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Explicit representations of classes of some binary quadratic forms of discriminants \(4q^2+1\) - MaRDI portal

Explicit representations of classes of some binary quadratic forms of discriminants \(4q^2+1\) (Q1293933)

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scientific article; zbMATH DE number 1310575
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English
Explicit representations of classes of some binary quadratic forms of discriminants \(4q^2+1\)
scientific article; zbMATH DE number 1310575

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    Explicit representations of classes of some binary quadratic forms of discriminants \(4q^2+1\) (English)
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    29 June 1999
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    Cycles of indefinite binary quadratic forms are explicitly given in several cases for discriminant \(4q^2+1\). These results are applied to get some informations about the ideal class group and the class number of \(\mathbb{Q} (\sqrt{4q^2+1})\).
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    binary quadratic forms
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    quadratic fields
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    class number
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