ON A QUARTIC EQUATION AND TWO FAMILIES OF HYPERQUADRATIC CONTINUED FRACTIONS IN POWER SERIES FIELDS (modified version)
Langue
en
Document de travail - Pré-publication
Résumé en anglais
We discuss the continued fraction expansion, in the field of power series over a finite prime field, of characteristic p>3, of the solution of a particular quartic equation. This allows us to describe two very large ...Lire la suite >
We discuss the continued fraction expansion, in the field of power series over a finite prime field, of characteristic p>3, of the solution of a particular quartic equation. This allows us to describe two very large families of hyperquadratic continued fractions. Finally, we compute the irrationality measure for the solution of this quartic equation and we obtain two different values according to the remainder of p in the division by 3.< Réduire
Origine
Importé de halUnités de recherche