The depth of continued fraction expansion for some classes of rational functions

DOI10.1142/S1793557121500339zbMath1484.11010OpenAlexW3003933588MaRDI QIDQ4985469

Vichian Laohakosol, Y. Tongron, Narakorn Rompurk Kanasri

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500339

zbMATH Keywords

upper boundrational functionpolynomialcontinued fractionEuclidean algorithm

Mathematics Subject Classification ID

Continued fractions (11A55) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

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• Length of the powers of a rational fraction
• Remarks and problems on finite and periodic continued fractions
• The length of the continued fraction expansion for a class of rational functions in
• The exact length of the Euclidean algorithm in [ X ]
• On continued fractions and diophantine approximation in power series fields
• On the length of rational continued fractions over F_{q}(X)
• Sur les fractions continues limitées
• Sur certaines fractions continues finies

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