DLMF:27.11.E9 (Q8078): Difference between revisions

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Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
Defining formula:

O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2ahdec

Revision as of 14:26, 2 January 2020

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DLMF:27.11.E9
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    Statements

    p x p h ( mod k ) 1 p = 1 ϕ ( k ) ln ln x + B + O ( 1 ln x ) , subscript 𝑝 𝑥 modular-equivalence 𝑝 annotated pmod 𝑘 1 𝑝 1 Euler-totient-phi 𝑘 𝑥 𝐵 Big-O 1 𝑥 {\displaystyle{\displaystyle\sum_{\begin{subarray}{c}p\leq x\\ p\equiv h\!\!\!\!\!\pmod{k}\end{subarray}}\frac{1}{p}=\frac{1}{\phi\left(k% \right)}\ln\ln x+B+O\left(\frac{1}{\ln x}\right),}}
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    DLMF:27.11.E9
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2ahdec
    0 references