Exponential sum estimates over a subgroup in an arbitrary finite field

Autor:	A. Glibichuk, J. Bourgain
Rok vydání:	2011
Předmět:	Combinatorics Discrete mathematics Equidistributed sequence Partial differential equation Character (mathematics) Exponential sum Finite field General Mathematics Multiplicative function Field (mathematics) Constant (mathematics) Analysis Mathematics
Zdroj:	Journal d'Analyse Mathématique. 115:51-70
ISSN:	1565-8538 0021-7670
DOI:	10.1007/s11854-011-0023-x
Popis:	Let F q be the finite field consisting of q = p r elements and yy an additive character of the field F q . Take an arbitrary multiplicative subgroup H of size |H| > q C/(log log q) for some constant C > 0 not largely contained in any multiplicative shift of a subfield. We show that |Σ h∈H yy(h)| = o(|H|). This means that H is equidistributed in F q .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::86938e9fdcd3495cfda4f63dea686daa https://doi.org/10.1007/s11854-011-0023-x Zobrazit plný text záznamu Full text from SpringerLink