On donne une preuve simple que pour tout ensemble fini de nombres complexes , la taille de l’ensemble de sommes ou celle de l’ensemble de produits est toujours grande.
We give a simple argument that for any finite set of complex numbers , the size of the the sum-set, , or the product-set, , is always large.
@article{JTNB_2005__17_3_921_0, author = {Solymosi, J\'ozsef}, 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}, mrnumber = {2212132}, zbl = {05016594}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.527/} }
TY - JOUR AU - Solymosi, József TI - On sum-sets and product-sets of complex numbers JO - Journal de Théorie des Nombres de Bordeaux PY - 2005 DA - 2005/// SP - 921 EP - 924 VL - 17 IS - 3 PB - Université Bordeaux 1 UR - http://www.numdam.org/articles/10.5802/jtnb.527/ UR - https://www.ams.org/mathscinet-getitem?mr=2212132 UR - https://zbmath.org/?q=an%3A05016594 UR - https://doi.org/10.5802/jtnb.527 DO - 10.5802/jtnb.527 LA - en ID - JTNB_2005__17_3_921_0 ER -
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. http://www.numdam.org/articles/10.5802/jtnb.527/
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