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On the structure of the spectrum of small sets

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Publication:507818
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DOI10.1016/j.jcta.2016.11.009zbMath1425.11021arXiv1504.01059OpenAlexW2962957985MaRDI QIDQ507818

Kaave Hosseini, Shachar Lovett

Publication date: 9 February 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01059


zbMATH Keywords

Fourier spectrumdoubling constantsum set


Mathematics Subject Classification ID

Arithmetic combinatorics; higher degree uniformity (11B30)





Cites Work

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  • A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.
  • On sets of large trigonometric sums
  • Mordell’s exponential sum estimate revisited
  • MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
  • From affine to two-source extractors via approximate duality
  • An Additive Combinatorics Approach Relating Rank to Communication Complexity
  • Arithmetic progressions in sumsets




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