Dynamical Systems and Uniform Distribution of Sequences

Manfred G. Madritsch () and Robert F. Tichy ()
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Manfred G. Madritsch: Université de Lorraine, Institut Elie Cartan de Lorraine
Robert F. Tichy: Graz University of Technology, Department for Analysis and Number Theory

A chapter in From Arithmetic to Zeta-Functions, 2016, pp 263-276 from Springer

Abstract: 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.

Keywords: Dynamical systems; Uniform distribution; van der Corput set; Primary 11J71; Secondary 11K38 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28203-9_17

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DOI: 10.1007/978-3-319-28203-9_17

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