Number of components of polynomial lemniscates: a problem of Erdös, Herzog, and Piranian

DOI10.1016/J.JMAA.2024.128571zbMATH Open1548.30017MaRDI QIDQ6607333

Subhajit Ghosh, Koushik Ramachandran

Publication date: 18 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

zerospolynomialslogarithmic capacity

Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85) Potentials and capacities on other spaces (31C15) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• On the derivative of a polynomial
• Sendov's conjecture for sufficiently-high-degree polynomials
• Inradius of random lemniscates

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