In this paper, we present three non-extendable Diophantine triples whose members are special numbers, namely, Triangular number, Jacobsthal number, Jacobsthal-Lucas number, Kynea number and Star number with suitable property
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
The starting point of this thesis is a generalization of polygonal numbers to an arbitrary dimension...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...
In this paper, we present three non-extendable special Diophantine triples (a,b,c) such that the pro...
Diophantine 3-tuples with property P-k, for k an integer, are sets of n positive integers such that ...
Abstract. In this paper we prove that for an integer k such that jkj 2, the D(2k + 1)-triple f1; k2...
The Pythagoras theorem is very famous in the literature of mathematics. It lead us to many Pythagore...
Let P and Q be nonzero integers. Generalized Fibonacci and Lucas sequences are defined as follows: U...
In this paper we worked with generating Pythagorean triples by use of two variables Pythagoras theor...
In this paper, we define a Lucas-Lehmer type sequence denoted by (L-n)(n=0)(infinity), and show that...
Abstract. For a nonzero integer n, a set of m distinct positive inte-gers fa1; : : : ; amg is called...
Abstract. In this paper, we prove that if {k − 1, k+ 1, 4k, d}, where k ∈ Z[i]\{0,±1}, d ∈ Z[i], is ...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
In this paper, we show that there are no three distinct positive integers a, b, c such that ab+1, ac...
We explore the generalization of famous Pythagorean triples (a, b, c) for triangles to Pythagorean q...
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
The starting point of this thesis is a generalization of polygonal numbers to an arbitrary dimension...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...
In this paper, we present three non-extendable special Diophantine triples (a,b,c) such that the pro...
Diophantine 3-tuples with property P-k, for k an integer, are sets of n positive integers such that ...
Abstract. In this paper we prove that for an integer k such that jkj 2, the D(2k + 1)-triple f1; k2...
The Pythagoras theorem is very famous in the literature of mathematics. It lead us to many Pythagore...
Let P and Q be nonzero integers. Generalized Fibonacci and Lucas sequences are defined as follows: U...
In this paper we worked with generating Pythagorean triples by use of two variables Pythagoras theor...
In this paper, we define a Lucas-Lehmer type sequence denoted by (L-n)(n=0)(infinity), and show that...
Abstract. For a nonzero integer n, a set of m distinct positive inte-gers fa1; : : : ; amg is called...
Abstract. In this paper, we prove that if {k − 1, k+ 1, 4k, d}, where k ∈ Z[i]\{0,±1}, d ∈ Z[i], is ...
t square then there exists an infinite number of Diophantine quadruples with the property D(n). Prec...
In this paper, we show that there are no three distinct positive integers a, b, c such that ab+1, ac...
We explore the generalization of famous Pythagorean triples (a, b, c) for triangles to Pythagorean q...
Abstract- This paper concerns with the study of constructing strong rational Diophantine triples and...
The starting point of this thesis is a generalization of polygonal numbers to an arbitrary dimension...
This note gives a summary of the paper [M. Cipu, Y. Fujita, M. Mignotte, Two-parameter families of u...