A CLASS OF ARITHMETIC FUNCTIONS ON PSL2(Z), II
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Atanassov introduced the irrational factor function and the strong restrictive factor function, which he de ned as I(n) = Y pα∥n p1=α and R(n) = Y pα∥n pα-1 in [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.
Abstract
Atanassov introduced the irrational factor function and the strong restrictive factor function, which he de ned as I(n) = Y pα∥n p1=α and R(n) = Y pα∥n pα-1 in [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.
참고문헌 (15)
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