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Determination of integer solutions of a system of simultaneous Pell equations

โœ Scribed by A. Yu. Nesterenko

Book ID
110149615
Publisher
SP MAIK Nauka/Interperiodica
Year
2009
Tongue
English
Weight
558 KB
Volume
86
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

Solving Families of Simultaneous Pell Eq
Solving Families of Simultaneous Pell Equations
โœ Michael A Bennett ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

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