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Sbornik: Mathematics, 2007, Volume 198, Issue 12, Pages 1805–1838
DOI: https://doi.org/10.1070/SM2007v198n12ABEH003907 (Mi sm3776) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Examples of sets with large trigonometric sums

I. D. Shkredov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (462 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/SM2007v198n12ABEH003907
Abstract: Let $A$ be a subset of $\mathbb Z/N\mathbb Z$, and let $R$ be a set of large Fourier coefficients of the set $A$. The question on the structure of $R$ is related to inverse problems of additive number theory. Properties of $R$ were studied by Chang, Green, and this author. The present paper is concerned with new results on sets of large Fourier coefficients. In addition, examples demonstrating the definitive character of earlier results are presented.
Bibliography: 27 titles.
Received: 11.10.2006 and 22.07.2007
Bibliographic databases:
UDC: 511.218+511.336
MSC: Primary 11L03; Secondary 42A05
Language: English
Original paper language: Russian
Citation: I. D. Shkredov, “Examples of sets with large trigonometric sums”, Sb. Math., 198:12 (2007), 1805–1838
Citation in format AMSBIB
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\paper Examples of sets with large trigonometric sums
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\vol 198
\issue 12
\pages 1805--1838
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  • https://www.mathnet.ru/eng/sm/v198/i12/p105
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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