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DLMF:21.3.E1 - MaRDI portal

DLMF:21.3.E1 (Q7564)

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DLMF:21.3.E1
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    Statements

    DLMF defining formula
    θ ⁡ ( - 𝐳 | 𝛀 ) = θ ⁡ ( 𝐳 | 𝛀 ) , Riemann-theta 𝐳 𝛀 Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(-\mathbf{z}\middle|\boldsymbol{{\Omega% }}\right)=\theta\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right),}}
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    Symbols used
    Riemann theta function
    DLMF 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.m2adec
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    a Riemann matrix
    DLMF defining formula
    𝛀 𝛀 {\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
    xml-id
    C21.S1.XMD3.m1dec
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    Identifiers

     
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