Distribution of values of holomorphic functions on coverings and number-theoretic analogues

DOI10.1007/BF01459776zbMath0805.11077MaRDI QIDQ1327098

Klaus Langmann

Publication date: 17 January 1995

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

Full work available at URL: https://eudml.org/doc/165202

zbMATH Keywords

Picard theoremholomorphic functionsThue equationnorm form equationsHilbert's irreducibility theoremring of algebraic integersdivisor equationsfoliated holomorphic branched coveringfour- values theorem

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Picard-type theorems and generalizations for several complex variables (32H25) Multiplicative and norm form equations (11D57)

Related Items (3)

Finiteness results for Hilbert's irreducibility theorem ⋮ Symmetric Galois groups under specialization ⋮ Shared values of meromorphic functions on a compact Riemann surface

Cites Work

• On Thue's equation
• Norm form equations
• Exponential diophantine equations
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