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DLMF:27.14.E8 - MaRDI portal

DLMF:27.14.E8 (Q8800)

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DLMF:27.14.E8
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    Statements

    DLMF defining formula
    p ⁡ ( n ) ∼ e K ⁢ n / ( 4 ⁢ n ⁢ 3 ) , asymptotically-equals partition-function 𝑛 superscript 𝑒 𝐾 𝑛 4 𝑛 3 {\displaystyle{\displaystyle p\left(n\right)\sim e^{K\sqrt{n}}/(4n\sqrt{3}),}}
    0 references
    Symbols used
    asymptotic equality
    DLMF defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
    0 references
    total number of partitions of n
    DLMF defining formula
    p ⁡ ( n ) partition-function 𝑛 {\displaystyle{\displaystyle p\left(\NVar{n}\right)}}
    xml-id
    C26.S2.Px4.p2.m5acdec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1ddec
    0 references

    Identifiers

     
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