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Some Results Connected with the Class Number Problem in Real Quadratic Fields

✍ Scribed by Aleksander Grytczuk; Jarosław Grytczuk


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
141 KB
Volume
21
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES


The class-number one problem for some re
✍ Stéphane R. Louboutin 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 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.