Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1 (Q1884119)
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scientific article; zbMATH DE number 2109882
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1 |
scientific article; zbMATH DE number 2109882 |
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Defining polynomial of the first layer of anti-cyclotomic \(\mathbb{Z}_3\)-extension of imaginary quadratic fields of class number 1 (English)
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25 October 2004
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By a straightforward calculation, the authors determine the first layer of the anti-cyclotomic \(\mathbb Z_3\)-extensions of the complex quadratic number fields with class number one.
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Iwasawa theory
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anti-cyclotomic \(\mathbb Z_3\)-extensions
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Kummer extension
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