Sums and differences of finite sets

Functiones et Approximatio, Commentarii Mathematici

Volumn 37, Issue 1, 2007, Pages 175-186

  Gyarmati, Katalin ^a   Hennecart, Francois ^b   Ruzsa, Imre Z ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

^b UNIVERSITÉ JEAN MONNET   (France)

Author keywords

Difierence set; Pl nnecke inequality; Sumset

Indexed keywords

EID: 84983043962     PISSN: 02086573     EISSN: 20809433     Source Type: Journal    
DOI: 10.7169/facm/1229618749     Document Type: Article

References (7)

1. G.A. Freiman, W.P. Pigarev, The relation between the invariants R and T, (Russian), Kalinin. Gos. Univ. Moscow (1973), 172-174.
2. F. Hennecart, G. Robert, A. Yudin, On the number of sums and differences. In Structure theory of set addition. Astérisque No. 258 (1999), 173-178.
3. I.Z. Ruzsa, On the cardinality of A + A and A-A. In Coll. Math. Soc. Bo-lyai 18, Combinatorics (Keszthely 1976), Akadémiai Kiadó (Budapest 1979), 933-938.
4. I.Z. Ruzsa, An application of graph theory to additive number theory. Scien-tia 3 (1989), 97-109.
5. I.Z. Ruzsa, On the number of sums and differences. Acta Math. Hungar. 59 (1992), 439-447.
6. I.Z. Ruzsa, Sums of finite sets. In Number theory (New York, 1991-1995), 281-293, Springer, New York, 1996.
7. I.Z. Ruzsa, Cardinality questions about sumsets, (to appear).