Enumerating number fields

2019/07/31 by Couveignes, Jean-Marc
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1907.13617

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.

Related

• Improved bounds on number fields of small degree
• Upper bounds on number fields of given degree and bounded discriminant
• Enumeration of totally real number fields of bounded root discriminant
• An improvement on Schmidt's bound on the number of number fields of bounded discriminant and small degree
• The number of extensions of a number field with fixed degree and bounded discriminant