Exponential sum estimates over a subgroup in an arbitrary finite field
Autor: | A. Glibichuk, J. Bourgain |
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Rok vydání: | 2011 |
Předmět: | |
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 |
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