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On the convergents to a recurring continued fraction, with application to finding integral solutions of the equation

Published online by Cambridge University Press:  20 January 2009

Alexander Holm
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1. Let

where D and E are integers, and C a positive integer not a perfect square, k being the number of partial quotients in the non-recurring part of the continued fraction, and c the number in the cycle,

and let

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 21 , February 1902 , pp. 163 - 180
Copyright
Copyright © Edinburgh Mathematical Society 1902