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math.NT2015★ 40 cited
There are infinitely many rational Diophantine sextuples
Andrej Dujella, Matija Kazalicki, Miljen Mikić +1
A rational Diophantine m-tuple is a set of m nonzero rationals such that the product of any two of them increased by 1 is a perfect square. The first rational Diophantine quadruple…
math.NT2015★ 3 cited
Elliptic curves with torsion group
A. Dujella, J. C. Peral, P. Tadić
We exhibit several families of elliptic curves with torsion group isomorphic to and generic rank at least . Families of this kind have been constructed previously by s…