DLMF:21.2.E5 (Q6861)

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Language	Label	Description	Also known as
English	DLMF:21.2.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}% }}{\boldsymbol{{\beta}}}\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right)=% \sum_{\mathbf{n}\in{\mathbb{Z}^{g}}}e^{2\pi i\left(\frac{1}{2}[\mathbf{n}+% \boldsymbol{{\alpha}}]\cdot\boldsymbol{{\Omega}}\cdot[\mathbf{n}+\boldsymbol{{% \alpha}}]+[\mathbf{n}+\boldsymbol{{\alpha}}]\cdot[\mathbf{z}+\boldsymbol{{% \beta}}]\right)}.}}

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DLMF:21.2.E5

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Symbols defined

Riemann theta function with characteristics

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle\in}}

introduction.Sx4.p1.t1.r10.m2aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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Defining formula

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

C1.S9.E1.m2acdec

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Defining formula

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

introduction.Sx4.p2.t1.r20.m2aadec

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Defining formula

{\displaystyle{\displaystyle g}}

C21.S1.XMD1.m1adec

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Defining formula

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

C21.S1.XMD3.m1bdec

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Defining formula

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

C21.S1.XMD4.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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