DLMF:21.2.E4 (Q6860): Difference between revisions

Revision as of 14:46, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:21.2.E4	No description defined

{\displaystyle{\displaystyle\hat{\theta}\left(x_{1}+iy_{1},x_{2}+iy_{2}\middle% |\begin{bmatrix}i&-\tfrac{1}{2}\\ -\tfrac{1}{2}&i\end{bmatrix}\right)=\sum_{n_{1}=-\infty}^{\infty}\sum_{n_{2}=-% \infty}^{\infty}e^{-\pi(n_{1}+y_{1})^{2}-\pi(n_{2}+y_{2})^{2}}\*e^{\pi i(2n_{1% }x_{1}+2n_{2}x_{2}-n_{1}n_{2})}.}}

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DLMF:21.2.E4

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{\displaystyle{\displaystyle\hat{\theta}\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}

C21.S2.E2.m2aadec

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@@ Property / Symbols used @@
+scaled Riemann theta function
@@ Property / Symbols used: scaled Riemann theta function / rank @@
+Normal rank
@@ Property / Symbols used: scaled Riemann theta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\hat{\theta}\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}$ 
\scRiemanntheta@{\NVar{\mathbf{z}}}{\NVar{\boldsymbol{{\Omega}}}}
@@ Property / Symbols used: scaled Riemann theta function / qualifier @@
+xml-id: C21.S2.E2.m2aadec