Journal d'Analyse Mathématique

, Volume 116, Issue 1, pp 53–82 | Cite as

On certain other sets of integers

  • Tom SandersEmail author


We show that if A ⊂ {1,...,N} contains no non-trivial three-term arithmetic progressions then |A| = O(N/log3/4−o(1) N).


Abelian Group Triangle Inequality Relative Entropy Arithmetic Progression Width Function 
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Copyright information

© Hebrew University Magnes Press 2012

Authors and Affiliations

  1. 1.Department of Pure Mathematics and Mathematical StatisticsUniversity of CambridgeCambridgeEngland

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