On a Diophantine Equation of Stroeker
Luca, Florian ; Stănică, Pantelimon ; Togbé, Alain
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 201-208 / Harvested from Project Euclid
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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 $(x,y)$.
Publié le : 2010-04-15
Classification:  Diophantine equations,  Elliptic Curves,  11D25,  11G05 
@article{1274896199,
     author = {Luca, Florian and St\u anic\u a, Pantelimon and Togb\'e, Alain},
     title = {On a Diophantine Equation of Stroeker},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {17},
     number = {1},
     year = {2010},
     pages = { 201-208},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1274896199}
}

Luca, Florian; Stănică, Pantelimon; Togbé, Alain. On a Diophantine Equation of Stroeker. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp.  201-208. http://gdmltest.u-ga.fr/item/1274896199/