A sharp form of Nevanlinna's second fundamental theorem

DOI10.1007/BF02100617zbMath0766.30025OpenAlexW2092105640MaRDI QIDQ1204249

Aimo Hinkkanen

Publication date: 3 March 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144005

zbMATH Keywords

error termsecond fundamental theorem

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (20)

An analogue of continued fractions in number theory for Nevanlinna theory ⋮ Sharp forms of Nevanlinna's error terms ⋮ Holomorphic curves with shift-invariant hyperplane preimages ⋮ A sharp form of Nevanlinna's Second Main Theorem of several complex variables ⋮ On Nevanlinna's second main theorem in projective space ⋮ Geometric thermodynamic formalism and real analyticity for meromorphic functions of finite order ⋮ A continuous transition from \(\mathcal{E} \)-sets to \(R\)-sets and beyond ⋮ A difference Picard theorem for meromorphic functions of several variables ⋮ The lemma of the logarithmic derivative for subharmonic functions ⋮ On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane ⋮ On Nevanlinna's error terms ⋮ Difference analogues of the second main theorem for meromorphic functions in several complex variables ⋮ NONDECREASING FUNCTIONS, EXCEPTIONAL SETS AND GENERALIZED BOREL LEMMAS ⋮ The Error Term of Holomorphic Mappings in Nevanlinna Theory ⋮ A linear homogeneous partial differential equation with entire solutions represented by Bessel polynomials ⋮ Approximation of real numbers with rational number sequences ⋮ A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables ⋮ Logarithmic difference lemma in several complex variables and partial difference equations ⋮ On the growth of the logarithmic derivative ⋮ The error term in Nevanlinna's inequality

Cites Work

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• Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better
• Diophantine approximations and value distribution theory
• The error term in Nevanlinna theory
• Topics in Nevanlinna theory
• On Nevanlinna's error terms
• On the Second Main Theorem of Nevanlinna Theory
• Transcendental numbers and diophantine approximations
• Rational approximations to algebraic numbers

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