Raphael Renya, Steven B. Damelin
Abstract
We investigate a class of complex-valued polynomials known as the Littlewood polynomials. These are polynomials with coefficients of $\pm 1$ of an arbitrary degree. The distribution of the roots of these polynomials has an interesting structure. We study the algebraic structure of the space of Littlewood polynomials and its zero sets.
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We investigate a class of complex-valued polynomials known as the Littlewood polynomials. These are polynomials with coefficients of $\pm 1$ of an arbitrary degree. The distribution of the roots of these polynomials has an interesting structure. We study the algebraic structure of the space of Littlewood polynomials and its zero sets.
Key concepts: Discrete orthogonal polynomials, Difference polynomials, Mathematics, Classical orthogonal polynomials, Macdonald polynomials, Orthogonal polynomials, Wilson polynomials, Gegenbauer polynomials