Self-intersections of Laurent polynomials and the density of Jordan curves

DOI10.1090/proc/14594OpenAlexW2963838218MaRDI QIDQ5055614

Sergeĭ Ivanovich Kalmykov, Leonid V. Kovalev

Publication date: 9 December 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02468

zbMATH Keywords

Laurent polynomialstrigonometric polynomialsJordan curvesself-intersections

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 an inequality of E. Heinz
• Fourier series of circle embeddings
• Discriminants, resultants, and multidimensional determinants
• Some Consequences of the Algebraic Nature of p(e iθ
• On the Self-Intersections of the Image of the Unit Circle Under a Polynomial Mapping

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