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ON A CLASS OF GENERALIZED FERMAT EQUATIONS.
- Source :
-
Bulletin of the Australian Mathematical Society . Dec2010, Vol. 82 Issue 3, p505-510. 6p. - Publication Year :
- 2010
-
Abstract
- We generalize the main result of the paper by Bennett and Mulholland ['On the diophantine equation xn + yn = 2α pz2, 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). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00049727
- Volume :
- 82
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Australian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 55558928
- Full Text :
- https://doi.org/10.1017/S000497271000033X