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Formula:7559

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Digital Library of Mathematical Functions ID 21.2.E8

θ ⁡ ( z | Ω ) = θ 3 ⁡ ( π ⁢ z | Ω ) , Riemann-theta 𝑧 Ω Jacobi-theta-tau 3 𝜋 𝑧 Ω {\displaystyle{\displaystyle\theta\left(z\middle|\Omega\right)=\theta_{3}\left% (\pi z\middle|\Omega\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)}} :
  • θ ⁡ ( 𝐳 | 𝛀 ) Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}} : Riemann theta function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
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This page was last edited on 28 January 2024, at 10:02.
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