Sum of three squares and class numbers of imaginary quadratic fields (Q719918)
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scientific article; zbMATH DE number 5957830
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sum of three squares and class numbers of imaginary quadratic fields |
scientific article; zbMATH DE number 5957830 |
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Sum of three squares and class numbers of imaginary quadratic fields (English)
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12 October 2011
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The author proves that, for given positive integers \(k\) and suitably chosen integers \(a\) and \(M\), there exist infinitely many positive squarefree integers \(d\) such that \(h(-d)\) is divisible by \(k\) with \(d \equiv a \bmod M\). Using a result of Gauss, this divisibility result is then transferred to the number of representations of integers as sums of three squares.
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complex quadratic number field
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class number
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