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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
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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
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\paper On Periodicity of the Somos Sequences Modulo~$m$
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\issue 3
\pages 439--449
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\crossref{https://doi.org/10.4213/mzm14120}
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\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}
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