On equal sums of ninth powers
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- by A. Bremner and Jean-Joël Delorme PDF
- Math. Comp. 79 (2010), 603-612 Request permission
Abstract:
In this paper, we develop an elementary method to obtain infinitely many solutions of the Diophantine equation \[ x_{1}^9+x_{2}^9+x_{3}^9+x_{4}^9+x_{5}^9+x_{6}^9=y_{1}^9+y_{2}^9+y_{3}^9+y_{4}^9+y_{5}^9+y_{6}^9 \] and we give some numerical results.References
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Additional Information
- A. Bremner
- Affiliation: Department of Mathematics, Arizona State University, Tempe, Arizona
- Email: bremner@asu.edu
- Jean-Joël Delorme
- Affiliation: 6 rue des émeraudes, 69006 Lyon, France
- Email: jean.joel.delorme@wanadoo.fr
- Received by editor(s): March 3, 2009
- Published electronically: July 8, 2009
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 79 (2010), 603-612
- MSC (2000): Primary 11D41, 11G05
- DOI: https://doi.org/10.1090/S0025-5718-09-02288-1
- MathSciNet review: 2552243