Möbius Function - Mathematics & Logic - Pure Mathematics Dictionary Definition Multiplicative arithmetic function μ(n) taking values in {−1, 0, 1}: μ(n)=0 if n is divisible by the square of a prime, and otherwise μ(n)= (−1)^{r} where r is the number of distinct prime factors of n.
Möbius Function - Mathematics & Logic - Pure Mathematics Dictionary Definition Multiplicative arithmetic function μ(n) taking values in {−1, 0, 1}: μ(n)=0 if n is divisible by the square of a prime, and otherwise μ(n)= (−1)^{r} where r is the number of distinct prime factors of n.