On some extensions of the Ailon-Rudnick theorem

DOI10.1007/s00605-016-0911-3zbMath1355.11103arXiv1505.03957OpenAlexW319287460MaRDI QIDQ328599

Alina Ostafe

Publication date: 20 October 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03957

zbMATH Keywords

greatest common divisorpolynomialsAilon-Rudnick theorem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Exponential Diophantine equations (11D61)

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Greatest common divisors of iterates of polynomials ⋮ On the Skolem problem and some related questions for parametric families of linear recurrence sequences ⋮ On a problem of Lang for matrix polynomials ⋮ Greatest common divisor results on semiabelian varieties and a conjecture of Silverman ⋮ Greatest common divisors of analytic functions and Nevanlinna theory on algebraic tori ⋮ On Pisot's \(d\)-th root conjecture for function fields and related GCD estimates ⋮ Generalized greatest common divisors for orbits under rational functions ⋮ Level curves of rational functions and unimodular points on rational curves ⋮ Binary polynomial power sums vanishing at roots of unity

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