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DLMF:26.9.E1 - MaRDI portal

DLMF:26.9.E1 (Q8565)

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DLMF:26.9.E1
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    Statements

    DLMF defining formula
    p k ⁡ ( n ) = p ⁡ ( n ) , partition-function-at-most 𝑘 𝑛 partition-function 𝑛 {\displaystyle{\displaystyle p_{k}\left(n\right)=p\left(n\right),}}
    0 references
    constraint
    k ≥ n 𝑘 𝑛 {\displaystyle{\displaystyle k\geq n}}
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    Symbols used
    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.m5adec
    0 references
    Q12191
    DLMF defining formula
    p k ⁡ ( n ) partition-function-at-most 𝑘 𝑛 {\displaystyle{\displaystyle p_{\NVar{k}}\left(\NVar{n}\right)}}
    xml-id
    C26.S9.SS1.p1.m4adec
    0 references
    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1dec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1dec
    0 references

    Identifiers

     
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