On effective \(\epsilon\)-integrality in orbits of rational maps over function fields and multiplicative dependence

DOI10.1007/s40879-023-00709-xarXiv2012.01844OpenAlexW3106749023MaRDI QIDQ6146100

Jorge Mello

Publication date: 10 January 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01844

zbMATH Keywords

arithmetic dynamicsquantitative estimatesintegral points on orbits

Mathematics Subject Classification ID

Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over global ground fields (37P15)

Cites Work

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• A HASSE PRINCIPLE FOR PERIODIC POINTS
• Integral orbits over function fields
• A finiteness theorem for canonical heights attached to rational maps over function fields
• Uniform bounds for the number of solutions to Yⁿ = f(X)
• Multiplicative Dependence Among Iterated Values of Rational Functions Modulo Finitely Generated Groups
• Effective results for Diophantine equations over finitely generated domains

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