On sum-sets and product-sets of complex numbers
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.

@article{JTNB_2005__17_3_921_0,
     author = {J\'ozsef Solymosi},
     title = {On sum-sets and product-sets of complex numbers},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {921--924},
     publisher = {Universit\'e Bordeaux 1},
     volume = {17},
     number = {3},
     year = {2005},
     doi = {10.5802/jtnb.527},
     zbl = {05016594},
     mrnumber = {2212132},
     language = {en},
     url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.527/}
}
József Solymosi. 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://jtnb.centre-mersenne.org/articles/10.5802/jtnb.527/

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