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Algebra i Analiz, 2013, Volume 25, Issue 6, Pages 1–23 (Mi aa1360)  
This article is cited in 11 scientific papers (total in 11 papers)

Research Papers

Geometrization of Fibonacci numeration system and its applications to number theory

E. P. Davletyarovaa, A. A. Zhukovab, A. V. Shutova

a Vladimir State University, Faculty of Physics and Mathematics, Vladimir, Russia
b Russian Academy of National Economy and Public Administration under the President of the Russian Federation (Vladimir Branch), Vladimir, Russia
Full-text PDF (311 kB) Citations (11)
References:
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Received: 22.07.2012
English version:
St. Petersburg Mathematical Journal, 2014, Volume 25, Issue 6, Pages 893–907
DOI: https://doi.org/10.1090/S1061-0022-2014-01321-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. P. Davletyarova, A. A. Zhukova, A. V. Shutov, “Geometrization of Fibonacci numeration system and its applications to number theory”, Algebra i Analiz, 25:6 (2013), 1–23; St. Petersburg Math. J., 25:6 (2014), 893–907
Citation in format AMSBIB
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\paper Geometrization of Fibonacci numeration system and its applications to number theory
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\pages 1--23
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Linking options:
  • https://www.mathnet.ru/eng/aa1360
  • https://www.mathnet.ru/eng/aa/v25/i6/p1
    • This publication is cited in the following 11 articles:
    1. A. V. Shutov, “Ob odnoi additivnoi zadache, svyazannoi s razlozheniyami po lineinoi rekurrentoi posledovatelnosti”, Chebyshevskii sb., 24:3 (2023), 228–241  mathnet  crossref
    2. A. A. Zhukova, A. V. Shutov, “Ob analoge zadachi Eminyana dlya sistemy schisleniya Fibonachchi”, Chebyshevskii sb., 23:2 (2022), 88–105  mathnet  crossref
    3. Wu L., Cai H., “Novel Stream Ciphering Algorithm For Big Data Images Using Zeckendorf Representation”, Wirel. Commun. Mob. Comput., 2021 (2021), 4637876  crossref  isi
    4. A. V. Shutov, “Obobschennye razbieniya Rozi i lineinye rekurrentnye posledovatelnosti”, Chebyshevskii sb., 22:2 (2021), 313–333  mathnet  crossref
    5. A. V. Shutov, “Ob odnoi summe, svyazannoi s sistemoi schisleniya Fibonachchi”, Dalnevost. matem. zhurn., 20:2 (2020), 271–275  mathnet  crossref
    6. A. A. Zhukova, A. V. Shutov, “Additivnaya zadacha s k chislami spetsialnogo vida”, Materialy IV Mezhdunarodnoi nauchnoi konferentsii “Aktualnye problemy prikladnoi matematiki”. Kabardino-Balkarskaya respublika, Nalchik, Prielbruse, 22–26 maya 2018 g. Chast II, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 166, VINITI RAN, M., 2019, 10–21  mathnet  crossref
    7. A. V. Shutov, “Fraktaly Rozi i ikh teoretiko-chislovye prilozheniya”, Materialy IV Mezhdunarodnoi nauchnoi konferentsii “Aktualnye problemy prikladnoi matematiki”. Kabardino-Balkarskaya respublika, Nalchik, Prielbruse, 22–26 maya 2018 g. Chast II, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 166, VINITI RAN, M., 2019, 110–119  mathnet  crossref
    8. R. R. Salimov, “O stepennom poryadke rosta nizhnikh Q-gomeomorfizmov”, Vladikavk. matem. zhurn., 19:2 (2017), 36–48  mathnet
    9. A. A. Zhukova, A. V. Shutov, “Geometrizatsiya sistem schisleniya”, Chebyshevskii sb., 18:4 (2017), 222–245  mathnet  crossref  elib
    10. E. P. Davletyarova, A. A. Zhukova, A. V. Shutov, “Geometrizatsiya obobschennykh sistem schisleniya Fibonachchi i ee prilozheniya k teorii chisel”, Chebyshevskii sb., 17:2 (2016), 88–112  mathnet  elib
    11. A. A. Zhukova, A. V. Shutov, “Binarnaya additivnaya zadacha s chislami spetsialnogo vida”, Chebyshevskii sb., 16:3 (2015), 246–275  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
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