DLMF:21.5.E9 (Q6888)

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No description defined

Language	Label	Description	Also known as
English	DLMF:21.5.E9	No description defined

Statements

Defining formula

{\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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DLMF:21.5.E9

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Riemann theta function with characteristics

Defining formula

{\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.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\det}}

C1.S3.SS1.m1acdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2abdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}

C21.S1.XMD3.m1edec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}

C21.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{{\beta}}}}

C21.S1.XMD5.m1dec

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Defining formula

{\displaystyle{\displaystyle\operatorname{diag}\mathbf{A}}}

C21.S1.XMD6.m1adec

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Defining formula

{\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}

C21.S5.XMD1.m1hdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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