On a Diophantine Equation of Stroeker
Florian Luca, Pantelimon Stănică, and Alain Togbé
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 17, Number 2
(2010), 201-208.
Abstract
In this paper, we prove that there are infinitely many positive integers $N$ such that the Diophantine equation $(x^2+y)(x+y^2)=N(x-y)^3$ has no nontrivial integer solution $(x,y)$.
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Bulletin of the Belgian Mathematical Society - Simon Stevin
