Geodesic
Upper bounds on the cardinality of higher sumsets
Giorgis Petridis1
1 Department 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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. 
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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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