In this paper we describe the author\u27s results concerning the problem of the existence of a set of four or five positive integers with the property that the product of its any two distinct elements increased by a fixed integer n is a perfect square
AbstractA set of m positive integers is called a Diophantine m-tuple if the product of its any two d...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
AbstractIn this paper, we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer...
In this paper we describe the author\u27s results concerning the problem of the existence of a set o...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
We consider Diophantine quintuples {a,b,c,d,e}. These are sets of positive integers, the product of ...
Let a and b be positive integers with a<b , such that ab+1 is a perfect square. In this paper we giv...
A set {a1, ... ,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is a p...
In this paper we prove that every Diophantine quadruple in ℝ [X] is regular. In other words, we prov...
We show that there are only finitely many Diophantine quadruples, that is, sets of four positive int...
In this paper, we prove that there does not exist a set of four positive integers {1, 2, c, d} such ...
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct ...
AbstractA set of m positive integers is called a Diophantine m-tuple if the product of its any two d...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
AbstractIn this paper, we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer...
In this paper we describe the author\u27s results concerning the problem of the existence of a set o...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
We consider Diophantine quintuples {a,b,c,d,e}. These are sets of positive integers, the product of ...
Let a and b be positive integers with a<b , such that ab+1 is a perfect square. In this paper we giv...
A set {a1, ... ,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is a p...
In this paper we prove that every Diophantine quadruple in ℝ [X] is regular. In other words, we prov...
We show that there are only finitely many Diophantine quadruples, that is, sets of four positive int...
In this paper, we prove that there does not exist a set of four positive integers {1, 2, c, d} such ...
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct ...
AbstractA set of m positive integers is called a Diophantine m-tuple if the product of its any two d...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
AbstractIn this paper, we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer...
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