Add to ORKGIn this paper, we present three non-extendable special Diophantine triples (a,b,c) such that the product of any two elements of the set minus with their sum and increased by a polynomial with integer coefficients is a Perfect square
In this paper we prove that there does not exist a set of four non-zero polynomials from (mathbb{Z}[...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
We prove that there do not exist different positive integers c,d> 1 such that the product of any ...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
Diophantine 3-tuples with property P-k, for k an integer, are sets of n positive integers such that ...
In this communication, we accomplish special Diophantine triples comprising of square pyramidal numb...
In this paper, we present three non-extendable Diophantine triples whose members are special numbers...
Let a and b be positive integers with a<b , such that ab+1 is a perfect square. In this paper we giv...
In this paper we prove that every Diophantine quadruple in ℝ [X] is regular. In other words, we prov...
Abstract. In this paper, we prove that there does not exist a set of 11 polynomials with coefficient...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...
Abstract. For a nonzero integer n, a set of m distinct positive inte-gers fa1; : : : ; amg is called...
Abstract. In this paper, we prove that if {k − 1, k+ 1, 4k, d}, where k ∈ Z[i]\{0,±1}, d ∈ Z[i], is ...
In this paper we prove that there does not exist a set of four non-zero polynomials from (mathbb{Z}[...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
We prove that there do not exist different positive integers c,d> 1 such that the product of any ...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
Diophantine 3-tuples with property P-k, for k an integer, are sets of n positive integers such that ...
In this communication, we accomplish special Diophantine triples comprising of square pyramidal numb...
In this paper, we present three non-extendable Diophantine triples whose members are special numbers...
Let a and b be positive integers with a<b , such that ab+1 is a perfect square. In this paper we giv...
In this paper we prove that every Diophantine quadruple in ℝ [X] is regular. In other words, we prov...
Abstract. In this paper, we prove that there does not exist a set of 11 polynomials with coefficient...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...
Abstract. For a nonzero integer n, a set of m distinct positive inte-gers fa1; : : : ; amg is called...
Abstract. In this paper, we prove that if {k − 1, k+ 1, 4k, d}, where k ∈ Z[i]\{0,±1}, d ∈ Z[i], is ...
In this paper we prove that there does not exist a set of four non-zero polynomials from (mathbb{Z}[...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
We prove that there do not exist different positive integers c,d> 1 such that the product of any ...