Level curves of rational functions and unimodular points on rational curves

DOI10.1090/proc/14928zbMath1455.11055arXiv1805.02913OpenAlexW2991139563WikidataQ126768318 ScholiaQ126768318MaRDI QIDQ5221328

Fedor Pakovitch, Igor E. Shparlinski

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1805.02913

zbMATH Keywords

Blaschke productAilon and Rudnick theoremunimodular points

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Exponential Diophantine equations (11D61) Blaschke products (30J10)

Related Items (5)

Rationality of meromorphic functions between real algebraic sets in the plane ⋮ On the Skolem problem and some related questions for parametric families of linear recurrence sequences ⋮ On a problem of Lang for matrix polynomials ⋮ On Pisot's \(d\)-th root conjecture for function fields and related GCD estimates ⋮ Generalized greatest common divisors for orbits under rational functions

Cites Work

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• Rational algebraic curves. A computer algebra approach
• Greatest common divisors of iterates of polynomials
• Division points on curves
• Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
• GCD Bounds for Analytic Functions
• Torsion points on curves and common divisors of a^k-1 and b^k-1

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