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Truncated Lucas sequence and its period

ArticleAçık Erişim

Özet

We prove some theorems concerning the truncated Lucas sequences. We also state some conjectures concerning the period (mod m) of truncated Lucas sequences, where the integer m is at least 2. In addition, we present some computer-generated results that tend to support these conjectures.

Anahtar Kelimeler

Fibonacci sequenceMultiplicative functionPeriodTruncated Fibonacci sequenceTruncated Lucas sequenceComputational methodsFibonacci sequencesLucas sequenceMultiplicative functionsMathematical techniques
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15336Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.amc.2014.01.014Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.date.accessioned2026-10-18T20:30:09.174161094Z
dc.date.available2026-10-18T20:30:09.174161094Z
dc.date.issued2014
dc.description.abstractWe prove some theorems concerning the truncated Lucas sequences. We also state some conjectures concerning the period (mod m) of truncated Lucas sequences, where the integer m is at least 2. In addition, we present some computer-generated results that tend to support these conjectures.
dc.identifier.doi10.1016/j.amc.2014.01.014
dc.identifier.eissn1873-5649
dc.identifier.endpage291
dc.identifier.issn0096-3003
dc.identifier.scopus2-s2.0-84893877053
dc.identifier.startpage285
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15336
dc.identifier.volume232
dc.identifier.wosWOS:000335201700030
dc.language.isoen
dc.publisherELSEVIER SCIENCE INC
dc.relation.ispartofApplied Mathematics and Computation
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFibonacci sequence
dc.subjectMultiplicative function
dc.subjectPeriod
dc.subjectTruncated Fibonacci sequence
dc.subjectTruncated Lucas sequence
dc.subjectComputational methods
dc.subjectFibonacci sequences
dc.subjectLucas sequence
dc.subjectMultiplicative functions
dc.subjectMathematical techniques
dc.titleTruncated Lucas sequence and its period
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus18
rdl.citation.wos20
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)