Recursive Formulas Related to the Summation of the Möbius Function

@inproceedings{Benito2008RecursiveFR,
  title={Recursive Formulas Related to the Summation of the M{\"o}bius Function},
  author={Manuel Benito and Juan Luis Varona},
  year={2008}
}
For positive integers n, let μ(n) be the Möbius function, and M(n) its sum M(n) = Pn k=1 μ(k). We find some identities and recursive formulas for computing M(n); in particular, we present a two-parametric family of recursive formulas.