A quadratic form \(\text{tr}(AX^ 2)\) and its application (Q1372970)
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scientific article; zbMATH DE number 1083217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quadratic form \(\text{tr}(AX^ 2)\) and its application |
scientific article; zbMATH DE number 1083217 |
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A quadratic form \(\text{tr}(AX^ 2)\) and its application (English)
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23 November 1997
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Trace forms \(\text{tr}(AX^2)\) on the matrix algebra \(M_n(F_q)\) over a finite field \(F_q\) (\(q\) odd) are classified for \(n = 2,3\). This classification and the Gauss sums are used to compute the number of solutions of the equation \(X_1^2 + \ldots + X_m^2 = B\) in \(M_2(F_q)\).
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trace form
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matrix algebra
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Gauss sum
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quadratic form
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0.8680439
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