Additive properties of product sets in an arbitrary finite field

Details Additive properties of product sets in an arbitrary finite field Additive properties of product sets in an arbitrary finite field

2008-01-14

arxiv.org/abs/0801.2021v1

Mathematics

Number Theory

11 pages

Scientific paper

It is proved that for any two subsets $A$ and $B$ of an arbitrary finite
field $\Fq$ such that $|A||B|>q$ the identity $16AB=\Fq$ holds. Moreover, it is
established that for every subsets $X, Y\subset \Fq$ with the property
$|X||Y|\geqslant 2q$ the equality $8XY=\Fq$ holds.

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