61 citations · 439 across the 46 of their papers we have counts for
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More on Diophantine sextuples
Andrej Dujella, Matija Kazalicki
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…
Diophantine m-tuples in finite fields and modular forms
Andrej Dujella, Matija Kazalicki
For a prime p, a Diophantine m-tuple in is a set of m nonzero elements of with the property that the product of any two of its distinct elements is on…
Absolute real root separation
Yann Bugeaud, Andrej Dujella, Tomislav Pejkovic +1
While the separation (the minimal nonzero distance) between roots of a polynomial is a classical topic, its absolute counterpart (the minimal nonzero distance between their absolut…
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields
Andrej Dujella, Mirela Jukić Bokun, Ivan Soldo
The possible torsion groups of elliptic curves induced by Diophantine triples over quadratic fields, which do not appear over Q, are Z/2Z x Z/10Z, Z/2Z x Z/12Z and Z/4Z x Z/4Z. In…