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Representation of linear functionals over partially continuous functions

✍ Scribed by L. P. Lisovik


Publisher
Springer US
Year
1992
Tongue
English
Weight
632 KB
Volume
28
Category
Article
ISSN
1573-8337

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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 ∈ 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