Computation of Euclidean minima in totally definite quaternion fields
Langue
en
Article de revue
Ce document a été publié dans
International Journal of Number Theory. 2019, vol. 15, n° 1, p. 43–66
World Scientific Publishing
Résumé en anglais
We describe an algorithm that allows to compute the Euclidean minimum (for the norm form) of any order of a totally definite quaternion field over a number field K of degree strictly greater than 1. Our approach is a ...Lire la suite >
Mots clés en anglais
Quaternion algebras
Norm-Euclidean minimum
Algorithmic number theory
Norm-Euclidean orders