Note on the sumset of squares
Abstract
It is proved that for any non-empty finite subset Q of the square numbers, |Q+Q|≥ C'|Q|( |Q|)1/3+o(1) . This result essentially is proved -- with the same tools -- by Mei-Chu Chang. See in J. Funct. Anal. 207 (2004), no 2, 444-460. So the author will withdraw this ArXiv file.
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