On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields (Q2119386)
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scientific article; zbMATH DE number 7499450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields |
scientific article; zbMATH DE number 7499450 |
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On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields (English)
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29 March 2022
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Summary: Using a recent breakthrough of Smith [22], we prove that \(l^\infty\)-class groups of cyclic degree \(l\) fields have the distribution conjectured by Gerth under GRH.
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arithmetic statistics
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class groups
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