Abstract
In this paper we strengthen the result of Fomin and Zelevinsky (2002) on the Laurent phenomenon for Somos-4 and Somos-5 sequences.
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References
M. D. Monina, Dal’nevost. Mat. Zh., 18:1 (2018), 85–89.
A. V. Ustinov, Trudy Mat. Inst. Steklov., 2019 (to appear).
S. Fomin and A. Zelevinsky, Adv. Appl. Math., 28:2 (2002), 119–144.
A. Hone, Bull. Lond. Math. Soc., 37:2 (2005), 161–171.
A. Hone, Trans. Amer. Math. Soc., 359:10 (2007), 5019–5034.
M. Somos, Somos polynomials, http://grail.eecs.csuohio.edu/~somos/somospol.html.
A. J. van der Poorten and C. S. Swart, Bull. London Math. Soc., 38:4 (2006), 546–554.
C. S. Swart, Elliptic curves and related sequences, PhD Thesis, Royal Holloway, University of London, 2003.
Funding
Supported by RFBR grant no. 17-01-00225. The second author’s research was carried out in the framework of State Contract no. 1.557.2016/1.4.
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Russian Text © The Author (s), 2019. Published in Funktsional’ nyi Analiz i Ego Prilozheniya, 2019, Vol. 53, No. 3, pp. 79–83.
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Bykovskii, V.A., Ustinov, A.V. On the Laurent Phenomenon for Somos-4 and Somos-5 Sequences. Funct Anal Its Appl 53, 220–223 (2019). https://doi.org/10.1134/S0016266319030067
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DOI: https://doi.org/10.1134/S0016266319030067