Geodesic
Upper bounds on the cardinality of higher sumsets
Giorgis Petridis1
1Department of Mathematics 915 Hylan Building University of Rochester RC Box 270138 Rochester NY 14627, U.S.A.
Acta Arithmetica, Tome 158 (2013) no. 4, pp. 299-319

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DOI

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 $h$.
DOI : 10.4064/aa158-4-1
Keywords: finite sets commutative group bound terms provide submultiplicative upper bound improves existing bound imre ruzsa inserting factor decreases

Giorgis Petridis  1

1 Department of Mathematics 915 Hylan Building University of Rochester RC Box 270138 Rochester NY 14627, U.S.A. 
Giorgis Petridis. Upper bounds on the cardinality of higher sumsets. Acta Arithmetica, Tome 158 (2013) no. 4, pp. 299-319. doi: 10.4064/aa158-4-1
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