Dynamical Systems and Uniform Distribution of Sequences View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2016

AUTHORS

Manfred G. Madritsch , Robert F. Tichy

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.

PAGES

263-276

References to SciGraph publications

  • 1978-09. Van der corput’s difference theorem in ISRAEL JOURNAL OF MATHEMATICS
  • 1987-06. Ruzsa’s problem on sets of recurrence in ISRAEL JOURNAL OF MATHEMATICS
  • 1978-03. On difference sets of sequences of integers. I in ACTA MATHEMATICA
  • 2005-12. Ergodic averaging sequences in JOURNAL D'ANALYSE MATHÉMATIQUE
  • 2014-04. Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤk in ISRAEL JOURNAL OF MATHEMATICS
  • 1982. An Introduction to Ergodic Theory in NONE
  • 1977-12. Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions in JOURNAL D'ANALYSE MATHÉMATIQUE
  • 1986-06. Ensembles Intersectifs et Récurrence de Poincaré in ISRAEL JOURNAL OF MATHEMATICS
  • 1978-09. On difference sets of sequences of integers. III in ACTA MATHEMATICA
  • 1997. Sequences, Discrepancies and Applications in NONE
  • Book

    TITLE

    From Arithmetic to Zeta-Functions

    ISBN

    978-3-319-28202-2
    978-3-319-28203-9

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-28203-9_17

    DOI

    http://dx.doi.org/10.1007/978-3-319-28203-9_17

    DIMENSIONS

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