DLMF:27.14.E13 (Q8112)

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DLMF:27.14.E13
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    Statements

    test
    η ⁡ ( τ ) = e π ⁢ i ⁢ τ / 12 ⁢ f ⁡ ( e 2 ⁢ π ⁢ i ⁢ τ ) . Dedekind-modular-Eta 𝜏 superscript 𝑒 imaginary-unit 𝜏 12 Euler-phi superscript 𝑒 2 imaginary-unit 𝜏 {\displaystyle{\displaystyle\eta\left(\tau\right)=e^{\pi\mathrm{i}\tau/12}% \mathit{f}\left(e^{2\pi\mathrm{i}\tau}\right).}}
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    DLMF id
    DLMF:27.14.E13
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    constraint
    ℑ ⁡ τ > 0 𝜏 0 {\displaystyle{\displaystyle\Im\tau>0}}
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