Strong Diophantine Triples
Dujella, Andrej ; Petričcević, Vinko
Experiment. Math., Tome 17 (2008) no. 1, p. 83-89 / Harvested from Project Euclid
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We prove that there exist infinitely many triples $a,b,c$ of nonzero rational numbers with the property that $a^2+1$, $b^2+1$, $c^2+1$, $ab+1$, $ac+1$, and $bc+1$ are perfect squares.
Publié le : 2008-05-15
Classification:  Diophantine triples,  elliptic curves,  11D09,  11G05,  11Y50 
@article{1227031899,
     author = {Dujella, Andrej and Petri\v ccevi\'c, Vinko},
     title = {Strong Diophantine Triples},
     journal = {Experiment. Math.},
     volume = {17},
     number = {1},
     year = {2008},
     pages = { 83-89},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1227031899}
}

Dujella, Andrej; Petričcević, Vinko. Strong Diophantine Triples. Experiment. Math., Tome 17 (2008) no. 1, pp.  83-89. http://gdmltest.u-ga.fr/item/1227031899/