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Dal'nevost. Mat. Zh., 2018, Volume 18, Number 1, Pages 71–74 (Mi dvmg367)  

About rank of Somos-6

N. V. Markovaab

a Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
b Pacific National University, Khabarovsk

Abstract: For theta functions from two variables follows from an addition formula that the rank of the sequence of Somos-6 does not surpass four. In work the example of the sequence of Somos-6 with a rank 4 is constructed.

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

Full text: PDF file (226 kB)
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UDC: 517.52+512.742.72
MSC: 35Q31
Received: 20.04.2018

Citation: N. V. Markova, “About rank of Somos-6”, Dal'nevost. Mat. Zh., 18:1 (2018), 71–74

Citation in format AMSBIB
\Bibitem{Mar18}
\by N.~V.~Markova
\paper About rank of Somos-6
\jour Dal'nevost. Mat. Zh.
\yr 2018
\vol 18
\issue 1
\pages 71--74
\mathnet{http://mi.mathnet.ru/dvmg367}


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