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
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.
Somos sequences, elliptic functions, addition theorems.
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MSC: Primary 11B37; Secondary 33E05
M. O. Avdeeva, “The Somos-6 sequences of rank 3”, Dal'nevost. Mat. Zh., 18:1 (2018), 3–8
Citation in format AMSBIB
\paper The Somos-6 sequences of rank 3
\jour Dal'nevost. Mat. Zh.
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