On sum-sets and product-sets of complex numbers
Solymosi, József1
1 Department of Mathematics, University of British Columbia 1984 Mathematics Road, Vancouver, Colombie-Britannique, Canada V6T 1Z2
Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 3, pp. 921-924.

On donne une preuve simple que pour tout ensemble fini de nombres complexes A, la taille de l’ensemble de sommes A+A ou celle de l’ensemble de produits A·A est toujours grande.

We give a simple argument that for any finite set of complex numbers A, the size of the the sum-set, A+A, or the product-set, A·A, is always large.

DOI : 10.5802/jtnb.527
Solymosi, József 1

1 Department of Mathematics, University of British Columbia 1984 Mathematics Road, Vancouver, Colombie-Britannique, Canada V6T 1Z2 
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Solymosi, József. On sum-sets and product-sets of complex numbers. Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 3, pp. 921-924. doi : 10.5802/jtnb.527. https://www.numdam.org/articles/10.5802/jtnb.527/

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