Continued fractions for hyperquadratic power series over a finite field
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en
Article de revue
Ce document a été publié dans
Finite Fields and Their Applications. 2008, vol. 14, p. 329-350
Elsevier
Résumé en anglais
An irrational power series over a finite field F_q of characteristic p is called hyperquadratic if it satisfies an algebraic equation x=f(x^r) ,where r is a power of p and f is a linear fractional transformation with ...Lire la suite >
An irrational power series over a finite field F_q of characteristic p is called hyperquadratic if it satisfies an algebraic equation x=f(x^r) ,where r is a power of p and f is a linear fractional transformation with polynomial coefficients in F_q[T]. These algebraic power series are analogues of quadratic real numbers. This analogy makes their continued fraction expansions specific.< Réduire
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