The number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set

2016/02/06 by Erdelyi, Tamas · 1 citation
#11C08 #26C10 #30C15 #41A17 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.02284

Abstract

We study the number of real zeros of trigonometric polynomials in a period and the number of zeros of self-reciprocal algebraic polynomials on the unit circle under the assumption that their coefficients are in a fixed finite set of real numbers.

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