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ADDITIVE DIMENSION AND A THEOREM OF SANDERS

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Publication:2788674
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DOI10.1017/S1446788715000324zbMath1364.11022arXiv1404.2044MaRDI QIDQ2788674

Tomasz Schoen, Ilya D. Shkredov

Publication date: 22 February 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2044

zbMATH Keywords

sumsetadditive energyadditive dimensiondissociated set


Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13)


Related Items

New upper bound for sums of dilates, On the dimension of additive sets, On subgraphs of random Cayley sum graphs, Improved bound in Roth's theorem on arithmetic progressions



Cites Work

  • On certain other sets of integers
  • Near optimal bounds in Freiman's theorem
  • On Roth's theorem on progressions
  • Roth's theorem on progressions revisited
  • A polynomial bound in Freiman's theorem.
  • Higher moments of convolutions
  • On the Bogolyubov-Ruzsa lemma
  • On triples in arithmetic progression
  • Sets with large additive energy and symmetric sets
  • New bounds on cap sets
  • On the dimension of additive sets
  • On a problem of Konyagin
  • Sums of Dilates
  • An equivalence between inverse sumset theorems and inverse conjectures for theU3norm
  • The structure theory of set addition revisited
  • Structure in Sets with Logarithmic Doubling
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