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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Triples of sixth powers with equal sums

Author: Simcha Brudno
Journal: Math. Comp. 30 (1976), 646-648
MSC: Primary 10B15
MathSciNet review: 0406923
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Abstract: The diophantine equation $ {x^6} + {y^6} + {z^6} = {u^6} + {v^6} + {w^6}$ is shown to have a two-parameter solution which is homogeneous of degree four. The solution also satisfies $ {x^2} + {y^2} + {z^2} = {u^2} + {v^2} + {w^2}$; and in addition, $ 3x + y + z = 3u + v + w$.

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Article copyright: © Copyright 1976 American Mathematical Society

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