summary:Consider the equation in the title in unknown integers $(x,y,k,l,n)$ with $x \ge 1$, $y >1$, $n \ge 3$, $k \ge 0$, $l \ge 0$ and $\gcd (x,y)=1$. Under the above conditions we give all solutions of the title equation (see Theorem 1)
In this work, I examine specific families of Diophantine equations and prove that they have no solut...
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\g...
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\g...
summary:Consider the equation in the title in unknown integers $(x,y,k,l,n)$ with $x \ge 1$, $y >1$,...
summary:Consider the equation in the title in unknown integers $(x,y,k,l,n)$ with $x \ge 1$, $y >1$,...
We give the complete solution (n, a, b, x, y) of the title equation when gcd(x,y) = 1, except for th...
summary:Let $\mathbb {Z}$, $ \mathbb {N}$ be the sets of all integers and positive integers, respect...
summary:Let $\mathbb {Z}$, $ \mathbb {N}$ be the sets of all integers and positive integers, respect...
summary:Let $\mathbb {Z}$, $ \mathbb {N}$ be the sets of all integers and positive integers, respect...
summary:In this paper, we find all integer solutions $ (x, y, n, a, b, c) $ of the equation in the t...
AbstractThe equation of the title is studied for 1 ≤ D ≤ 100. It is shown that for such values of D ...
AbstractIn this paper, we prove the equation in the title has no positive integer solutions (x,y,n) ...
We show that the Diophantine equation 2x+ 17y = z^2, has exactlyve solutions (x; y; z) in positive i...
In this paper, we show that the Diophantine equation 3 x + 5 y = z 2 has a unique non-negative integ...
We investigate positive solutions (x,y) of the Diophantine equation x2-(k2+1)y2=k2 that satisfy y < ...
In this work, I examine specific families of Diophantine equations and prove that they have no solut...
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\g...
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\g...
summary:Consider the equation in the title in unknown integers $(x,y,k,l,n)$ with $x \ge 1$, $y >1$,...
summary:Consider the equation in the title in unknown integers $(x,y,k,l,n)$ with $x \ge 1$, $y >1$,...
We give the complete solution (n, a, b, x, y) of the title equation when gcd(x,y) = 1, except for th...
summary:Let $\mathbb {Z}$, $ \mathbb {N}$ be the sets of all integers and positive integers, respect...
summary:Let $\mathbb {Z}$, $ \mathbb {N}$ be the sets of all integers and positive integers, respect...
summary:Let $\mathbb {Z}$, $ \mathbb {N}$ be the sets of all integers and positive integers, respect...
summary:In this paper, we find all integer solutions $ (x, y, n, a, b, c) $ of the equation in the t...
AbstractThe equation of the title is studied for 1 ≤ D ≤ 100. It is shown that for such values of D ...
AbstractIn this paper, we prove the equation in the title has no positive integer solutions (x,y,n) ...
We show that the Diophantine equation 2x+ 17y = z^2, has exactlyve solutions (x; y; z) in positive i...
In this paper, we show that the Diophantine equation 3 x + 5 y = z 2 has a unique non-negative integ...
We investigate positive solutions (x,y) of the Diophantine equation x2-(k2+1)y2=k2 that satisfy y < ...
In this work, I examine specific families of Diophantine equations and prove that they have no solut...
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\g...
summary:In this paper, we find all solutions of the Diophantine equation $x^2+2^\alpha 5^\beta 17^\g...
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