Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2024, Volume 115, Issue 3, Pages 439–449
DOI: https://doi.org/10.4213/mzm14120 (Mi mzm14120) 		 
On Periodicity of the Somos Sequences Modulo $m$

A. V. Ustinovab

a Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
b HSE University, Moscow
Full-text PDF (576 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm14120
Abstract: We prove the periodicity of finite rank Somos sequences modulo $m$. As an application, we prove the periodicity of the Somos-$(6)(\mathrm{mod}\ m)$ sequence.
Keywords: Somos sequence, division polynomial, elliptic-curve cryptography.
Funding agency Grant number
Russian Science Foundation 19-11-00065
This work was financially supported by the Russian Science Foundation, project 19-11-00065, https://rscf.ru/en/project/19-11-00065/.
Received: 28.07.2023
Revised: 20.09.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 3, Pages 405–413
DOI: https://doi.org/10.1134/S000143462403012X
Bibliographic databases:
Document Type: Article
UDC: 511.21
MSC: 11B50
Language: Russian
Citation: A. V. Ustinov, “On Periodicity of the Somos Sequences Modulo $m$”, Mat. Zametki, 115:3 (2024), 439–449; Math. Notes, 115:3 (2024), 405–413
Citation in format AMSBIB
\Bibitem{Ust24}
\by A.~V.~Ustinov
\paper On Periodicity of the Somos Sequences Modulo~$m$
\jour Mat. Zametki
\yr 2024
\vol 115
\issue 3
\pages 439--449
\mathnet{http://mi.mathnet.ru/mzm14120}
\crossref{https://doi.org/10.4213/mzm14120}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4767914}
\transl
\jour Math. Notes
\yr 2024
\vol 115
\issue 3
\pages 405--413
\crossref{https://doi.org/10.1134/S000143462403012X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85197670252}
Linking options:
  • https://www.mathnet.ru/eng/mzm14120
  • https://doi.org/10.4213/mzm14120
  • https://www.mathnet.ru/eng/mzm/v115/i3/p439
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:94
    Full-text PDF :1
    Russian version HTML:1
    References:15
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024