A class of arithmetic functions on PSL2(ℤ)

Paul Spiegelhalter, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)601-610
Number of pages10
JournalBulletin of the Korean Mathematical Society
Issue number2
StatePublished - 2013


  • Dirichlet series
  • Farey fractions
  • PSL(ℤ)

ASJC Scopus subject areas

  • Mathematics(all)


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