Abstract
It is proved that for any two subsets A and B of an arbitrary finite field $ \mathbb{F}_q $Fqsuch that |A||B| > q, the identity 10AB = $ \mathbb{F}_q $Fqholds. Under the assumption |A||B| ⩾2q, this improves to 8AB = $ \mathbb{F}_q $Fq.
| Translated title of the contribution | On additive properties of product sets in an arbitrary finite field |
|---|---|
| Original language | English |
| Pages (from-to) | 159 - 170 |
| Number of pages | 12 |
| Journal | Journal d'Analyse Mathématique |
| Volume | 108 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - May 2009 |