DLMF:27.11.E11 (Q8080)

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Language	Label	Description	Also known as
English	DLMF:27.11.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{\begin{subarray}{c}p\leq x\\ p\equiv h\!\!\!\!\!\pmod{k}\end{subarray}}\frac{\ln p}{p}=\frac{1}{\phi\left(k% \right)}\ln x+O\left(1\right),}}

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DLMF:27.11.E11

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order not exceeding

Defining formula

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

C2.S1.E3.m2ajdec

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Euler’s totient

Defining formula

{\displaystyle{\displaystyle\phi\left(\NVar{n}\right)}}

C27.S2.E7.m2acdec

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Defining formula

{\displaystyle{\displaystyle\equiv}}

introduction.Sx4.p2.t1.r10.m10aadec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2ahdec

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Defining formula

{\displaystyle{\displaystyle k}}

C27.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle p,p_{1},\ldots}}

C27.S1.XMD5.m1cdec

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Defining formula

{\displaystyle{\displaystyle x}}

C27.S1.XMD6.m1jdec

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Sitelinks

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