Random differences in Szemerédi's theorem and related results

DOI10.1007/s11854-016-0030-zzbMath1414.11018arXiv1307.1922OpenAlexW2963968203MaRDI QIDQ518559

Emmanuel Lesigne, Máté Wierdl, Nikos Frantzikinakis

Publication date: 28 March 2017

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1922

Mathematics Subject Classification ID

Strong limit theorems (60F15) Arithmetic progressions (11B25) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (9)

Popular progression differences in vector spaces II ⋮ Some open problems on multiple ergodic averages ⋮ Arithmetic progressions with a pseudorandom step ⋮ Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ Higher uniformity of arithmetic functions in short intervals I. All intervals ⋮ Subspaces of tensors with high analytic rank ⋮ On Szemerédi’s theorem with differences from a random set ⋮ Rigidity sequences, Kazhdan sets and group topologies on the integers ⋮ High-entropy dual functions over finite fields and locally decodable codes

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