A set of positive integers with the property that the product of any two of them is the
successor of a perfect square is called Diophantine D (− 1) D(-1)‐set. Such objects are …

Let n be a nonzero integer. A set of m positive integers {a1, a2,…, am} is said to have the
property D (n) if aiaj+ n is a perfect square for all 1 [les] i [les] j [les] m. Such a set is called a …

Abstract The D (− 1)-quadruple conjecture states that there does not exist a set of four
positive integers such that the product of any two distinct elements is one greater than a …

A set of Gaussian integers is said to have the property D (z) if the product of its any two
distinct elements increased by z is a square of a Gaussian integer. In this paper it is proved …

Diophantine m-tuples and elliptic curves Page 1 JOURNAL DE THÉORIE DES NOMBRES
DE BORDEAUX ANDREJ DUJELLA Diophantine m-tuples and elliptic curves Journal de …

BOUNDS FOR THE SIZE OF SETS WITH THE PROPERTY D(n) Andrej Dujella University of
Zagreb, Croatia 1. Introduction Let n be a nonze Page 1 GLASNIK MATEMATICKI Vol. 39(59)(2004) …

It is proved that if $ k $ and $ d $ are positive integers such that the product of any two
distinct elements of the set\[\{F_ {2k},\, 5F_ {2k},\, 4F_ {2k+ 2},\, d\}\] increased by $4 $ is a …

Sažetak Let n be a non-zero integer. A set of m positive integers {a1, a2,⋯, am} such that
aiaj+ n is a perfect square for all 1≤ i< j≤ m is called a Diophantine m-tuple with the …

A Diophantine m-tuple with property D (n), where n is a non-zero integer, is a set of m
positive integers {a 1,..., am} such that aia j+ n is a perfect square for all 1⩽ i< j⩽ m. It is …

Acta Mathematica et Informatica Universitatis Ostraviensis Page 1 Acta Mathematica et
Informatica Universitatis Ostraviensis Andrej Dujella Complete solution of a family of simultaneous …