On the Positive Integral Solutions of the Diophantine Equation x3+ by + 1 - xyz = 0
Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 2
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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.
Classification :
11D25, 11D45.
@article{BMMS_2008_31_2_a1,
author = {Florian Luca and Alain Togbe},
title = {On the {Positive} {Integral} {Solutions} of the {Diophantine} {Equation} x3+ by + 1 - xyz = 0},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2008},
volume = {31},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a1/}
}
Florian Luca; Alain Togbe. On the Positive Integral Solutions of the Diophantine Equation x3+ by + 1 - xyz = 0. Bulletin of the Malaysian Mathematical Society, Tome 31 (2008) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2008_31_2_a1/