Normality along squares
type: Item
instance of: scholarly article
title: Normality along squares
zbMATH Open document ID: 1430.11010
DOI: 10.4171/JEMS/843
author: Michael Drmota
author: Christian Mauduit
author: Joël Rivat
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2019-02-14T00:00:00Z
review text: It is shown that the Thue-Morse sequence has the property that the subsequence obtained by sampling along the squares is normal. The same argument may be applied to show normality along any quadratic polynomial, and the question of whether the same holds along cubic polynomials or the primes is raised. The argument to prove the result along the squares involves a sophisticated use of exponential sum estimates.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 11B85
Mathematics Subject Classification ID: 11K16
Mathematics Subject Classification ID: 11L07
Mathematics Subject Classification ID: 37B10
zbMATH DE Number: 7023652
zbMATH Keywords: normal sequences
zbMATH Keywords: Thue-Morse sequence
zbMATH Keywords: exponential sums
zbMATH Keywords: correlation
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/jems/843
OpenAlex ID: W2898526269
Wikidata QID: Q129032559
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description: scientific article; zbMATH DE number 7023652