Orbits of Algebraic Dynamical Systems in Subgroups and Subfields

Alina Ostafe () and Igor E. Shparlinski ()
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Alina Ostafe: University of New South Wales, School of Mathematics and Statistics
Igor E. Shparlinski: University of New South Wales, School of Mathematics and Statistics

A chapter in Number Theory – Diophantine Problems, Uniform Distribution and Applications, 2017, pp 347-368 from Springer

Abstract: Abstract We study intersections of orbits in polynomial dynamics with multiplicative subgroups and subfields of arbitrary fields of characteristic zero, as well as with sets of points that are close with respect to the Weil height to division groups of finitely generated groups of ℚ ¯ ∗ $$\overline{\mathbb{Q}}^{{\ast}}$$ .

Keywords: Primary 37P05; Secondary 11G25; 11G35; 13P15; 37P25 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-55357-3_18

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DOI: 10.1007/978-3-319-55357-3_18

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