Modular sums of squares (Q2783770)
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scientific article; zbMATH DE number 1730744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Modular sums of squares |
scientific article; zbMATH DE number 1730744 |
Statements
1 October 2002
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sums of squares
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quadratic forms
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Modular sums of squares (English)
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The authors compute the number of solutions in \(L_r^s := ([X]/(p(X)^r))^s\) of the equations NEWLINE\[NEWLINE \alpha_1(z_r)t_1^2 + \cdots + \alpha_s(z_r)t_s^2, \quad 1\leq s\leq r, NEWLINE\]NEWLINE where the coefficients \(\alpha_i\) and \(\beta\) are in \(L_r^s\), \(K\) is a finite field and \(p\) is a monic irreducible polynomial in \(K[X]\). They also obtain the corresponding Poincaré series.
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