In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation. We show that the Diophantine equation has infinitely many positive solutions
A particular case of a conjecture of Erdös and Graham, which concerns the number of integer points o...
AbstractWe prove that the equation x2 − kxy + y2 + x = 0 with k ϵ N+ has an infinite number of posit...
AbstractThe equation of the title is studied for 1 ≤ D ≤ 100. It is shown that for such values of D ...
AbstractWe prove that the Diophantine equation x2−kxy+y2+lx=0,l∈{1,2,4} has an infinite number of po...
AbstractIn this paper, we prove the equation in the title has no positive integer solutions (x,y,n) ...
In this short note, we shall give a result similar to Y. Zhang and T. Cai [5] which states the dioph...
AbstractIn this paper we give some necessary conditions satisfied by the integer solutions of the Di...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
Generalizing some earlier results, we find all the coprime integer solutions of the Diophantine ineq...
In this paper we provide bounds for the size of the solutions of some Diophantine equation
AbstractLet A1, …, Ar, x1, …, xr, and A be known positive integers. Let f(A) be the number of intege...
AbstractIn this study, we investigate positive integer solutions of the Diophantine equations x2−kxy...
§1. Introduction, By a remarkable result of Erdos and Selfridge [3] in 1975. the diophantine equatio...
For positive integers x, y, the equation x4 + (n2-2)y - z always has the trivial solution x - y. In ...
We investigate positive solutions (x,y) of the Diophantine equation x2-(k2+1)y2=k2 that satisfy y < ...
A particular case of a conjecture of Erdös and Graham, which concerns the number of integer points o...
AbstractWe prove that the equation x2 − kxy + y2 + x = 0 with k ϵ N+ has an infinite number of posit...
AbstractThe equation of the title is studied for 1 ≤ D ≤ 100. It is shown that for such values of D ...
AbstractWe prove that the Diophantine equation x2−kxy+y2+lx=0,l∈{1,2,4} has an infinite number of po...
AbstractIn this paper, we prove the equation in the title has no positive integer solutions (x,y,n) ...
In this short note, we shall give a result similar to Y. Zhang and T. Cai [5] which states the dioph...
AbstractIn this paper we give some necessary conditions satisfied by the integer solutions of the Di...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
Generalizing some earlier results, we find all the coprime integer solutions of the Diophantine ineq...
In this paper we provide bounds for the size of the solutions of some Diophantine equation
AbstractLet A1, …, Ar, x1, …, xr, and A be known positive integers. Let f(A) be the number of intege...
AbstractIn this study, we investigate positive integer solutions of the Diophantine equations x2−kxy...
§1. Introduction, By a remarkable result of Erdos and Selfridge [3] in 1975. the diophantine equatio...
For positive integers x, y, the equation x4 + (n2-2)y - z always has the trivial solution x - y. In ...
We investigate positive solutions (x,y) of the Diophantine equation x2-(k2+1)y2=k2 that satisfy y < ...
A particular case of a conjecture of Erdös and Graham, which concerns the number of integer points o...
AbstractWe prove that the equation x2 − kxy + y2 + x = 0 with k ϵ N+ has an infinite number of posit...
AbstractThe equation of the title is studied for 1 ≤ D ≤ 100. It is shown that for such values of D ...
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