Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-11T07:22:04.471Z Has data issue: false hasContentIssue false
  • English
  • Français

93.23 Summing powers of natural numbers

Published online by Cambridge University Press:  01 August 2016

Robin V. W. Murphy
Robin V. W. Murphy*
Affiliation:
4 Heritage Way, Thornton Cleveleys, Lancs FY5 3BD
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 93 , Issue 527 , July 2009 , pp. 279 - 285
Copyright
Copyright © The Mathematical Association 2009

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. Scott, Sidney H., Sums of powers of natural numbers, Math. Gaz., 64 (December 1980) p. 231.Google Scholar
2. Weisstein, Eric W., Power Sum from Mathworld - A Wolfram Web Resource. http://mathworld.wolfram.com/PowerSum.html Google Scholar
3. Sondow, Jonathan and Weisstein, Eric W., Function, Riemann Zeta, from Mathworld - A Wolfram Web Resource. http:// mathworld.wolfram.com/RiemannZetaFunction.html Google Scholar
4. Hwang, Chien-Lih, Relations between Euler’s constant, Riemann’s zeta function and Bernoulli numbers, Math. Gaz., 89 (March 2005) p. 57.Google Scholar
5. Poorten, A. van der, A proof that Euler missed…Apery’s proof of the irrationality of ζ (3). An informal report, Mathematical Intelligencer 1(4), (1979), pp. 195–203.Google Scholar
6. Cheng, Howard, Hanrot, Guillaume, Thomé, Emmanuel, Zima, Eugene, Zimmermann, Paul, Time-and-space efficient evaluation of some hypergeometric constants, International Symposium on Symbolic and Algebraic Computation - ISSAC’07 (2007) pp. 85–91.Google Scholar
7. Murphy, R.V.W., Exploring numerical integration on a spreadsheet, Math. Gaz., 92 (November 2008) pp. 537–543.Google Scholar
8. Vepstas, Linas, On Plouffe’s Ramanujan Identities, arXiv:math/ 0609775v3[math.NT], (2006). http://arXiv.org/abs/math.NT/0609775 Google Scholar