Teorija brojeva grana je matematike koja se ponajprije bavi proucavanjem svojstava
prirodnih brojeva kao što su djeljivost, rastav na proste faktore ili rješivost jednadžbi u …

Number theory is a branch of mathematics that is primarily focused on the study of positive
integers, or natural numbers, and their properties such as divisibility, prime factorization, or …

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 …

For a nonzero integer n, a set of m distinct nonzero integers {a_1, a_2, ..., a_m\} a 1, a 2,…,
am such that a_ia_j+ n aiaj+ n is a perfect square for all 1 ≤ i< j ≤ m 1≤ i< j≤ m, is called a …

In this paper, we prove that every Diophantine quadruple in Z i XZ i X is regular. More
precisely, we prove that if {a, b, c, d\} a, b, c, d is a set of four non-zero polynomials from Z i …

ON THE EXISTENCE OF D(−3)-QUADRUPLES OVER Z Alan Filipin and Ana Jurasic University
of Zagreb and University of Rijeka, Croati Page 1 GLASNIK MATEMATICKI Vol. 57(77)(2022) …

POLYNOMIAL D(4)-QUADRUPLES OVER GAUSSIAN INTEGERS Marija Bliznac Trebješanin
and Sanda Bujacic Babic University of Split, Unive Page 1 GLASNIK MATEMATICKI Vol …

A set {a, b, c, d} of four non-zero distinct polynomials in Z [i][X] is said to be a Diophantine D
(4)-quadruple if the product of any two of its distinct elements increased by 4 is a square of …

This book provides an overview of the main historical and recent results and problems
concerning Diophantine m-tuples and their various generalizations, with special emphasis …

A Diophantine 𝑚-tuple is a set of 𝑚 distinct non-zero integers such that the product of any
two elements of the set is one less than a square. The definition can be generalised to any …