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On some representations of the real number field

✍ Scribed by A. S. Morozov

Publisher
Springer US
Year
2011
Tongue
English
Weight
164 KB
Volume
50
Category
Article
ISSN
0002-5232

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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.