In this paper, we find non-negative (n, m, a) integer solutions of the diophantine equation F-n-F-m = 3(a) where F-n and F-m are Fibonacci numbers. For proving our theorem, we use lower bounds in linear forms
summary:Let $F_n$ denote the $n^{th}$ term of the Fibonacci sequence. In this paper, we investigate ...
This work is dedicated to study the Fermat's Diophantine equation over the 3-refined neutrosophic ri...
In this paper, we show that (3, 0, 3) is a unique non-negative integer solution for the Diophantine ...
In this paper, we find all the solutions of the title Diophantine equation in positive integer varia...
In this paper we find (n, m, a) solutions of the Diophantine equation L-n - L-m = 2 . 3(a), where L-...
In this paper, we show that the diophantine equation Fn = pa ± pb has only finitely many positive in...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
In this study, we consider the Diophantine equations given in the title and determine when these equ...
This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for ...
Komatsu† Abstract. We determine the number of solutions of the equation a1x1+a2x2+ · · ·+amxm = b i...
AbstractIn this paper, we prove the equation in the title has no positive integer solutions (x,y,n) ...
AbstractBy Minkowski′s theorem on linear forms it is shown that the homogeneous linear diophantine e...
AbstractBy Minkowski′s theorem on linear forms it is shown that the homogeneous linear diophantine e...
Fn, for n ≥ 0. In this note, we find all solutions of the Diophantine equation m1! · · ·mk! ± 1 = ...
summary:Let $F_n$ denote the $n^{th}$ term of the Fibonacci sequence. In this paper, we investigate ...
summary:Let $F_n$ denote the $n^{th}$ term of the Fibonacci sequence. In this paper, we investigate ...
This work is dedicated to study the Fermat's Diophantine equation over the 3-refined neutrosophic ri...
In this paper, we show that (3, 0, 3) is a unique non-negative integer solution for the Diophantine ...
In this paper, we find all the solutions of the title Diophantine equation in positive integer varia...
In this paper we find (n, m, a) solutions of the Diophantine equation L-n - L-m = 2 . 3(a), where L-...
In this paper, we show that the diophantine equation Fn = pa ± pb has only finitely many positive in...
Diophantine equation is an algebraic equation in two or more variables in which solutions to it are ...
In this study, we consider the Diophantine equations given in the title and determine when these equ...
This paper discusses an integral solution (a, b, c) of the Diophantine equations x3n+y3n = 2z2n for ...
Komatsu† Abstract. We determine the number of solutions of the equation a1x1+a2x2+ · · ·+amxm = b i...
AbstractIn this paper, we prove the equation in the title has no positive integer solutions (x,y,n) ...
AbstractBy Minkowski′s theorem on linear forms it is shown that the homogeneous linear diophantine e...
AbstractBy Minkowski′s theorem on linear forms it is shown that the homogeneous linear diophantine e...
Fn, for n ≥ 0. In this note, we find all solutions of the Diophantine equation m1! · · ·mk! ± 1 = ...
summary:Let $F_n$ denote the $n^{th}$ term of the Fibonacci sequence. In this paper, we investigate ...
summary:Let $F_n$ denote the $n^{th}$ term of the Fibonacci sequence. In this paper, we investigate ...
This work is dedicated to study the Fermat's Diophantine equation over the 3-refined neutrosophic ri...
In this paper, we show that (3, 0, 3) is a unique non-negative integer solution for the Diophantine ...