Nilsequences and multiple correlations along subsequences
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Publication:5110230
DOI10.1017/etds.2018.110zbMath1476.37014arXiv1708.01361OpenAlexW2744247725MaRDI QIDQ5110230
Publication date: 18 May 2020
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.01361
Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and number theory (37A44)
Related Items (9)
A decomposition of multicorrelation sequences for commuting transformations along primes ⋮ Higher uniformity of arithmetic functions in short intervals I. All intervals ⋮ Optimal lower bounds for multiple recurrence ⋮ Structure of multicorrelation sequences with integer part polynomial iterates along primes ⋮ The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures ⋮ Properties of multicorrelation sequences and large returns under some ergodicity assumptions ⋮ Odd order cases of the logarithmically averaged Chowla conjecture ⋮ Sublacunary sets and interpolation sets for nilsequences ⋮ The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures
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