DLMF:27.5.E4 (Q8028)

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Language	Label	Description	Also known as
English	DLMF:27.5.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle n=\sum_{d\mathbin{|}n}\phi\left(d\right)% \Longleftrightarrow\phi\left(n\right)=\sum_{d\mathbin{|}n}d\mu\left(\frac{n}{d% }\right),}}

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DLMF:27.5.E4

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Euler’s totient

Defining formula

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

C27.S2.E7.m2adec

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Möbius function

Defining formula

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

C27.S2.E12.m2abdec

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Defining formula

{\displaystyle{\displaystyle d}}

C27.S1.XMD1.m1cdec

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Defining formula

{\displaystyle{\displaystyle n}}

C27.S1.XMD4.m1cdec

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Sitelinks

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