A Note on Sumsets and Restricted Sumsets
Abstract
In this note we find the optimal lower bound for the size of the sumsets HA and H\,A over finite sets H, A of nonnegative integers, where HA = h∈ H hA and H\,A = h∈ H h\,A. We also find the underlying algebraic structure of the sets A and H for which the size of the sumsets HA and H\,A is minimum.
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