On Zaremba's Conjecture
Number Theory
2013-07-15 v2
Abstract
It is shown that there is a constant A and a density one subset S of the positive integers, such that for all q in S there is some 1<=p<q, (p, q)=1, so that p/q has all its partial quotients bounded by A.
Cite
@article{arxiv.1103.0422,
title = {On Zaremba's Conjecture},
author = {Jean Bourgain and Alex Kontorovich},
journal= {arXiv preprint arXiv:1103.0422},
year = {2013}
}
Comments
Research announcement, 4 pages