DLMF:27.12.E8 (Q8092)

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DLMF:27.12.E8
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    Statements

    Defining formula
    li ⁡ ( x ) ϕ ⁡ ( m ) + O ⁡ ( x ⁢ exp ⁡ ( - λ ⁢ ( α ) ⁢ ( ln ⁡ x ) 1 / 2 ) ) , logarithmic-integral 𝑥 Euler-totient-phi 𝑚 Big-O 𝑥 𝜆 𝛼 superscript 𝑥 1 2 {\displaystyle{\displaystyle\frac{\mathrm{li}\left(x\right)}{\phi\left(m\right% )}+O\left(x\exp\left(-\lambda(\alpha)(\ln x)^{1/2}\right)\right),}}
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    DLMF id
    DLMF:27.12.E8
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    constraint
    m ≤ ( ln ⁡ x ) α 𝑚 superscript 𝑥 𝛼 {\displaystyle{\displaystyle m\leq(\ln x)^{\alpha}}}
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    m ≤ ( ln ⁡ x ) α 𝑚 superscript 𝑥 𝛼 {\displaystyle{\displaystyle m\leq(\ln x)^{\alpha}}}
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