A Note on Solymosi’s Sum-Product Estimate for Ordered Fields

  • Boqing Xue

Abstract

It is proved that Solymosi’s sum-product estimate max{|A + A|, |A · A|} ≫ |A|4/3/(log |A|)1/3 holds for any finite set A in an ordered field F.
Published
25.09.2014
How to Cite
XueB. “A Note on Solymosi’s Sum-Product Estimate for Ordered Fields”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 9, Sept. 2014, pp. 1257–1261, http://umj.imath.kiev.ua/index.php/umj/article/view/2216.
Section
Short communications