Abstract
Abstract. We prove some results concerning convolutions, additive energies, and sumsets of convex sets and their generalizations. In particular, we show that if a set A = {a1, …,an}< ⊆ R has the property that for every fixed 1 ≤ d < n; all differences ai - ai-d, d < i < n; are distinct, then |A + A| ≫ |A|3=2+c for a constant c > 0:
Publisher
Canadian Mathematical Society
Cited by
7 articles.
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