Upper bounds on the cardinality of higher sumsets

• Autorzy: Giorgis Petridis
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11P99: None of the above, but in this section
• 11B30: Arithmetic combinatorics; higher degree uniformity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 158
• Numer: 4
• Strony: 299-319

Daty

wydano

2013

Twórcy

autor

Giorgis Petridis

• Department of Mathematics, 915 Hylan Building, University of Rochester, RC Box 270138, Rochester NY 14627, U.S.A.

Identyfikatory

DOI

10.4064/aa158-4-1