In this communication, we accomplish special Diophantine triples comprising of square pyramidal numbers such that the product of any two members of the set added by their sum and increased by a polynomial with integer coefficient is a perfect squar
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
Abstract. In this paper, we prove that there does not exist a set of 11 polynomials with coefficient...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
In this paper, we present three non-extendable special Diophantine triples (a,b,c) such that the pro...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
We search for distinct sets of polygonal numbers and centered polygonal numbers a, b, c such that th...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
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 if {k-1, k+1, 4k, d}, where k Z[i] {0, ± 1}, d Z[i], is a Diophantine ...
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
A Diophantine m-tuple is a set of {a1,..., am} of positive rational num-bers or integers such that a...
AbstractIn this paper, we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer...
A Diophantine -tuple is a set of distinct non-zero integers such that the product of any two elemen...
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
Abstract. In this paper, we prove that there does not exist a set of 11 polynomials with coefficient...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
In this paper, we present three non-extendable special Diophantine triples (a,b,c) such that the pro...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
We search for distinct sets of polygonal numbers and centered polygonal numbers a, b, c such that th...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
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 if {k-1, k+1, 4k, d}, where k Z[i] {0, ± 1}, d Z[i], is a Diophantine ...
International audienceThis paper gives a complete four-parameter solution of the simultaneous diopha...
A Diophantine m-tuple is a set of {a1,..., am} of positive rational num-bers or integers such that a...
AbstractIn this paper, we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer...
A Diophantine -tuple is a set of distinct non-zero integers such that the product of any two elemen...
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
Abstract. In this paper, we prove that there does not exist a set of 11 polynomials with coefficient...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
DOI
Add to ORKG