The number of pairs of quadratic forms over \(\mathbb{F}_q\) (\(q\) odd) (Q1267003)
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scientific article; zbMATH DE number 1206732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of pairs of quadratic forms over \(\mathbb{F}_q\) (\(q\) odd) |
scientific article; zbMATH DE number 1206732 |
Statements
The number of pairs of quadratic forms over \(\mathbb{F}_q\) (\(q\) odd) (English)
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31 October 1999
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The number of equivalence classes of pairs of quadratic forms in dimension \(n\) over a finite field of \(q\) elements, where \(q\) is odd, is shown to be equal to the coefficient of \(t^n\) in the expansion of \[ \prod_{n\geq 1}{(1-qt^{2n}) (1+t^n)^2\over(1-qt^n)^2 (1-t^n)}. \]
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number of equivalence classes
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finite field
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pairs of quadratic forms
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0.7880358695983887
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0.7864296436309814
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0.7789667248725891
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0.7750188112258911
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