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Upper Bounds on the Cardinality of Higher Sumsets

Published 26 Jan 2011 in math.CO and math.NT | (1101.5001v4)

Abstract: Let A and B be finite sets in a commutative group. We bound |A+hB| in terms of |A|, |A+B| and h. We provide a submultiplicative upper bound that improves on the existing bound of Imre Ruzsa by inserting a factor that decreases with h.

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Authors (1)

  1. Giorgis Petridis 

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