Solymosi's multiplicative energy bound for complex numbers

• DOI: 10.48550/arxiv.0812.1454
• Publication Date: 2008-01-01
• Authors: Jones, Tim; Rudnev, Misha
• Keywords: 68R05, 11B75; FOS: Mathematics; Mathematics - Combinatorics; 0102 computer and information sciences; Combinatorics (math.CO); 01 natural sciences

This paper was withdrawn by the authors, after L.Li pointed out that the proof had an error. The claim of the paper in question was given a correct proof in the work "New sum-product type estimates", SIAM J. Discrete. Math. 27 (2013), no.2, 873--990, by Konyagin and Rudnev<br/>We extend the recent Solymosi's sum-product estimate for reals to the complex case.<br/>