ISSN 1855-3966 (printed edn.), ISSN 1855-3974 (electronic edn.)
ARS MATHEMATICA CONTEMPORANEA 22 (2022) #P1.08
https://doi.org/10.26493/1855-3974.2473.f2e
(Also available at http://amc-journal.eu)
New strong divisibility sequences*
Zhibin Du
School of Software, South China Normal University, Foshan, Guangdong 528225, China
Darko Dimitrov
Faculty of Information Studies, 8000 Novo mesto, Slovenia
Carlos M. da Fonseca †
Kuwait College of Science and Technology,
Doha District, Block 4, P.O. Box 27235, Safat 13133, Kuwait, and
Chair of Computational Mathematics, University of Deusto,
48007 Bilbao, Basque Country, Spain
Received 28 October 2020, accepted 26 June 2021, published online 5 April 2022
Abstract
We provide new families of divisibility and strong divisibility sequences based on some
factorization properties of Chebyshev polynomials.
Keywords: Strong divisibility sequences, Chebyshev polynomials, tridiagonal matrices, determinant.
Math. Subj. Class. (2020): 11B37, 11B39, 11B83, 15B05, 33C45
*This work was supported by the National Natural Science Foundation of China (Grant No. 11701505).
†Corresponding author.
E-mail addresses: zhibindu@126.com (Zhibin Du), darko.dimitrov11@gmail.com (Darko Dimitrov),
c.dafonseca@kcst.edu.kw (Carlos M. da Fonseca)
cb This work is licensed under https://creativecommons.org/licenses/by/4.0/
ISSN 1855-3966 (tiskana izd.), ISSN 1855-3974 (elektronska izd.)
ARS MATHEMATICA CONTEMPORANEA 22 (2022) #P1.08
https://doi.org/10.26493/1855-3974.2473.f2e
(Dostopno tudi na http://amc-journal.eu)
Nova zlahka deljiva zaporedja*
Zhibin Du
School of Software, South China Normal University, Foshan, Guangdong 528225, China
Darko Dimitrov
Faculty of Information Studies, 8000 Novo mesto, Slovenia
Carlos M. da Fonseca †
Kuwait College of Science and Technology,
Doha District, Block 4, P.O. Box 27235, Safat 13133, Kuwait, and
Chair of Computational Mathematics, University of Deusto,
48007 Bilbao, Basque Country, Spain
Prejeto 28. oktobra 2020, sprejeto 26. junija 2021, objavljeno na spletu 5. aprila 2022
Povzetek
Predstavimo nove družine deljivih in zlahka deljivih zaporedij, osnovanih na nekaterih
faktorizacijskih lastnostih polinomov Čebiševa.
Ključne besede: Zlahka deljiva zaporedja, polinomi Čebiševa, tridiagonalne matrike, determinanta.
Math. Subj. Class. (2020): 11B37, 11B39, 11B83, 15B05, 33C45
*To delo je bilo podprto s strani National Natural Science Foundation of China (Dotacija št. 11701505).
†Kontaktni avtor.
E-poštni naslovi: zhibindu@126.com (Zhibin Du), darko.dimitrov11@gmail.com (Darko Dimitrov),
c.dafonseca@kcst.edu.kw (Carlos M. da Fonseca)
cb To delo je objavljeno pod licenco https://creativecommons.org/licenses/by/4.0/