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// Dal'nevostochnyi Matematicheskii Zhurnal
// Archive
Dal'nevost. Mat. Zh.,
2023
Volume 23,
Number 2,
Pages
246–251
(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
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.
UDC:
517.52
,
512.742.72
MSC:
Primary
11B37
; Secondary
33E05
Received:
20.02.2023
Accepted:
14.11.2023
DOI:
10.47910/FEMJ202321
Fulltext:
PDF file (122 kB)
References
©
Steklov Math. Inst. of RAS
, 2025
Fulltext:
PDF file (122 kB)