OPERATIONS ON ELLIPTIC DIVISIBILITY SEQUENCES

被引：1

作者：

Bizim, Osman ^{[1
]}

Gezer, Betul ^{[1
]}

机构：

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

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 55卷 / 03期

关键词：

elliptic divisibility sequences; operations on bilinear sequences; periodicity properties of product sequences; elliptic curves; CURVES;

D O I：

10.4134/BKMS.b170227

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the element-wise (Hadamard) product (or sum) of elliptic divisibility sequences and study the periodic structure of these sequences. We obtain that the element-wise product (or sum) of elliptic divisibility sequences are periodic modulo a prime p like linear recurrence sequences. Then we study periodicity properties of product sequences. We generalize our results to the case of modulo p(l) for some prime p > 3 and positive integer l. Finally we consider the p-adic behavior of product sequences and give a generalization of [9, Theorem 4].

引用

页码：763 / 776

页数：14

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