MoebiusMu

MoebiusMu(expr)

calculate the Möbius function.

• MoebiusMu(n) = 1 if n is a square-free integer with an even number of prime factors.
• MoebiusMu(n) = −1 if n is a square-free integer with an odd number of prime factors.
• MoebiusMu(n) = 0 if n has a squared prime factor.

See:

• Wikipedia - Möbius function

Examples

>> MoebiusMu(30)
-1

>> FactorInteger(30)
{{2,1},{3,1},{5,1}}

Implementation status

• ☑ - partially implemented

Github

• Implementation of MoebiusMu