Van der Corput's difference theorem: some modern developments

DOI10.1016/j.indag.2015.10.014zbMath1353.37011arXiv1510.07332OpenAlexW2962805688MaRDI QIDQ266154

Joel Moreira, Vitaly Bergelson

Publication date: 13 April 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07332

zbMATH Keywords

uniform distributionvan der Corput difference theorem

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05)

Related Items

Bohr neighborhoods in generalized difference sets ⋮ A dynamical proof of the van der Corput inequality ⋮ Some open problems on multiple ergodic averages ⋮ Polynomial ergodic averages for certain countable ring actions ⋮ Around the Danzer problem and the construction of dense forests ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ Equidistribution of continuous functions along monotone compact covers ⋮ Characters of algebraic groups over number fields ⋮ Van der Corput sets with respect to compact groups ⋮ MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS

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