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Orbits of Algebraic Dynamical Systems in Subgroups and Subfields

In: Number Theory – Diophantine Problems, Uniform Distribution and Applications

Author

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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)

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 ¯ ∗ $$\overline{\mathbb{Q}}^{{\ast}}$$ .

Suggested Citation

  • Alina Ostafe & Igor E. Shparlinski, 2017. "Orbits of Algebraic Dynamical Systems in Subgroups and Subfields," Springer Books, in: Christian Elsholtz & Peter Grabner (ed.), Number Theory – Diophantine Problems, Uniform Distribution and Applications, pages 347-368, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-55357-3_18
    DOI: 10.1007/978-3-319-55357-3_18
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