<div class="csl-bib-body">
<div class="csl-entry">Shubin, A. (2023). Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers. <i>Studia Mathematica</i>, <i>273</i>(3), 201–238. https://doi.org/10.4064/sm220818-3-8</div>
</div>
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dc.identifier.issn
0039-3223
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/191358
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dc.description.abstract
We show that the Möbius function is orthogonal to the Thue–Morse sequence
t(n) taken along the Piatetski-Shapiro numbers ⌊nᶜ⌋ for any 1 < c < 2. Previously,
this property was established for the subsequence along the squares t(n²). These are both examples of Möbius orthogonal sequences with maximum entropy.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.publisher
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
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dc.relation.ispartof
Studia Mathematica
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dc.subject
Piatetski-Shapiro sequences
en
dc.subject
Thue–Morse sequence
en
dc.subject
Möbius orthogonality
en
dc.title
Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers
en
dc.type
Article
en
dc.type
Artikel
de
dc.description.startpage
201
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dc.description.endpage
238
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dc.relation.grantno
I 4945-N
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dc.type.category
Original Research Article
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tuw.container.volume
273
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tuw.container.issue
3
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tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.project.title
Arithmetische Zufälligkeit
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tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Studia Mathematica
-
tuw.publication.orgunit
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
-
tuw.publisher.doi
10.4064/sm220818-3-8
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dc.date.onlinefirst
2023-11-14
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dc.identifier.eissn
1730-6337
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dc.description.numberOfPages
38
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wb.sci
true
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1020
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
5
-
wb.sciencebranch.value
95
-
item.languageiso639-1
en
-
item.openairetype
research article
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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crisitem.author.dept
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
