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Formula:8042

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Digital Library of Mathematical Functions ID 23.17.E7

λ ⁡ ( τ ) = 16 ⁢ q ⁢ ∏ n = 1 ∞ ( 1 + q 2 ⁢ n 1 + q 2 ⁢ n - 1 ) 8 , modular-Lambda 𝜏 16 𝑞 superscript subscript product 𝑛 1 superscript 1 superscript 𝑞 2 𝑛 1 superscript 𝑞 2 𝑛 1 8 {\displaystyle{\displaystyle\lambda\left(\tau\right)=16q\prod_{n=1}^{\infty}% \left(\frac{1+q^{2n}}{1+q^{2n-1}}\right)^{8},}}


Constraint(s)

Symbols List

  • λ ⁡ ( τ ) modular-Lambda 𝜏 {\displaystyle{\displaystyle\lambda\left(\NVar{\tau}\right)}} : elliptic modular function
  • q 𝑞 {\displaystyle{\displaystyle q}} : nome
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • τ 𝜏 {\displaystyle{\displaystyle\tau}} : complex variable
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This page was last edited on 28 January 2024, at 10:02.
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