Multiple correlation sequences not approximable by nilsequences

DOI10.1017/etds.2021.66OpenAlexW3185968633WikidataQ114118735 ScholiaQ114118735MaRDI QIDQ5095126

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Publication date: 5 August 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14960

zbMATH Keywords

recurrencenilsequencemultiple

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• Distribution of values of bounded generalized polynomials
• Equidistribution of sparse sequences on nilmanifolds
• On Szemerédi’s theorem with differences from a random set
• Towards 3-query locally decodable codes of subexponential length
• High-entropy dual functions over finite fields and locally decodable codes
• Some open problems on multiple ergodic averages
• An Averaged Chowla and Elliott Conjecture Along Independent Polynomials
• Gaussian Width Bounds with Applications to Arithmetic Progressions in Random Settings

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