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Tr. Mat. Inst. Steklova, 2019, Volume 305, Pages 330–343 (Mi tm3990)  

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

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.

Funding Agency Grant Number
Russian Science Foundation 14-11-00335
This work is supported by the Russian Science Foundation under grant 14-11-00335.


DOI: https://doi.org/10.4213/tm3990

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 305, 305–317

Bibliographic databases:

UDC: 517.583+512.742.72
Received: August 9, 2018
Revised: December 7, 2018
Accepted: December 10, 2018

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, Tr. 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 Tr. Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 330--343
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3990}
\crossref{https://doi.org/10.4213/tm3990}
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\jour Proc. Steklov Inst. Math.
\yr 2019
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\pages 305--317
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  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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