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Dynamical Systems and Uniform Distribution of Sequences

In: From Arithmetic to Zeta-Functions

Author

Listed:
  • Manfred G. Madritsch

    (Université de Lorraine, Institut Elie Cartan de Lorraine
    Institut Elie Cartan de Lorraine, CNRS)

  • Robert F. Tichy

    (Graz University of Technology, Department for Analysis and Number Theory)

Abstract

We give a survey on classical and recent applications of dynamical systems to number theoretic problems. In particular, we focus on normal numbers, also including computational aspects. The main result is a sufficient condition for establishing multidimensional van der Corput sets. This condition is applied to various examples.

Suggested Citation

  • Manfred G. Madritsch & Robert F. Tichy, 2016. "Dynamical Systems and Uniform Distribution of Sequences," Springer Books, in: Jürgen Sander & Jörn Steuding & Rasa Steuding (ed.), From Arithmetic to Zeta-Functions, pages 263-276, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-28203-9_17
    DOI: 10.1007/978-3-319-28203-9_17
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