Representations of positive integers by a direct sum of quadratic forms (Q1762649)

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scientific article; zbMATH DE number 2133443
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Representations of positive integers by a direct sum of quadratic forms
scientific article; zbMATH DE number 2133443

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    Representations of positive integers by a direct sum of quadratic forms (English)
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    11 February 2005
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    The paper uses \textit{G. Lomadze}'s results [Georgian Math. J. 4, No. 6, 523--532 (1997; Zbl 0885.11028)] and obtains the formulas for the number of representations by direct sums of some copies of forms \(F_1=x_1^2+3x_1x_2+8x_2^2\) and \(G_1=2x_1^2+3x_1x_2+4x_2^2\).
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    quadratic form
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    representation of numbers
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    direct sum
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    cusp form
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    modular form
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