On additive properties of product sets in an arbitrary finite field

Autor:	Misha Rudnev, ALexey Glibichuk
Rok vydání:	2009
Předmět:	Combinatorics Discrete mathematics Identity (mathematics) Partial differential equation Finite field Functional analysis General Mathematics Product (mathematics) Analysis Mathematics
Zdroj:	Journal d'Analyse Mathématique. 108:159-170
ISSN:	1565-8538 0021-7670
DOI:	10.1007/s11854-009-0021-4
Popis:	It is proved that for any two subsets A and B of an arbitrary finite field \( \mathbb{F}_q \) such that |A||B| > q, the identity 10AB = \( \mathbb{F}_q \) holds. Under the assumption |A||B| ⩾2q, this improves to 8AB = \( \mathbb{F}_q \).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9035bf27389dc36fb9e55475d3d695dd https://doi.org/10.1007/s11854-009-0021-4 Zobrazit plný text záznamu Full text from SpringerLink