Zeros of analytic functions, with or without multiplicities

DOI10.1007/s00208-011-0655-2zbMath1267.30016arXiv1109.1772OpenAlexW2034650889MaRDI QIDQ662403

Konstantin M. Dyakonov

Publication date: 22 February 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1772

zbMATH Keywords

\(abc\) theoremMason-Stothers theoremRiesz-Nevanlinna factorization

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) Higher degree equations; Fermat's equation (11D41) Polynomials and rational functions of one complex variable (30C10)

Related Items (4)

Wronskians and deep zeros of holomorphic functions ⋮ On the singular factor of a linear combination of holomorphic functions ⋮ Two problems on coinvariant subspaces of the shift operator ⋮ A Stothers-Mason theorem with a difference radical

Cites Work

• An \(abc\) theorem on the disk
• A representation formula for the Dirichlet integral
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• Equivalent norms on Lipschitz-type spaces of holomorphic functions
• Holomorphic functions and quasiconformal mappings with smooth moduli
• On Nevanlinna's second main theorem in projective space
• Old and new conjectured diophantine inequalities
• Vanishing sums in function fields
• POLYNOMIAL IDENTITIES AND HAUPTMODULN
• Division and Multiplication by Inner Functions and Embedding Theorems for Star-Invariant Subspaces
• Extension of a theorem of mason
• A note on the abc conjecture
• THE STRENGTH OF CARTAN'S VERSION OF NEVANLINNA THEORY
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