Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set

DOI10.4064/aa190204-27-5zbMath1464.12003arXiv1702.05823OpenAlexW2981364555MaRDI QIDQ5207288

Tamás Erdélyi

Publication date: 19 December 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05823

zbMATH Keywords

trigonometric polynomialsign changesunimodular rootsself-reciprocal polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10)

Related Items (4)

On zeros of sums of cosines ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ Unnamed Item ⋮ Cosine polynomials with few zeros

This page was built for publication: Improved lower bound for the number of unimodular zeros of self-reciprocal polynomials with coefficients in a finite set