DOIAbstract
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} and their connections with ideal theory, continued fractions and Jacobi symbols
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} and their connections with ideal theory, continued fractions and Jacobi symbols
The binary quadratic Diophantine equation represented by is analyzed for its non-zero distinct inte...
Abstract: We consider the global generalization of the continued fraction giving the best ...
This paper concerns with the problem of obtaining solutions of some linear Diophantine equations
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} ...
AbstractWe present elementary necessary and sufficient conditions for the solvability of the Diophan...
We consider the equation (1) ax 2 by2 c 0, with a,b * and c *. It is a generalization of the Pell’s...
Includes bibliographical references.The Diophantine equation, x² - Dy² = N, where D and N are known ...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
THEOREM. The equation of the title has no solutions in positive integers x, y for any value of the p...
The binary quadratic Diophantine equation represented by the positive pellian is analyzed for i...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
Using the theory of Pellian equations, we show that the Diophantine equations have infi...
In this work we look at an approach to solving Pell’s equation us-ing continued fractions and fundam...
AbstractWe prove that the Diophantine equation x2−kxy+y2+lx=0,l∈{1,2,4} has an infinite number of po...
Includes bibliographical references (page 33)An equation which contains two or more variables and sa...
The binary quadratic Diophantine equation represented by is analyzed for its non-zero distinct inte...
Abstract: We consider the global generalization of the continued fraction giving the best ...
This paper concerns with the problem of obtaining solutions of some linear Diophantine equations
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} ...
AbstractWe present elementary necessary and sufficient conditions for the solvability of the Diophan...
We consider the equation (1) ax 2 by2 c 0, with a,b * and c *. It is a generalization of the Pell’s...
Includes bibliographical references.The Diophantine equation, x² - Dy² = N, where D and N are known ...
In the first chapter we have given some definations, theorems, lemmas on Elementary Number Theory. T...
THEOREM. The equation of the title has no solutions in positive integers x, y for any value of the p...
The binary quadratic Diophantine equation represented by the positive pellian is analyzed for i...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
Using the theory of Pellian equations, we show that the Diophantine equations have infi...
In this work we look at an approach to solving Pell’s equation us-ing continued fractions and fundam...
AbstractWe prove that the Diophantine equation x2−kxy+y2+lx=0,l∈{1,2,4} has an infinite number of po...
Includes bibliographical references (page 33)An equation which contains two or more variables and sa...
The binary quadratic Diophantine equation represented by is analyzed for its non-zero distinct inte...
Abstract: We consider the global generalization of the continued fraction giving the best ...
This paper concerns with the problem of obtaining solutions of some linear Diophantine equations
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