Combinatorics
New results on the Erdös–Szemerédi sum-product problems
[Nouveaux résultats sur les problèmes sommes-produits d'Erdös et Szemerédi]
Comptes Rendus. Mathématique, Tome 336 (2003) no. 3, pp. 201-205

In this Note, we present several contributions (or solutions) to problems related to the sizes of sum sets and product sets of integers (or complex numbers), considered in [8]. We also introduce some new methods in this area of research.

Dans cette Note, nous présentons diverses contributions (ou solutions) à des questions concernant la taille d'ensembles somme et produit d'ensembles finis d'entiers (ou de nombres complexes), posées dans [8]. Nous introduisons également quelques méthodes nouvelles dans ce domaine de recherche.

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DOI : 10.1016/S1631-073X(03)00018-9

Chang, Mei-Chu 1

1 University of California at Riverside, Department of Mathematics, Riverside, CA 92521, USA
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Chang, Mei-Chu. New results on the Erdös–Szemerédi sum-product problems. Comptes Rendus. Mathématique, Tome 336 (2003) no. 3, pp. 201-205. doi: 10.1016/S1631-073X(03)00018-9

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[7] G. Elekes, J. Ruzsa, Few sums, many products, Preprint

[8] P. Erdös, E. Szemerédi, On sums and products of integers, in: P. Erdös, L. Alpàr, G. Haláz (Eds.), Stud. Pure Math., pp. 215–218

[9] Laczkovich, I. Ruzsa, Preprint

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