Roots with common tails
Number Theory
2015-09-01 v1
Abstract
Some cubic polynomials over the integers have three distinct real roots with continued fractions that all have the same common tail. We characterize the polynomials for which this happens, and then investigate the situation for other polynomials of low degree.
Cite
@article{arxiv.1508.07490,
title = {Roots with common tails},
author = {Alexandra Hobby and David Hobby},
journal= {arXiv preprint arXiv:1508.07490},
year = {2015}
}
Comments
13 pages, no figures