The transform inverting the sequence g(n) congruent sum_(d|n) f(d) into f(n) = sum_(d|n) μ(d) g(n/d), where the sums are over all possible integers d that divide n and μ(d) is the Möbius function. The logarithm of the cyclotomic polynomial Φ_n(x) = product_(d|n) (1 - x^(n/d))^(μ(d)) is closely related to the Möbius inversion formula.

cyclotomic polynomial | Dirichlet generating function | Möbius function | Möbius transform