Upper bounds on the cardinality of higher sumsets
Giorgis Petridis
Acta Arithmetica, Tome 161 (2013), p. 299-319 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279629 
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     title = {Upper bounds on the cardinality of higher sumsets},
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Giorgis Petridis. Upper bounds on the cardinality of higher sumsets. Acta Arithmetica, Tome 161 (2013) pp. 299-319. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa158-4-1/