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

Paul Spiegelhalter; Alexandru Zaharescu

doi:10.4134/BKMS.2014.51.2.443

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

Paul Spiegelhalter, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	443-455
Number of pages	13
Journal	Bulletin of the Korean Mathematical Society
Volume	51
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2014.51.2.443
State	Published - 2014

Keywords

Dirichlet series

ASJC Scopus subject areas

General Mathematics

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Cite this

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