng
Thomas J. Osler
Affiliation:
Mathematics Department, Rowan University, Glassboro, NJ 08028, USAe-mail: Osler@rowan.edu
Jim Zeng
Affiliation:
Mathematics Department, Rowan University, Glassboro, NJ 08028, USAe-mail: Osler@rowan.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Information
The Mathematical Gazette , Volume 91 , Issue 520 , March 2007 , pp. 123 - 126
Copyright
Copyright © The Mathematical Association 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Apostol, Tom M., Another elementary proof of Euler’s formula for ζ (2n), Amer. Math. Monthly, 80 (1973) pp. 425–431.Google Scholar
2. Ayoub, Raymond, Euler and the zeta function, Amer. Math. Monthly, 81 (1974) pp. 1067–1086.Google Scholar
3. Berndt, Bruce C., Elementary evaluation of ζ (n), Mathematics Magazine, 48 (1975) pp. 148–154.Google Scholar
4. Edwards, H. M.,Riemann’s zeta function, Academic Press, New York (1974).Google Scholar
5. Euler, Leonard, Introduction to analysis of the infinite, Book I, (Translated by Blanton, John D.) Springer-Verlag, New York (1988) pp. 137–153.Google Scholar
6. Knopp, Konrad, Theory and application of infinite series, Dover Publications, New York (1990) pp. 236–240. (A translation by Young, R. C. H. of the 4th German addition of 1947.)Google Scholar
7. Osier, Thomas J., Finding zeta(2p) from a product of sines. Amer. Math. Monthly, 111 (2004) pp. 52–54.Google Scholar
8. Williams, Kenneth S., On , Mathematics Magazine, 44 (1971) pp. 273–276.Google Scholar
9. Titchmarsh, E. C. and Heath-Brown, D. R., The theory of the Riemann zeta-function, (2nd ed.), Oxford University Press (1986).Google Scholar