Continued fractions of arithmetic sequences of quadratics
dc.contributor.author
Aka, Menny
dc.date.accessioned
2020-09-16T07:12:34Z
dc.date.available
2020-09-16T03:09:00Z
dc.date.available
2020-09-16T07:12:34Z
dc.date.issued
2020-09
dc.identifier.issn
0723-0869
dc.identifier.issn
1878-0792
dc.identifier.other
10.1016/j.exmath.2019.05.004
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/440736
dc.description.abstract
Let x be a quadratic irrational and let P be the set of prime numbers. We show the existence of an infinite set S⊂P such that the statistics of the period of the continued fraction expansions along the sequence px:p∈S approach the ‘normal’ statistics given by the Gauss–Kuzmin measure. Under the generalized Riemann hypothesis, we prove that there exist full density subsets S⊂P and T⊂N satisfying the same assertion. We give a rate of convergence in all cases. © 2019 Elsevier GmbH
en_US
dc.language.iso
en
en_US
dc.publisher
Elsevier
en_US
dc.subject
Continued fractions
en_US
dc.subject
Diophantine approximation
en_US
dc.title
Continued fractions of arithmetic sequences of quadratics
en_US
dc.type
Journal Article
dc.date.published
2019-06-11
ethz.journal.title
Expositiones Mathematicae
ethz.journal.volume
38
en_US
ethz.journal.issue
3
en_US
ethz.journal.abbreviated
Expo. math.
ethz.pages.start
397
en_US
ethz.pages.end
406
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Munich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
ethz.date.deposited
2020-09-16T03:09:06Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2020-09-16T07:12:47Z
ethz.rosetta.lastUpdated
2021-02-15T17:16:27Z
ethz.rosetta.versionExported
true
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Journal Article [120834]