<div class="csl-bib-body">
<div class="csl-entry">Deshouillers, J.-M., Drmota, M., & Müllner, C. (2023). Coprimality of Consecutive Elements in a Piatetski-Shapiro Sequence. In H. Maier, J. Steuding, & R. Steuding (Eds.), <i>Number Theory in Memory of Eduard Wirsing</i> (pp. 91–98). Springer. https://doi.org/10.1007/978-3-031-31617-3_7</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/190364
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dc.description.abstract
We show that in any Piatetski-Shapiro sequence with c in , there exist long subsequences of consecutive elements no pair of which are coprime, whereas for any c in , there exist infinitely many n such that all the elements in are pairwise coprime for H almost as large as .
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
Piatetski-Shapiro sequences
en
dc.subject
coprimality
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dc.subject
congruences
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dc.subject
distribution modulo 1
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dc.subject
trigonometric sums
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dc.title
Coprimality of Consecutive Elements in a Piatetski-Shapiro Sequence
en
dc.type
Book Contribution
en
dc.type
Buchbeitrag
de
dc.contributor.affiliation
Université de Bordeaux, France
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dc.relation.isbn
978-3-031-31617-3
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dc.description.startpage
91
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dc.description.endpage
98
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dc.relation.grantno
I 4945-N
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dc.type.category
Edited Volume Contribution
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tuw.booktitle
Number Theory in Memory of Eduard Wirsing
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tuw.relation.publisher
Springer
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tuw.relation.publisherplace
Cham
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tuw.project.title
Arithmetische Zufälligkeit
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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tuw.publisher.doi
10.1007/978-3-031-31617-3_7
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dc.description.numberOfPages
8
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tuw.author.orcid
0000-0002-2984-6005
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.grantfulltext
none
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item.openairecristype
http://purl.org/coar/resource_type/c_3248
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item.openairetype
book part
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item.languageiso639-1
en
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item.cerifentitytype
Publications
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item.fulltext
no Fulltext
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crisitem.author.dept
Université de Bordeaux
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crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
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crisitem.author.dept
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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crisitem.author.orcid
0000-0002-2984-6005
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crisitem.author.parentorg
E100 - Fakultät für Mathematik und Geoinformation
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
