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A Lower Bound for the Class Number of Certain Cubic Number Fields

✍ Scribed by Günter Lettl


Book ID
118174210
Publisher
American Mathematical Society
Year
1986
Tongue
English
Weight
211 KB
Volume
46
Category
Article
ISSN
0025-5718

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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.