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DLMF:21.3.E4 - MaRDI portal
Statements
θ
[
𝜶
+
𝐦
1
𝜷
+
𝐦
2
]
(
𝐳
|
𝛀
)
=
e
2
π
i
𝜶
⋅
𝐦
2
θ
[
𝜶
𝜷
]
(
𝐳
|
𝛀
)
.
Riemann-theta-characterstics
𝜶
subscript
𝐦
1
𝜷
subscript
𝐦
2
𝐳
𝛀
superscript
𝑒
⋅
2
𝜋
𝑖
𝜶
subscript
𝐦
2
Riemann-theta-characterstics
𝜶
𝜷
𝐳
𝛀
{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}%
}+\mathbf{m}_{1}}{\boldsymbol{{\beta}}+\mathbf{m}_{2}}\left(\mathbf{z}\middle|%
\boldsymbol{{\Omega}}\right)=e^{2\pi i\boldsymbol{{\alpha}}\cdot\mathbf{m}_{2}%
}\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}}}{\boldsymbol{{\beta}}}%
\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right).}}
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}}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
𝛀
𝛀
{\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
𝜶
𝜶
{\displaystyle{\displaystyle\boldsymbol{{\alpha}}}}
𝜷
𝜷
{\displaystyle{\displaystyle\boldsymbol{{\beta}}}}
Identifiers