DLMF:21.5.E7 (Q6884)

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DLMF:21.5.E7
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    Statements

    Defining formula
    𝚪 = [ 𝐈 g 𝐁 𝟎 g 𝐈 g ] ⇒ θ ⁡ ( 𝐳 | 𝛀 + 𝐁 ) = θ ⁡ ( 𝐳 + 1 2 ⁢ diag ⁡ 𝐁 | 𝛀 ) . 𝚪 subscript 𝐈 𝑔 𝐁 subscript 0 𝑔 subscript 𝐈 𝑔 ⇒ Riemann-theta 𝐳 𝛀 𝐁 Riemann-theta 𝐳 1 2 diagonal 𝐁 𝛀 {\displaystyle{\displaystyle\boldsymbol{{\Gamma}}=\begin{bmatrix}\mathbf{I}_{g% }&\mathbf{B}\\ \boldsymbol{{0}}_{g}&\mathbf{I}_{g}\end{bmatrix}\Rightarrow\theta\left(\mathbf% {z}\middle|\boldsymbol{{\Omega}}+\mathbf{B}\right)=\theta\left(\mathbf{z}+% \tfrac{1}{2}\operatorname{diag}\mathbf{B}\middle|\boldsymbol{{\Omega}}\right).}}
    0 references
    DLMF id
    DLMF:21.5.E7
    0 references
    Symbols used
    Riemann theta function
    Defining formula
    θ ⁡ ( 𝐳 | 𝛀 ) Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}
    xml-id
    C21.S2.E1.m2acdec
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    Q11959
    Defining formula
    g 𝑔 {\displaystyle{\displaystyle g}}
    xml-id
    C21.S1.XMD1.m1cdec
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