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
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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.

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