<div class="csl-bib-body">
<div class="csl-entry">MARNAT, A., & Moshchevitin, N. (2025). On geometry of simultaneous approximation to three real numbers. <i>MOSCOW MATHEMATICAL JOURNAL</i>, <i>25</i>(1), 33–61. https://doi.org/DOI:10.17323/1609-4514-2025-25-1-33-61</div>
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Considering simultaneous approximation to three numbers, we study the geometry of the sequence of the best approximations. We provide a sharper lower bound for the ratio of ordinary and uniform exponent of Diophantine approximation, optimal in terms of this geometry.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.language.iso
en
-
dc.publisher
INDEPENDENT UNIV MOSCOW-IUM
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dc.relation.ispartof
MOSCOW MATHEMATICAL JOURNAL
-
dc.subject
simultaneous approximation
en
dc.subject
Diophantine exponents
en
dc.subject
best approximations
en
dc.title
On geometry of simultaneous approximation to three real numbers
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Université Paris-Est Créteil, France
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dc.description.startpage
33
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dc.description.endpage
61
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dc.relation.grantno
PAT1961524
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dc.rights.holder
Independent University of Moscow, Higher School of Economics.
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dc.type.category
Original Research Article
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tuw.container.volume
25
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tuw.container.issue
1
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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wb.publication.intCoWork
International Co-publication
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tuw.project.title
Geometrie der Zahlen in Diophantischer Approximation
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
MOSCOW MATHEMATICAL JOURNAL
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tuw.publication.orgunit
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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tuw.publisher.doi
DOI:10.17323/1609-4514-2025-25-1-33-61
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dc.identifier.eissn
1609-4514
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dc.description.numberOfPages
29
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tuw.author.orcid
0000-0001-9347-7649
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dc.description.sponsorshipexternal
FWF-Projekt I 5554
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dc.relation.grantnoexternal
I 5554
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true
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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1020
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1010
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5
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95
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restricted
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research article
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http://purl.org/coar/resource_type/c_2df8fbb1
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Publications
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item.languageiso639-1
en
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item.fulltext
no Fulltext
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crisitem.author.dept
Université Paris-Est Créteil
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crisitem.author.dept
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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crisitem.author.orcid
0000-0001-9347-7649
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
