English

Generalized Mobius-type functions and special set of k-free numbers

Number Theory 2010-02-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1002.2756,
  title  = {Generalized Mobius-type functions and special set of k-free numbers},
  author = {Antal Bege},
  journal= {arXiv preprint arXiv:1002.2756},
  year   = {2010}
}