A class of arithmetic functions on PSL2(ℝ), II

Paul Spiegelhalter, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Atanassov introduced the irrational factor function and the strong restrictive factor function, which he defined as in and [2] and [3]. Various properties of these functions have been investi- gated by Alkan, Ledoan, Panaitopol, and the authors. In the prequel, we expanded these functions to a class of elements of PSL2 (Z), and studied some of the properties of these maps. In the present paper we generalize the previous work by introducing real moments and considering a larger class of maps. This allows us to explore new properties of these arithmetic functions.

Original languageEnglish (US)
Pages (from-to)443-455
Number of pages13
JournalBulletin of the Korean Mathematical Society
Volume51
Issue number2
DOIs
StatePublished - 2014

Keywords

  • Dirichlet series

ASJC Scopus subject areas

  • Mathematics(all)

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