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arxiv: 0805.2696 · v1 · submitted 2008-05-17 · 🧮 math.CO

An improved estimate on sums of product sets

classification 🧮 math.CO
keywords arbitraryciteestimatefiledfiniteglibichukimproveimproved
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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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