About rank of Somos-6

N. V. Markova<sup>ab

a</sup> 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.

UDC: 517.52+512.742.72

MSC: 35Q31

Received: 20.04.2018