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Formula:8692

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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
  •  Edit this on Wikidata

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