On the number of representations of positive integers by the quadratic form \(x_1^2 +\dots + x_8^2 +4x_9^2\) (Q2726701)

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scientific article; zbMATH DE number 1621373
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English
On the number of representations of positive integers by the quadratic form \(x_1^2 +\dots + x_8^2 +4x_9^2\)
scientific article; zbMATH DE number 1621373

    Statements

    25 November 2001
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    modular forms
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    theta functions
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    representations of integers
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    quadratic form
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    On the number of representations of positive integers by the quadratic form \(x_1^2 +\dots + x_8^2 +4x_9^2\) (English)
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    Based on earlier papers, the author derives explicit formulas for the number of representations of integers by the quadratic form \(x_1^2+\dots+ x_8^2+ 4x_9^2\).
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