Solving Families of Simultaneous Pell Eq
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Michael A Bennett
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Article
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1997
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Elsevier Science
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English
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If a and b are distinct positive integers then a previous result of the author implies that the simultaneous Diophantine equations x 2 &az 2 =y 2 &bz 2 =1 possess at most 3 solutions in positive integers (x, y, z). On the other hand, there are infinite families of distinct integers (a, b) for which