Add to ORKGWe are concerned with Diophantine quintuples, that is, sets {a, b, c, d, e} of distinct positive integers the product of any two of which is one less than a perfect square. We present some recent progress in the area and give a series of 9 wishes for future research on the topic
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
It is proved that there does not exist a set of four positive integers with the property that the pr...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
We consider Diophantine quintuples {a,b,c,d,e}{a,b,c,d,e}. These are sets of distinct positive integ...
A Diophantine -tuple is a set of distinct non-zero integers such that the product of any two elemen...
Abstract. A famous problem posed by Diophantus was to nd sets of distinct positive rational numbers ...
We consider Diophantine quintuples {a,b,c,d,e}. These are sets of positive integers, the product of ...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct ...
AbstractA set {a1,…,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
In this paper we describe the author\u27s results concerning the problem of the existence of a set o...
A set of m positive integers is called a Diophantine m-tuple if the product of any two of them is on...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
For a nonzero integer n, a set of distinct nonzero integers {a_{1} : a_{2} : a_{m}} such that a_{i}a...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
It is proved that there does not exist a set of four positive integers with the property that the pr...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
We consider Diophantine quintuples {a,b,c,d,e}{a,b,c,d,e}. These are sets of distinct positive integ...
A Diophantine -tuple is a set of distinct non-zero integers such that the product of any two elemen...
Abstract. A famous problem posed by Diophantus was to nd sets of distinct positive rational numbers ...
We consider Diophantine quintuples {a,b,c,d,e}. These are sets of positive integers, the product of ...
Abstract. A set {a1,..., am} of m distinct positive integers is called a Diophantine m-tuple if aiaj...
A set of m positive integers is called a Diophantine m-tuple if the product of its any two distinct ...
AbstractA set {a1,…,am} of m distinct positive integers is called a Diophantine m-tuple if aiaj+1 is...
This paper concerns with the study of construction of Diophantine quadruples such that the product o...
In this paper we describe the author\u27s results concerning the problem of the existence of a set o...
A set of m positive integers is called a Diophantine m-tuple if the product of any two of them is on...
A set of m positive integers {a1,...,am} is called a Diophantine m-tuple if the product of any two e...
For a nonzero integer n, a set of distinct nonzero integers {a_{1} : a_{2} : a_{m}} such that a_{i}a...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
It is proved that there does not exist a set of four positive integers with the property that the pr...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...