Möbius orthogonality for sequences with maximal entropy

Michael Drmota; Christian Mauduit; Joel Rivat; Lukas Spiegelhofer

doi:10.1007/s11854-022-0201-z

Möbius orthogonality for sequences with maximal entropy

Michael Drmota
, Christian Mauduit
, Joel Rivat
, Lukas Spiegelhofer

Chair of Mathematics, Statistics and Geometry (380)

Institute of Materials Science and Technology
CNRS

Research output: Contribution to journal › Article › Research › peer-review

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.

Original language	English
Pages (from-to)	531-548
Number of pages	18
Journal	Journal d'analyse mathématique
Volume	146.2022
Issue number	August
DOIs	https://doi.org/10.1007/s11854-022-0201-z
Publication status	Published - 3 Jun 2022

Keywords

Möbius orthogonaly
Maximal entropy

Access to Document

10.1007/s11854-022-0201-z

Cite this

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title = "M{\"o}bius orthogonality for sequences with maximal entropy",

abstract = "We prove that strongly b-multiplicative functions of modulus 1 along squares are asymptotically orthogonal to the M{\"o}bius function. This provides examples of sequences having maximal entropy and satisfying this property.",

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author = "Michael Drmota and Christian Mauduit and Joel Rivat and Lukas Spiegelhofer",

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AU - Mauduit, Christian

AU - Rivat, Joel

AU - Spiegelhofer, Lukas

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N2 - 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.

AB - 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.

KW - Möbius orthogonaly

KW - Maximal entropy

U2 - 10.1007/s11854-022-0201-z

DO - 10.1007/s11854-022-0201-z

M3 - Article

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VL - 146.2022

SP - 531

EP - 548

JO - Journal d'analyse mathématique

JF - Journal d'analyse mathématique

IS - August

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