Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-24T14:56:42.969Z Has data issue: false hasContentIssue false
  • English
  • Français

90.62 On a class of equal sums of unlike powers of rational integers

Published online by Cambridge University Press:  01 August 2016

Juan Pla
Juan Pla*
Affiliation:
315 Rue de Belleville, 75019 Paris, France
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 90 , Issue 519 , November 2006 , pp. 450 - 455
Copyright
Copyright © The Mathematical Association 2006

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. Beiler, A.H., Recreations in the theory of numbers, Dover (1966) pp. 290–291.Google Scholar
2. Dickson, L.E., History of the theory of numbers (Vol 2 : Diophantine analysis) Chelsea, New York (1966).Google Scholar
3. Lander, L.J., Parkin, T.R. and Selfridge, J.L., A survey of equal sums of like powers, Math. Comput. 21 (1967) pp. 446–459.Google Scholar
4. Ekl, R.L., New results in equal sums of like powers. Math. Comput. 67 (1998) pp. 1309–1315.Google Scholar
5. Guy, R.K., Sums of like powers. Euler’s conjecture, in Unsolved problems in number theory (2nd edn.) Springer-Verlag (1994) pp. 139–144.Google Scholar
6. Resta, G. and Meyrignac, J.-C., The smallest solutions to the Diophantine equation x 6 + y 6 = a 6 + b 6 + c 6 + d 6 + e 6 , Math. Comput. 72 (2003) pp. 1051–1054.Google Scholar
7. Meyrignac, J.-C., Computing minimal equal sums of like powers, http://euler.free.fr Google Scholar
8. Lander, L.J., Equal sums of unlike powers, Fibonacci Quarterly 28.2 (1990) pp. 141–150.Google Scholar
9. Davenport, H., The higher arithmetic (5th edn), Cambridge University Press (1982) pp. 124–126.Google Scholar
10. Jacobi, C.G.J., Démonstration élémentaire d’une formule analytique remarquable, Journal des Mathématiques Pures et Appliquées (mai 1842) pp. 85–109 (in French).Google Scholar