This article is cited in 4 papers

An Elementary Approach to the Study of Somos Sequences

A. V. Ustinov

Khabarovsk Division of the Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, ul. Dzerzhinskogo 54, Khabarovsk, 680000 Russia

Abstract: An elementary approach (not involving the theory of elliptic functions) is proposed to the proof of the main properties of the Somos-4 sequence.

Keywords: Somos-4 sequence, addition theorems, elliptic curves.

UDC: 517.583+512.742.72

Received: August 9, 2018
Revised: December 7, 2018
Accepted: December 10, 2018

DOI: 10.4213/tm3990

 English version: Proceedings of the Steklov Institute of Mathematics, 2019, 305, 305–317

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