ON SEMIGROUP ORBITS OF POLYNOMIALS AND MULTIPLICATIVE ORDERS

DOI10.1017/S000497272000009XzbMath1472.37093arXiv1910.08539OpenAlexW3008804610MaRDI QIDQ5138951

Jorge Mello

Publication date: 4 December 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08539

zbMATH Keywords

arithmetic dynamicspolynomial mappingssemigroup orbits

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Finite ground fields in algebraic geometry (14G15) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (2)

On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields ⋮ Order of torsion for reduction of linearly independent points for a family of Drinfeld modules

Cites Work

• Unlikely intersections over finite fields: polynomial orbits in small subgroups
• On quantitative estimates for quasiintegral points in orbits of semigroups of rational maps
• Orbits of Algebraic Dynamical Systems in Subgroups and Subfields
• MULTIPLICATIVE ORDERS IN ORBITS OF POLYNOMIALS OVER FINITE FIELDS
• On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics

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