On the System of Diophantine Equations x2-6y2=-5 and x=az2-b

Mignotte and Pethö used the Siegel-Baker method to find all the integral solutions (x,y,z) of the system of Diophantine equations x2-6y2=-5 and x=2z2-1. In this paper, we extend this result and put forward a generalized method which can completely solve the family of systems of Diophantine equations...

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Bibliographic Details
Main Authors: Silan Zhang, Jianhua Chen, Hao Hu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/632617
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