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ON A CLASS OF GENERALIZED FERMAT EQUATIONS
Published online by Cambridge University Press: 18 June 2010
Abstract
We generalize the main result of the paper by Bennett and Mulholland [‘On the diophantine equation xn+yn=2αpz2’, C. R. Math. Acad. Sci. Soc. R. Can.28 (2006), 6–11] concerning the solubility of the diophantine equation xn+yn=2αpz2. We also demonstrate, by way of examples, that questions about solubility of a class of diophantine equations of type (3,3,p) or (4,2,p) can be reduced, in certain cases, to studying several equations of the type (p,p,2).
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 82 , Issue 3 , December 2010 , pp. 505 - 510
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2010
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