Polynomials Whose Zeros Are Powers of a Given Polynomial’s Zeros

DOI10.1080/00029890.2022.2011568zbMath1486.30018OpenAlexW4212933773MaRDI QIDQ5067483

Aaron Melman

Publication date: 1 April 2022

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

Full work available at URL: https://doi.org/10.1080/00029890.2022.2011568

zbMATH Keywords

polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Uses Software

• NLEVP

Cites Work

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• A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration
• Raising the Roots
• NLEVP
• Dandelin, Lobacevskii, or Graeffe
• A Generalization of a Theorem of Bôcher
• Zero-Free Regions of Polynomials
• Polynomials

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