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Russian Mathematical Surveys, 2010, Volume 65, Issue 3, Pages 513–567
DOI: https://doi.org/10.1070/RM2010v065n03ABEH004681 (Mi rm9355) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Fourier analysis in combinatorial number theory

I. D. Shkredov

M. V. Lomonosov Moscow State University
English version PDF (879 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/RM2010v065n03ABEH004681
Abstract: 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.
Keywords: Fourier analysis, combinatorial number theory, additive combinatorics.
Received: 07.10.2009
Bibliographic databases:
Document Type: Article
UDC: 511.218
MSC: Primary 11B25, 11B75, 42B99; Secondary 05B10, 11B13, 11L07, 11N13, 11P70, 11T23
Language: English
Original paper language: Russian
Citation: I. D. Shkredov, “Fourier analysis in combinatorial number theory”, Russian Math. Surveys, 65:3 (2010), 513–567
Citation in format AMSBIB
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\paper Fourier analysis in combinatorial number theory
\jour Russian Math. Surveys
\yr 2010
\vol 65
\issue 3
\pages 513--567
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  • https://www.mathnet.ru/eng/rm/v65/i3/p127
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1786
    Russian version PDF:814
    English version PDF:77
    References:101
    First page:71
     
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