DLMF:21.6.E8 (Q6896)

From DRMF
Revision as of 14:52, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:21.6.E8
No description defined

    Statements

    θ [ 𝜶 𝜸 ] ( 𝐳 1 | 𝛀 ) θ [ 𝜷 𝜹 ] ( 𝐳 2 | 𝛀 ) = 𝝂 g / ( 2 g ) θ [ 1 2 [ 𝜶 + 𝜷 + 𝝂 ] 𝜸 + 𝜹 ] ( 𝐳 1 + 𝐳 2 | 2 𝛀 ) θ [ 1 2 [ 𝜶 - 𝜷 + 𝝂 ] 𝜸 - 𝜹 ] ( 𝐳 1 - 𝐳 2 | 2 𝛀 ) . Riemann-theta-characterstics 𝜶 𝜸 subscript 𝐳 1 𝛀 Riemann-theta-characterstics 𝜷 𝜹 subscript 𝐳 2 𝛀 subscript 𝝂 𝑔 2 𝑔 Riemann-theta-characterstics 1 2 delimited-[] 𝜶 𝜷 𝝂 𝜸 𝜹 subscript 𝐳 1 subscript 𝐳 2 2 𝛀 Riemann-theta-characterstics 1 2 delimited-[] 𝜶 𝜷 𝝂 𝜸 𝜹 subscript 𝐳 1 subscript 𝐳 2 2 𝛀 {\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}% }}{\boldsymbol{{\gamma}}}\left(\mathbf{z}_{1}\middle|\boldsymbol{{\Omega}}% \right)\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\beta}}}{\boldsymbol{{\delta% }}}\left(\mathbf{z}_{2}\middle|\boldsymbol{{\Omega}}\right)=\sum_{\boldsymbol{% {\nu}}\in{\mathbb{Z}^{g}}/\left(2{\mathbb{Z}^{g}}\right)}\theta\genfrac{[}{]}{% 0.0pt}{}{\frac{1}{2}[\boldsymbol{{\alpha}}+\boldsymbol{{\beta}}+\boldsymbol{{% \nu}}]}{\boldsymbol{{\gamma}}+\boldsymbol{{\delta}}}\left(\mathbf{z}_{1}+% \mathbf{z}_{2}\middle|2\boldsymbol{{\Omega}}\right)\*\theta\genfrac{[}{]}{0.0% pt}{}{\frac{1}{2}[\boldsymbol{{\alpha}}-\boldsymbol{{\beta}}+\boldsymbol{{\nu}% }]}{\boldsymbol{{\gamma}}-\boldsymbol{{\delta}}}\left(\mathbf{z}_{1}-\mathbf{z% }_{2}\middle|2\boldsymbol{{\Omega}}\right).}}
    0 references
    DLMF:21.6.E8
    0 references
    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}}}
    C21.S2.E5.m2abdec
    0 references