Nikola Adžaga

collaborators

3 papers

math.NT2026

Arithmetic of elliptic curves induced by regular Diophantine triples

Nikola AdÅ¾aga

We study elliptic curves induced by regular Diophantine triples, with emphasis on their torsion subgroups. We show that an elliptic curve $E$ induced by a regular Diophantine tripl…

math.NT2026

The extensibility of the Diophantine triple ${2, b, c}$

Nikola AdÅ¾aga, Alan Filipin, Ana JurasiÄ

The aim of this paper is to consider the extensibility of the Diophantine triple ${2, b, c}$ , where $2 < b < c$ , and to prove that such a set cannot be extended to an irregular Diophan…

math.NT2024

Asymptotics of $D (q)$ -pairs and triples via $L$ -functions of Dirichlet charaters

Nikola AdÅ¾aga, Goran DraÅ¾iÄ, Andrej Dujella +1

Let $q$ be an integer. A $D (q)$ - $m$ -tuple is a set of $m$ distinct positive integers $a_{1}, a_{2}, ..., a_{m}$ such that $a_{i} a_{j} + q$ is a perfect square for all $1 \leq i < j \leq…

Arithmetic of elliptic curves induced by regular Diophantine triples

The extensibility of the Diophantine triple {2,b,c}

Asymptotics of D(q)-pairs and triples via L-functions of Dirichlet charaters

The extensibility of the Diophantine triple ${2, b, c}$

Asymptotics of $D (q)$ -pairs and triples via $L$ -functions of Dirichlet charaters