2. DISTRIBUTION OF THE RATIONAL NUMBERS IN THE FAREY TREE

ABSTRACT. A notable example of a discontinuous-everywhere function that is not tra-ditionally integrable, yet, when properly defined, can be integrated, is derivative of the Minkowski Question Mark function. Some subject matter overlaps that of [6]. This paper includes numerical results for the Fourier transform of the measure, its Mellin transform, and Poisson kernel. This document is a research diary noting various results, and is haphazardly structured. This note is a part of a set of papers that explore the relationship between the real numbers, the Cantor set, the dyadic monoid (a sub-monoid of the modular group SL(2,Z)), and fractals