Published September 16, 2010 | Version v1
Journal article Metadata-only

Fourier analysis in combinatorial number theory

Creators

  • 1. M. V. Lomonosov Moscow State University, Moscow (Russian Federation)

Description

In this survey applications of harmonic analysis to combinatorial number theory are considered. Discussion topics include classical problems of additive combinatorics, colouring problems, higher-order Fourier analysis, theorems about sets of large trigonometric sums, results on estimates for trigonometric sums over subgroups, and the connection between combinatorial and analytic number theory. Bibliography: 162 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/RM2010v065n03ABEH004681

Additional details

Identifiers

DOI
10.1070/RM2010v065n03ABEH004681;

Publishing Information

Journal Title
Russian Mathematical Surveys
Journal Volume
65
Journal Issue
3
Journal Page Range
p. 513-567
ISSN
0036-0279
CODEN
RMSUAF

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42011548
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Resource subtype / Literary indicator
Bibliography
Descriptors DEI
BIBLIOGRAPHIES; FOURIER ANALYSIS; GROUP THEORY; MATHEMATICAL LOGIC; SUM RULES
Descriptors DEC
DOCUMENT TYPES; EQUATIONS; MATHEMATICS