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Abstract
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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.