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DLMF:26.12.E20

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Formula:8630
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MaRDI QIDQ8630

  • Label: DLMF:26.12.E20


Digital Library of Mathematical Functions ID 26.12.E20

∑ 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}},}}


Constraint(s)

Symbols List

  • ℕ {\displaystyle{\displaystyle\mathbb{N}}} :
  • ⊆ {\displaystyle{\displaystyle\subseteq}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • π 𝜋 {\displaystyle{\displaystyle\pi}} : plane partition
  • q 𝑞 {\displaystyle{\displaystyle q}} : parameter
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This page was last edited on 28 January 2024, at 10:30.
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