Upper Bounds on the Cardinality of Higher Sumsets

Details Upper Bounds on the Cardinality of Higher Sumsets Upper Bounds on the Cardinality of Higher Sumsets

2011-01-26

arxiv.org/abs/1101.5001v2

Mathematics

Combinatorics

25 pages

Scientific paper

Let A and B be finite sets in an Abelian group. We bound |A+hB| in terms of
|A|, |A+B| and h. Following on from the work of Imre Ruzsa, we improve the
existing bounds by inserting a factor that decreases with h.

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