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On a simple set of integers

Published online by Cambridge University Press:  01 August 2016

Juan Pla
Juan Pla*
Affiliation:
315 rue de Belleville, 75019 Paris, France
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Extract

During an investigation on some Diophantine systems, we were led to consider the following set

where x, y, a, b, c are indeterminate integers.

From elementary algebra we know that, if they exist, x and y are the roots of the quadratic equation

Type
Articles
Information
The Mathematical Gazette , Volume 93 , Issue 527 , July 2009 , pp. 200 - 212
Copyright
Copyright © The Mathematical Association 2009

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