A note on the Diophantine equation $x^{n}+y^{n}+z^{n}=3$
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- by Manny Scarowsky and Abraham Boyarsky PDF
- Math. Comp. 42 (1984), 235-237 Request permission
Abstract:
In this note solutions for the Diophantine equation \[ {x^3} + {y^3} + {z^3} = 3\] are sought along planes $x + y + z = 3m$, $m \in {\mathbf {Z}}$. This was done for $|m| \leqslant 50000$, and no new solutions were found.References
- L. J. Mordell, Diophantine equations, Pure and Applied Mathematics, Vol. 30, Academic Press, London-New York, 1969. MR 0249355
- Alan Baker, Transcendental number theory, Cambridge University Press, London-New York, 1975. MR 0422171, DOI 10.1017/CBO9780511565977
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Math. Comp. 42 (1984), 235-237
- MSC: Primary 11D25; Secondary 11D41
- DOI: https://doi.org/10.1090/S0025-5718-1984-0726000-9
- MathSciNet review: 726000