A note on Farey sequences and Hausdorff dimension
arXiv:math-ph/9902018
Abstract
We prove that the Farey sequences can be express into equivalence classes labeled by a fractal parameter which looks like a Hausdorff dimension defined within the interval 1 < h < 2. The classes satisfy the same properties of the Farey series and for each value of there exists an algebraic equation.
4 pages, latex