Record link: 
http://hdl.handle.net/20.500.12708/136332
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Title: 
Möbius orthogonality of sequences with maximal entropy
en
Citation: 
Drmota, M., Mauduit, C., Rivat, J., & Spiegelhofer, L. (2022). Möbius orthogonality of sequences with maximal entropy. Journal d’Analyse Mathématique, 146(2), 531–548. https://doi.org/10.1007/s11854-022-0201-z
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Publisher DOI: 
10.1007/s11854-022-0201-z
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Publication Type: 
Article - Original Research Article
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Artikel - Original Research Article
de
Language: 
English
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Authors: 
Drmota, Michael 
Mauduit, Christian 
Rivat, Joël 
Spiegelhofer, Lukas 
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Organisational Unit: 
E104-05 - Forschungsbereich Kombinatorik und Algorithmen 
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Journal: 
Journal d'Analyse Mathématique 
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ISSN: 
0021-7670
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Date (published): 
3-Jun-2022
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Number of Pages: 
18
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Publisher: 
HEBREW UNIV MAGNES PRESS
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Peer reviewed: 
Yes
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Keywords: 
𝑏-multiplicative functions of modulus; Möbius orthogonality
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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.
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Project title: 
SFB-Teilprojekt: F5502-N26 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) 
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Research Areas: 
Mathematical and Algorithmic Foundations: 100%
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Science Branch: 
1020 - Informatik: 5%
1010 - Mathematik: 95%
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