Solution of the class number two problem for cyclotomic fields (Q1846455)
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scientific article; zbMATH DE number 3451949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of the class number two problem for cyclotomic fields |
scientific article; zbMATH DE number 3451949 |
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Solution of the class number two problem for cyclotomic fields (English)
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1975
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It is shown that the only cyclotomic fields of the form \(\mathbb Q(e^{2\pi i/m})\) which have class number two are \(\mathbb Q(e^{2\pi i/39})\) and \(\mathbb Q(e^{2\pi i/56})\). Methods are the same as used in solving the class number one problem [the author and \textit{H. L. Montgomery}, J. Reine Angew. Math. 286/287, 248--256 (1976; Zbl 0335.12013)].
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