Partial quotients and representation of rational numbers
Number Theory
2012-08-17 v1
Abstract
It is shown that there is an absolute constant such that any rational , admits a representation as a finite sum where and denotes the sequence of partial quotients of .
Cite
@article{arxiv.1208.3402,
title = {Partial quotients and representation of rational numbers},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1208.3402},
year = {2012}
}