Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On units of certain cubic fields and the Diophantine equation $ x\sp{3}+y\sp{3}+z\sp{3}=3$


Author: Manny Scarowsky
Journal: Proc. Amer. Math. Soc. 91 (1984), 351-356
MSC: Primary 11D25; Secondary 11R16, 11R27
MathSciNet review: 744627
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 11D25, 11R16, 11R27

Retrieve articles in all journals with MSC: 11D25, 11R16, 11R27


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0744627-7
PII: S 0002-9939(1984)0744627-7
Article copyright: © Copyright 1984 American Mathematical Society