%0 Journal Article
%T On the Integrality of Somos 4 Sequences
%A Bet¨¹l Gezer
%J -
%D 2019
%X In this paper, it is shown that if (hn) is a Somos 4 sequence associated to an elliptic curve then each hn can be expressed as elements of the ring R = £¿[a1, a2, a3, a4, x, y, h¨C1¡À1, h0]. In particular, if h ¨C1 = ¡À1, then the Somos 4 sequence consist entirely of integers for n ¡Ý 0. Also the general term of the Somos 4 sequence is given which satisfies a binary recurrence relation
%K Somos 4 sequences
%K elliptic curves
%U http://dergipark.org.tr/erzifbed/issue/43859/415008