2017
Том 69
№ 6

All Issues

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

Xue Boqing


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.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 9, pp 1408-1413.

Citation Example: Xue Boqing A Note on Solymosi’s Sum-Product Estimate for Ordered Fields // Ukr. Mat. Zh. - 2014. - 66, № 9. - pp. 1257–1261.