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Digital Library of Mathematical Functions ID
27.2.E12
μ
(
n
)
=
{
1
,
n
=
1
,
(
-
1
)
ν
(
n
)
,
a
1
=
a
2
=
…
=
a
ν
(
n
)
=
1
,
0
,
otherwise
.
Moebius-mu
𝑛
cases
1
𝑛
1
superscript
1
number-of-primes-dividing-nu
𝑛
subscript
𝑎
1
subscript
𝑎
2
…
subscript
𝑎
number-of-primes-dividing-nu
𝑛
1
0
otherwise
{\displaystyle{\displaystyle\mu\left(n\right)=\begin{cases}1,&n=1,\\ (-1)^{\nu\left(n\right)},&a_{1}=a_{2}=\dots=a_{\nu\left(n\right)}=1,\\ 0,&\mbox{otherwise}.\end{cases}}}
Constraint(s)
Symbols List
ν
(
n
)
number-of-primes-dividing-nu
𝑛
{\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
:
n
𝑛
{\displaystyle{\displaystyle n}}
: positive integer
a
𝑎
{\displaystyle{\displaystyle a}}
: primitive root
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