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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 330–343
DOI: https://doi.org/10.4213/tm3990 (Mi tm3990) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An Elementary Approach to the Study of Somos Sequences

A. V. Ustinov

Khabarovsk Division of the Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000 Russia
Full-text PDF (219 kB) Citations (4)
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DOI: https://doi.org/10.4213/tm3990
Abstract: An elementary approach (not involving the theory of elliptic functions) is proposed to the proof of the main properties of the Somos-4 sequence.
Keywords: Somos-4 sequence, addition theorems, elliptic curves.
Funding agency Grant number
Russian Science Foundation 14-11-00335
This work is supported by the Russian Science Foundation under grant 14-11-00335.
Received: August 9, 2018
Revised: December 7, 2018
Accepted: December 10, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 305–317
DOI: https://doi.org/10.1134/S0081543819030180
Bibliographic databases:
Document Type: Article
UDC: 517.583+512.742.72
Language: Russian
Citation: A. V. Ustinov, “An Elementary Approach to the Study of Somos Sequences”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 330–343; Proc. Steklov Inst. Math., 305 (2019), 305–317
Citation in format AMSBIB
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\paper An Elementary Approach to the Study of Somos Sequences
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 330--343
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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  • https://doi.org/10.4213/tm3990
  • https://www.mathnet.ru/eng/tm/v305/p330
    • This publication is cited in the following 4 articles:
    1. A. V. Ustinov, “On Periodicity of the Somos Sequences Modulo m”, Math. Notes, 115:3 (2024), 405–413  mathnet  crossref  crossref  mathscinet
    2. A. A. Illarionov, “Existence of sequences satisfying bilinear type recurrence relations”, Problems Inform. Transmission, 59:2 (2023), 163–180  mathnet  crossref  crossref
    3. V. A. Bykovskii, M. A. Romanov, “Polynomial Somos Sequences”, Funct. Anal. Appl., 55:1 (2021), 15–25  mathnet  crossref  crossref  isi  elib
    4. A. V. Ustinov, “On Somos-4 and Somos-5 Sequences”, Math. Notes, 110:3 (2021), 470–472  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    References:56
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