This article is cited in 24 papers

Sums and products of sets and estimates of rational trigonometric sums in fields of prime order

M. Z. Garaev

National Autonomous University of Mexico, Institute of Mathematics

Abstract: This paper is a survey of main results on the problem of sums and products of sets in fields of prime order and their applications to estimates of rational trigonometric sums.
Bibliography: 85 titles.

Keywords: sum set, product set, field of prime order, trigonometric sums.

UDC: 511+519.1

MSC: Primary 11-02; Secondary 11L03, 11A07, 11B13, 11B75, 11T23, 11T24

Received: 14.05.2009

DOI: 10.4213/rm9367

 English version: Russian Mathematical Surveys, 2010, 65:4, 599–658

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