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

Received 17 August 1981; Revised 23 October 1981

Abstract

Integral solutions of x3+λy+1xyz=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.