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Dal'nevost. Mat. Zh., 2018, Volume 18, Number 1, Pages 3–8 (Mi dvmg359)  

The Somos-6 sequences of rank 3

M. O. Avdeeva

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences

Abstract: Nondegenerate Somos-$4$ sequences have rank $2$. The rank of the product of two such sequences does not exceed $4$, and then the Somos-$2k$ sequences with $k = 2, 3, 4$ arise. In this paper we construct pairs of Comos-$4$ sequences such that them products are the Comos-$6$ sequences.

Key words: Somos sequences, elliptic functions, addition theorems.

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Document Type: Article
UDC: 517.52+512.742.72
MSC: Primary 11B37; Secondary 33E05
Received: 27.04.2018

Citation: M. O. Avdeeva, “The Somos-6 sequences of rank 3”, Dal'nevost. Mat. Zh., 18:1 (2018), 3–8

Citation in format AMSBIB
\Bibitem{Avd18}
\by M.~O.~Avdeeva
\paper The Somos-6 sequences of rank 3
\jour Dal'nevost. Mat. Zh.
\yr 2018
\vol 18
\issue 1
\pages 3--8
\mathnet{http://mi.mathnet.ru/dvmg359}


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