Zrinka Franuvsi'c

activity

20132026

collaborators

3 papers

math.NT2026

Differences of squares of upper-triangular $2 \times 2$ integer matrices

Andrej Dujella, Zrinka Franušić

We consider the problem of characterizing upper-triangular matrices $M = (p 0 r q) \in M_{2} (Z)$ which can be represented in the form $A^{2} - B^{2}$ with u…

math.NT2016

Computing relative power integral bases in a family of quartic extensions of imaginary quadratic fields

Zrinka Franušić, Borka Jadrijević

Let $M$ be an imaginary quadratic field with the ring of integers $Z_{M}$ and let $ξ$ be a root of polynomial $f (x) = x^{4} - 2 c x^{3} + 2 x^{2} + 2 c x + 1,$ where $c\in…

math.NT2013

Non-extensibility of the pair ${1, 3}$ to a Diophantine quintuple in $Z [- d]$

Zrinka Franušić, Dijana Kreso

We show that the Diophantine pair ${1, 3}$ can not be extended to a Diophantine quintuple in $Z [- 2]$ . This result completes the work of the first autho…

Differences of squares of upper-triangular 2×2 integer matrices

Computing relative power integral bases in a family of quartic extensions of imaginary quadratic fields

Non-extensibility of the pair {1,3} to a Diophantine quintuple in Z[−d​]

Differences of squares of upper-triangular $2 \times 2$ integer matrices

Non-extensibility of the pair ${1, 3}$ to a Diophantine quintuple in $Z [- d]$