Hostname: page-component-8448b6f56d-m8qmq Total loading time: 0 Render date: 2024-04-17T21:48:22.902Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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