Equidistribution of Zeros of Polynomials

DOI10.1080/00029890.2019.1546078zbMath1409.42003arXiv1802.06506OpenAlexW2962820443MaRDI QIDQ4628418

Kannan Soundararajan

Publication date: 13 March 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.06506

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (10)

Equidistribution of zeros of some polynomials related to cyclic functions ⋮ On the arguments of the roots of the generalized Fibonacci polynomial ⋮ Lower bounds for Mahler-type measures of polynomials ⋮ Unnamed Item ⋮ Recent Progress in the Study of Polynomials with Constrained Coefficients ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ Hilbert transforms and the equidistribution of zeros of polynomials ⋮ On the Multiplicity of the Zeros of Polynomials with Constrained Coefficients ⋮ Incomplete beta polynomials ⋮ Central limit theorems from the roots of probability generating functions

Cites Work

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• On the distribution of the roots of polynomials
• Zeros of polynomials with \(0, 1\) coefficients
• Limit distribution of small points on algebraic tori
• Zeros of Fekete polynomials
• An improvement of the Erdős-Turán theorem on the distribution of zeros of polynomials
• On the distribution of roots of polynomials
• Sequences of analytic functions and their zeros
• The Mahler measure of algebraic numbers: a survey
• The zeros of random polynomials cluster uniformly near the unit circle
• THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL

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