DOIAbstract
We show that for infinitely many square-free integers q there exist infinitely many triples of rational numbers {a, b, c} such that a(2) + q, b(2) + q, c(2) + q, ab q, ac q and be q are squares of rational numbers
We show that for infinitely many square-free integers q there exist infinitely many triples of rational numbers {a, b, c} such that a(2) + q, b(2) + q, c(2) + q, ab q, ac q and be q are squares of rational numbers
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
AbstractA set {a1,…,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 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 ...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
We prove that there exist infinitely many rationals a, b and c with the property that [a^2-1, b^2-1,...
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
Abstract. We give conditions on the rational numbers a, b, c which imply that there are infinitely m...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
AbstractLet q be a nonzero rational number. We investigate for which q there are infinitely many set...
A Diophantine m-tuple is a set of {a1,..., am} of positive rational num-bers or integers such that a...
AbstractThe wealth of Pythagorean number triples is demonstrated afresh by showing that for every ra...
Abstract. A famous problem posed by Diophantus was to nd sets of distinct positive rational numbers ...
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 communication, we accomplish special Diophantine triples comprising of square pyramidal numb...
We study the Diophantine system{ x1 + · · ·+ xn = a, x3 1 + · · ·+ x3n = b, where a, b ∈ Q, ab 6 =...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
AbstractA set {a1,…,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 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 ...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
We prove that there exist infinitely many rationals a, b and c with the property that [a^2-1, b^2-1,...
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
Abstract. We give conditions on the rational numbers a, b, c which imply that there are infinitely m...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
AbstractLet q be a nonzero rational number. We investigate for which q there are infinitely many set...
A Diophantine m-tuple is a set of {a1,..., am} of positive rational num-bers or integers such that a...
AbstractThe wealth of Pythagorean number triples is demonstrated afresh by showing that for every ra...
Abstract. A famous problem posed by Diophantus was to nd sets of distinct positive rational numbers ...
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 communication, we accomplish special Diophantine triples comprising of square pyramidal numb...
We study the Diophantine system{ x1 + · · ·+ xn = a, x3 1 + · · ·+ x3n = b, where a, b ∈ Q, ab 6 =...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
AbstractA set {a1,…,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 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 ...
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