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Some Properties of Lower Level-Sets of Convolutions

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Publication:2908126
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DOI10.1017/S0963548312000119zbMath1271.11012arXiv1108.1578OpenAlexW2118895874MaRDI QIDQ2908126

Ernie Croot

Publication date: 4 September 2012

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1578


zbMATH Keywords

abelian groupssum setBohr neighbourhood


Mathematics Subject Classification ID

Arithmetic combinatorics; higher degree uniformity (11B30)





Cites Work

  • A probabilistic technique for finding almost-periods of convolutions
  • On Roth's theorem on progressions
  • A new proof of Szemerédi's theorem for arithmetic progressions of length four
  • An improved construction of progression-free sets
  • On triples in arithmetic progression
  • A Szemerédi-type regularity lemma in abelian groups, with applications
  • New bounds on cap sets
  • On Additive Doubling and Energy
  • Construction of a Thin Set with small Fourier Coefficients
  • On Certain Sets of Integers
  • On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
  • Arithmetic progressions in sumsets




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