Perfect powers In value sets and orbits of polynomials

MaRDI QIDQ2045876

Igor E. Shparlinski, Lukas Pottmeyer, Alina Ostafe

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12057

zbMATH Keywords

perfect powersarithmetic dynamics

Mathematics Subject Classification ID

Units and factorization (11R27) Heights (11G50) Dynamical systems over global ground fields (37P15)

Related Items (1)

Unlikely intersections over finite fields: polynomial orbits in small subgroups

Cites Work

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• Factorization of polynomials over finite fields
• An effective version of Belyi's theorem.
• On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem
• Periodic points on an algebraic variety
• Effective results for hyper- and superelliptic equations over number fields
• On the equation $y^m = P(x)$
• Powers in Orbits of Rational Functions: Cases of an Arithmetic Dynamical Mordell–Lang Conjecture

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