%0 Journal Article %T Generalized Mobius-type functions and special set of k-free numbers %A Antal Bege %J Mathematics %D 2010 %I arXiv %X In [3] Bege introduced the generalized Apostol's Mobius functions. In this paper we are presenting new properties of this functions. By introducing the special set of k-free numbers we have obtained some asymptotic formulas for the partial sums of these functions. %U http://arxiv.org/abs/1002.2756v1