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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
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
Citation:
I. D. Shkredov, “Examples of sets with large trigonometric sums”, Sb. Math., 198:12 (2007), 1805–1838
Linking options:
https://www.mathnet.ru/eng/sm3776https://doi.org/10.1070/SM2007v198n12ABEH003907 https://www.mathnet.ru/eng/sm/v198/i12/p105
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Abstract page: | 551 | Russian version PDF: | 215 | English version PDF: | 10 | References: | 78 | First page: | 5 |
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