-8 -9


. .

2015, 1, . 70-75


-8 -9.

:
, , - ,

( PDF)

[1] M. Somos, Problem 1470, Crux Mathematicorum 15 208, 1989.
[2] D. Gale, Mathematical Entertainments: The Strange and Surprising Saga of the Somos Sequences, Math. Intel., 13, 1991, 4042.
[3] S. Fomin, A. Zelevinsky, The Laurent Phenomenon, Adv. Appl. Math., 28, 2002, 1944.
[4] A. N. W. Hone, C. S. Swart, Integrality and the Laurent phenomenon for Somos-4 and Somos-5 sequences, Mathematical Proceedigs of the Cambridge Philosophical Society, 145 (2008), 6585.
[5] A. N. W. Hone, Elliptic curves and quadratic recurrence sequences, Bull. Lond. Math. Soc., 37, 2005, 161171.
[6] A. N. W. Hone, Sigma function solution of the initial value problem for Somos-5 sequences, Trans. Amer. Math. Soc. at press; math. NT/0501554, 2006.
[7] V. Bykovskii, Elliptic systems of sequences and functions, 2015, http://www.skoltech.ru/app/data/uploads/sites/29/2015/02/Skolkovo_Bykovskii.pdf.