On equal sums of ninth powers

Bremner, A.; Delorme, Jean-Joël

doi:10.1090/S0025-5718-09-02288-1

On equal sums of ninth powers

Authors: A. Bremner and Jean-Joël Delorme
Journal: Math. Comp. 79 (2010), 603-612
MSC (2000): Primary 11D41, 11G05
DOI: https://doi.org/10.1090/S0025-5718-09-02288-1
Published electronically: July 8, 2009
MathSciNet review: 2552243
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we develop an elementary method to obtain infinitely many solutions of the Diophantine equation

$\displaystyle x_{1}^9+x_{2}^9+x_{3}^9+x_{4}^9+x_{5}^9+x_{6}^9=y_{1}^9+y_{2}^9+y_{3}^9+y_{4}^9+y_{5}^9+y_{6}^9$

and we give some numerical results.

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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

DOI: https://doi.org/10.1090/S0025-5718-09-02288-1
Received by editor(s): March 3, 2009
Published electronically: July 8, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.