A CLASS OF ARITHMETIC FUNCTIONS ON PSL2(Z), II

作者：Spiegelhalter Paul^*; Zaharescu Alexandru

来源：Bulletin of the Korean Mathematical Society, 2014, 51(2): 443-455.

DOI：10.4134/BKMS.2014.51.2.443

• PSL2(Z)
• Dirichlet series

Atanassov introduced the irrational factor function and the strong restrictive factor function, which he defined as
I(n) = Pi(Rho alpha parallel to n)p(1/alpha) and R(n) = Pi(Rho alpha parallel to n)p(alpha-1)
in [2] and [3]. Various properties of these functions have been investigated 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.

• 出版日期2014-3