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On the Diophantine equation

Published online by Cambridge University Press:  01 August 2016

Clotilde Luz Clifton-Everest
Clotilde Luz Clifton-Everest*
Affiliation:
186 Gilbert Road, Cambridge CB4 3PB, e-mail: luzeverest@hotmail.com
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Extract

In this article we discuss two main theorems relating to two different decompositions of the fraction r/n as a sum of three fractions of numerator one. Each decomposition is associated with three positive integers a, b, m such that m is a divisor of an + b. Through this discussion we devise a procedure to find values of a, b and m for a given n.

Type
Articles
Information
The Mathematical Gazette , Volume 91 , Issue 522 , November 2007 , pp. 481 - 492
Copyright
Copyright © The Mathematical Association 2007

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References

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