32 citations · 131 across the 20 of their papers we have counts for
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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…
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…
Large subsets of discrete hypersurfaces in contain arbitrarily many collinear points
Joel Moreira, Florian Karl Richter
In 1977 L.T. Ramsey showed that any sequence in with bounded gaps contains arbitrarily many collinear points. Thereafter, in 1980, C. Pomerance provided a density ve…
New polynomial and multidimensional extensions of classical partition results
Vitaly Bergelson, John H. Johnson, Joel Moreira
In the 1970s Deuber introduced the notion of -sets in and showed that these sets are partition regular and contain all linear partition regular configurations…