Cusp forms in \(S_4(\Gamma_0(47))\) and the number of representations of positive integers by some direct sum of binary quadratic forms with discriminant \(-47\) (Q417250)
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scientific article; zbMATH DE number 6034277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cusp forms in \(S_4(\Gamma_0(47))\) and the number of representations of positive integers by some direct sum of binary quadratic forms with discriminant \(-47\) |
scientific article; zbMATH DE number 6034277 |
Statements
Cusp forms in \(S_4(\Gamma_0(47))\) and the number of representations of positive integers by some direct sum of binary quadratic forms with discriminant \(-47\) (English)
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14 May 2012
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Summary: A basis of \(S_4(\Gamma_0(47))\) is given and the formulas for the number of representations of positive integers by some direct sum of the quadratic forms \(x^2_1 + x_1x_2 + 12x^2_2\), \(2x^2_1 \pm x_1x_2 + 6x^2_2\), \(3x^2_1 \pm x_1x_2 + 4x^2_2\) are determined.
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