Gap distribution of Farey fractions under some divisibility constraints
Number Theory
2013-04-12 v2
Abstract
For a fixed positive integer d, we show the existence of the limiting gap distribution measure for the sets of Farey fractions a/q of order Q with a not divisible by d, and respectively with q relatively prime with d, as Q tends to infinity.
Cite
@article{arxiv.1301.0277,
title = {Gap distribution of Farey fractions under some divisibility constraints},
author = {Florin P. Boca and Byron Heersink and Paul Spiegelhalter},
journal= {arXiv preprint arXiv:1301.0277},
year = {2013}
}
Comments
15 pages, revised version