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Solving families of simultaneous Pell equations

โœ Scribed by Bennett.


Book ID
127399584
Tongue
English
Weight
62 KB
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES


Solving Families of Simultaneous Pell Eq
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

Simultaneous Pell Equations
โœ D.W. Masser; J.H. Rickert ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 307 KB

It is proved that if a and b are different non-zero rational integers then the ``simultaneous Pell equations'' have at most 132 solutions in rational integers x, y, z.

Simultaneous Pell equations
โœ Anglin, W. S. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› American Mathematical Society ๐ŸŒ English โš– 222 KB