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On the distribution of zeros of monic polynomials with a given uniform norm on a quasidisk
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Vladimir V. Andrievskii
Published/Copyright:
April 11, 2011
Abstract
For a monic polynomial with a given uniform norm on an arbitrary quasidisk a “detailed one-sided” version of the Erdős–Turán-type theorem on the distribution of its zeros is proved. In the case of the unit disk it coincides (up to inessential constants) with a recent result by Erdélyi.
Published Online: 2011-04-11
Published in Print: 2011-04
© by Oldenbourg Wissenschaftsverlag, Eichstätt, Germany
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Articles in the same Issue
- A Brunn–Minkowski inequality for a Finsler–Laplacian
- Irrationality of certain infinite series II
- Elastic catenoids
- On the distribution of zeros of monic polynomials with a given uniform norm on a quasidisk
- Universal approximation by translates of fundamental solutions of elliptic equations
- Exclusion of boundary branch points for minimal surfaces
- On the uniform convergence of double sine integrals over –ℝ 2+
Keywords for this article
polynomials;
zeros of a polynomials;
quasidisks;
conformal invariants;
harmonic measure
Articles in the same Issue
- A Brunn–Minkowski inequality for a Finsler–Laplacian
- Irrationality of certain infinite series II
- Elastic catenoids
- On the distribution of zeros of monic polynomials with a given uniform norm on a quasidisk
- Universal approximation by translates of fundamental solutions of elliptic equations
- Exclusion of boundary branch points for minimal surfaces
- On the uniform convergence of double sine integrals over –ℝ 2+
