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On a New Continued Fraction Expansion with Non-Decreasing Partial Quotients

โœ Scribed by Cor Kraaikamp; Jun Wu


Publisher
Springer Vienna
Year
2004
Tongue
English
Weight
213 KB
Volume
143
Category
Article
ISSN
0026-9255

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Let F be a finite field with q elements and let g be a polynomial in F[X] with positive degree less than or equal to q/2. We prove that there exists a polynomial f โˆˆ F[X], coprime to g and of degree less than g, such that all of the partial quotients in the continued fraction of g/f have degree 1. T