Thue's theorem and the diophantine equation $x^2-Dy^2=\pm N$

THE DIOPHANTINE EQUATION x2+2k =yn, II

New results regarding the full solution of the diophantine equationx2+2k=yn in positive integers are obtained. These support a previous conjecture, without providing a complete proof.

ON THE DIOPHANTINE EQUATION x2+p2k+1 = 4yn

THUE ’ S THEOREM AND THE DIOPHANTINE EQUATION x 2 − Dy

A constructive version of a theorem of Thue is used to provide representations of certain integers as x2 −Dy2, where D = 2, 3, 5, 6, 7.

Thue ’ s theorem and the diophantine equation x 2 − Dy 2 = ± N KEITH MATTHEWS

A constructive version of a theorem of Thue is used to provide representations of certain integers as x2 −Dy2, where D = 2, 3, 5, 6, 7.

THUE ’ S THEOREM AND THE DIOPHANTINE EQUATION x 2 −

A constructive version of a theorem of Thue is used to provide representations of certain integers as x2 −Dy2, where D = 2, 3, 5, 6, 7.