DLMF:21.2.E1 (Q6857): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: Riemann theta function / rank
 
Normal rank

Revision as of 16:23, 30 December 2019

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DLMF:21.2.E1
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    θ ( 𝐳 | 𝛀 ) = 𝐧 g e 2 π i ( 1 2 𝐧 𝛀 𝐧 + 𝐧 𝐳 ) . Riemann-theta 𝐳 𝛀 subscript 𝐧 𝑔 superscript 𝑒 2 𝜋 𝑖 1 2 𝐧 𝛀 𝐧 𝐧 𝐳 {\displaystyle{\displaystyle\theta\left(\mathbf{z}\middle|\boldsymbol{{\Omega}% }\right)=\sum_{\mathbf{n}\in{\mathbb{Z}^{g}}}e^{2\pi i\left(\frac{1}{2}\mathbf% {n}\cdot\boldsymbol{{\Omega}}\cdot\mathbf{n}+\mathbf{n}\cdot\mathbf{z}\right)}% .}}
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    DLMF:21.2.E1
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