FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the maximum degrees of the coefficients of the Somos sequences |
Romanov M.A. |
2020, issue 2, P. 247–254 DOI: https://doi.org/10.47910/FEMJ202025 |
Abstract |
| Elements of the Somos-4, 5, 6, 7 sequences are polynomials in the coefficients. In the paper, we calculate the degrees of these polynomials. |
Keywords: Somos sequences, tropical sequences |
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References |
| [1] S. Fomin and A. Zelevinsky, “The Laurent Phenomenon”, Adv. Appl. Math., 28, (2002), 119–144. [2] R. Robinson, “Periodicity of Somos sequences”, Proceedings of the AMS, 116:3, (1992), 613–619. |