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Rational functions with partial quotients of small degree in their continued fraction expansion

โœ Scribed by Harald Niederreiter


Publisher
Springer Vienna
Year
1987
Tongue
English
Weight
751 KB
Volume
103
Category
Article
ISSN
0026-9255

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Rational functions over finite fields ha
โœ Christian Friesen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

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