### Abstract

In [3] and [2], Atanassov introduced the two arithmetic functions called the irrational factor and the restrictive factor, respectively. Alkan, Ledoan, Panaitopol, and the authors explore properties of these arithmetic functions in [1], [7], [8] and [9]. In the present paper, we generalize these functions to a larger class of elements of PSL_{2}(ℤ), and explore some of the properties of these maps.

Original language | English (US) |
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Pages (from-to) | 601-610 |

Number of pages | 10 |

Journal | Bulletin of the Korean Mathematical Society |

Volume | 50 |

Issue number | 2 |

DOIs | |

State | Published - Nov 11 2013 |

### Keywords

- Dirichlet series
- Farey fractions
- PSL(ℤ)

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Spiegelhalter, P., & Zaharescu, A. (2013). A class of arithmetic functions on PSL

_{2}(ℤ).*Bulletin of the Korean Mathematical Society*,*50*(2), 601-610. https://doi.org/10.4134/BKMS.2013.50.2.601