Add to ORKGWe search for distinct sets of polygonal numbers and centered polygonal numbers a, b, c such that the product of any two from each set plus a square number is a perfect square
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
Let n be an integer. A set of m positive integers is called a D(n)-m-tuple if the product of any two...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
In this communication, we accomplish special Diophantine triples comprising of square pyramidal numb...
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...
Motivated by some earlier Diophantine works on triangular numbers by Ljungreen and Cassels, we consi...
The starting point of this thesis is a generalization of polygonal numbers to an arbitrary dimension...
We are concerned with Diophantine quintuples, that is, sets {a, b, c, d, e} of distinct positive int...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...
Abstract. In this paper, we prove that if {k − 1, k+ 1, 4k, d}, where k ∈ Z[i]\{0,±1}, d ∈ Z[i], is ...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
Abstract. The paper Pythagorean triples of Polygonal Numbers [3] called our attention to search on a...
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 ...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
Let n be an integer. A set of m positive integers is called a D(n)-m-tuple if the product of any two...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...
Abstract. We search for three distinct polynomials with integer coefficients such that the product o...
In this communication, we accomplish special Diophantine triples comprising of square pyramidal numb...
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...
Motivated by some earlier Diophantine works on triangular numbers by Ljungreen and Cassels, we consi...
The starting point of this thesis is a generalization of polygonal numbers to an arbitrary dimension...
We are concerned with Diophantine quintuples, that is, sets {a, b, c, d, e} of distinct positive int...
In the article the formal characterization of triangular numbers (famous from [15] and words “EYPHKA...
Abstract. In this paper, we prove that if {k − 1, k+ 1, 4k, d}, where k ∈ Z[i]\{0,±1}, d ∈ Z[i], is ...
We show that for infinitely many square-free integers q there exist infinitely many triples of ratio...
Abstract. The paper Pythagorean triples of Polygonal Numbers [3] called our attention to search on a...
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 ...
Let n be an integer. A set of positive integers {a_1, a_2,...,a_m} is said to have the property of D...
Let n be an integer. A set of m positive integers is called a D(n)-m-tuple if the product of any two...
Abstract. In this paper we describe the author’s results concerning the problem of the existence of ...