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 …

Diophantine 3-tuples with property Pk, fork an integer, are sets of n positive integers such
that product of any two of them by addingk is a square. In the present paper, we consider …

On nonexistence of D(n)-quadruples Skip to content Should you have institutional access?
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ON THE SIZE OF DIOPHANTINE M-TUPLES FOR LINEAR POLYNOMIALS Page 1 Miskolc
Mathematical Notes HU e-ISSN 1787-2413 Vol. 17 (2016), No. 2, pp. 861–876 DOI …

Let n be a nonzero integer. A set of nonzero integers {a 1,…, am} such that aia j+ n is a
perfect square for all 1≤ i< j≤ m is called a D (n)-m-tuple. In this paper, we consider the …

This chapter is devoted to the generalization of the notion of Diophantine m-tuples in which
the condition that ab+ 1 is a square is replaced by ab+ n is a square for a fixed integer or …

In the present paper, we consider some D (s) Diophantine triples for a prime integer s with its
negative case/value although there exist infinitely many Diophantine triples. We give several …

Some Results on Especial Diophantine Sets with Size-3 Page 1 Some Results on Especial
Diophantine Sets with Size-3 Özen ÖZER1* 1Faculty of Engineering, Kırklareli University …

Although it is known that there are an infinite number of Diophantine P_1 triples, there is no
complete characterization for these triples. This paper is a continuation and a generalization …

Diophantine n-tuple where n= 3 is called as a Diophantine triple. It means that Diophantine
triple is a set of three positive integers satisfying special condition. For example,{a, b, c} is …