The class-number one problem for some re
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Stéphane R. Louboutin
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Article
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2006
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Elsevier Science
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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.