TY - JOUR

T1 - A class of arithmetic functions on PSL2(ℤ)

AU - Spiegelhalter, Paul

AU - Zaharescu, Alexandru

PY - 2013/11/11

Y1 - 2013/11/11

N2 - 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.

AB - 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.

KW - Dirichlet series

KW - Farey fractions

KW - PSL(ℤ)

UR - http://www.scopus.com/inward/record.url?scp=84887048804&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887048804&partnerID=8YFLogxK

U2 - 10.4134/BKMS.2013.50.2.601

DO - 10.4134/BKMS.2013.50.2.601

M3 - Article

AN - SCOPUS:84887048804

VL - 50

SP - 601

EP - 610

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

SN - 1015-8634

IS - 2

ER -