On the Structure of the Littlewood Polynomials and their Zero Sets
Complex Variables
2016-04-22 v4
Abstract
In fractal geometry, the main objects of study have been geometric objects with a global dimension that need not be integer valued. More recently, locally fractal objects, ones in which the dimension is a local property rather than a global one, have become of interest. We explore one such object, the zero set of Littlewood polynomials, its connection to more traditional fractal objects, and develop a method for computing local approximations.
Keywords
Cite
@article{arxiv.1504.08058,
title = {On the Structure of the Littlewood Polynomials and their Zero Sets},
author = {Raphael Reyna and Steven Damelin},
journal= {arXiv preprint arXiv:1504.08058},
year = {2016}
}
Comments
This paper replaces an earlier version titled "On the Fascinating Structure of the Littlewood Polynomials and their Zero Sets". This paper has been submitted for consideration for publication to Mathematics Magazine