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math.DS2015
Van der Corput's Difference Theorem: some modern developments
Vitaly Bergelson, Joel Moreira
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, t…
math.DS2015★ 2 cited
Measure preserving actions of affine semigroups and {x+y,xy} patterns
Vitaly Bergelson, Joel Moreira
Ergodic and combinatorial results obtained in [10] involved measure preserving actions of the affine group of a countable field . In this paper we develop a new…