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

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

2010-02-14

arxiv.org/abs/1002.2756v1

Acta Univ. Sapientiae, Mathematica, 1 (2009), 143-150

Mathematics

Number Theory

Scientific paper

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.

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