ON A CLASS OF GENERALIZED FERMAT EQUATIONS.

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]