New sums of three cubes
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- by Andreas-Stephan Elsenhans and Jörg Jahnel;
- Math. Comp. 78 (2009), 1227-1230
- DOI: https://doi.org/10.1090/S0025-5718-08-02168-6
- Published electronically: August 20, 2008
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Abstract:
We report on our search for solutions of the Diophantine equation $x^3 + y^3 + z^3 = n$ for $n < 1000$ and $|x|, |y|, |z| < 10^{14}$.References
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Bibliographic Information
- Andreas-Stephan Elsenhans
- Affiliation: Mathematisches Institut der Universität Göttingen, Bunsenstrasse 3–5, D-37073 Göttingen, Germany
- Email: elsenhan@uni-math.gwdg.de
- Jörg Jahnel
- Affiliation: Mathematisches Institut der Universität Göttingen, Bunsenstrasse 3–5, D-37073 Göttingen, Germany
- Email: jahnel@uni-math.gwdg.de
- Received by editor(s): February 12, 2008
- Received by editor(s) in revised form: April 10, 2008
- Published electronically: August 20, 2008
- Additional Notes: The computer part of this work was executed on the Sun Fire V20z Servers of the Gauss Laboratory for Scientific Computing at the Göttingen Mathematisches Institut. Both authors are grateful to Professor Y. Tschinkel for permission to use these machines as well as to the system administrators for their support.
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 78 (2009), 1227-1230
- MSC (2000): Primary 11Y50; Secondary 14G05, 14J28
- DOI: https://doi.org/10.1090/S0025-5718-08-02168-6
- MathSciNet review: 2476583