A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.
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Publication:3188349
DOI10.1112/jlms/jdw010zbMath1364.11024arXiv1405.5800OpenAlexW3105325455WikidataQ56341564 ScholiaQ56341564MaRDI QIDQ3188349
Publication date: 19 August 2016
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.5800
Arithmetic progressions (11B25) Arithmetic theory of polynomial rings over finite fields (11T55) Arithmetic combinatorics; higher degree uniformity (11B30)
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Cites Work
- Unnamed Item
- On certain other sets of integers
- On Roth's theorem on progressions
- Roth's theorem on progressions revisited
- A polynomial bound in Freiman's theorem.
- On subsets of finite Abelian groups with no 3-term arithmetic progressions
- On triples in arithmetic progression
- Integer sets containing no arithmetic progressions
- New bounds on cap sets
- Translation invariant equations and the method of Sanders
- Additive structures in sumsets
- On sets of large trigonometric sums
- On sumsets of dissociated sets
- A GENERALIZATION OF ROTH'S THEOREM IN FUNCTION FIELDS
- Integer Sets Containing No Arithmetic Progressions
- Arithmetic Progressions in Sumsets and Lp-Almost-Periodicity
- 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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