THE DIOPHANTINE EQUATION x ² + c = y n: a brief overview

vol.40 issue1

REDUCTION TO NORMAL FORM OF A SELF-ADJOINT LINEAR TRANSFORMATION WITH RESPECT TO A PSEUDO-UNITARY OR A PSEUDO-EUCLIDEAN INNER PRODUCT

THE ANALYTIC FIXED POINT FUNCTION II

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

ABU MURIEFAH, Fadwa S. and BUGEAUD, Yann. THE DIOPHANTINE EQUATION x ² + c = y ⁿ: a brief overview. Rev.colomb.mat. [online]. 2006, vol.40, n.1, pp.31-37. ISSN 0034-7426.

We give a survey on recent results on the Diophantine equation x² + c = yⁿ.

Keywords : Diophantine equations; Baker's method.

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