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DLMF:21.3.E6 - MaRDI portal

DLMF:21.3.E6 (Q7569)

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DLMF:21.3.E6
No description defined

    Statements

    DLMF defining formula
    θ ⁢ [ 𝜶 𝜷 ] ⁡ ( - 𝐳 | 𝛀 ) = ( - 1 ) 4 ⁢ 𝜶 ⋅ 𝜷 ⁢ θ ⁢ [ 𝜶 𝜷 ] ⁡ ( 𝐳 | 𝛀 ) . Riemann-theta-characterstics 𝜶 𝜷 𝐳 𝛀 superscript 1 ⋅ 4 𝜶 𝜷 Riemann-theta-characterstics 𝜶 𝜷 𝐳 𝛀 {\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}% }}{\boldsymbol{{\beta}}}\left(-\mathbf{z}\middle|\boldsymbol{{\Omega}}\right)=% (-1)^{4\boldsymbol{{\alpha}}\cdot\boldsymbol{{\beta}}}\theta\genfrac{[}{]}{0.0% pt}{}{\boldsymbol{{\alpha}}}{\boldsymbol{{\beta}}}\left(\mathbf{z}\middle|% \boldsymbol{{\Omega}}\right).}}
    0 references
    Symbols used
    Riemann theta function with characteristics
    DLMF defining formula
    θ ⁢ [ 𝜶 𝜷 ] ⁡ ( | missing ) Riemann-theta-characterstics 𝜶 𝜷 missing {\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{% \alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C21.S2.E5.m2abdec
    0 references
    a Riemann matrix
    DLMF defining formula
    𝛀 𝛀 {\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
    xml-id
    C21.S1.XMD3.m1edec
    0 references
    g -dimensional vector
    DLMF defining formula
    𝜶 𝜶 {\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}
    xml-id
    C21.S1.XMD4.m1bdec
    0 references
    g -dimensional vector
    DLMF defining formula
    𝜷 𝜷 {\displaystyle{\displaystyle\boldsymbol{{\beta}}}}
    xml-id
    C21.S1.XMD5.m1bdec
    0 references

    Identifiers

     
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