DLMF:21.6.E8 (Q6896): Difference between revisions

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No description defined

Language	Label	Description	Also known as
English	DLMF:21.6.E8	No description defined

Statements

Defining formula

{\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).}}

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DLMF:21.6.E8

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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.m2abdec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2addec

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Defining formula

{\displaystyle{\displaystyle\mathbb{Z}}}

introduction.Sx4.p2.t1.r20.m2addec

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Defining formula

{\displaystyle{\displaystyle g}}

C21.S1.XMD1.m1edec

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Defining formula

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

C21.S1.XMD3.m1ddec

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Defining formula

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

C21.S1.XMD4.m1bdec

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Sitelinks

Wikipedia(0 entries)

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