Enumerating number fields

• 成果类型: Article
• 署名作者: Couveignes, Jean-Marc
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.192.2.4
• 发表日期: 2020
• 页码: 487-497
• 关键词: density; discriminants; rings

摘要

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