English

A generalization of Apostol's M\"obius functions of order k

Number Theory 2009-07-31 v1

Abstract

Apostol's Mobius functions of order k are generalized to depend on a second integer parameter m. Asymptotic formulas are obtained for the partial sums of these generalized functions.

Keywords

Cite

@article{arxiv.0907.5293,
  title  = {A generalization of Apostol's M\"obius functions of order k},
  author = {Antal Bege},
  journal= {arXiv preprint arXiv:0907.5293},
  year   = {2009}
}