An improved estimate on sums of product sets

Details An improved estimate on sums of product sets An improved estimate on sums of product sets

2008-05-17

arxiv.org/abs/0805.2696v1

Mathematics

Combinatorics

4 pages

Scientific paper

In a recent paper \cite{Gl} A. Glibichuk proved that if $A,B$ are subsets of
an arbitrary finite filed $\F_q$, such that $|A||B|>q$, then $16AB = \F_q$. We
improve this to $10AB = \F_q.$

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