DLMF:26.12.E20 (Q7937)

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DLMF:26.12.E20
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    Statements

    Defining formula
    ∑ π ⊆ ℕ × ℕ × ℕ q | π | = ∏ k = 1 ∞ 1 ( 1 - q k ) k , subscript 𝜋 superscript 𝑞 𝜋 superscript subscript product 𝑘 1 1 superscript 1 superscript 𝑞 𝑘 𝑘 {\displaystyle{\displaystyle\sum_{\pi\subseteq\mathbb{N}\times\mathbb{N}\times% \mathbb{N}}q^{|\pi|}=\prod_{k=1}^{\infty}\frac{1}{(1-q^{k})^{k}},}}
    0 references
    DLMF id
    DLMF:26.12.E20
    0 references
    Symbols used
    Q12208
    Defining formula
    ℕ {\displaystyle{\displaystyle\mathbb{N}}}
    xml-id
    introduction.Sx4.p2.t1.r11.m2adec
    0 references
    Q12209
    Defining formula
    ⊆ {\displaystyle{\displaystyle\subseteq}}
    xml-id
    introduction.Sx4.p2.t1.r3.m2adec
    0 references
     
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