V. Petricevic

collaborators

4 papers

math.NT2020

D(n)-quintuples with square elements

Andrej Dujella, Matija Kazalicki, Vinko Petričević

For an integer n, a set of m distinct nonzero integers {a_1,a_2,...,a_m} such that a_i a_j+n is a perfect square for all 0<i<j<m+1, is called a D(n)-m-tuple. In this paper, we show…

math.NT2020

Doubly regular Diophantine quadruples

Andrej Dujella, Vinko Petričević

For a nonzero integer n, a set of m distinct nonzero integers {a_1,a_2,...,a_m} such that a_i a_j + n is a perfect square for all 1 <= i < j <= m, is called a D(n)-m-tuple. In this…

math.NT2019

On the largest element in D(n)-quadruples

Andrej Dujella, Vinko Petričević

Let $n$ be a nonzero integer. A set of nonzero integers ${a_{1}, \dots, a_{m}}$ such that $a_{i} a_{j} + n$ is a perfect square for all $1 \leq i < j \leq m$ is called a $D (n)$ - $m$ -tuple. In thi…

math.NT2019

Diophantine quadruples with the properties $D (n_{1})$ and $D (n_{2})$

Andrej Dujella, Vinko Petričević

For a nonzero integer $n$ , a set of $m$ distinct nonzero integers ${a_{1}, a_{2}, ..., a_{m}}$ such that $a_{i} a_{j} + n$ is a perfect square for all $1 \leq i < j \leq m$ , is called a $D (n)$ -$…

D(n)-quintuples with square elements

Doubly regular Diophantine quadruples

On the largest element in D(n)-quadruples

Diophantine quadruples with the properties D(n1​) and D(n2​)

Diophantine quadruples with the properties $D (n_{1})$ and $D (n_{2})$