Van der Corput's difference theorem: Some modern developments

Vitaly Bergelson; Joel Moreira

doi:10.1016/j.indag.2015.10.014

Van der Corput's difference theorem: Some modern developments

Vitaly Bergelson, Joel Moreira^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	437-479
Number of pages	43
Journal	Indagationes Mathematicae
Volume	27
Issue number	2
DOIs	https://doi.org/10.1016/j.indag.2015.10.014
State	Published - Mar 1 2016

Keywords

Uniform distribution
Van der Corput difference theorem

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.indag.2015.10.014

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title = "Van der Corput's difference theorem: Some modern developments",

abstract = "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.",

keywords = "Uniform distribution, Van der Corput difference theorem",

author = "Vitaly Bergelson and Joel Moreira",

note = "Funding Information: The first author gratefully acknowledges the support of the NSF under grants DMS-1162073 and DMS-1500575 . Publisher Copyright: {\textcopyright} 2015 Royal Dutch Mathematical Society (KWG).",

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Van der Corput's difference theorem: Some modern developments

Abstract

Keywords

ASJC Scopus subject areas

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