DLMF:26.10.E16 (Q7899)

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DLMF:26.10.E16
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    Statements

    Defining formula
    p ⁡ ( 𝒟 , n ) ∼ e π ⁢ n / 3 ( 768 ⁢ n 3 ) 1 / 4 , asymptotically-equals restricted-partitions-P 𝒟 𝑛 𝑛 3 superscript 768 superscript 𝑛 3 1 4 {\displaystyle{\displaystyle p\left(\mathcal{D},n\right)\sim\frac{{\mathrm{e}^% {\pi\sqrt{n/3}}}}{(768n^{3})^{1/4}},}}
    0 references
    DLMF id
    DLMF:26.10.E16
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    constraint
    n → ∞ → 𝑛 {\displaystyle{\displaystyle n\to\infty}}
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    Symbols used
    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
     
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