Van der Corput's difference theorem: Some modern developments

Vitaly Bergelson, Joel Moreira*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We discuss various forms of the classical van der Corput's difference theorem and explore applications to and connections with the theory of uniform distribution, ergodic theory, topological dynamics and combinatorics.

Original languageEnglish (US)
Pages (from-to)437-479
Number of pages43
JournalIndagationes Mathematicae
Issue number2
StatePublished - Mar 1 2016


  • Uniform distribution
  • Van der Corput difference theorem

ASJC Scopus subject areas

  • Mathematics(all)


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