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math.NT2018★ 5 cited
Strong Eulerian triples
Andrej Dujella, Ivica Gusić, Vinko Petričević +1
We prove that there exist infinitely many rationals a, b and c with the property that a^2-1, b^2-1, c^2-1, ab-1, ac-1 and bc-1 are all perfect squares. This provides a solution to…
math.NT2014★ 4 cited
The rank and generators of Kihara's elliptic curve with torsion over
Andrej Dujella, Ivica Gusić, Petra Tadić
For the elliptic curve over found by Kihara, with torsion group and rank , which is the current record for the rank of such cur…