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

Lehrstuhl für Mathematik, Statistik und Geometrie (380)

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Begutachtung

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.

Originalsprache	Englisch
Seiten (von - bis)	531-548
Seitenumfang	18
Fachzeitschrift	Journal d'analyse mathématique
Jahrgang	146.2022
Ausgabenummer	August
DOIs	https://doi.org/10.1007/s11854-022-0201-z
Publikationsstatus	Veröffentlicht - 3 Juni 2022

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10.1007/s11854-022-0201-z

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

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AB - We prove that strongly b-multiplicative functions of modulus 1 along squares areasymptotically 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

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EP - 548

JO - Journal d'analyse mathématique

JF - Journal d'analyse mathématique

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