Far Eastern Mathematical Journal

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The Somos-6 sequences of rank 3


Avdeeva M.O.

2018, issue 1, Ñ. 3-8


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.

Keywords:
Somos sequences, elliptic functions, addition theorems

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References

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