ON P-ADIC CONTINUED FRACTIONS WITH EXTRANEOUS DENOMINATORS: SOME EXPLICIT FINITENESS RESULTS
Résumé
Let K be a number field. We show that, up to allowing a finite set of denominators in the partial quotients, it is possible to define algorithms for P-adic continued fractions satisfying the finiteness property on K for every prime ideal P of sufficiently large norm. This provides, in particular, a new algorithmic approach to the construction of division chains in number fields.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)