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On the definitions of some complexity classes of real numbers

✍ Scribed by Ker-I Ko

Publisher
Springer
Year
1983
Tongue
English
Weight
941 KB
Volume
16
Category
Article
ISSN
1433-0490

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πŸ“œ SIMILAR VOLUMES

The class-number one problem for some re
The class-number one problem for some real cubic number fields with negative discriminants
✍ StΓ©phane R. Louboutin πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 136 KB

We prove that there are effectively only finitely many real cubic number fields of a given class number with negative discriminants and ring of algebraic integers generated by an algebraic unit. As an example, we then determine all these cubic number fields of class number one. There are 42 of them.