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Formula:7496

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Digital Library of Mathematical Functions ID 20.7.E6

θ 4 2 ⁡ ( 0 , q ) ⁢ θ 1 ⁡ ( w + z , q ) ⁢ θ 1 ⁡ ( w - z , q ) = θ 3 2 ⁡ ( w , q ) ⁢ θ 2 2 ⁡ ( z , q ) - θ 2 2 ⁡ ( w , q ) ⁢ θ 3 2 ⁡ ( z , q ) , Jacobi-theta 4 2 0 𝑞 Jacobi-theta 1 𝑤 𝑧 𝑞 Jacobi-theta 1 𝑤 𝑧 𝑞 Jacobi-theta 3 2 𝑤 𝑞 Jacobi-theta 2 2 𝑧 𝑞 Jacobi-theta 2 2 𝑤 𝑞 Jacobi-theta 3 2 𝑧 𝑞 {\displaystyle{\displaystyle{\theta_{4}^{2}}\left(0,q\right)\theta_{1}\left(w+% z,q\right)\theta_{1}\left(w-z,q\right)={\theta_{3}^{2}}\left(w,q\right){\theta% _{2}^{2}}\left(z,q\right)-{\theta_{2}^{2}}\left(w,q\right){\theta_{3}^{2}}% \left(z,q\right),}}


Constraint(s)

Symbols List

  • θ j ⁡ ( z , q ) Jacobi-theta 𝑗 𝑧 𝑞 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex
  • q 𝑞 {\displaystyle{\displaystyle q}} : nome
  •  Edit this on Wikidata

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