DOIAbstract
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integers, of n2=x2+y2+2z2, n2=x2+2y2+2z2, n2=x2+y2+3z2 and n2=x2+3y2+3z2. Some conjectures are listed at the end of the paper
AbstractFor any positive integer n we state and prove formulas for the number of solutions, in integers, of n2=x2+y2+2z2, n2=x2+2y2+2z2, n2=x2+y2+3z2 and n2=x2+3y2+3z2. Some conjectures are listed at the end of the paper
We consider the equation (1) ax 2 by2 c 0, with a,b * and c *. It is a generalization of the Pell’s...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
Let us denote by Q(N,[lambda]) the number of solutions of the diophantine equation $(A^2+B^2=C^2+C)$...
[[abstract]]In this paper, we discuss the positive integers solutions of the Diophantine equations x...
AbstractWe prove that the Diophantine equation x2−kxy+y2+lx=0,l∈{1,2,4} has an infinite number of po...
In this paper we study in natural numbers some diophantine equa-tion of ax + by = z2 type. 2000 Math...
AbstractWe prove that the equation x2 − kxy + y2 + x = 0 with k ϵ N+ has an infinite number of posit...
AbstractThe equation by2 + pn = x3 is regarded as a diophantine equation in the integer variables x,...
Abstract. We prove that, for positive integers a, b, c and d with c 6 = d, a> 1, b> 1, the num...
This paper concerns with the solution of the Diophantine Equations 10x+2y = z2 and 103+3y = z2 in no...
Abstract. In this paper, we prove a weaker form of a conjecture of Mohanty and Ramasamy [6] concerni...
In this short note we study the existence and number of solutions in the set of integers (Z) and in ...
In this short note we study the existence and number of solutions in the set of integers (Z) and in ...
Consider the system x 2 − ay 2 = b, P (x, y) = z ...
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine e...
We consider the equation (1) ax 2 by2 c 0, with a,b * and c *. It is a generalization of the Pell’s...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
Let us denote by Q(N,[lambda]) the number of solutions of the diophantine equation $(A^2+B^2=C^2+C)$...
[[abstract]]In this paper, we discuss the positive integers solutions of the Diophantine equations x...
AbstractWe prove that the Diophantine equation x2−kxy+y2+lx=0,l∈{1,2,4} has an infinite number of po...
In this paper we study in natural numbers some diophantine equa-tion of ax + by = z2 type. 2000 Math...
AbstractWe prove that the equation x2 − kxy + y2 + x = 0 with k ϵ N+ has an infinite number of posit...
AbstractThe equation by2 + pn = x3 is regarded as a diophantine equation in the integer variables x,...
Abstract. We prove that, for positive integers a, b, c and d with c 6 = d, a> 1, b> 1, the num...
This paper concerns with the solution of the Diophantine Equations 10x+2y = z2 and 103+3y = z2 in no...
Abstract. In this paper, we prove a weaker form of a conjecture of Mohanty and Ramasamy [6] concerni...
In this short note we study the existence and number of solutions in the set of integers (Z) and in ...
In this short note we study the existence and number of solutions in the set of integers (Z) and in ...
Consider the system x 2 − ay 2 = b, P (x, y) = z ...
Let t >= 2 be an integer. In this work, we consider the number of integer solutions of Diophantine e...
We consider the equation (1) ax 2 by2 c 0, with a,b * and c *. It is a generalization of the Pell’s...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
Let us denote by Q(N,[lambda]) the number of solutions of the diophantine equation $(A^2+B^2=C^2+C)$...
Add to ORKG