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DLMF:27.5.E2
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Formula:8719
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MaRDI QID
Q8719
Label: DLMF:27.5.E2
Digital Library of Mathematical Functions ID
27.5.E2
∑
d
|
n
μ
(
d
)
=
⌊
1
n
⌋
,
subscript
divides
𝑑
𝑛
Moebius-mu
𝑑
1
𝑛
{\displaystyle{\displaystyle\sum_{d\mathbin{|}n}\mu\left(d\right)=\left\lfloor% \frac{1}{n}\right\rfloor,}}
Constraint(s)
Symbols List
μ
(
n
)
Moebius-mu
𝑛
{\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
: Möbius function
⌊
x
⌋
𝑥
{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}
:
d
𝑑
{\displaystyle{\displaystyle d}}
: positive integer
n
𝑛
{\displaystyle{\displaystyle n}}
: positive integer
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