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Polynomials with zeros and small norm on curves

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Publication:2845869
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DOI10.1090/S0002-9939-2012-11223-7zbMath1276.41007MaRDI QIDQ2845869

Vilmos Totik

Publication date: 3 September 2013

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


zbMATH Keywords

zerospolynomialsequilibrium measuresmall supremum norm


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)


Related Items

Multiplicity of zeros of polynomials



Cites Work

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  • Polynomials with prescribed zeros on an analytic curve
  • Sharpening of Hilbert's lemniscate theorem
  • On polynomials with a prescribed zero on a quasicircle
  • Asymptotics of Christoffel functions on arcs and curves
  • An improvement of the Erdős-Turán theorem on the distribution of zeros of polynomials
  • Christoffel functions on curves and domains
  • Inequalities for polynomials with a prescribed zero
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