On the Structure of the Littlewood Polynomials and their Zero Sets

Raphael Reyna; Steven Damelin

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arXiv · 1504.08058

On the Structure of the Littlewood Polynomials and their Zero Sets

Raphael Reyna·Steven Damelin

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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.

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Raphael Reyna, Steven Damelin. 2015-04-30. On the Structure of the Littlewood Polynomials and their Zero Sets. https://arxiv.org/abs/1504.08058

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