The binary quadratic Diophantine equation represented by the positive pellian is analyzed for its non-zero distinct solutions. A few interesting relations among the solutions are given. Further, employing the solutions of the above hyperbola, we have obtained solutions of other choices of hyperbolas, parabolas and Pythagorean triangle
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} ...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pe...
The binary quadratic Diophantine equation represented by the negative pellian is analyzed for its n...
The binary quadratic equation represented by the positive pellian is analysed for its distinct inte...
The binary quadratic Diophantine equation represented by is analyzed for its non-zero distinct inte...
The binary quadratic equation represented by the positive pellian is analyzed for its distinct integ...
The binary quadratic equation represented by x^2=8y^2-4 the negative pellian is analyzed for its dis...
Non-homogeneous binary quadratic equation representing hyperbola given by is analyzed for its non-z...
This paper aims at obtaining non-zero distinct integer solutions to the hyperbola represented by the...
Non-homogeneous binary quadratic equation representing hyperbola given by 7x2-5y2=8 is analyzed for...
Let d be a positive integer which is not a perfect square. In this paper, by using continued fractio...
Non-homogeneous binary quadratic equation representing hyperbola given by is analyzed for its non-z...
If a and b are distinct positive integers then a previous result of the author implies that the simu...
In the diploma work the square Diophantine equations are presented, attached to Pythagoras' Theorem ...
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} ...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pe...
The binary quadratic Diophantine equation represented by the negative pellian is analyzed for its n...
The binary quadratic equation represented by the positive pellian is analysed for its distinct inte...
The binary quadratic Diophantine equation represented by is analyzed for its non-zero distinct inte...
The binary quadratic equation represented by the positive pellian is analyzed for its distinct integ...
The binary quadratic equation represented by x^2=8y^2-4 the negative pellian is analyzed for its dis...
Non-homogeneous binary quadratic equation representing hyperbola given by is analyzed for its non-z...
This paper aims at obtaining non-zero distinct integer solutions to the hyperbola represented by the...
Non-homogeneous binary quadratic equation representing hyperbola given by 7x2-5y2=8 is analyzed for...
Let d be a positive integer which is not a perfect square. In this paper, by using continued fractio...
Non-homogeneous binary quadratic equation representing hyperbola given by is analyzed for its non-z...
If a and b are distinct positive integers then a previous result of the author implies that the simu...
In the diploma work the square Diophantine equations are presented, attached to Pythagoras' Theorem ...
AbstractWe investigate the solutions of diophantine equations of the form dx2−d⁎y2=±t for t∈{1,2,4} ...
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader ...
Let the smallest non-trivial solution of Pell equation, x^2-Dy^2=1, be denoted by (x_1, y_1). The Pe...
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