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Dal'nevostochnyi Matematicheskii Zhurnal, 2023, Volume 23, Number 2, Pages 246–251
DOI: https://doi.org/10.47910/FEMJ202321 (Mi dvmg522) 		 
On coefficients and initial conditions of Somos-6 sequence having rank 3

M. A. Romanov

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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DOI: https://doi.org/10.47910/FEMJ202321
Abstract: In the paper we find the conditions for coefficients and initial values of the Somos‑6 sequence, which is the product of two Somos‑4 sequences and has a rank of at most 3.
Key words: Somos sequences, elliptic functions, sequences of finite rank, addition formulae.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-01290-23-00
The work was carried out within the framework of the state assignment of the IAM FEB RAS (No. 075-01290-23-00).
Received: 20.02.2023
Accepted: 14.11.2023
Document Type: Article
UDC: 517.52, 512.742.72
MSC: Primary 11B37; Secondary 33E05
Language: Russian
Citation: M. A. Romanov, “On coefficients and initial conditions of Somos-6 sequence having rank 3”, Dal'nevost. Mat. Zh., 23:2 (2023), 246–251
Citation in format AMSBIB
\Bibitem{Rom23}
\by M.~A.~Romanov
\paper On coefficients and initial conditions of Somos-6 sequence having rank 3
\jour Dal'nevost. Mat. Zh.
\yr 2023
\vol 23
\issue 2
\pages 246--251
\mathnet{http://mi.mathnet.ru/dvmg522}
\crossref{https://doi.org/10.47910/FEMJ202321}
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