Euclidean minima of totally real fields : Algorithmic determination. - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Mathematics of Computation Year : 2005

Euclidean minima of totally real fields : Algorithmic determination.

Abstract

This article deals with the determination of the Euclidean minimum $ M(K)$ of a totally real number field $ K$ of degree $ n\geq 2$, using techniques from the geometry of numbers. Our improvements of existing algorithms allow us to compute Euclidean minima for fields of degree $ 2$ to $ 8$ and small discriminants, most of which were previously unknown. Tables are given at the end of this paper.

Dates and versions

inria-00000904 , version 1 (05-12-2005)

Identifiers

Cite

Jean-Paul Cerri. Euclidean minima of totally real fields : Algorithmic determination.. Mathematics of Computation, 2005, 76, pp.1547-1575. ⟨10.1090/S0025-5718-07-01932-1⟩. ⟨inria-00000904⟩
84 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More