DLMF:21.3.E3 (Q6871)

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DLMF:21.3.E3
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    test
    θ ⁡ ( 𝐳 + 𝐦 1 + 𝛀 ⁢ 𝐦 2 | 𝛀 ) = e - 2 ⁢ π ⁢ i ⁢ ( 1 2 ⁢ 𝐦 2 ⋅ 𝛀 ⋅ 𝐦 2 + 𝐦 2 ⋅ 𝐳 ) ⁢ θ ⁡ ( 𝐳 | 𝛀 ) , Riemann-theta 𝐳 subscript 𝐦 1 𝛀 subscript 𝐦 2 𝛀 superscript 𝑒 2 𝜋 𝑖 ⋅ 1 2 subscript 𝐦 2 𝛀 subscript 𝐦 2 ⋅ subscript 𝐦 2 𝐳 Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(\mathbf{z}+\mathbf{m}_{1}+\boldsymbol{% {\Omega}}\mathbf{m}_{2}\middle|\boldsymbol{{\Omega}}\right)=e^{-2\pi i\left(% \frac{1}{2}\mathbf{m}_{2}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{m}_{2}+\mathbf% {m}_{2}\cdot\mathbf{z}\right)}\theta\left(\mathbf{z}\middle|\boldsymbol{{% \Omega}}\right),}}
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    DLMF:21.3.E3
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