The Distribution of Special Subsets of the Farey Sequence
Number Theory
2009-07-14 v1
Abstract
In this paper we generalize some of our results from, `A note on Farey fractions with odd denominators' to subsets of Farey fractions consisting of fractions with denominators not divisible by a given prime. We also investigate the joint distribution of numerators of differences of h-tuples of consecutive fractions in these sets.
Keywords
Cite
@article{arxiv.0907.2171,
title = {The Distribution of Special Subsets of the Farey Sequence},
author = {Alan K. Haynes},
journal= {arXiv preprint arXiv:0907.2171},
year = {2009}
}