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DLMF:27.6.E3
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Formula:8728
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MaRDI QID
Q8728
Label: DLMF:27.6.E3
Digital Library of Mathematical Functions ID
27.6.E3
∑
d
|
n
|
μ
(
d
)
|
=
2
ν
(
n
)
,
subscript
divides
𝑑
𝑛
Moebius-mu
𝑑
superscript
2
number-of-primes-dividing-nu
𝑛
{\displaystyle{\displaystyle\sum_{d\mathbin{|}n}|\mu\left(d\right)|=2^{\nu% \left(n\right)},}}
Constraint(s)
Symbols List
μ
(
n
)
Moebius-mu
𝑛
{\displaystyle{\displaystyle\mu\left(\NVar{n}\right)}}
: Möbius function
ν
(
n
)
number-of-primes-dividing-nu
𝑛
{\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
:
d
𝑑
{\displaystyle{\displaystyle d}}
: positive integer
n
𝑛
{\displaystyle{\displaystyle n}}
: positive integer
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