A class of arithmetic functions on PSL2(ℤ)

Paul Spiegelhalter; Alexandru Zaharescu

doi:10.4134/BKMS.2013.50.2.601

A class of arithmetic functions on PSL₂(ℤ)

Paul Spiegelhalter, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

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 PSL₂(ℤ), and explore some of the properties of these maps.

Original language	English (US)
Pages (from-to)	601-610
Number of pages	10
Journal	Bulletin of the Korean Mathematical Society
Volume	50
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2013.50.2.601
State	Published - 2013

Keywords

Dirichlet series
Farey fractions
PSL(ℤ)

ASJC Scopus subject areas

General Mathematics

Online availability

10.4134/BKMS.2013.50.2.601

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Cite this

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