I. Soldo

activity

20162026

collaborators

3 papers

math.NT2026

Infinite families of Diophantine quadruples in $Z [- 2]$ in the remaining exceptional congruence classes

Andrej Dujella, Ivan Soldo

We continue the study of $D (z)$ -quadruples in the ring $Z [- 2]$ . Motivated by the earlier classification due to the authors and by the subsequent partial results for…

math.NT2017

A Pellian equation with primes and applications to D(-1)-quadruples

Andrej Dujella, Mirela Jukić Bokun, Ivan Soldo

In this paper, we prove that the equation $x^{2} - (p^{2 k + 2} + 1) y^{2} = - p^{2 l + 1}$ , $l \in {0, 1, \dots, k}, k \geq 0$ , where $p$ is an odd prime number, is not solvable in positive integers…

math.NT2016

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…

Infinite families of Diophantine quadruples in Z[−2​] in the remaining exceptional congruence classes

A Pellian equation with primes and applications to D(-1)-quadruples

On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields

Infinite families of Diophantine quadruples in $Z [- 2]$ in the remaining exceptional congruence classes