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.
Citation
Jean-Marc Couveignes. "Enumerating number fields." Ann. of Math. (2) 192 (2) 487 - 497, September 2020. https://doi.org/10.4007/annals.2020.192.2.4
Information
Published: September 2020
First available in Project Euclid: 21 December 2021
Digital Object Identifier: 10.4007/annals.2020.192.2.4
Subjects:
Primary:
11H99
,
11R04
,
11R21
,
14N07
Keywords:
geometry of numbers
,
Hermite interpolation
,
number fields
Rights: Copyright © 2020 Department of Mathematics, Princeton University
