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An elementary proof of an identity of Lorenz (Q1279860)

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scientific article; zbMATH DE number 1251333
Language Label Description Also known as
English
An elementary proof of an identity of Lorenz
scientific article; zbMATH DE number 1251333

    Statements

    title
    An elementary proof of an identity of Lorenz (English)
    0 references
    author
    Jean Varouchas
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    publication date
    2 August 1999
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    review text
    The Danish mathematician L. Lorenz proved in 1871 an identity which gave the number of representations of a positive integer by the quadratic forms \(x^2+2y^2\). This identity is proved now in an elementary way using Jacobi's triple product identity.
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    zbMATH Keywords
    binary quadratic forms
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    number of representations
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    Jacobi's triple product identity
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    Identifiers

    Mathematics Subject Classification ID
    11E25
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    33D10
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    11B65
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    zbMATH DE Number
    1251333
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    OpenAlex ID
    W2914949070
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