Add to ORKGThe set of $m$ positive integers with the property that the product of any two of them increased by $4$ is a perfect square is called a $D(4)$-$m$-tuple. In this paper we consider the extensibility of general $D(4)$-pair ${a,b}$ and prove some results that support the conjecture that there does not exist a $D(4)$-quintuple
In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illust...
AbstractLet n be an integer. D(n)-m-tuple is a set of m positive integers with the property that the...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
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...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...
For a nonzero integer n, a set of m distinct positive integers {a1, ... , am} is called a D(n)-m-tup...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...
In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illust...
AbstractLet n be an integer. D(n)-m-tuple is a set of m positive integers with the property that the...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
In this paper, we study the extensibility of the D(4)-triple {1, b, c}, where 1 < b < c, by proving ...
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...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
Let k ≥ 1 be an integer and let F_k be the k-th Fibonacci number and P_k k-th Pell number. In this p...
In this paper we prove that if {a,b,c,d} is a set of four non-zero polynomials with integer coeffici...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...
For a nonzero integer n, a set of m distinct positive integers {a1, ... , am} is called a D(n)-m-tup...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...
In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illust...
AbstractLet n be an integer. D(n)-m-tuple is a set of m positive integers with the property that the...
Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,...