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A kaleidoscope of solutions for a Diophantine system

Published online by Cambridge University Press:  23 January 2015

Juan Pla
Juan Pla*
Affiliation:
315 rue de Belleville, 75019 Paris, France
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A classical exercise in recreational mathematics is to find Pythagorean triples such that the legs are consecutive integers. It is equivalent to solve the Pell equation with k = 2. In this case it provides all the solutions (see [1] for details). But to obtain all the solutions of a Diophantine system in one stroke is rather exceptional. Actually this note will show that the analogous problem of finding four integers A, B, C and D such that

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Articles
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The Mathematical Gazette , Volume 94 , Issue 529 , March 2010 , pp. 42 - 50
Copyright
Copyright © The Mathematical Association 2010

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References

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