A geometrical approach to measure irrationality
Number Theory
2017-01-30 v2
Abstract
We present a geometric way of describing the irrationality of a number using the area of a circular sector . We establish a connection between this and the continued fraction expansion of the number, and prove bounds for as by describing the asymptotic behavior of the ratios of the denominators of the convergents.
Keywords
Cite
@article{arxiv.1511.09037,
title = {A geometrical approach to measure irrationality},
author = {Pedro Morales-Almazan},
journal= {arXiv preprint arXiv:1511.09037},
year = {2017}
}