Solymosi's multiplicative energy bound for complex numbers
Combinatorics
2014-07-03 v4
Abstract
We extend the recent Solymosi's sum-product estimate for reals to the complex case.
Cite
@article{arxiv.0812.1454,
title = {Solymosi's multiplicative energy bound for complex numbers},
author = {Tim Jones and Misha Rudnev},
journal= {arXiv preprint arXiv:0812.1454},
year = {2014}
}
Comments
This paper was withdrawn by the authors, after L.Li pointed out that the proof had an error.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