AbstractLet n be an integer. D(n)-m-tuple is a set of m positive integers with the property that the product of any two of them increased by n is a perfect square. In this paper, we prove that there does not exist a D(4)-sextuple
A set {a1, ... ,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is a p...
For a nonzero integer n, a set of m distinct positive integers {a1, ... , am} is called a D(n)-m-tup...
A set of m positive integers is called a Diophantine m-tuple if the product of any two of them is on...
AbstractLet n be an integer. D(n)-m-tuple is a set of m positive integers with the property that the...
The set of $m$ positive integers with the property that the product of any two of them increased by ...
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct ...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illust...
For a nonzero integer n, a set of distinct nonzero integers {a_{1} : a_{2} : a_{m}} such that a_{i}a...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...
A set {a1, ... ,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is a p...
For a nonzero integer n, a set of m distinct positive integers {a1, ... , am} is called a D(n)-m-tup...
A set of m positive integers is called a Diophantine m-tuple if the product of any two of them is on...
AbstractLet n be an integer. D(n)-m-tuple is a set of m positive integers with the property that the...
The set of $m$ positive integers with the property that the product of any two of them increased by ...
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct ...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illust...
For a nonzero integer n, a set of distinct nonzero integers {a_{1} : a_{2} : a_{m}} such that a_{i}a...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Let n be a nonzero integer. A set of m distinct positive integers is called a D(n)-m-tuple if the pr...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...
A set {a1, ... ,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is a p...
For a nonzero integer n, a set of m distinct positive integers {a1, ... , am} is called a D(n)-m-tup...
A set of m positive integers is called a Diophantine m-tuple if the product of any two of them is on...