ELLIPTIC DIVISIBILITY SEQUENCES IN CERTAIN RANKS OVER FINITE FIELDS

被引：0

作者：

Gezer, B. ^{[1
]}

Bizim, O. ^{[1
]}

机构：

[1] Uludag Univ, Fac Sci, Dept Math, TR-16059 Bursa, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2009年 / 38卷 / 02期

关键词：

Elliptic divisibility sequences; Singular sequences; Elliptic curves; Singular curves;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop techniques first studied by Morgan Ward to characterize sequences which arise from elliptic curves and which contain a zero term. We first define elliptic divisibility sequences over finite fields by noting that they are not the sequences which arise by reduction from integer sequences. After that, we give general terms of these sequences over the finite fields F(p) (p > 3 is a prime) and then we determine elliptic curves and singular curves associated with them.

引用

页码：161 / 171

页数：11

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