A CLASS OF ARITHMETIC FUNCTIONS ON PSL2(Z)

作者:Spiegelhalter Paul*; Zaharescu Alexandru
来源:Bulletin of the Korean Mathematical Society, 2013, 50(2): 601-610.
DOI:10.4134/BKMS.2013.50.2.601

摘要

In [3] and [2], Atanassov introduced the two arithmetic functions I(n) = Pi(p alpha parallel to n) p(1/alpha) and R(n) = Pi(p alpha parallel to n) p(alpha-1) 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.

  • 出版日期2013-3

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