Orbits of Algebraic Dynamical Systems in Subgroups and Subfields

DOI10.1007/978-3-319-55357-3_18zbMath1393.37113OpenAlexW2618431522MaRDI QIDQ4581334

Alina Ostafe, Igor E. Shparlinski

Publication date: 17 August 2018

Published in: Number Theory – Diophantine Problems, Uniform Distribution and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-55357-3_18

zbMATH Keywords

polynomial dynamicsWeil heightdivision group

Mathematics Subject Classification ID

Varieties over global fields (11G35) Varieties over finite and local fields (11G25) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Solving polynomial systems; resultants (13P15) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30) Dynamical systems over finite ground fields (37P25)

Related Items (7)

Multiplicative Dependence Among Iterated Values of Rational Functions Modulo Finitely Generated Groups ⋮ ON SEMIGROUP ORBITS OF POLYNOMIALS AND MULTIPLICATIVE ORDERS ⋮ MULTIPLICATIVE ORDERS IN ORBITS OF POLYNOMIALS OVER FINITE FIELDS ⋮ Unlikely intersections over finite fields: polynomial orbits in small subgroups ⋮ On multiplicative dependence of values of rational functions and a generalization of the Northcott theorem ⋮ On semigroup orbits of polynomials in multiplicative subgroups ⋮ On intersections of polynomial semigroups orbits with plane lines

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