International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 2, Pages 311-314
doi:10.1155/S0161171282000295
Positive solutions of the Diophantine equation
W.R. Utz
Department of Mathematics, University of Missouri, Columbia 65211, MO, USA
Abstract
Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.