A note on Farey sequences and Hausdorff dimension
Mathematical Physics
2007-05-23 v1 math.MP
Numerical Analysis
Number Theory
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.
Cite
@article{arxiv.math-ph/9902018,
title = {A note on Farey sequences and Hausdorff dimension},
author = {Wellington da Cruz},
journal= {arXiv preprint arXiv:math-ph/9902018},
year = {2007}
}
Comments
4 pages, latex