DLMF:27.12.E8 (Q8092): Difference between revisions

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Property / constraint
 

m ( ln x ) α 𝑚 superscript 𝑥 𝛼 {\displaystyle{\displaystyle m\leq(\ln x)^{\alpha}}}

m\leq(\ln@@{x})^{\alpha}
Property / constraint: m ( ln x ) α 𝑚 superscript 𝑥 𝛼 {\displaystyle{\displaystyle m\leq(\ln x)^{\alpha}}} / rank
 
Normal rank

Revision as of 18:22, 30 December 2019

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DLMF:27.12.E8
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    Statements

    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:27.12.E8
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    m ( ln x ) α 𝑚 superscript 𝑥 𝛼 {\displaystyle{\displaystyle m\leq(\ln x)^{\alpha}}}
    0 references