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Formula:7510

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Digital Library of Mathematical Functions ID 20.7.E20

B ≡ B ⁢ ( τ ) = 1 / ( θ 3 ⁡ ( 0 | τ ) ⁢ θ 4 ⁡ ( 0 | τ ) ⁢ θ 3 ⁡ ( 1 4 ⁢ π | τ ) ) , equal-by definition 𝐵 𝐵 𝜏 1 Jacobi-theta-tau 3 0 𝜏 Jacobi-theta-tau 4 0 𝜏 Jacobi-theta-tau 3 1 4 𝜋 𝜏 {\displaystyle{\displaystyle B\equiv B(\tau)=\ifrac{1}{\left(\theta_{3}\left(0% \middle|\tau\right)\theta_{4}\left(0\middle|\tau\right)\theta_{3}\left(\tfrac{% 1}{4}\pi\middle|\tau\right)\right)},}}


Constraint(s)

Symbols List

  • θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}} :
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ≡ equal-by definition {\displaystyle{\displaystyle\equiv}} :
  • τ 𝜏 {\displaystyle{\displaystyle\tau}} : lattice parameter
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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