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The length of the continued fraction expansion for a class of rational functions in

Published online by Cambridge University Press:  20 January 2009

Arnold Knopfmacher
Arnold Knopfmacher
Affiliation:
Department of Computational and Applied MathematicsUniversity of the WitwatersrandJohannesburg, P O Wits 2050, South Africa
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Abstract

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A study is made of the length L(h, k) of the continued fraction algorithm for h/k where h and k are co-prime polynomials in a finite field. In addition we investigate the sum of the degrees of the partial quotients in this expansion for h/k, h, k in . The above continued fraction is determined by means of the Euclidean algorithm for the polynomials h, k in .

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 1 , February 1991 , pp. 7 - 17
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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