DLMF:27.14.E7 (Q8106)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:27.14.E7
No description defined

    Statements

    Defining formula
    n ⁢ p ⁡ ( n ) = ∑ k = 1 n σ 1 ⁡ ( k ) ⁢ p ⁡ ( n - k ) , 𝑛 partition-function 𝑛 superscript subscript 𝑘 1 𝑛 divisor-sigma 1 𝑘 partition-function 𝑛 𝑘 {\displaystyle{\displaystyle np\left(n\right)=\sum_{k=1}^{n}\sigma_{1}\left(k% \right)p\left(n-k\right),}}
    0 references
    DLMF id
    DLMF:27.14.E7
    0 references
    Symbols used
    sum of powers of divisors of $$n$$
    Defining formula
    σ α ⁡ ( n ) divisor-sigma 𝛼 𝑛 {\displaystyle{\displaystyle\sigma_{\NVar{\alpha}}\left(\NVar{n}\right)}}
    xml-id
    C27.S2.E10.m2adec
    0 references
    Q12187
    Defining formula
    p ⁡ ( n ) partition-function 𝑛 {\displaystyle{\displaystyle p\left(\NVar{n}\right)}}
    xml-id
    C26.S2.Px4.p2.m5abdec
    0 references
    Q12238
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C27.S1.XMD2.m1cdec
    0 references
    Q12234
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1cdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8106&oldid=47849"