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DLMF:21.5.E9 - MaRDI portal
Statements
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,
Riemann-theta-characterstics
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delimited-[]
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Riemann-theta-characterstics
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đł
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{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\mathbf{D}%
\boldsymbol{{\alpha}}-\mathbf{C}\boldsymbol{{\beta}}+\tfrac{1}{2}\operatorname%
{diag}[\mathbf{C}\mathbf{D}^{\mathrm{T}}]}{-\mathbf{B}\boldsymbol{{\alpha}}+%
\mathbf{A}\boldsymbol{{\beta}}+\tfrac{1}{2}\operatorname{diag}[\mathbf{A}%
\mathbf{B}^{\mathrm{T}}]}\left(\left[[\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{%
D}]^{-1}\right]^{\mathrm{T}}\mathbf{z}\middle|[\mathbf{A}\boldsymbol{{\Omega}}%
+\mathbf{B}][\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}\right)=\kappa(%
\boldsymbol{{\alpha}},\boldsymbol{{\beta}},\boldsymbol{{\Gamma}})\sqrt{\det[%
\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]}e^{\pi i\mathbf{z}\cdot\left[[%
\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}\mathbf{C}\right]\cdot\mathbf{%
z}}\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}}}{\boldsymbol{{\beta}}}%
\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right),}}
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Riemann-theta-characterstics
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missing
{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{%
\alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}
Ï
{\displaystyle{\displaystyle\pi}}
det
{\displaystyle{\displaystyle\det}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
đ
đ
{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
đ¶
đ¶
{\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}
đ·
đ·
{\displaystyle{\displaystyle\boldsymbol{{\beta}}}}
diag
âĄ
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diagonal
đ
{\displaystyle{\displaystyle\operatorname{diag}\mathbf{A}}}
đȘ
đȘ
{\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}
Identifiers