On additive properties of product sets in an arbitrary finite field |
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| Authors: | ALexey Glibichuk Misha Rudnev |
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| Affiliation: | (1) Department of Civil Engineering, Democritus University of Thrace, Xanthi, Greece |
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| Abstract: | It is proved that for any two subsets A and B of an arbitrary finite field $
mathbb{F}_q
$
mathbb{F}_q
such that |A||B| > q, the identity 10AB = $
mathbb{F}_q
$
mathbb{F}_q
holds. Under the assumption |A||B| ⩾2q, this improves to 8AB = $
mathbb{F}_q
$
mathbb{F}_q
. |
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| Keywords: | |
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