Add to ORKGThis paper treats the dίophantίne equation dV2- 2eVW- dW2 = 1, where d and e are positive integers, by methods using the arithmetic of the ring of the gaussian integers. 1. Introduction. W
This paper concerns with the solution of the Diophantine Equations 10x+2y = z2 and 103+3y = z2 in no...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
AbstractWe sharpen work of Bugeaud to show that the equation of the title has, for t = 1 or 2, no so...
This paper treats the diophantine equation dV2 - 2eVW - dW2 = 1, where d and e are positive integers...
THEOREM. The equation of the title has no solutions in positive integers x, y for any value of the p...
In this paper we study the diophantine equations (1) and (2). 2000 Mathematical Subject Classificati...
AbstractLet p, q be primes and p>3. Let further x, y and m be positive integers such that (x,y)=1. I...
We provide explicit formulae for primitive, integral solutions to the Diophantine equation x2+y2=M ,...
he purpose of this study is to determine the existence, types and the cardinality of the solutions f...
A very old class of problems in mathematics is the solving of Diophantine equations. Essentially a D...
Balchandar Reddy Sangam, “On A Diophantine Equation x3-1/y3-1=z2”, International Journal of Applied ...
In this paper we search for solutions in Gaussian integers to some known Diophantine equations.En es...
Let $ [\alpha] $ denote the integer part of the real number $ \alpha $, $ N $ be a sufficiently larg...
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 paper, we use the method of Thue and Siegel, based on explicit Pade approximations t...
This paper concerns with the solution of the Diophantine Equations 10x+2y = z2 and 103+3y = z2 in no...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
AbstractWe sharpen work of Bugeaud to show that the equation of the title has, for t = 1 or 2, no so...
This paper treats the diophantine equation dV2 - 2eVW - dW2 = 1, where d and e are positive integers...
THEOREM. The equation of the title has no solutions in positive integers x, y for any value of the p...
In this paper we study the diophantine equations (1) and (2). 2000 Mathematical Subject Classificati...
AbstractLet p, q be primes and p>3. Let further x, y and m be positive integers such that (x,y)=1. I...
We provide explicit formulae for primitive, integral solutions to the Diophantine equation x2+y2=M ,...
he purpose of this study is to determine the existence, types and the cardinality of the solutions f...
A very old class of problems in mathematics is the solving of Diophantine equations. Essentially a D...
Balchandar Reddy Sangam, “On A Diophantine Equation x3-1/y3-1=z2”, International Journal of Applied ...
In this paper we search for solutions in Gaussian integers to some known Diophantine equations.En es...
Let $ [\alpha] $ denote the integer part of the real number $ \alpha $, $ N $ be a sufficiently larg...
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 paper, we use the method of Thue and Siegel, based on explicit Pade approximations t...
This paper concerns with the solution of the Diophantine Equations 10x+2y = z2 and 103+3y = z2 in no...
AbstractIn this note, we prove that the Diophantine equation 2m+nx2=yn in positive integers x, y, m,...
AbstractWe sharpen work of Bugeaud to show that the equation of the title has, for t = 1 or 2, no so...