On units of certain cubic fields and the Diophantine equation $x^{3}+y^{3}+z^{3}=3$
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- Proc. Amer. Math. Soc. 91 (1984), 351-356 Request permission
Abstract:
The Diophantine equation ${x^3} + {y^3} + {z^3} = 3$ is replaced by a sequence of parametrized Diophantine equations which can be factored in certain cubic fields. A unit in these fields is readily available. Some results about these fields and the parametrized equations are proved.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 351-356
- MSC: Primary 11D25; Secondary 11R16, 11R27
- DOI: https://doi.org/10.1090/S0002-9939-1984-0744627-7
- MathSciNet review: 744627