An analogue of continued fractions in number theory for Nevanlinna theory

DOI10.1090/S0002-9947-04-03709-2zbMath1065.30030OpenAlexW1957815001MaRDI QIDQ4811902

Zhuan Ye

Publication date: 6 September 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03709-2

zbMATH Keywords

Nevanlinna theorymeromorphic functionsgrowth estimates

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Continued fractions and generalizations (11J70) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02)

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
• A sharp form of Nevanlinna's second fundamental theorem
• Schmidt's subspace theorem with moving targets
• Sharp forms of Nevanlinna's error terms
• The error term in Nevanlinna's inequality
• On Nevanlinna's second main theorem in projective space
• Second Main Theorem of Nevalinna Theory for Nonequidimensional Meromorphic Maps
• The error term in Nevanlinna theory. II
• A Sharp Form of the Lemma on the Logarithmic Derivative

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