Title of article :
On the Positive Integral Solutions of the Diophantine Equation x^3 + by + 1 − xyz = 0
Author/Authors :
Luca, Florian Universidad Nacional Autónoma de México(UNAM), Campus Morelia - Instituto de Matematicas, Mexico , Togbe, Alain Purdue University North Central - Mathematics Department, USA
Abstract :
In this paper, we prove a weaker form of a conjecture of Mohanty and Ramasamy [6] concerning the number of positive integer solutions (x, y, z) of the title equation.
Keywords :
Diophantine equations , cubic equations , counting solutions of Diophantine equations.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
