An \(abc\) theorem on the disk

DOI10.1016/j.crma.2010.10.030zbMath1211.30003OpenAlexW2063644687MaRDI QIDQ616728

Konstantin M. Dyakonov

Publication date: 12 January 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.030

zbMATH Keywords

functional equationWronskian\textit{abc} theorem for analytic functionsnumber of zeros of a polynomialradical of a Blaschke product

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Higher degree equations; Fermat's equation (11D41) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10) Blaschke products (30J10)

Related Items (3)

Wronskians and deep zeros of holomorphic functions ⋮ On the singular factor of a linear combination of holomorphic functions ⋮ Zeros of analytic functions, with or without multiplicities

Cites Work

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• A representation formula for the Dirichlet integral
• Old and new conjectured diophantine inequalities
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• THE STRENGTH OF CARTAN'S VERSION OF NEVANLINNA THEORY

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