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math.CO2014
A characterization of functions with vanishing averages over products of disjoint sets
Hamed Hatami, Pooya Hatami, Yaqiao Li
Given , we characterize all integrable functions satisfying for any collection of disjoint…
math.NT2014
General systems of linear forms: equidistribution and true complexity
Hamed Hatami, Pooya Hatami, Shachar Lovett
The densities of small linear structures (such as arithmetic progressions) in subsets of Abelian groups can be expressed as certain analytic averages involving linear forms. Higher…