Polynomial iteration in characteristic \(p\)

DOI10.1016/j.jfa.2012.08.018zbMath1260.37065OpenAlexW2023437948MaRDI QIDQ694757

Mei-Chu Chang

Publication date: 13 December 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.08.018

zbMATH Keywords

exponential sumsorbitsdynamical systemadditive combinatorics

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35)

Related Items (4)

Points on curves in small boxes and applications ⋮ Groups generated by iterations of polynomials over finite fields ⋮ Unlikely intersections over finite fields: polynomial orbits in small subgroups ⋮ Polynomial values in affine subspaces of finite fields

Cites Work

• Points on curves in small boxes and applications
• Factorization in generalized arithmetic progressions and application to the Erdős-Szemerédi sum-product problems
• On the concentration of points of polynomial maps and applications
• Effective Bezout identities in \({\mathbb{Q}}[z_ 1,\dots ,z_ n\)]
• Expansions of quadratic maps in prime fields
• EXPANSION OF ORBITS OF SOME DYNAMICAL SYSTEMS OVER FINITE FIELDS
• Preperiodic points of polynomials over global fields

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