DLMF:21.5.E6 (Q6883): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: DLMF:21.5.E1 / rank
 
Normal rank
Property / Symbols used: DLMF:21.5.E1 / qualifier
 
Defining formula:

𝚪 𝚪 {\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}

\boldsymbol{{\Gamma}}
Property / Symbols used: DLMF:21.5.E1 / qualifier
 
xml-id: C21.S5.XMD1.m1edec

Latest revision as of 14:49, 2 January 2020

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DLMF:21.5.E6
No description defined

    Statements

    Defining formula
    𝚪 = [ 𝐈 g 𝐁 𝟎 g 𝐈 g ] ⇒ θ ⁡ ( 𝐳 | 𝛀 + 𝐁 ) = θ ⁡ ( 𝐳 | 𝛀 ) . 𝚪 subscript 𝐈 𝑔 𝐁 subscript 0 𝑔 subscript 𝐈 𝑔 ⇒ Riemann-theta 𝐳 𝛀 𝐁 Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\boldsymbol{{\Gamma}}=\begin{bmatrix}\mathbf{I}_{g% }&\mathbf{B}\\ \boldsymbol{{0}}_{g}&\mathbf{I}_{g}\end{bmatrix}\Rightarrow\theta\left(\mathbf% {z}\middle|\boldsymbol{{\Omega}}+\mathbf{B}\right)=\theta\left(\mathbf{z}% \middle|\boldsymbol{{\Omega}}\right).}}
    0 references
    DLMF id
    DLMF:21.5.E6
    0 references
    Symbols used
    Riemann theta function
    Defining formula
    θ ⁡ ( 𝐳 | 𝛀 ) Riemann-theta 𝐳 𝛀 {\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}
    xml-id
    C21.S2.E1.m2abdec
    0 references
    Q11959
    Defining formula
    g 𝑔 {\displaystyle{\displaystyle g}}
    xml-id
    C21.S1.XMD1.m1bdec
    0 references
    Q11960
    Defining formula
    𝛀 𝛀 {\displaystyle{\displaystyle\boldsymbol{{\Omega}}}}
    xml-id
    C21.S1.XMD3.m1bdec
    0 references
    DLMF:21.5.E1
    Defining formula
    𝚪 𝚪 {\displaystyle{\displaystyle\boldsymbol{{\Gamma}}}}
    xml-id
    C21.S5.XMD1.m1edec
    0 references
     
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