Möbius orthogonality for sequences with maximal entropy

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Authors

External Organisational units

  • Institute of Materials Science and Technology
  • CNRS

Abstract

We prove that strongly b-multiplicative functions of modulus 1 along squares are
asymptotically orthogonal to the Möbius function. This provides examples of sequences having maximal entropy and satisfying this property.

Details

Original languageEnglish
Pages (from-to)531-548
Number of pages18
Journal Journal d'analyse mathématique
Volume146.2022
Issue numberAugust
DOIs
Publication statusPublished - 3 Jun 2022