DLMF:10.20.E16 (Q3273)

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DLMF:10.20.E16
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    Statements

    Defining formula
    ζ = e ∓ i ⁢ π / 3 ⁢ τ , 𝜁 superscript 𝑒 minus-or-plus 𝑖 𝜋 3 𝜏 {\displaystyle{\displaystyle\zeta=e^{\mp i\pi/3}\tau,}}
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    DLMF id
    DLMF:10.20.E16
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    comment
    Warning: Falling back to standard tex;
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    constraint
    0 ≤ τ ≤ ( 3 2 ⁢ π ) 2 3 0 𝜏 superscript 3 2 𝜋 2 3 {\displaystyle{\displaystyle 0\leq\tau\leq(\tfrac{3}{2}\pi)^{\frac{2}{3}}}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2acdec
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    Q11451
    Defining formula
    ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}
    xml-id
    C10.S20.XMD1.m1ndec
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