Fadwa S. Abu Muriefah

Mathematics Department Girls College Of Education P.O. Box 60561 Riyadh 11555, Saudi Arabia

e-mail: abumuriefah@yahoo.com

Yann Bugeaud

U. F. R. de mathématiques Université Louis Pasteur 7, rue René Descartes 67084 Strasbourg Cedex, France

e-mail: bugeaud@math.u-strasbg.fr

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

Key words and phrases. Diophantine equations, Baker's method.

2000 Mathematics Subject Classification. Primary: 11D61.

RESUMEN. Nosotros hacemos una revisión acerca de resultados recientes sobre la ecuación Diofántica x2 + c = yn.

Acknowledgements. We are pleased to thank the referee for his very careful reading of a first version of our text.

TEXTO COMPLETO EN PDF

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Recibido en octubre de 2005. Aceptado en febrero de 2006