Formula:7582

Digital Library of Mathematical Functions ID 21.5.E9

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Riemannthetachar{\mathbf{D}\boldsymbol{{\alpha}}-\mathbf{C}\boldsymbol{{\beta}}+\tfrac{1}{2}\diag[\mathbf{C}\transpose{\mathbf{D}}]}{-\mathbf{B}\boldsymbol{{\alpha}}+\mathbf{A}\boldsymbol{{\beta}}+\tfrac{1}{2}\diag[\mathbf{A}\transpose{\mathbf{B}}]}@{\transpose{\left[[\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}\right]}\mathbf{z}}{[\mathbf{A}\boldsymbol{{\Omega}}+\mathbf{B}][\mathbf{C}\boldsymbol{{\Omega}}+\mathbf{D}]^{-1}}=\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}}\Riemannthetachar{\boldsymbol{{\alpha}}}{\boldsymbol{{\beta}}}@{\mathbf{z}}{\boldsymbol{{\Omega}}},}

Symbols List

• ${\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\NVar{\boldsymbol{{\alpha}}}}{\NVar{\boldsymbol{{\beta}}}}\left(\middle|missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$: Riemann theta function with characteristics
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\det}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \expe} : base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}$: a Riemann matrix
• ${\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}$: g -dimensional vector
• ${\displaystyle{\displaystyle\boldsymbol{{\beta}}}}$: g -dimensional vector
• ${\displaystyle{\displaystyle\operatorname{diag}\mathbf{A}}}$: Transpose of [ A 11 , A 22 , … , A ⁢ g g ]
• ${\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}$: 21.5.E1
 

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