Möbius orthogonality for sequences with maximal entropy
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Authors
Organisational units
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.
asymptotically orthogonal to the Möbius function. This provides examples of sequences having maximal entropy and satisfying this property.
Details
Original language | English |
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Pages (from-to) | 531-548 |
Number of pages | 18 |
Journal | Journal d'analyse mathématique |
Volume | 146.2022 |
Issue number | August |
DOIs | |
Publication status | Published - 3 Jun 2022 |