DLMF:20.7.E28 (Q6823)

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DLMF:20.7.E28
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    Statements

    Defining formula
    θ 3 ⁡ ( z | τ + 1 ) = θ 4 ⁡ ( z | τ ) , Jacobi-theta-tau 3 𝑧 𝜏 1 Jacobi-theta-tau 4 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{3}\left(z\middle|\tau+1\right)=\theta_{4}% \left(z\middle|\tau\right),}}
    0 references
    DLMF id
    DLMF:20.7.E28
    0 references
    Symbols used
    Q11946
    Defining formula
    θ j ⁡ ( z | τ ) Jacobi-theta-tau 𝑗 𝑧 𝜏 {\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}% \right)}}
    xml-id
    C20.S2.SS1.m1amdec
    0 references
    Q11948
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C20.S1.XMD3.m1xdec
    0 references
    Q11949
    Defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C20.S1.XMD4.m1mdec
    0 references
     
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