Roots of polynomials and umbilics of surfaces

DOI10.1007/s00025-023-02003-4zbMath1528.30002arXiv2204.13163OpenAlexW4386440469MaRDI QIDQ6078318

Brendan S. Guilfoyle, Wilhelm jun. Klingenberg

Publication date: 24 October 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.13163

zbMATH Keywords

complex polynomialszerosconvex surfaceumbilic pointself-inversive 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)

Cites Work

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• On the number of roots of self-inversive polynomials on the complex unit circle
• Evolving to non-round Weingarten spheres: integer linear Hopf flows
• On the location of zeros of polynomials
• On isolated umbilic points
• Self-inversive polynomials, curves, and codes
• A Generalization of a Theorem of Bôcher
• Algorithms for Classical Stability Problems
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
• Some Properties of Self-Inversive Polynomials
• Generalised Surfaces in R³
• An Indefinite Kähler Metric on the Space of Oriented Lines
• Zeros of Self-Inversive Polynomials
• On the location of the zeros of a polynomial

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