Enumerating number fields

Pages 487-497 from Volume 192 (2020), Issue 2 by Jean-Marc Couveignes

Abstract

We construct small models of number fields and deduce a better bound for the number of number fields of given degree and bounded discriminant.

Keywords
, ,
Mathematical Subject Classification

Primary 2000: , , ,

DOI
https://doi.org/10.4007/annals.2020.192.2.4
MR
4151082
Milestones
Received: 9 August 2019
Revised: 10 August 2020
Accepted: 10 August 2020
Published online: 9 September 2020

Authors

Jean-Marc Couveignes

Université Bordeaux, CNRS, INRIA, Bordeaux-INP, IMB, UMR 5251, F-33400 Talence, France