GCD Bounds for Analytic Functions

DOI10.1093/imrn/rnw028zbMath1405.30024OpenAlexW2336608103MaRDI QIDQ4611862

Julie Tzu-Yueh Wang, Hector Pasten

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6f49f1a66f71c1b0af2b3d7fd84589bf9114c785

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Varieties over global fields (11G35) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97)

Related Items (11)

Greatest common divisors of integral points of numerically equivalent divisors ⋮ Quotient Problem For Entire Functions with Moving Targets ⋮ Upper bounds of GCD counting function for holomorphic maps ⋮ Divisibility of polynomials and degeneracy of integral points ⋮ Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori ⋮ Greatest common divisors and Vojta's conjecture for blowups of algebraic tori ⋮ Asymptotic gcd and divisible sequences for entire functions ⋮ Generalized greatest common divisors for orbits under rational functions ⋮ Level curves of rational functions and unimodular points on rational curves ⋮ Degeneracy theorems for two holomorphic curves in \(\mathbb{P}^n(\mathbb{C})\) sharing few hypersurfaces ⋮ The Quotient Problem for Entire Functions

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